| Base | Representation |
|---|---|
| bin | 100000000000111110101… |
| … | …1100100010001010000000 |
| 3 | 120120122120002122221012100 |
| 4 | 1000001331130202022000 |
| 5 | 1034043002143034130 |
| 6 | 13205222421430400 |
| 7 | 632620563414312 |
| oct | 100017534421200 |
| 9 | 16518502587170 |
| 10 | 4400151143040 |
| 11 | 1447103676a74 |
| 12 | 5b094186b400 |
| 13 | 25bc17846013 |
| 14 | 112d7b6077b2 |
| 15 | 796d0cabc60 |
| hex | 4007d722280 |
4400151143040 has 384 divisors, whose sum is σ = 16014814592400. Its totient is φ = 1111534534656.
The previous prime is 4400151143027. The next prime is 4400151143081. The reversal of 4400151143040 is 403411510044.
4400151143040 is a `hidden beast` number, since 4 + 40 + 0 + 151 + 1 + 430 + 40 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 844090537536 + 3556060605504 = 918744^2 + 1885752^2 .
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-4 number, since 4×44001511430404 (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 4400151142995 and 4400151143013.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8604612 + ... + 9101628.
Almost surely, 24400151143040 is an apocalyptic number.
4400151143040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4400151143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8007407296200).
4400151143040 is an abundant number, since it is smaller than the sum of its proper divisors (11614663449360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4400151143040 is a wasteful number, since it uses less digits than its factorization.
4400151143040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 497124 (or 497109 counting only the distinct ones).
The product of its (nonzero) digits is 3840, while the sum is 27.
Adding to 4400151143040 its reverse (403411510044), we get a palindrome (4803562653084).
The spelling of 4400151143040 in words is "four trillion, four hundred billion, one hundred fifty-one million, one hundred forty-three thousand, forty".
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