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13140311304132 = 22325961101419463
BaseRepresentation
bin1011111100110111011110…
…0101100110011111000100
31201112012102212222022000100
42333031313211212133010
53210242324143213012
643540324202444100
72524233110121045
oct277156745463704
951465385868010
1013140311304132
114206858189281
12158281b803630
13744183ba552c
14335dccb2a8cc
1517bc2289b8dc
hexbf3779667c4

13140311304132 has 72 divisors (see below), whose sum is σ = 34332516953280. Its totient is φ = 4235276733120.

The previous prime is 13140311303993. The next prime is 13140311304137. The reversal of 13140311304132 is 23140311304131.

13140311304132 is a `hidden beast` number, since 1 + 3 + 1 + 40 + 311 + 304 + 1 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13140311304096 and 13140311304105.

It is not an unprimeable number, because it can be changed into a prime (13140311304137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50580168 + ... + 50839295.

It is an arithmetic number, because the mean of its divisors is an integer number (476840513240).

Almost surely, 213140311304132 is an apocalyptic number.

13140311304132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13140311304132 is an abundant number, since it is smaller than the sum of its proper divisors (21192205649148).

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

13140311304132 is a wasteful number, since it uses less digits than its factorization.

13140311304132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101419593 (or 101419588 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13140311304132 its reverse (23140311304131), we get a palindrome (36280622608263).

Subtracting 13140311304132 from its reverse (23140311304131), we obtain a palindrome (9999999999999).

The spelling of 13140311304132 in words is "thirteen trillion, one hundred forty billion, three hundred eleven million, three hundred four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 59 61 118 122 177 183 236 244 354 366 531 549 708 732 1062 1098 2124 2196 3599 7198 10797 14396 21594 32391 43188 64782 129564 101419463 202838926 304258389 405677852 608516778 912775167 1217033556 1825550334 3651100668 5983748317 6186587243 11967496634 12373174486 17951244951 18559761729 23934993268 24746348972 35902489902 37119523458 53853734853 55679285187 71804979804 74239046916 107707469706 111358570374 215414939412 222717140748 365008647337 730017294674 1095025942011 1460034589348 2190051884022 3285077826033 4380103768044 6570155652066 13140311304132