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143331431432112 = 243271112926716399
BaseRepresentation
bin100000100101101111110011…
…000011100011111110110000
3200210111100110220020000212200
4200211233303003203332300
5122241320232421311422
61224501314532223200
742122232326162040
oct4045576303437660
9623440426200780
10143331431432112
11417405784453a0
12140aa71246ab00
1361c9132b69831
1427573c7905720
1511885a5a1b2ac
hex825bf30e3fb0

143331431432112 has 120 divisors (see below), whose sum is σ = 500108804083200. Its totient is φ = 37228943226240.

The previous prime is 143331431432093. The next prime is 143331431432117. The reversal of 143331431432112 is 211234134133341.

143331431432112 is a `hidden beast` number, since 1 + 4 + 3 + 3 + 3 + 1 + 4 + 314 + 321 + 12 = 666.

It is a super-2 number, since 2×1433314314321122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (143331431432117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6463347112 + ... + 6463369287.

It is an arithmetic number, because the mean of its divisors is an integer number (4167573367360).

Almost surely, 2143331431432112 is an apocalyptic number.

143331431432112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

143331431432112 is an abundant number, since it is smaller than the sum of its proper divisors (356777372651088).

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

143331431432112 is a wasteful number, since it uses less digits than its factorization.

143331431432112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12926716431 (or 12926716422 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

Adding to 143331431432112 its reverse (211234134133341), we get a palindrome (354565565565453).

The spelling of 143331431432112 in words is "one hundred forty-three trillion, three hundred thirty-one billion, four hundred thirty-one million, four hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 5544 11088 12926716399 25853432798 38780149197 51706865596 77560298394 90487014793 103413731192 116340447591 142193880389 155120596788 180974029586 206827462384 232680895182 271461044379 284387760778 310241193576 361948059172 426581641167 465361790364 542922088758 568775521556 620482387152 723896118344 814383133137 853163282334 930723580728 995357162723 1085844177516 1137551043112 1279744923501 1447792236688 1628766266274 1706326564668 1861447161456 1990714325446 2171688355032 2275102086224 2559489847002 2986071488169 3257532532548 3412653129336 3981428650892 4343376710064 5118979694004 5972142976338 6515065065096 6825306258672 7962857301784 8958214464507 10237959388008 11944285952676 13030130130192 15925714603568 17916428929014 20475918776016 23888571905352 35832857858028 47777143810704 71665715716056 143331431432112