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113531423940 = 2232511711276359
BaseRepresentation
bin110100110111100000…
…0000000110011000100
3101212001012101220022100
41221233000000303010
53330003021031230
6124053340232100
711126262116034
oct1515700006304
9355035356270
10113531423940
114416a5901a0
121a00553b630
13a92401967c
1456d02018c4
152e47160660
hex1a6f000cc4

113531423940 has 288 divisors, whose sum is σ = 384037355520. Its totient is φ = 26917228800.

The previous prime is 113531423933. The next prime is 113531423983. The reversal of 113531423940 is 49324135311.

113531423940 is a `hidden beast` number, since 1 + 13 + 531 + 4 + 23 + 94 + 0 = 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 = 113531423895 and 113531423904.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17850481 + ... + 17856839.

It is an arithmetic number, because the mean of its divisors is an integer number (1333463040).

Almost surely, 2113531423940 is an apocalyptic number.

113531423940 is a gapful number since it is divisible by the number (10) 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 113531423940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192018677760).

113531423940 is an abundant number, since it is smaller than the sum of its proper divisors (270505931580).

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

113531423940 is a wasteful number, since it uses less digits than its factorization.

113531423940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6583 (or 6578 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 113531423940 in words is "one hundred thirteen billion, five hundred thirty-one million, four hundred twenty-three thousand, nine hundred forty".