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14906440704996 = 2232292221892
BaseRepresentation
bin1101100011101010110100…
…0110100110001111100100
31221210001010111000202021100
43120322231012212033210
53423211342310024441
651411531353120100
73065645332253511
oct330725506461744
957701114022240
1014906440704996
114827871193475
121808b749b9030
13841895b9caa9
14397692dc2308
151acb3dab6cb6
hexd8ead1a63e4

14906440704996 has 81 divisors (see below), whose sum is σ = 39026048559771. Its totient is φ = 4797258959808.

The previous prime is 14906440704901. The next prime is 14906440705027. The reversal of 14906440704996 is 69940704460941.

The square root of 14906440704996 is 3860886.

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

14906440704996 is a `hidden beast` number, since 1 + 49 + 0 + 64 + 40 + 7 + 0 + 499 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 565374663396 + 14341066041600 = 751914^2 + 3786960^2 .

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, 671783070 + ... + 671805258.

Almost surely, 214906440704996 is an apocalyptic number.

14906440704996 is the 3860886-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14906440704996

14906440704996 is an abundant number, since it is smaller than the sum of its proper divisors (24119607854775).

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

14906440704996 is an frugal number, since it uses more digits than its factorization.

14906440704996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44446 (or 22223 counting only the distinct ones).

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

The spelling of 14906440704996 in words is "fourteen trillion, nine hundred six billion, four hundred forty million, seven hundred four thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 841 1044 1682 2523 3364 5046 7569 10092 15138 22189 30276 44378 66567 88756 133134 199701 266268 399402 643481 798804 1286962 1930443 2573924 3860886 5791329 7721772 11582658 18660949 23165316 37321898 55982847 74643796 111965694 167948541 223931388 335897082 492351721 671794164 984703442 1477055163 1969406884 2954110326 4431165489 5908220652 8862330978 14278199909 17724661956 28556399818 42834599727 57112799636 85669199454 128503799181 171338398908 257007598362 414067797361 514015196724 828135594722 1242203392083 1656271189444 2484406784166 3726610176249 4968813568332 7453220352498 14906440704996