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40131200508 = 22372263259507
BaseRepresentation
bin100101011000000000…
…011000010111111100
310211120210221012202120
4211120000120113330
51124142041404013
630234102522540
72620326401400
oct453000302774
9124523835676
1040131200508
111602401aa13
12793ba36450
133a272cb5b9
141d29ba1100
15109d2a1123
hex9580185fc

40131200508 has 72 divisors (see below), whose sum is σ = 109342138752. Its totient is φ = 11422416096.

The previous prime is 40131200503. The next prime is 40131200521. The reversal of 40131200508 is 80500213104.

It is a super-2 number, since 2×401312005082 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40131200503) 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, 24891 + ... + 284397.

It is an arithmetic number, because the mean of its divisors is an integer number (1518640816).

Almost surely, 240131200508 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40131200508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54671069376).

40131200508 is an abundant number, since it is smaller than the sum of its proper divisors (69210938244).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40131200508 is a wasteful number, since it uses less digits than its factorization.

40131200508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259791 (or 259782 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 40131200508 in words is "forty billion, one hundred thirty-one million, two hundred thousand, five hundred eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 263 294 526 588 789 1052 1578 1841 3156 3682 5523 7364 11046 12887 22092 25774 38661 51548 77322 154644 259507 519014 778521 1038028 1557042 1816549 3114084 3633098 5449647 7266196 10899294 12715843 21798588 25431686 38147529 50863372 68250341 76295058 136500682 152590116 204751023 273001364 409502046 477752387 819004092 955504774 1433257161 1911009548 2866514322 3344266709 5733028644 6688533418 10032800127 13377066836 20065600254 40131200508