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112391400744 = 233372103131787
BaseRepresentation
bin110100010101100001…
…1001010110100101000
3101202002202020201111000
41220223003022310220
53320134144310434
6123344253435000
711056110100200
oct1505303126450
9352082221430
10112391400744
1143735019967
121994779ba60
13a7a1a9472c
145622a45400
152dcc020b99
hex1a2b0cad28

112391400744 has 384 divisors, whose sum is σ = 369964108800. Its totient is φ = 31517216640.

The previous prime is 112391400707. The next prime is 112391400749. The reversal of 112391400744 is 447004193211.

112391400744 is a `hidden beast` number, since 1 + 123 + 91 + 400 + 7 + 44 = 666.

It is a super-2 number, since 2×1123914007442 (a number of 23 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 = 112391400699 and 112391400708.

It is not an unprimeable number, because it can be changed into a prime (112391400749) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142809519 + ... + 142810305.

It is an arithmetic number, because the mean of its divisors is an integer number (963448200).

Almost surely, 2112391400744 is an apocalyptic number.

112391400744 is a gapful number since it is divisible by the number (14) 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 112391400744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184982054400).

112391400744 is an abundant number, since it is smaller than the sum of its proper divisors (257572708056).

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

112391400744 is a wasteful number, since it uses less digits than its factorization.

112391400744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 112391400744 its reverse (447004193211), we get a palindrome (559395593955).

The spelling of 112391400744 in words is "one hundred twelve billion, three hundred ninety-one million, four hundred thousand, seven hundred forty-four".