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144106855992 = 233211219870589
BaseRepresentation
bin1000011000110101110…
…0000001111000111000
3111202222001110210001200
42012031130001320320
54330112323342432
6150111330014200
713261050031251
oct2061534017070
9452861423050
10144106855992
115612a621900
1223b19117360
13107876879b8
146d90c39b28
153b36552a7c
hex218d701e38

144106855992 has 144 divisors (see below), whose sum is σ = 451575033000. Its totient is φ = 41370341760.

The previous prime is 144106855979. The next prime is 144106856039. The reversal of 144106855992 is 299558601441.

144106855992 is a `hidden beast` number, since 1 + 4 + 41 + 0 + 6 + 8 + 5 + 599 + 2 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 269767 + ... + 600822.

Almost surely, 2144106855992 is an apocalyptic number.

144106855992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144106855992 is an abundant number, since it is smaller than the sum of its proper divisors (307468177008).

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

144106855992 is a wasteful number, since it uses less digits than its factorization.

144106855992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870642 (or 870624 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 144106855992 in words is "one hundred forty-four billion, one hundred six million, eight hundred fifty-five thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 121 132 152 171 198 209 228 242 264 342 363 396 418 456 484 627 684 726 792 836 968 1089 1254 1368 1452 1672 1881 2178 2299 2508 2904 3762 4356 4598 5016 6897 7524 8712 9196 13794 15048 18392 20691 27588 41382 55176 82764 165528 870589 1741178 2611767 3482356 5223534 6964712 7835301 9576479 10447068 15670602 16541191 19152958 20894136 28729437 31341204 33082382 38305916 49623573 57458874 62682408 66164764 76611832 86188311 99247146 105341269 114917748 132329528 148870719 172376622 181953101 198494292 210682538 229835496 297741438 316023807 344753244 363906202 396988584 421365076 545859303 595482876 632047614 689506488 727812404 842730152 948071421 1091718606 1190965752 1264095228 1455624808 1637577909 1896142842 2001484111 2183437212 2528190456 3275155818 3792285684 4002968222 4366874424 6004452333 6550311636 7584571368 8005936444 12008904666 13100623272 16011872888 18013356999 24017809332 36026713998 48035618664 72053427996 144106855992