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149714466901632 = 273417383468513
BaseRepresentation
bin100010000010101000011101…
…100111100000111010000000
3201122002120012121120111220000
4202002220131213200322000
5124110410212011323012
61250225513202520000
743351341025361553
oct4202503547407200
9648076177514800
10149714466901632
1143781604577316
121495b800066000
136570023cb2c39
1428d830c7ac69a
15124963bd7eddc
hex882a1d9e0e80

149714466901632 has 160 divisors (see below), whose sum is σ = 448123253907780. Its totient is φ = 49616354525184.

The previous prime is 149714466901621. The next prime is 149714466901717. The reversal of 149714466901632 is 236109664417941.

It is a happy number.

149714466901632 is a `hidden beast` number, since 1 + 4 + 9 + 7 + 1 + 4 + 466 + 9 + 0 + 163 + 2 = 666.

149714466901632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 113377007762496 + 36337459139136 = 10647864^2 + 6028056^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 149714466901632.

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, 39940593 + ... + 43527920.

Almost surely, 2149714466901632 is an apocalyptic number.

149714466901632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

149714466901632 is an abundant number, since it is smaller than the sum of its proper divisors (298408787006148).

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

149714466901632 is an equidigital number, since it uses as much as digits as its factorization.

149714466901632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83468712 (or 83468691 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 149714466901632 in words is "one hundred forty-nine trillion, seven hundred fourteen billion, four hundred sixty-six million, nine hundred one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 173 192 216 288 324 346 384 432 519 576 648 692 864 1038 1152 1296 1384 1557 1728 2076 2592 2768 3114 3456 4152 4671 5184 5536 6228 8304 9342 10368 11072 12456 14013 16608 18684 22144 24912 28026 33216 37368 49824 56052 66432 74736 99648 112104 149472 199296 224208 298944 448416 597888 896832 1793664 83468513 166937026 250405539 333874052 500811078 667748104 751216617 1001622156 1335496208 1502433234 2003244312 2253649851 2670992416 3004866468 4006488624 4507299702 5341984832 6009732936 6760949553 8012977248 9014599404 10683969664 12019465872 13521899106 14440052749 16025954496 18029198808 24038931744 27043798212 28880105498 32051908992 36058397616 43320158247 48077863488 54087596424 57760210996 72116795232 86640316494 96155726976 108175192848 115520421992 129960474741 144233590464 173280632988 216350385696 231040843984 259920949482 288467180928 346561265976 389881424223 432700771392 462081687968 519841898964 693122531952 779762848446 865401542784 924163375936 1039683797928 1169644272669 1386245063904 1559525696892 1848326751872 2079367595856 2339288545338 2772490127808 3119051393784 4158735191712 4678577090676 5544980255616 6238102787568 8317470383424 9357154181352 12476205575136 16634940766848 18714308362704 24952411150272 37428616725408 49904822300544 74857233450816 149714466901632