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112454551440 = 243257112028401
BaseRepresentation
bin110100010111011010…
…0000100011110010000
3101202021011002002221200
41220232310010132100
53320301331121230
6123354431151200
711060504626050
oct1505664043620
9352234062850
10112454551440
1143767731a20
1219964975500
13a7b1ba57ca
14562b1a3560
152dd2847160
hex1a2ed04790

112454551440 has 240 divisors, whose sum is σ = 470848899456. Its totient is φ = 23367168000.

The previous prime is 112454551439. The next prime is 112454551441. The reversal of 112454551440 is 44155454211.

112454551440 is a `hidden beast` number, since 1 + 1 + 24 + 545 + 51 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (112454551439) and next prime (112454551441).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1124545514402 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 112454551395 and 112454551404.

It is not an unprimeable number, because it can be changed into a prime (112454551441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 958761 + ... + 1069640.

Almost surely, 2112454551440 is an apocalyptic number.

112454551440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112454551440 is an abundant number, since it is smaller than the sum of its proper divisors (358394348016).

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

112454551440 is a wasteful number, since it uses less digits than its factorization.

112454551440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028438 (or 2028429 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 112454551440 in words is "one hundred twelve billion, four hundred fifty-four million, five hundred fifty-one thousand, four hundred forty".