Recognised as Number
400,080,004
- Positive
- Even
- Composite
- Perfect square
- 9 digits
400,080,004 is an even 9-digit integer and a composite number. It has 27 divisors and a digital root of 7.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value400,080,004
Digit count9
Digit sum16
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root7repeated digit sum
PalindromicYesreads the same backwards
Perfect squareYes, 20,002²
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation2^2 × 73^2 × 137^2
Distinct prime factors32, 73, 137
Number of divisors27
Sum of divisors σ(n)715,081,647
Aliquot sum315,001,643sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)195,859,584integers below n that share no factor with it
Carmichael function λ(n)12,241,224the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 195,859,584
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 73, 137, 146, 274, 292, 548, 5,329, 10,001, 10,658, 18,769, 20,002, 21,316, 37,538, 40,004, 75,076, 730,073, 1,370,137, 1,460,146, 2,740,274, 2,920,292, 5,480,548, 100,020,001, 200,040,002, 400,080,00427 in total
Arithmetic
Previous number400,080,003
Next number400,080,005
Double800,160,008
Half200,040,002
Square160,064,009,600,640,016
Cube64,038,409,601,280,096,003,840,064
Square root20,002exact
Cube root736.855419329≈
Negation-400,080,004
Reciprocal2.49950007 × 10^-9≈
Representations
Decimal400,080,004
Binary1011111011000101111001000010029 bits
Octal2766136204
Hexadecimal17D8BC84
Base 366M73PG
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsfour hundred million, eighty thousand and four
Ordinalfour hundred million, eighty thousand and fourth
Scientific notation4.00080004 × 10^8
Engineering notation400.080004 × 10^6
In other bases
Ternary1000212211011120221base 3; the most digit-efficient integer base after e: 19 digits
Quinary1304410030004base 5; one hand: 13 digits
Septenary12625424002base 7: 11 digits
Nonary1025734527base 9; each digit is two ternary digits: 10 digits
Duodecimalb1b9b944base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 8 digits
Vigesimal650a004base 20; hands and feet, and the Mayan and Yoruba systems: 7 digits
Sexagesimal30:52:13:20:4base 60; Babylonian, and still how an hour and a circle are divided: 5 digits
Balanced ternary10010T0T111TTTT10T1digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1101000001010011100110110000100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00010111110110001011110010000100
Bit length29 bitsto write the magnitude
Set bits15the population count, or Hamming weight
Zero bits14within that length
Bit parityodd15 set bits, so odd; not the same as the number itself being even
Highest set bitbit 28worth 268,435,456
Lowest set bitbit 22 trailing zeros
Power of twoNo
Bytes417 d8 bc 84
Gray code11100001101001110001011000110n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00010111110110001011110010000100
64-bit0000000000000000000000000000000000010111110110001011110010000100
One's complement11101000001001110100001101111011at 32 bits, every bit flipped
Bits reversed00100001001111010001101111101000at 32 bits
Rotated left by 100101111101100010111100100001000at 32 bits, wrapping
Shifted left by 1101111101100010111100100001000= 800,160,008, no wrap
Shifted right by 11011111011000101111001000010= 200,040,002, discarding the low bit
These bits as a double1.97665786 × 10^-315≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
400,080,004 to the power 2160,064,009,600,640,016
400,080,004 to the power 364,038,409,601,280,096,003,840,064
400,080,004 to the power 425,620,487,169,433,779,214,336,716,820,480,256
400,080,004 to the power 5102502446092290150658069505228… (44 digits)
First ten multiples400,080,004, 800,160,008, 1,200,240,012, 1,600,320,016, 2,000,400,020, 2,400,480,024, 2,800,560,028, 3,200,640,032, 3,600,720,036, 4,000,800,040
Powers of twoBetween 2^28 (268,435,456) and 2^29 (536,870,912)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4Yes
Divisible by 5No, remainder 4
Divisible by 6No, remainder 4
Divisible by 7No, remainder 2
Divisible by 8No, remainder 4
Divisible by 9No, remainder 7
Divisible by 10No, remainder 4
Divisible by 11No, remainder 5
Divisible by 12No, remainder 4
Divisible by 100No, remainder 4
Collatz (3n + 1) trajectory
Steps to reach 1233the total stopping time
Highest value reached400,080,004
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps400,080,004 → 200,040,002 → 100,020,001 → 300,060,004 → 150,030,002 → 75,015,001 → 225,045,004 → 112,522,502 → 56,261,251 → 168,783,754 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage40,008,000,400%
400,080,004% as a decimal4,000,800.04
400,080,004% of 100400,080,004
400,080,004% of 1,0004,000,800,040
As a fraction of 100400,080,004/100
Read another way
As seconds12 years, 247 days and 13 hours
As bytes381.546 MiB
As a Unix timestamp1982-09-05 13:20:04 UTC
Keep nerding
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Neighbouring numbers
Derived from 400,080,004
Nearby primes
Also reads as
400,080,004 (unix timestamp)
- Unix time
- Sunday
- After the epoch
Unix timestamp 400,080,004 is 1982-09-05 13:20:04 UTC, a Sunday. In milliseconds it is 400,080,004,000, and it falls 4,630.6 days after the Unix epoch of 1 January 1970.
The moment
Unix timestamp (seconds)400,080,004
Unix timestamp (milliseconds)400,080,004,000
ISO 8601 (UTC)1982-09-05T13:20:04.000Z
Date (UTC)5 September 1982
Time (UTC)13:20:04
Day of the weekSunday
RFC 2822Sun, 05 Sep 1982 13:20:04 GMT
Epoch arithmetic
Days since the epoch4,630.5556
Hours since the epoch111,133
Weeks since the epoch661.5079
Seconds until the year 2038 problem1,747,403,643when a signed 32-bit time_t overflows
One hour later400,083,604
One day later400,166,404
One year later431,616,004
Relative to now
These values depend on today’s date and change daily.
In the past by44 years, 51 days and 11 minutes
Timestamp when this page rendered1,793,021,516
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