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112414230040 = 2357329359787
BaseRepresentation
bin110100010110001101…
…0010000011000011000
3101202011100012120101111
41220230122100120120
53320211020330130
6123350431030104
711056505122000
oct1505432203030
9352140176344
10112414230040
11437469a1952
121995336b334
13a7a67288a8
145625aa9000
152dce03002a
hex1a2c690618

112414230040 has 256 divisors, whose sum is σ = 306374400000. Its totient is φ = 37062176256.

The previous prime is 112414230031. The next prime is 112414230139. The reversal of 112414230040 is 40032414211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 112414229993 and 112414230020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142838527 + ... + 142839313.

It is an arithmetic number, because the mean of its divisors is an integer number (1196775000).

Almost surely, 2112414230040 is an apocalyptic number.

112414230040 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 112414230040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153187200000).

112414230040 is an abundant number, since it is smaller than the sum of its proper divisors (193960169960).

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

112414230040 is a wasteful number, since it uses less digits than its factorization.

112414230040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 112414230040 its reverse (40032414211), we get a palindrome (152446644251).

The spelling of 112414230040 in words is "one hundred twelve billion, four hundred fourteen million, two hundred thirty thousand, forty".