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12419431404192 = 253443111429007
BaseRepresentation
bin1011010010111001111111…
…0011000001001010100000
31121222021201112021002020000
42310232133303001022200
53111434443414413232
642225224044420000
72421163042065501
oct264563763011240
947867645232200
1012419431404192
113a5906228782a
121486b76547600
136c11bb984117
1430d164736ba8
151680d06bc27c
hexb4b9fcc12a0

12419431404192 has 120 divisors (see below), whose sum is σ = 37374626431296. Its totient is φ = 4043535769728.

The previous prime is 12419431404137. The next prime is 12419431404241. The reversal of 12419431404192 is 29140413491421.

12419431404192 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 94 + 3 + 140 + 419 + 2 = 666.

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, 55603048 + ... + 55825959.

Almost surely, 212419431404192 is an apocalyptic number.

12419431404192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12419431404192 is an abundant number, since it is smaller than the sum of its proper divisors (24955195027104).

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

12419431404192 is a wasteful number, since it uses less digits than its factorization.

12419431404192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111429072 (or 111429055 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 12419431404192 in words is "twelve trillion, four hundred nineteen billion, four hundred thirty-one million, four hundred four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 81 86 96 108 129 144 162 172 216 258 288 324 344 387 432 516 648 688 774 864 1032 1161 1296 1376 1548 2064 2322 2592 3096 3483 4128 4644 6192 6966 9288 12384 13932 18576 27864 37152 55728 111456 111429007 222858014 334287021 445716028 668574042 891432056 1002861063 1337148084 1782864112 2005722126 2674296168 3008583189 3565728224 4011444252 4791447301 5348592336 6017166378 8022888504 9025749567 9582894602 10697184672 12034332756 14374341903 16045777008 18051499134 19165789204 24068665512 28748683806 32091554016 36102998268 38331578408 43123025709 48137331024 57497367612 72205996536 76663156816 86246051418 96274662048 114994735224 129369077127 144411993072 153326313632 172492102836 229989470448 258738154254 288823986144 344984205672 388107231381 459978940896 517476308508 689968411344 776214462762 1034952617016 1379936822688 1552428925524 2069905234032 3104857851048 4139810468064 6209715702096 12419431404192