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114094720168 = 2311131910948157
BaseRepresentation
bin110101001000010010…
…0110100010010101000
3101220111110100022110121
41222100210310102220
53332131222021133
6124225301453024
711146242056062
oct1522044642250
9356443308417
10114094720168
1144429549a70
121a142111174
13a9b3933b50
145744d52732
152e7b82d02d
hex1a909344a8

114094720168 has 128 divisors (see below), whose sum is σ = 266987952000. Its totient is φ = 44935326720.

The previous prime is 114094720163. The next prime is 114094720177. The reversal of 114094720168 is 861027490411.

It is not an unprimeable number, because it can be changed into a prime (114094720163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2345146 + ... + 2393302.

It is an arithmetic number, because the mean of its divisors is an integer number (2085843375).

Almost surely, 2114094720168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114094720168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133493976000).

114094720168 is an abundant number, since it is smaller than the sum of its proper divisors (152893231832).

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

114094720168 is a wasteful number, since it uses less digits than its factorization.

114094720168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48315 (or 48311 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The spelling of 114094720168 in words is "one hundred fourteen billion, ninety-four million, seven hundred twenty thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 13 19 22 26 38 44 52 76 88 104 109 143 152 209 218 247 286 418 436 494 572 836 872 988 1144 1199 1417 1672 1976 2071 2398 2717 2834 4142 4796 5434 5668 8284 9592 10868 11336 15587 16568 21736 22781 26923 31174 45562 48157 53846 62348 91124 96314 107692 124696 182248 192628 215384 296153 385256 529727 592306 626041 914983 1059454 1184612 1252082 1829966 2118908 2369224 2504164 3659932 4237816 5008328 5249113 6886451 7319864 10064813 10498226 11894779 13772902 20129626 20996452 23789558 27545804 40259252 41992904 47579116 55091608 57740243 68238469 80518504 95158232 99733147 115480486 130842569 136476938 199466294 230960972 261685138 272953876 398932588 461921944 523370276 545907752 750623159 797865176 1046740552 1097064617 1296530911 1501246318 2194129234 2593061822 3002492636 4388258468 5186123644 6004985272 8776516936 10372247288 14261840021 28523680042 57047360084 114094720168