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114642577640 = 23511173256517
BaseRepresentation
bin110101011000100111…
…0101110100011101000
3101221220122020100122002
41222301032232203220
53334241444441030
6124355512150132
711165643555143
oct1526116564350
9357818210562
10114642577640
114468a823438
121a275698348
13aa702a4076
145797a0505a
152eae99b245
hex1ab13ae8e8

114642577640 has 32 divisors (see below), whose sum is σ = 257969891880. Its totient is φ = 45852748032.

The previous prime is 114642577627. The next prime is 114642577661. The reversal of 114642577640 is 46775246411.

It can be written as a sum of positive squares in 4 ways, for example, as 73776337924 + 40866239716 = 271618^2 + 202154^2 .

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 7 ways as a sum of consecutive naturals, for example, 318662 + ... + 575178.

Almost surely, 2114642577640 is an apocalyptic number.

114642577640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114642577640 is an abundant number, since it is smaller than the sum of its proper divisors (143327314240).

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

114642577640 is a wasteful number, since it uses less digits than its factorization.

114642577640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267701 (or 267697 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 47.

The spelling of 114642577640 in words is "one hundred fourteen billion, six hundred forty-two million, five hundred seventy-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 11173 22346 44692 55865 89384 111730 223460 256517 446920 513034 1026068 1282585 2052136 2565170 5130340 10260680 2866064441 5732128882 11464257764 14330322205 22928515528 28660644410 57321288820 114642577640