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1113808404240 = 24355721924179
BaseRepresentation
bin10000001101010100001…
…001110111111100010000
310221110221020000101100000
4100031110021313330100
5121222034422413430
62211402043330000
7143320132140600
oct20152411677420
93843836011300
101113808404240
1139a3aa897524
1215ba44220900
13810547b327c
143bca1348c00
151de8cd89e60
hex10354277f10

1113808404240 has 2160 divisors, whose sum is σ = 4940301300480. Its totient is φ = 232324485120.

The previous prime is 1113808404239. The next prime is 1113808404277. The reversal of 1113808404240 is 424048083111.

It is a happy number.

1113808404240 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 8 + 0 + 8 + 404 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×11138084042402 (a number of 25 digits) contains 22 as substring.

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 = 1113808404195 and 1113808404204.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 14098840521 + ... + 14098840599.

It is an arithmetic number, because the mean of its divisors is an integer number (2287176528).

Almost surely, 21113808404240 is an apocalyptic number.

1113808404240 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 1113808404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470150650240).

1113808404240 is an abundant number, since it is smaller than the sum of its proper divisors (3826492896240).

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

1113808404240 is a wasteful number, since it uses less digits than its factorization.

1113808404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 1113808404240 in words is "one trillion, one hundred thirteen billion, eight hundred eight million, four hundred four thousand, two hundred forty".