Search a number
-
+
114610054032 = 2433958727673
BaseRepresentation
bin110101010111101001…
…0101010001110010000
3101221211101000222122000
41222233102222032100
53334210133212112
6124352351114000
711165100246135
oct1525722521620
9357741028560
10114610054032
1144673429a21
121a266812900
13aa66627526
14579357a58c
152eabbc47dc
hex1aaf4aa390

114610054032 has 80 divisors (see below), whose sum is σ = 329019506880. Its totient is φ = 38197986048.

The previous prime is 114610054001. The next prime is 114610054123. The reversal of 114610054032 is 230450016411.

It is a happy number.

114610054032 is a `hidden beast` number, since 1 + 1 + 4 + 610 + 0 + 5 + 40 + 3 + 2 = 666.

114610054032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 114610053987 and 114610054005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4127748 + ... + 4155420.

It is an arithmetic number, because the mean of its divisors is an integer number (4112743836).

Almost surely, 2114610054032 is an apocalyptic number.

114610054032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114610054032 is an abundant number, since it is smaller than the sum of its proper divisors (214409452848).

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

114610054032 is a wasteful number, since it uses less digits than its factorization.

114610054032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37277 (or 37265 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 114610054032 in words is "one hundred fourteen billion, six hundred ten million, fifty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 9587 19174 27673 28761 38348 55346 57522 76696 83019 86283 110692 115044 153392 166038 172566 221384 230088 249057 258849 332076 345132 442768 460176 498114 517698 664152 690264 747171 996228 1035396 1328304 1380528 1494342 1992456 2070792 2988684 3984912 4141584 5977368 11954736 265301051 530602102 795903153 1061204204 1591806306 2122408408 2387709459 3183612612 4244816816 4775418918 6367225224 7163128377 9550837836 12734450448 14326256754 19101675672 28652513508 38203351344 57305027016 114610054032