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114587831424 = 27311171983987
BaseRepresentation
bin110101010110111110…
…1111000110010000000
3101221202211012221221110
41222231331320302000
53334133441101144
6124350234523320
711164410332163
oct1525575706200
9357684187843
10114587831424
1144661930830
121a25b296540
13aa61b46561
145790633ada
152ea9c850b9
hex1aadf78c80

114587831424 has 256 divisors, whose sum is σ = 370084723200. Its totient is φ = 30960599040.

The previous prime is 114587831383. The next prime is 114587831497. The reversal of 114587831424 is 424138785411.

It is a super-2 number, since 2×1145878314242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1322359 + ... + 1406345.

It is an arithmetic number, because the mean of its divisors is an integer number (1445643450).

Almost surely, 2114587831424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114587831424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185042361600).

114587831424 is an abundant number, since it is smaller than the sum of its proper divisors (255496891776).

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

114587831424 is a wasteful number, since it uses less digits than its factorization.

114587831424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84051 (or 84039 counting only the distinct ones).

The product of its digits is 860160, while the sum is 48.

The spelling of 114587831424 in words is "one hundred fourteen billion, five hundred eighty-seven million, eight hundred thirty-one thousand, four hundred twenty-four".