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13145023632524 = 2273142135971583
BaseRepresentation
bin1011111101001001000001…
…1101101101010010001100
31201112122121022001101022112
42333102100131231102030
53210332002022220044
643542423540203152
72524460640213560
oct277222035552214
951478538041275
1013145023632524
114208856172353
1215837159994b8
13744755261924
143363189076a0
1517bdeb42c09e
hexbf49076d48c

13145023632524 has 48 divisors (see below), whose sum is σ = 27202575138816. Its totient is φ = 5438903198400.

The previous prime is 13145023632523. The next prime is 13145023632527. The reversal of 13145023632524 is 42523632054131.

13145023632524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×131450236325243 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (13145023632523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17620364 + ... + 18351219.

It is an arithmetic number, because the mean of its divisors is an integer number (566720315392).

Almost surely, 213145023632524 is an apocalyptic number.

13145023632524 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13145023632524 is an abundant number, since it is smaller than the sum of its proper divisors (14057551506292).

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

13145023632524 is a wasteful number, since it uses less digits than its factorization.

13145023632524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35972046 (or 35972044 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 41.

Adding to 13145023632524 its reverse (42523632054131), we get a palindrome (55668655686655).

The spelling of 13145023632524 in words is "thirteen trillion, one hundred forty-five billion, twenty-three million, six hundred thirty-two thousand, five hundred twenty-four".

Divisors: 1 2 4 7 14 28 31 62 124 217 421 434 842 868 1684 2947 5894 11788 13051 26102 52204 91357 182714 365428 35971583 71943166 143886332 251801081 503602162 1007204324 1115119073 2230238146 4460476292 7805833511 15144036443 15611667022 30288072886 31223334044 60576145772 106008255101 212016510202 424033020404 469465129733 938930259466 1877860518932 3286255908131 6572511816262 13145023632524