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14690610234144 = 2532132301828777
BaseRepresentation
bin1101010111000110110010…
…0110101100001100100000
31221000102000212220211020200
43111301230212230030200
53411142332204443034
651124435001105200
73044235005444325
oct325615446541440
957012025824220
1014690610234144
114754286548209
12179317b788200
1382741ac73600
1438b05a69cb4c
151a720a987a99
hexd5c6c9ac320

14690610234144 has 108 divisors (see below), whose sum is σ = 45237191760306. Its totient is φ = 4520187749376.

The previous prime is 14690610234127. The next prime is 14690610234161. The reversal of 14690610234144 is 44143201609641.

14690610234144 is a `hidden beast` number, since 1 + 4 + 6 + 9 + 0 + 610 + 23 + 4 + 1 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (14690610234127) and next prime (14690610234161).

It can be written as a sum of positive squares in 3 ways, for example, as 5381936010000 + 9308674224144 = 2319900^2 + 3051012^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14690610234144.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 150865717 + ... + 150963060.

Almost surely, 214690610234144 is an apocalyptic number.

It is an amenable number.

14690610234144 is an abundant number, since it is smaller than the sum of its proper divisors (30546581526162).

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

14690610234144 is a wasteful number, since it uses less digits than its factorization.

14690610234144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301828819 (or 301828795 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 14690610234144 in words is "fourteen trillion, six hundred ninety billion, six hundred ten million, two hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 169 208 234 288 312 338 416 468 507 624 676 936 1014 1248 1352 1521 1872 2028 2704 3042 3744 4056 5408 6084 8112 12168 16224 24336 48672 301828777 603657554 905486331 1207315108 1810972662 2414630216 2716458993 3621945324 3923774101 4829260432 5432917986 7243890648 7847548202 9658520864 10865835972 11771322303 14487781296 15695096404 21731671944 23542644606 28975562592 31390192808 35313966909 43463343888 47085289212 51009063313 62780385616 70627933818 86926687776 94170578424 102018126626 125560771232 141255867636 153027189939 188341156848 204036253252 282511735272 306054379878 376682313696 408072506504 459081569817 565023470544 612108759756 816145013008 918163139634 1130046941088 1224217519512 1632290026016 1836326279268 2448435039024 3672652558536 4896870078048 7345305117072 14690610234144