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114190643464992 = 2534311421130071
BaseRepresentation
bin11001111101101100010100…
…101111011000101100100000
3112222022112000021112221110000
4121331230110233120230200
5104431344414211334432
61042510242444540000
733024000411323163
oct3175542457305440
9488275007487400
10114190643464992
1133425a863237a6
1210982ab3551600
134b94192b051c3
14202abdc85bada
15d305624da57c
hex67db14bd8b20

114190643464992 has 120 divisors (see below), whose sum is σ = 346664785243392. Its totient is φ = 36835691414400.

The previous prime is 114190643464969. The next prime is 114190643465011. The reversal of 114190643464992 is 299464346091411.

114190643464992 is a `hidden beast` number, since 1 + 1 + 4 + 190 + 6 + 434 + 6 + 4 + 9 + 9 + 2 = 666.

114190643464992 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 710484684 + ... + 710645387.

Almost surely, 2114190643464992 is an apocalyptic number.

114190643464992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114190643464992 is an abundant number, since it is smaller than the sum of its proper divisors (232474141778400).

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

114190643464992 is a wasteful number, since it uses less digits than its factorization.

114190643464992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421130124 (or 1421130107 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 114190643464992 in words is "one hundred fourteen trillion, one hundred ninety billion, six hundred forty-three million, four hundred sixty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 248 279 288 324 372 432 496 558 648 744 837 864 992 1116 1296 1488 1674 2232 2511 2592 2976 3348 4464 5022 6696 8928 10044 13392 20088 26784 40176 80352 1421130071 2842260142 4263390213 5684520284 8526780426 11369040568 12790170639 17053560852 22738081136 25580341278 34107121704 38370511917 44055032201 45476162272 51160682556 68214243408 76741023834 88110064402 102321365112 115111535751 132165096603 136428486816 153482047668 176220128804 204642730224 230223071502 264330193206 306964095336 352440257608 396495289809 409285460448 460446143004 528660386412 613928190672 704880515216 792990579618 920892286008 1057320772824 1189485869427 1227856381344 1409761030432 1585981159236 1841784572016 2114641545648 2378971738854 3171962318472 3568457608281 3683569144032 4229283091296 4757943477708 6343924636944 7136915216562 9515886955416 12687849273888 14273830433124 19031773910832 28547660866248 38063547821664 57095321732496 114190643464992