| Base | Representation |
|---|---|
| bin | 1011111011001010… |
| … | …00100110010100000 |
| 3 | 121112011012002010000 |
| 4 | 11331211010302200 |
| 5 | 101102332310430 |
| 6 | 2535125340000 |
| 7 | 314433504300 |
| oct | 57545046240 |
| 9 | 17464162100 |
| 10 | 6401838240 |
| 11 | 2795741906 |
| 12 | 12a7b67600 |
| 13 | 7b0401c85 |
| 14 | 44a331600 |
| 15 | 277060e60 |
| hex | 17d944ca0 |
6401838240 has 720 divisors, whose sum is σ = 27874749672. Its totient is φ = 1374879744.
The previous prime is 6401838227. The next prime is 6401838269. The reversal of 6401838240 is 428381046.
6401838240 is a `hidden beast` number, since 6 + 401 + 8 + 3 + 8 + 240 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 5985188496 + 416649744 = 77364^2 + 20412^2 .
It is a tau number, because it is divible by the number of its divisors (720).
It is a super-2 number, since 2×64018382402 = 81967065702252595200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 6401838195 and 6401838204.
It is an unprimeable number.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10795384 + ... + 10795976.
Almost surely, 26401838240 is an apocalyptic number.
6401838240 is a gapful number since it is divisible by the number (60) 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 6401838240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13937374836).
6401838240 is an abundant number, since it is smaller than the sum of its proper divisors (21472911432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6401838240 is a wasteful number, since it uses less digits than its factorization.
6401838240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 651 (or 627 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 36.
The square root of 6401838240 is about 80011.4881751365. The cubic root of 6401838240 is about 1856.8132738094.
The spelling of 6401838240 in words is "six billion, four hundred one million, eight hundred thirty-eight thousand, two hundred forty".
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