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114002067675 = 35219711126781
BaseRepresentation
bin110101000101100001…
…1011000000011011011
3101220021000000002010210
41222023003120003123
53331434012131200
6124212151542203
711144035405146
oct1521303300333
9356230002123
10114002067675
1144391216861
121a11708a963
13a99a6937a2
14573691505d
152e7362a650
hex1a8b0d80db

114002067675 has 48 divisors (see below), whose sum is σ = 201198193920. Its totient is φ = 56789712000.

The previous prime is 114002067617. The next prime is 114002067709. The reversal of 114002067675 is 576760200411.

It is not a de Polignac number, because 114002067675 - 228 = 113733632219 is a prime.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 462216 + ... + 664565.

It is an arithmetic number, because the mean of its divisors is an integer number (4191629040).

Almost surely, 2114002067675 is an apocalyptic number.

114002067675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114002067675 is a deficient number, since it is larger than the sum of its proper divisors (87196126245).

114002067675 is a wasteful number, since it uses less digits than its factorization.

114002067675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126884 (or 1126879 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 114002067675 in words is "one hundred fourteen billion, two million, sixty-seven thousand, six hundred seventy-five".

Divisors: 1 3 5 15 19 25 57 71 75 95 213 285 355 475 1065 1349 1425 1775 4047 5325 6745 20235 33725 101175 1126781 3380343 5633905 16901715 21408839 28169525 64226517 80001451 84508575 107044195 240004353 321132585 400007255 535220975 1200021765 1520027569 1605662925 2000036275 4560082707 6000108825 7600137845 22800413535 38000689225 114002067675