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14537366041 = 1129721132
BaseRepresentation
bin11011000100111111…
…01001101000011001
31101112010121201012111
431202133221220121
5214233031203131
610402310112321
71023151400242
oct154237515031
941463551174
1014537366041
11618aa67300
12299864b6a1
1314a8a47953
149bc9d7cc9
155a13ccab1
hex3627e9a19

14537366041 has 27 divisors (see below), whose sum is σ = 16289664573. Its totient is φ = 12963793920.

The previous prime is 14537366033. The next prime is 14537366047. The reversal of 14537366041 is 14066373541.

The square root of 14537366041 is 120571.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6080724441 + 8456641600 = 77979^2 + 91960^2 .

It is not a de Polignac number, because 14537366041 - 23 = 14537366033 is a prime.

It is a super-2 number, since 2×145373660412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14537365985 and 14537366003.

It is not an unprimeable number, because it can be changed into a prime (14537366047) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 128649201 + ... + 128649313.

Almost surely, 214537366041 is an apocalyptic number.

14537366041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14537366041 is the 120571-st square number.

14537366041 is the 60286-th centered octagonal number.

It is an amenable number.

14537366041 is a deficient number, since it is larger than the sum of its proper divisors (1752298532).

14537366041 is an frugal number, since it uses more digits than its factorization.

14537366041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 14537366041 in words is "fourteen billion, five hundred thirty-seven million, three hundred sixty-six thousand, forty-one".

Divisors: 1 11 97 113 121 1067 1243 9409 10961 11737 12769 13673 103499 120571 140459 1063217 1138489 1238593 1326281 1545049 11695387 13624523 120143521 128649257 149869753 1321578731 14537366041