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40631417556 = 22323296775767
BaseRepresentation
bin100101110101110100…
…100011101011010100
310212212200011212112220
4211311310203223110
51131203120330211
630355452142340
72635612231212
oct456564435324
9125780155486
1040631417556
1116260415434
127a5b4679b0
133aa6b2b412
141d763b1cb2
1510cc15d806
hex975d23ad4

40631417556 has 96 divisors (see below), whose sum is σ = 103868835840. Its totient is φ = 12321369984.

The previous prime is 40631417549. The next prime is 40631417569. The reversal of 40631417556 is 65571413604.

It is a super-2 number, since 2×406314175562 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 498385 + ... + 574151.

It is an arithmetic number, because the mean of its divisors is an integer number (1081967040).

Almost surely, 240631417556 is an apocalyptic number.

40631417556 is a gapful number since it is divisible by the number (46) 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 40631417556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51934417920).

40631417556 is an abundant number, since it is smaller than the sum of its proper divisors (63237418284).

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

40631417556 is a wasteful number, since it uses less digits than its factorization.

40631417556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75893 (or 75891 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 40631417556 in words is "forty billion, six hundred thirty-one million, four hundred seventeen thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 12 23 29 46 58 67 69 87 92 116 134 138 174 201 268 276 348 402 667 804 1334 1541 1943 2001 2668 3082 3886 4002 4623 5829 6164 7772 8004 9246 11658 18492 23316 44689 75767 89378 134067 151534 178756 227301 268134 303068 454602 536268 909204 1742641 2197243 3485282 4394486 5076389 5227923 6591729 6970564 8788972 10152778 10455846 13183458 15229167 20305556 20911692 26366916 30458334 50536589 60916668 101073178 116756947 147215281 151609767 202146356 233513894 294430562 303219534 350270841 441645843 467027788 588861124 606439068 700541682 883291686 1401083364 1766583372 3385951463 6771902926 10157854389 13543805852 20315708778 40631417556