Search a number
-
+
114401342664 = 233271631392557
BaseRepresentation
bin110101010001011011…
…0011111010011001000
3101221021211022100110100
41222202312133103020
53333243220431124
6124315533445400
711156654240160
oct1524266372310
9357254270410
10114401342664
1144576636a94
121a208940860
13aa3231008b
14577396b5a0
152e986e91c9
hex1aa2d9f4c8

114401342664 has 96 divisors (see below), whose sum is σ = 356272038720. Its totient is φ = 32485546368.

The previous prime is 114401342651. The next prime is 114401342711. The reversal of 114401342664 is 466243104411.

114401342664 is a `hidden beast` number, since 1 + 1 + 440 + 134 + 26 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 614127 + ... + 778430.

It is an arithmetic number, because the mean of its divisors is an integer number (3711167070).

Almost surely, 2114401342664 is an apocalyptic number.

114401342664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114401342664 is an abundant number, since it is smaller than the sum of its proper divisors (241870696056).

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

114401342664 is a wasteful number, since it uses less digits than its factorization.

114401342664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392739 (or 1392732 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 114401342664 in words is "one hundred fourteen billion, four hundred one million, three hundred forty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 163 168 252 326 489 504 652 978 1141 1304 1467 1956 2282 2934 3423 3912 4564 5868 6846 9128 10269 11736 13692 20538 27384 41076 82152 1392557 2785114 4177671 5570228 8355342 9747899 11140456 12533013 16710684 19495798 25066026 29243697 33421368 38991596 50132052 58487394 77983192 87731091 100264104 116974788 175462182 226986791 233949576 350924364 453973582 680960373 701848728 907947164 1361920746 1588907537 1815894328 2042881119 2723841492 3177815074 4085762238 4766722611 5447682984 6355630148 8171524476 9533445222 12711260296 14300167833 16343048952 19066890444 28600335666 38133780888 57200671332 114401342664