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13240400141304 = 23327234711193283
BaseRepresentation
bin1100000010101100010101…
…0110001101101111111000
31201212202210020210000221200
43000223011112031233320
53213412314414010204
644054320021534200
72534405313160050
oct300530526155770
951782706700850
1013240400141304
114245249781026
12159a0b3274360
13750744c1a83b
1433aba58b4560
1517e62e7d3539
hexc0ac558dbf8

13240400141304 has 96 divisors (see below), whose sum is σ = 40999656097920. Its totient is φ = 3781359298368.

The previous prime is 13240400141291. The next prime is 13240400141317. The reversal of 13240400141304 is 40314100404231.

13240400141304 is a `hidden beast` number, since 1 + 3 + 240 + 4 + 0 + 0 + 1 + 413 + 0 + 4 = 666.

13240400141304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13240400141291) and next prime (13240400141317).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4413754 + ... + 6779529.

It is an arithmetic number, because the mean of its divisors is an integer number (427079751020).

Almost surely, 213240400141304 is an apocalyptic number.

13240400141304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13240400141304 is an abundant number, since it is smaller than the sum of its proper divisors (27759255956616).

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

13240400141304 is a wasteful number, since it uses less digits than its factorization.

13240400141304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11195649 (or 11195642 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13240400141304 its reverse (40314100404231), we get a palindrome (53554500545535).

The spelling of 13240400141304 in words is "thirteen trillion, two hundred forty billion, four hundred million, one hundred forty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 2347 4694 7041 9388 14082 16429 18776 21123 28164 32858 42246 49287 56328 65716 84492 98574 131432 147861 168984 197148 295722 394296 591444 1182888 11193283 22386566 33579849 44773132 67159698 78352981 89546264 100739547 134319396 156705962 201479094 235058943 268638792 313411924 402958188 470117886 626823848 705176829 805916376 940235772 1410353658 1880471544 2820707316 5641414632 26270635201 52541270402 78811905603 105082540804 157623811206 183894446407 210165081608 236435716809 315247622412 367788892814 472871433618 551683339221 630495244824 735577785628 945742867236 1103366678442 1471155571256 1655050017663 1891485734472 2206733356884 3310100035326 4413466713768 6620200070652 13240400141304