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114339472040 = 23513212163881
BaseRepresentation
bin110101001111100101…
…0011110001010101000
3101221010111212222220202
41222133022132022220
53333131401101130
6124305443411332
711155303322303
oct1523712361250
9357114788822
10114339472040
1144544718742
121a1b0083b48
13aa22559841
145769663b3a
152e93077145
hex1a9f29e2a8

114339472040 has 32 divisors (see below), whose sum is σ = 257458680360. Its totient is φ = 45701145600.

The previous prime is 114339472033. The next prime is 114339472061. The reversal of 114339472040 is 40274933411.

It can be written as a sum of positive squares in 4 ways, for example, as 102708712324 + 11630759716 = 320482^2 + 107846^2 .

It is a junction number, because it is equal to n+sod(n) for n = 114339471985 and 114339472003.

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, 1029101 + ... + 1134780.

Almost surely, 2114339472040 is an apocalyptic number.

114339472040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114339472040 is an abundant number, since it is smaller than the sum of its proper divisors (143119208320).

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

114339472040 is a wasteful number, since it uses less digits than its factorization.

114339472040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165213 (or 2165209 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The spelling of 114339472040 in words is "one hundred fourteen billion, three hundred thirty-nine million, four hundred seventy-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 1321 2642 5284 6605 10568 13210 26420 52840 2163881 4327762 8655524 10819405 17311048 21638810 43277620 86555240 2858486801 5716973602 11433947204 14292434005 22867894408 28584868010 57169736020 114339472040