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14335530045012 = 2232111717911896429
BaseRepresentation
bin1101000010011100000000…
…1011010000111001010100
31212202110111201220021111200
43100213000023100321110
53334333131142420022
650253352424232500
73006464540600121
oct320470013207124
955673451807450
1014335530045012
114627733a90650
1217363a400b730
137ccab0a4ac17
14377bb4253748
1519cd7793cbac
hexd09c02d0e54

14335530045012 has 144 divisors (see below), whose sum is σ = 42090521054400. Its totient is φ = 4065723233280.

The previous prime is 14335530044999. The next prime is 14335530045013. The reversal of 14335530045012 is 21054003553341.

14335530045012 is a `hidden beast` number, since 1 + 4 + 335 + 5 + 300 + 4 + 5 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14335530045013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4743187 + ... + 7153242.

It is an arithmetic number, because the mean of its divisors is an integer number (292295285100).

Almost surely, 214335530045012 is an apocalyptic number.

14335530045012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14335530045012 is an abundant number, since it is smaller than the sum of its proper divisors (27754991009388).

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

14335530045012 is a wasteful number, since it uses less digits than its factorization.

14335530045012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11896646 (or 11896641 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 14335530045012 its reverse (21054003553341), we get a palindrome (35389533598353).

The spelling of 14335530045012 in words is "fourteen trillion, three hundred thirty-five billion, five hundred thirty million, forty-five thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 179 187 198 204 306 358 374 396 537 561 612 716 748 1074 1122 1611 1683 1969 2148 2244 3043 3222 3366 3938 5907 6086 6444 6732 7876 9129 11814 12172 17721 18258 23628 27387 33473 35442 36516 54774 66946 70884 100419 109548 133892 200838 301257 401676 602514 1205028 11896429 23792858 35689287 47585716 71378574 107067861 130860719 142757148 202239293 214135722 261721438 392582157 404478586 428271444 523442876 606717879 785164314 808957172 1177746471 1213435758 1570328628 1820153637 2129460791 2224632223 2355492942 2426871516 3640307274 4258921582 4449264446 4710985884 6388382373 6673896669 7280614548 8517843164 8898528892 12776764746 13347793338 19165147119 20021690007 23424068701 25553529492 26695586676 36200833447 38330294238 40043380014 46848137402 70272206103 72401666894 76660588476 80086760028 93696274804 108602500341 140544412206 144803333788 210816618309 217205000682 281088824412 325807501023 398209167917 421633236618 434410001364 651615002046 796418335834 843266473236 1194627503751 1303230004092 1592836671668 2389255007502 3583882511253 4778510015004 7167765022506 14335530045012