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345150390043536 = 243711175493226223
BaseRepresentation
bin100111001111010011001011…
…0011001001000001110010000
31200021002001111010101111121020
41032132212112121020032100
5330214420444322343121
63222023522241355440
7132462202264553340
oct11636462631101620
91607061433344536
10345150390043536
119aa80505144730
123286455b338b80
1311a7870807977c
146133521b7ad20
1529d8248c251c6
hex139e996648390

345150390043536 has 160 divisors (see below), whose sum is σ = 1177044569468928. Its totient is φ = 84375954769920.

The previous prime is 345150390043523. The next prime is 345150390043573. The reversal of 345150390043536 is 635340093051543.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2746550280 + ... + 2746675943.

Almost surely, 2345150390043536 is an apocalyptic number.

It is an amenable number.

345150390043536 is an abundant number, since it is smaller than the sum of its proper divisors (831894179425392).

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

345150390043536 is a wasteful number, since it uses less digits than its factorization.

345150390043536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5493226269 (or 5493226263 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 51.

The spelling of 345150390043536 in words is "three hundred forty-five trillion, one hundred fifty billion, three hundred ninety million, forty-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 17 21 22 24 28 33 34 42 44 48 51 56 66 68 77 84 88 102 112 119 132 136 154 168 176 187 204 231 238 264 272 308 336 357 374 408 462 476 528 561 616 714 748 816 924 952 1122 1232 1309 1428 1496 1848 1904 2244 2618 2856 2992 3696 3927 4488 5236 5712 7854 8976 10472 15708 20944 31416 62832 5493226223 10986452446 16479678669 21972904892 32959357338 38452583561 43945809784 60425488453 65918714676 76905167122 87891619568 93384845791 115357750683 120850976906 131837429352 153810334244 181276465359 186769691582 230715501366 241701953812 263674858704 280154537373 307620668488 362552930718 373539383164 422978419171 461431002732 483403907624 560309074746 615241336976 653693920537 725105861436 747078766328 845956838342 922862005464 966807815248 1027233303701 1120618149492 1268935257513 1307387841074 1450211722872 1494157532656 1691913676684 1845724010928 1961081761611 2054466607402 2241236298984 2537870515026 2614775682148 2900423445744 3081699911103 3383827353368 3922163523222 4108933214804 4482472597968 5075741030052 5229551364296 6163399822206 6767654706736 7190633125907 7844327046444 8217866429608 10151482060104 10459102728592 12326799644412 14381266251814 15688654092888 16435732859216 20302964120208 21571899377721 24653599288824 28762532503628 31377308185776 43143798755442 49307198577648 57525065007256 86287597510884 115050130014512 172575195021768 345150390043536