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114305537244 = 223174321161757
BaseRepresentation
bin110101001110100100…
…1000001010011011100
3101221001011000221010110
41222131021001103130
53333044204142434
6124302232210020
711154412015113
oct1523511012334
9357034027113
10114305537244
114452754aa58
121a1a0839910
13aa18507892
145764d4cc7a
152e900c24e9
hex1a9d2414dc

114305537244 has 96 divisors (see below), whose sum is σ = 290343626496. Its totient is φ = 34860026880.

The previous prime is 114305537239. The next prime is 114305537257. The reversal of 114305537244 is 442735503411.

It is a super-2 number, since 2×1143055372442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1820014 + ... + 1881770.

It is an arithmetic number, because the mean of its divisors is an integer number (3024412776).

Almost surely, 2114305537244 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 114305537244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145171813248).

114305537244 is an abundant number, since it is smaller than the sum of its proper divisors (176038089252).

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

114305537244 is a wasteful number, since it uses less digits than its factorization.

114305537244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62035 (or 62033 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 114305537244 in words is "one hundred fourteen billion, three hundred five million, five hundred thirty-seven thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 17 34 43 51 68 86 102 129 172 204 211 258 422 516 633 731 844 1266 1462 2193 2532 2924 3587 4386 7174 8772 9073 10761 14348 18146 21522 27219 36292 43044 54438 61757 108876 123514 154241 185271 247028 308482 370542 462723 616964 741084 925446 1049869 1850892 2099738 2655551 3149607 4199476 5311102 6299214 7966653 10622204 12598428 13030727 15933306 26061454 31866612 39092181 45144367 52122908 78184362 90288734 135433101 156368724 180577468 221522359 270866202 443044718 541732404 560321261 664567077 886089436 1120642522 1329134154 1680963783 2241285044 2658268308 3361927566 6723855132 9525461437 19050922874 28576384311 38101845748 57152768622 114305537244