Recognised as Number
13,990,000,000
- Positive
- Even
- Composite
- 11 digits
13,990,000,000 is an even 11-digit integer and a composite number. It has 128 divisors and a digital root of 4.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value13,990,000,000
Digit count11
Digit sum22
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root4repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation2^7 × 5^7 × 1,399
Distinct prime factors32, 5, 1,399
Number of divisors128
Sum of divisors σ(n)34,863,192,000
Aliquot sum20,873,192,000sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)5,592,000,000integers below n that share no factor with it
Carmichael function λ(n)349,500,000the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 5,592,000,000
Möbius function μ(n)0zero, because a prime divides n twice
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, 320, 400, 500, 625, 640, 800, 1,000, 1,250, 1,399, 1,600, 2,000, 2,500, 2,798, 3,125, 3,200, 4,000, 5,000, 5,596, 6,250, 6,995, 8,000, 10,000, 11,192, 12,500, 13,990, 15,625, 16,000, 20,000, 22,384, 25,000, 27,980, 31,250, 34,975, 40,000, 44,768, 50,000, 55,960, 62,500, 69,950, 78,125, 80,000, 89,536, 100,000, 111,920, 125,000, 139,900, 156,250, 174,875, 179,072, 200,000, 223,840, 250,000, 279,800, 312,500, 349,750, 400,000, 447,680, 500,000, 559,600, 625,000, 699,500, 874,375, 895,360, 1,000,000, 1,119,200, 1,250,000, 1,399,000, 1,748,750, 2,000,000, 2,238,400, 2,500,000, 2,798,000, 3,497,500, 4,371,875, 4,476,800, 5,000,000, 5,596,000, 6,995,000, 8,743,750, 10,000,000, 11,192,000, 13,990,000, 17,487,500, 21,859,375, 22,384,000, 27,980,000, 34,975,000, 43,718,750, 55,960,000, 69,950,000, 87,437,500, 109,296,875, 111,920,000, 139,900,000, 174,875,000, 218,593,750, 279,800,000, 349,750,000, 437,187,500, 559,600,000, 699,500,000, 874,375,000, 1,399,000,000, 1,748,750,000, 2,798,000,000, 3,497,500,000, 6,995,000,000, 13,990,000,000128 in total
Arithmetic
Previous number13,989,999,999
Next number13,990,000,001
Double27,980,000,000
Half6,995,000,000
Square195,720,100,000,000,000,000
Cube2,738,124,199,000,000,000,000,000,000,000
Square root118,279.33040054≈irrational, shown to 9 decimal places
Cube root2,409.568284095≈
Negation-13,990,000,000
Reciprocal7.14796283 × 10^-11≈
Representations
Decimal13,990,000,000
Binary110100000111011110011101011000000034 bits
Octal150167472600
Hexadecimal341DE7580
Base 366FDA934
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsthirteen billion, nine hundred and ninety million
Ordinalthirteen billion, nine hundred and ninety millionth
Scientific notation1.399 × 10^10
Engineering notation13.99 × 10^9
In other bases
Ternary1100002222122122011011base 3; the most digit-efficient integer base after e: 22 digits
Quinary212122420000000base 5; one hand: 15 digits
Septenary1003454016004base 7: 13 digits
Nonary40088578134base 9; each digit is two ternary digits: 11 digits
Duodecimal2865280994base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 10 digits
Vigesimalaibha000base 20; hands and feet, and the Mayan and Yoruba systems: 8 digits
Sexagesimal17:59:28:31:6:40base 60; Babylonian, and still how an hour and a circle are divided: 6 digits
Balanced ternary1100010000T00T0T011011digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary11101000110001000111000101010000000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000000000000000000000000000001101000001110111100111010110000000
Bit length34 bitsto write the magnitude
Set bits16the population count, or Hamming weight
Zero bits18within that length
Bit parityeven16 set bits, so even; not the same as the number itself being even
Highest set bitbit 33worth 8,589,934,592
Lowest set bitbit 77 trailing zeros
Power of twoNo
Bytes503 41 de 75 80
Gray code1011100001001100010100111101000000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
64-bit0000000000000000000000000000001101000001110111100111010110000000
One's complement1111111111111111111111111111110010111110001000011000101001111111at 64 bits, every bit flipped
Bits reversed0000000110101110011110111000001011000000000000000000000000000000at 64 bits
Rotated left by 10000000000000000000000000000011010000011101111001110101100000000at 64 bits, wrapping
Shifted left by 111010000011101111001110101100000000= 27,980,000,000, no wrap
Shifted right by 1110100000111011110011101011000000= 6,995,000,000, discarding the low bit
These bits as a double6.91197839 × 10^-314≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
13,990,000,000 to the power 2195,720,100,000,000,000,000
13,990,000,000 to the power 32,738,124,199,000,000,000,000,000,000,000
13,990,000,000 to the power 4383063575440100000000000000000… (41 digits)
13,990,000,000 to the power 5535905942040699900000000000000… (51 digits)
First ten multiples13,990,000,000, 27,980,000,000, 41,970,000,000, 55,960,000,000, 69,950,000,000, 83,940,000,000, 97,930,000,000, 111,920,000,000, 125,910,000,000, 139,900,000,000
Powers of twoBetween 2^33 (8,589,934,592) and 2^34 (17,179,869,184)
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 4
Divisible by 8Yes
Divisible by 9No, remainder 4
Divisible by 10Yes
Divisible by 11No, remainder 9
Divisible by 12No, remainder 4
Divisible by 100Yes
Collatz (3n + 1) trajectory
Steps to reach 1251the total stopping time
Highest value reached13,990,000,000
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps13,990,000,000 → 6,995,000,000 → 3,497,500,000 → 1,748,750,000 → 874,375,000 → 437,187,500 → 218,593,750 → 109,296,875 → 327,890,626 → 163,945,313 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage1,399,000,000,000%
13,990,000,000% as a decimal139,900,000
13,990,000,000% of 10013,990,000,000
13,990,000,000% of 1,000139,900,000,000
As a fraction of 10013,990,000,000/100
Read another way
As seconds443 years, 115 days and 13 hours
As bytes13.029 GiB
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Neighbouring numbers
Derived from 13,990,000,000
Nearby primes
Nerdulate something else
Nothing in mind? Surprise me · today’s page