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114164177413 = 11132104958543
BaseRepresentation
bin110101001010010110…
…1110001101000000101
3101220200022001002220011
41222110231301220011
53332302012134123
6124240222310221
711151044332246
oct1522455615005
9356608032804
10114164177413
114446477a250
121a161428371
13a9c5142600
145750272ccd
152e8299ce0d
hex1a94b71a05

114164177413 has 24 divisors (see below), whose sum is σ = 134990755200. Its totient is φ = 95709144960.

The previous prime is 114164177377. The next prime is 114164177419. The reversal of 114164177413 is 314771461411.

It is a de Polignac number, because none of the positive numbers 2k-114164177413 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114164177419) 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 23 ways as a sum of consecutive naturals, for example, 1920820 + ... + 1979362.

It is an arithmetic number, because the mean of its divisors is an integer number (5624614800).

Almost surely, 2114164177413 is an apocalyptic number.

114164177413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

114164177413 is a deficient number, since it is larger than the sum of its proper divisors (20826577787).

114164177413 is a wasteful number, since it uses less digits than its factorization.

114164177413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59629 (or 59616 counting only the distinct ones).

The product of its digits is 56448, while the sum is 40.

The spelling of 114164177413 in words is "one hundred fourteen billion, one hundred sixty-four million, one hundred seventy-seven thousand, four hundred thirteen".

Divisors: 1 11 13 143 169 1049 1859 11539 13637 58543 150007 177281 643973 761059 1950091 8371649 9893767 61411607 108831437 675527677 798350891 8781859801 10378561583 114164177413