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114131676696 = 23346116636203
BaseRepresentation
bin110101001001011000…
…1110010111000011000
3101220121000212220021220
41222102301302320120
53332220202123241
6124233101532040
711150201150052
oct1522261627030
9356530786256
10114131676696
11444483a0a54
121a152574020
13a9bb4a330b
145749c128d2
152e7ebcd166
hex1a92c72e18

114131676696 has 64 divisors (see below), whose sum is σ = 286166200320. Its totient is φ = 37932424320.

The previous prime is 114131676691. The next prime is 114131676749. The reversal of 114131676696 is 696676131411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114131676691) 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 15 ways as a sum of consecutive naturals, for example, 18396331 + ... + 18402533.

It is an arithmetic number, because the mean of its divisors is an integer number (4471346880).

Almost surely, 2114131676696 is an apocalyptic number.

It is an amenable number.

114131676696 is an abundant number, since it is smaller than the sum of its proper divisors (172034523624).

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

114131676696 is a wasteful number, since it uses less digits than its factorization.

114131676696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8336 (or 8332 counting only the distinct ones).

The product of its digits is 979776, while the sum is 51.

The spelling of 114131676696 in words is "one hundred fourteen billion, one hundred thirty-one million, six hundred seventy-six thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 24 461 922 1383 1663 1844 2766 3326 3688 4989 5532 6203 6652 9978 11064 12406 13304 18609 19956 24812 37218 39912 49624 74436 148872 766643 1533286 2299929 2859583 3066572 4599858 5719166 6133144 8578749 9199716 10315589 11438332 17157498 18399432 20631178 22876664 30946767 34314996 41262356 61893534 68629992 82524712 123787068 247574136 4755486529 9510973058 14266459587 19021946116 28532919174 38043892232 57065838348 114131676696