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14149348679844 = 223272895612
BaseRepresentation
bin1100110111100110011011…
…1001101110000010100100
31212002122221102210222100100
43031321212321232002210
53323310331230223334
650032042051344100
72660154023236200
oct315714671560244
955078842728310
1014149348679844
114565783503314
1217062a42b2030
137b837c5a9561
1436cb91517b00
151980cc723c99
hexcde66e6e0a4

14149348679844 has 81 divisors (see below), whose sum is σ = 41606287461921. Its totient is φ = 4042625912640.

The previous prime is 14149348679833. The next prime is 14149348679861. The reversal of 14149348679844 is 44897684394141.

The square root of 14149348679844 is 3761562.

It is a perfect power (a square), and thus also a powerful number.

14149348679844 is a `hidden beast` number, since 1 + 4 + 1 + 493 + 4 + 8 + 6 + 7 + 98 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3039659745444 + 11109688934400 = 1743462^2 + 3333120^2 .

It is a super-2 number, since 2×141493486798442 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 157940824 + ... + 158030384.

Almost surely, 214149348679844 is an apocalyptic number.

14149348679844 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

14149348679844 is the 3761562-nd square number.

It is an amenable number.

14149348679844 is an abundant number, since it is smaller than the sum of its proper divisors (27456938782077).

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

14149348679844 is an frugal number, since it uses more digits than its factorization.

14149348679844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179146 (or 89573 counting only the distinct ones).

The product of its digits is 668860416, while the sum is 72.

The spelling of 14149348679844 in words is "fourteen trillion, one hundred forty-nine billion, three hundred forty-eight million, six hundred seventy-nine thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 89561 179122 268683 358244 537366 626927 806049 1074732 1253854 1612098 1880781 2507708 3224196 3761562 4388489 5642343 7523124 8776978 11284686 13165467 17553956 22569372 26330934 39496401 52661868 78992802 157985604 8021172721 16042345442 24063518163 32084690884 48127036326 56148209047 72190554489 96254072652 112296418094 144381108978 168444627141 224592836188 288762217956 336889254282 393037463329 505333881423 673778508564 786074926658 1010667762846 1179112389987 1572149853316 2021335525692 2358224779974 3537337169961 4716449559948 7074674339922 14149348679844