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131421412331352 = 233411131418257493
BaseRepresentation
bin11101111000011011101110…
…100110010000111101011000
3122020022202122012002012220000
4131320123232212100331120
5114211202023024100402
61143302055141133000
736452612053160523
oct3570335646207530
9566282565065800
10131421412331352
1138969565125a30
12128a64250ba160
135843ca83421c0
142464b8a491bba
15102d88c452c1c
hex7786ee990f58

131421412331352 has 160 divisors (see below), whose sum is σ = 432455075070480. Its totient is φ = 36761234192640.

The previous prime is 131421412331351. The next prime is 131421412331359. The reversal of 131421412331352 is 253133214124131.

131421412331352 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 214 + 123 + 313 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131421412331351) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 709036083 + ... + 709221410.

Almost surely, 2131421412331352 is an apocalyptic number.

131421412331352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131421412331352 is an abundant number, since it is smaller than the sum of its proper divisors (301033662739128).

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

131421412331352 is a wasteful number, since it uses less digits than its factorization.

131421412331352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418257535 (or 1418257522 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

Adding to 131421412331352 its reverse (253133214124131), we get a palindrome (384554626455483).

The spelling of 131421412331352 in words is "one hundred thirty-one trillion, four hundred twenty-one billion, four hundred twelve million, three hundred thirty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 81 88 99 104 108 117 132 143 156 162 198 216 234 264 286 297 312 324 351 396 429 468 572 594 648 702 792 858 891 936 1053 1144 1188 1287 1404 1716 1782 2106 2376 2574 2808 3432 3564 3861 4212 5148 7128 7722 8424 10296 11583 15444 23166 30888 46332 92664 1418257493 2836514986 4254772479 5673029972 8509544958 11346059944 12764317437 15600832423 17019089916 18437347409 25528634874 31201664846 34038179832 36874694818 38292952311 46802497269 51057269748 55312042227 62403329692 73749389636 76585904622 93604994538 102114539496 110624084454 114878856933 124806659384 140407491807 147498779272 153171809244 165936126681 187209989076 202810821499 221248168908 229757713866 280814983614 306343618488 331872253362 374419978152 405621642998 421222475421 442496337816 459515427732 497808380043 561629967228 608432464497 663744506724 811243285996 842444950842 919030855464 995616760086 1123259934456 1216864928994 1263667426263 1327489013448 1493425140129 1622486571992 1684889901684 1825297393491 1991233520172 2433729857988 2527334852526 2986850280258 3369779803368 3650594786982 3982467040344 4867459715976 5054669705052 5475892180473 5973700560516 7301189573964 10109339410104 10951784360946 11947401121032 14602379147928 16427676541419 21903568721892 32855353082838 43807137443784 65710706165676 131421412331352