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31274073540 = 22335472415113
BaseRepresentation
bin11101001000000101…
…000111110111000100
32222201112200112201000
4131020011013313010
51003022130323130
622211143533300
72155000144653
oct351005076704
988645615630
1031274073540
1112299443376
12608975a230
132c45323278
14172973b19a
15c308e7260
hex748147dc4

31274073540 has 192 divisors, whose sum is σ = 99799096320. Its totient is φ = 8126853120.

The previous prime is 31274073529. The next prime is 31274073553. The reversal of 31274073540 is 4537047213.

31274073540 is a `hidden beast` number, since 3 + 1 + 2 + 7 + 40 + 73 + 540 = 666.

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 = 31274073495 and 31274073504.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6114024 + ... + 6119136.

It is an arithmetic number, because the mean of its divisors is an integer number (519786960).

Almost surely, 231274073540 is an apocalyptic number.

31274073540 is a gapful number since it is divisible by the number (30) 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 31274073540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49899548160).

31274073540 is an abundant number, since it is smaller than the sum of its proper divisors (68525022780).

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

31274073540 is a wasteful number, since it uses less digits than its factorization.

31274073540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5419 (or 5411 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 31274073540 in words is "thirty-one billion, two hundred seventy-four million, seventy-three thousand, five hundred forty".