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Number

400,000,000,000,000,000,000

  • Positive
  • Even
  • Composite
  • Perfect square
  • 21 digits

400,000,000,000,000,000,000 is an even 21-digit integer and a composite number. It has 483 divisors and a digital root of 4.

Number properties

ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value400,000,000,000,000,000,000
Digit count21
Digit sum4
Digital root4repeated digit sum
PalindromicNoreads differently backwards
Perfect squareYes, 20,000,000,000²
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation2^22 × 5^20
Distinct prime factors22, 5
Number of divisors483
Sum of divisors σ(n)999,999,880,790,708,352,067
Aliquot sum599,999,880,790,708,352,067sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)160,000,000,000,000,000,000integers below n that share no factor with it
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 128, 160, 200, 250, 256, 320, 400, 500, 512, 625, 640, 800, 1,000, 1,024, 1,250, 1,280, 1,600, 2,000, 2,048, 2,500, 2,560, 3,125, 3,200, 4,000, 4,096, 5,000, 5,120, 6,250, 6,400, 8,000, 8,192, 10,000, 10,240, 12,500, 12,800, 15,625, 16,000, 16,384, 20,000, 20,480, 25,000, 25,600, 31,250, 32,000, 32,768, 40,000, 40,960, 50,000, 51,200, 62,500, 64,000, 65,536, 78,125, 80,000, 81,920, 100,000, 102,400, 125,000, 128,000, 131,072, 156,250, 160,000, 163,840, 200,000, 204,800, 250,000, 256,000, 262,144, 312,500, 320,000, 327,680, 390,625, 400,000, 409,600, 500,000, 512,000, 524,288, 625,000, 640,000, 655,360, 781,250, 800,000, 819,200, 1,000,000, 1,024,000, 1,048,576, 1,250,000, 1,280,000, 1,310,720, 1,562,500, 1,600,000, 1,638,400, 1,953,125, 2,000,000, 2,048,000, 2,097,152, 2,500,000, 2,560,000, 2,621,440, 3,125,000, 3,200,000, 3,276,800, 3,906,250, 4,000,000, 4,096,000, 4,194,304, 5,000,000, 5,120,000, 5,242,880, 6,250,000, 6,400,000, 6,553,600, 7,812,500, 8,000,000, 8,192,000, 9,765,625, 10,000,000, 10,240,000, 10,485,760, 12,500,000, 12,800,000, 13,107,200, 15,625,000, 16,000,000, 16,384,000, 19,531,250, 20,000,000, 20,480,000, 20,971,520, 25,000,000, 25,600,000, 26,214,400, 31,250,000, 32,000,000, 32,768,000, 39,062,500, 40,000,000, 40,960,000, 48,828,125, 50,000,000, 51,200,000, 52,428,800, 62,500,000, 64,000,000, 65,536,000, 78,125,000, 80,000,000, 81,920,000, 97,656,250, 100,000,000, 102,400,000, 104,857,600, 125,000,000, 128,000,000, 131,072,000, 156,250,000, 160,000,000, 163,840,000, 195,312,500, 200,000,000, 204,800,000, 244,140,625, 250,000,000, 256,000,000, 262,144,000, 312,500,000, 320,000,000, 327,680,000, 390,625,000, 400,000,000, 409,600,000, 488,281,250, 500,000,000, 512,000,000, 524,288,000, 625,000,000, 640,000,000, 655,360,000, 781,250,000, 800,000,000, 819,200,000, 976,562,500, 1,000,000,000, 1,024,000,000, 1,220,703,125, 1,250,000,000, 1,280,000,000, 1,310,720,000, 1,562,500,000, 1,600,000,000, 1,638,400,000, 1,953,125,000, 2,000,000,000, 2,048,000,000, 2,441,406,250, 2,500,000,000, 2,560,000,000, 2,621,440,000, 3,125,000,000, 3,200,000,000, 3,276,800,000, 3,906,250,000, 4,000,000,000, 4,096,000,000, 4,882,812,500, 5,000,000,000, 5,120,000,000, 6,103,515,625, 6,250,000,000, 6,400,000,000, 6,553,600,000, 7,812,500,000, 8,000,000,000, 8,192,000,000, 9,765,625,000, 10,000,000,000, 10,240,000,000, 12,207,031,250, 12,500,000,000, 12,800,000,000, 13,107,200,000, 15,625,000,000, 16,000,000,000, 16,384,000,000, 19,531,250,000, 20,000,000,000, 20,480,000,000, 24,414,062,500, 25,000,000,000, 25,600,000,000, 30,517,578,125, 31,250,000,000, 32,000,000,000, 32,768,000,000, 39,062,500,000, 40,000,000,000, 40,960,000,000, 48,828,125,000, 50,000,000,000, 51,200,000,000, 61,035,156,250, 62,500,000,000, 64,000,000,000, 65,536,000,000, 78,125,000,000, 80,000,000,000, 81,920,000,000, 97,656,250,000, 100,000,000,000, 102,400,000,000, 122,070,312,500, 125,000,000,000, 128,000,000,000, 152,587,890,625, 156,250,000,000, 160,000,000,000, 163,840,000,000, 195,312,500,000, 200,000,000,000, 204,800,000,000, 244,140,625,000, 250,000,000,000, 256,000,000,000, 305,175,781,250, 312,500,000,000, 320,000,000,000, 327,680,000,000, 390,625,000,000, 400,000,000,000, 409,600,000,000, 488,281,250,000, 500,000,000,000, 512,000,000,000, 610,351,562,500, 625,000,000,000, 640,000,000,000, 762,939,453,125, 781,250,000,000, 800,000,000,000, 819,200,000,000, 976,562,500,000, 1,000,000,000,000, 1,024,000,000,000, 1,220,703,125,000, 1,250,000,000,000, 1,280,000,000,000, 1,525,878,906,250, 1,562,500,000,000, 1,600,000,000,000, 1,638,400,000,000, 1,953,125,000,000, 2,000,000,000,000, 2,048,000,000,000, 2,441,406,250,000, 2,500,000,000,000, 2,560,000,000,000, 3,051,757,812,500, 3,125,000,000,000, 3,200,000,000,000, 3,814,697,265,625, 3,906,250,000,000, 4,000,000,000,000, 4,096,000,000,000, 4,882,812,500,000, 5,000,000,000,000, 5,120,000,000,000, 6,103,515,625,000, 6,250,000,000,000, 6,400,000,000,000, 7,629,394,531,250, 7,812,500,000,000, 8,000,000,000,000, 8,192,000,000,000, 9,765,625,000,000, 10,000,000,000,000, 10,240,000,000,000, 12,207,031,250,000, 12,500,000,000,000, 12,800,000,000,000, 15,258,789,062,500, 15,625,000,000,000, 16,000,000,000,000, 19,073,486,328,125, 19,531,250,000,000, 20,000,000,000,000, 20,480,000,000,000, 24,414,062,500,000, 25,000,000,000,000, 25,600,000,000,000, 30,517,578,125,000, 31,250,000,000,000, 32,000,000,000,000, 38,146,972,656,250, 39,062,500,000,000, 40,000,000,000,000, 40,960,000,000,000, 48,828,125,000,000, 50,000,000,000,000, 51,200,000,000,000, 61,035,156,250,000, 62,500,000,000,000, 64,000,000,000,000, 76,293,945,312,500, 78,125,000,000,000, 80,000,000,000,000, 95,367,431,640,625, 97,656,250,000,000, 100,000,000,000,000, 102,400,000,000,000, 122,070,312,500,000, 125,000,000,000,000, 128,000,000,000,000, 152,587,890,625,000, 156,250,000,000,000, 160,000,000,000,000, 190,734,863,281,250, 195,312,500,000,000, 200,000,000,000,000, 204,800,000,000,000, 244,140,625,000,000, 250,000,000,000,000, 256,000,000,000,000, 305,175,781,250,000, 312,500,000,000,000, 320,000,000,000,000, 381,469,726,562,500, 390,625,000,000,000, 400,000,000,000,000, 488,281,250,000,000, 500,000,000,000,000, 512,000,000,000,000, 610,351,562,500,000, 625,000,000,000,000, 640,000,000,000,000, 762,939,453,125,000, 781,250,000,000,000, 800,000,000,000,000, 976,562,500,000,000, 1,000,000,000,000,000, 1,024,000,000,000,000, 1,220,703,125,000,000, 1,250,000,000,000,000, 1,280,000,000,000,000, 1,525,878,906,250,000, 1,562,500,000,000,000, 1,600,000,000,000,000, 1,953,125,000,000,000, 2,000,000,000,000,000, 2,441,406,250,000,000, 2,500,000,000,000,000, 2,560,000,000,000,000, 3,051,757,812,500,000, 3,125,000,000,000,000, 3,200,000,000,000,000, 3,906,250,000,000,000, 4,000,000,000,000,000, 4,882,812,500,000,000, 5,000,000,000,000,000, 5,120,000,000,000,000, 6,103,515,625,000,000, 6,250,000,000,000,000, 6,400,000,000,000,000, 7,812,500,000,000,000, 8,000,000,000,000,000, 9,765,625,000,000,000, 10,000,000,000,000,000, 12,207,031,250,000,000, 12,500,000,000,000,000, 12,800,000,000,000,000, 15,625,000,000,000,000, 16,000,000,000,000,000, 19,531,250,000,000,000, 20,000,000,000,000,000, 24,414,062,500,000,000, 25,000,000,000,000,000, 25,600,000,000,000,000, 31,250,000,000,000,000, 32,000,000,000,000,000, 39,062,500,000,000,000, 40,000,000,000,000,000, 48,828,125,000,000,000, 50,000,000,000,000,000, 62,500,000,000,000,000, 64,000,000,000,000,000, 78,125,000,000,000,000, 80,000,000,000,000,000, 97,656,250,000,000,000, 100,000,000,000,000,000, 125,000,000,000,000,000, 128,000,000,000,000,000, 156,250,000,000,000,000, 160,000,000,000,000,000, 195,312,500,000,000,000, 200,000,000,000,000,000, 250,000,000,000,000,000, 312,500,000,000,000,000, 320,000,000,000,000,000, 390,625,000,000,000,000, 400,000,000,000,000,000, 500,000,000,000,000,000, 625,000,000,000,000,000, 640,000,000,000,000,000, 781,250,000,000,000,000, 800,000,000,000,000,000, 1,000,000,000,000,000,000, 1,250,000,000,000,000,000, 1,562,500,000,000,000,000, 1,600,000,000,000,000,000, 2,000,000,000,000,000,000, 2,500,000,000,000,000,000, 3,125,000,000,000,000,000, 3,200,000,000,000,000,000, 4,000,000,000,000,000,000, 5,000,000,000,000,000,000, 6,250,000,000,000,000,000, 8,000,000,000,000,000,000, 10,000,000,000,000,000,000, 12,500,000,000,000,000,000, 16,000,000,000,000,000,000, 20,000,000,000,000,000,000, 25,000,000,000,000,000,000, 40,000,000,000,000,000,000, 50,000,000,000,000,000,000, 80,000,000,000,000,000,000, 100,000,000,000,000,000,000, 200,000,000,000,000,000,000, 400,000,000,000,000,000,000483 in total

Arithmetic

Previous number399,999,999,999,999,999,999
Next number400,000,000,000,000,000,001
Double800,000,000,000,000,000,000
Square160,000,000,000,000,000,000,000,000,000,000,000,000,000
Cube64,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
Square root20,000,000,000exact
Cube root7,368,062≈
Negation-400,000,000,000,000,000,000

Representations

Decimal400,000,000,000,000,000,000
Binary10101101011110001110101111000101101011000110001000000000000000000000069 bits
Octal53274353613261420000000
Hexadecimal15AF1D78B58C400000
Base 362CF0G61R42WNB4
In wordsfour hundred quintillion
Ordinalfour hundred quintillionth
Engineering notation400 × 10^18

Nearest landmarks

Next prime400,000,000,000,000,000,031+31
Previous prime399,999,999,999,999,999,997−3
Distance to nearest prime3
Nearest square below400,000,000,000,000,000,000
Nearest square above400,000,000,040,000,000,001

Powers & multiples

400,000,000,000,000,000,000 to the power 2160000000000000000000000000000… (42 digits)
400,000,000,000,000,000,000 to the power 3640000000000000000000000000000… (62 digits)
400,000,000,000,000,000,000 to the power 4256000000000000000000000000000… (83 digits)
400,000,000,000,000,000,000 to the power 5102400000000000000000000000000… (104 digits)
First ten multiples400,000,000,000,000,000,000, 800,000,000,000,000,000,000, 1,200,000,000,000,000,000,000, 1,600,000,000,000,000,000,000, 2,000,000,000,000,000,000,000, 2,400,000,000,000,000,000,000, 2,800,000,000,000,000,000,000, 3,200,000,000,000,000,000,000, 3,600,000,000,000,000,000,000, 4,000,000,000,000,000,000,000
Powers of twoBetween 2^68 (295,147,905,179,352,825,856) and 2^69 (590,295,810,358,705,651,712)

Divisibility tests

Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6No, remainder 4
Divisible by 7No, remainder 1
Divisible by 8Yes
Divisible by 9No, remainder 4
Divisible by 10Yes
Divisible by 11No, remainder 4
Divisible by 12No, remainder 4
Divisible by 100Yes

Collatz (3n + 1) trajectory

Steps to reach 1472the total stopping time
Highest value reached400,000,000,000,000,000,000
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps400,000,000,000,000,000,000 → 200,000,000,000,000,000,000 → 100,000,000,000,000,000,000 → 50,000,000,000,000,000,000 → 25,000,000,000,000,000,000 → 12,500,000,000,000,000,000 → 6,250,000,000,000,000,000 → 3,125,000,000,000,000,000 → 1,562,500,000,000,000,000 → 781,250,000,000,000,000 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

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Every value on this page was computed from “400000000000000000000” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.