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13142013134404 = 22711434721112753
BaseRepresentation
bin1011111100111101110100…
…0001100100011001000100
31201112100211111021020021011
42333033131001210121010
53210304320330300104
643541205114532004
72524323223335250
oct277173501443104
951470744236234
1013142013134404
114207550891580
121583015737004
13744395642bab
14336110b6b260
1517bcc1eb2904
hexbf3dd064644

13142013134404 has 96 divisors (see below), whose sum is σ = 29964571693056. Its totient is φ = 4894780423680.

The previous prime is 13142013134377. The next prime is 13142013134417. The reversal of 13142013134404 is 40443131024131.

13142013134404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9933909 + ... + 11178844.

It is an arithmetic number, because the mean of its divisors is an integer number (312130955136).

Almost surely, 213142013134404 is an apocalyptic number.

13142013134404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13142013134404 is an abundant number, since it is smaller than the sum of its proper divisors (16822558558652).

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

13142013134404 is a wasteful number, since it uses less digits than its factorization.

13142013134404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21112865 (or 21112863 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 13142013134404 its reverse (40443131024131), we get a palindrome (53585144158535).

The spelling of 13142013134404 in words is "thirteen trillion, one hundred forty-two billion, thirteen million, one hundred thirty-four thousand, four hundred four".

Divisors: 1 2 4 7 11 14 22 28 43 44 47 77 86 94 154 172 188 301 308 329 473 517 602 658 946 1034 1204 1316 1892 2021 2068 3311 3619 4042 6622 7238 8084 13244 14147 14476 22231 28294 44462 56588 88924 155617 311234 622468 21112753 42225506 84451012 147789271 232240283 295578542 464480566 591157084 907848379 928961132 992299391 1625681981 1815696758 1984598782 3251363962 3631393516 3969197564 6354938653 6502727924 6946095737 9986332169 10915293301 12709877306 13892191474 19972664338 21830586602 25419754612 27784382948 39945328676 42668873813 43661173204 69904325183 76407053107 85337747626 139808650366 152814106214 170675495252 279617300732 298682116691 305628212428 469357611943 597364233382 938715223886 1194728466764 1877430447772 3285503283601 6571006567202 13142013134404