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113796109440 = 2734513231419
BaseRepresentation
bin110100111111011000…
…1101101010010000000
3101212201122110022120000
41221332301231102000
53331023301000230
6124135513320000
711135654653626
oct1517661552200
9355648408500
10113796109440
1144295a34342
121a07a106000
13a966b01500
145717421516
152e604e5b60
hex1a7ec6d480

113796109440 has 960 divisors, whose sum is σ = 455330937600. Its totient is φ = 27043061760.

The previous prime is 113796109439. The next prime is 113796109457. The reversal of 113796109440 is 44901697311.

It is a happy number.

113796109440 is a `hidden beast` number, since 1 + 13 + 7 + 96 + 109 + 440 = 666.

113796109440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×1137961094402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 271589551 + ... + 271589969.

It is an arithmetic number, because the mean of its divisors is an integer number (474303060).

Almost surely, 2113796109440 is an apocalyptic number.

113796109440 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 113796109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227665468800).

113796109440 is an abundant number, since it is smaller than the sum of its proper divisors (341534828160).

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

113796109440 is a wasteful number, since it uses less digits than its factorization.

113796109440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 113796109440 in words is "one hundred thirteen billion, seven hundred ninety-six million, one hundred nine thousand, four hundred forty".