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149035214392992 = 2534149385893649
BaseRepresentation
bin100001111000101111110111…
…000000110100111010100000
3201112200121221100010212210000
4201320233313000310322200
5124013243104341033432
61244545455440140000
743251303355332204
oct4170576700647240
9645617840125700
10149035214392992
114353a530203aa4
1214870033907600
136520c6404a605
1428b34b2b6ab04
151236b3449757c
hex878bf7034ea0

149035214392992 has 120 divisors (see below), whose sum is σ = 441250094092500. Its totient is φ = 49344992557056.

The previous prime is 149035214392991. The next prime is 149035214393083. The reversal of 149035214392992 is 299293412530941.

149035214392992 is a `hidden beast` number, since 1 + 4 + 90 + 3 + 5 + 2 + 1 + 439 + 29 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 148789154743056 + 246059649936 = 12197916^2 + 496044^2 .

It is a super-2 number, since 2×1490352143929922 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (149035214392991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 192560617 + ... + 193333032.

Almost surely, 2149035214392992 is an apocalyptic number.

149035214392992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

149035214392992 is an abundant number, since it is smaller than the sum of its proper divisors (292214879699508).

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

149035214392992 is a wasteful number, since it uses less digits than its factorization.

149035214392992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385893820 (or 385893803 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 149035214392992 in words is "one hundred forty-nine trillion, thirty-five billion, two hundred fourteen million, three hundred ninety-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 149 162 216 288 298 324 432 447 596 648 864 894 1192 1296 1341 1788 2384 2592 2682 3576 4023 4768 5364 7152 8046 10728 12069 14304 16092 21456 24138 32184 42912 48276 64368 96552 128736 193104 386208 385893649 771787298 1157680947 1543574596 2315361894 3087149192 3473042841 4630723788 6174298384 6946085682 9261447576 10419128523 12348596768 13892171364 18522895152 20838257046 27784342728 31257385569 37045790304 41676514092 55568685456 57498153701 62514771138 83353028184 111137370912 114996307402 125029542276 166706056368 172494461103 229992614804 250059084552 333412112736 344988922206 459985229608 500118169104 517483383309 689977844412 919970459216 1000236338208 1034966766618 1379955688824 1552450149927 1839940918432 2069933533236 2759911377648 3104900299854 4139867066472 4657350449781 5519822755296 6209800599708 8279734132944 9314700899562 12419601199416 16559468265888 18629401799124 24839202398832 37258803598248 49678404797664 74517607196496 149035214392992