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113142687840 = 253357134131
BaseRepresentation
bin110100101011111010…
…1000110100001100000
3101211001002221001122000
41221113311012201200
53323204012002330
6123551012244000
711113531656450
oct1512765064140
9354032831560
10113142687840
1143a90108a96
1219b17310600
13a891620000
14569472dd60
152e22e74560
hex1a57d46860

113142687840 has 960 divisors, whose sum is σ = 494026283520. Its totient is φ = 23689635840.

The previous prime is 113142687839. The next prime is 113142687841. The reversal of 113142687840 is 48786241311.

113142687840 is a `hidden beast` number, since 1 + 1 + 314 + 268 + 78 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (113142687839) and next prime (113142687841).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113142687841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 863684575 + ... + 863684705.

It is an arithmetic number, because the mean of its divisors is an integer number (514610712).

Almost surely, 2113142687840 is an apocalyptic number.

113142687840 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 113142687840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247013141760).

113142687840 is an abundant number, since it is smaller than the sum of its proper divisors (380883595680).

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

113142687840 is an equidigital number, since it uses as much as digits as its factorization.

113142687840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 113142687840 in words is "one hundred thirteen billion, one hundred forty-two million, six hundred eighty-seven thousand, eight hundred forty".