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31160004040 = 23511337210143
BaseRepresentation
bin11101000001010001…
…111110110111001000
32222102121001012202201
4131001101332313020
51002303430112130
622151551005544
72152113443554
oct350121766710
988377035681
1031160004040
1112240012260
1260575098b4
132c277c4819
141718526864
15c258b3bca
hex74147edc8

31160004040 has 64 divisors (see below), whose sum is σ = 76710965760. Its totient is φ = 11297233920.

The previous prime is 31160004017. The next prime is 31160004077. The reversal of 31160004040 is 4040006113.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 31160003999 and 31160004017.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43209 + ... + 253351.

It is an arithmetic number, because the mean of its divisors is an integer number (1198608840).

Almost surely, 231160004040 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 31160004040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38355482880).

31160004040 is an abundant number, since it is smaller than the sum of its proper divisors (45550961720).

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

31160004040 is a wasteful number, since it uses less digits than its factorization.

31160004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210502 (or 210498 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The spelling of 31160004040 in words is "thirty-one billion, one hundred sixty million, four thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 337 440 674 1348 1685 2696 3370 3707 6740 7414 13480 14828 18535 29656 37070 74140 148280 210143 420286 840572 1050715 1681144 2101430 2311573 4202860 4623146 8405720 9246292 11557865 18492584 23115730 46231460 70818191 92462920 141636382 283272764 354090955 566545528 708181910 779000101 1416363820 1558000202 2832727640 3116000404 3895000505 6232000808 7790001010 15580002020 31160004040