| Base | Representation |
|---|---|
| bin | 100101110011110100… |
| … | …011100101011100000 |
| 3 | 10212210022222200012200 |
| 4 | 211303310130223200 |
| 5 | 1131121021200324 |
| 6 | 30352252253200 |
| 7 | 2635023620265 |
| oct | 456364345340 |
| 9 | 125708880180 |
| 10 | 40597834464 |
| 11 | 16243467a10 |
| 12 | 7a50171200 |
| 13 | 3a9cba0575 |
| 14 | 1d71b4d26c |
| 15 | 10c9227ec9 |
| hex | 973d1cae0 |
40597834464 has 144 divisors (see below), whose sum is σ = 128625719040. Its totient is φ = 12040577280.
The previous prime is 40597834393. The next prime is 40597834469. The reversal of 40597834464 is 46443879504.
40597834464 is a `hidden beast` number, since 4 + 0 + 597 + 8 + 3 + 4 + 46 + 4 = 666.
40597834464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (144).
It is a self number, because there is not a number n which added to its sum of digits gives 40597834464.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (40597834469) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12567 + ... + 285225.
It is an arithmetic number, because the mean of its divisors is an integer number (893234160).
Almost surely, 240597834464 is an apocalyptic number.
40597834464 is a gapful number since it is divisible by the number (44) 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 40597834464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64312859520).
40597834464 is an abundant number, since it is smaller than the sum of its proper divisors (88027884576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40597834464 is a wasteful number, since it uses less digits than its factorization.
40597834464 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 272733 (or 272722 counting only the distinct ones).
The product of its (nonzero) digits is 11612160, while the sum is 54.
The spelling of 40597834464 in words is "forty billion, five hundred ninety-seven million, eight hundred thirty-four thousand, four hundred sixty-four".
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