Search a number
-
+
108931407354441 = 34721656672
BaseRepresentation
bin11000110001001010010001…
…110101110001101001001001
3112021200202000001221221010000
4120301022101311301221021
5103234213010240320231
61023402221522513213
731642014552064200
oct3061122165615111
9467622001857100
10108931407354441
1131788606685481
1210273777b05809
1348a22593133a9
141cc8445b8a237
15c8d8511d46e6
hex631291d71a49

108931407354441 has 45 divisors (see below), whose sum is σ = 189293134681629. Its totient is φ = 62246142755496.

The previous prime is 108931407354379. The next prime is 108931407354491. The reversal of 108931407354441 is 144453704139801.

The square root of 108931407354441 is 10437021.

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

108931407354441 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 3 + 140 + 7 + 3 + 54 + 441 = 666.

It is not a de Polignac number, because 108931407354441 - 235 = 108897047616073 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (108931407354491) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 657449490 + ... + 657615156.

Almost surely, 2108931407354441 is an apocalyptic number.

108931407354441 is the 10437021-st square number.

108931407354441 is the 5218511-st centered octagonal number.

It is an amenable number.

108931407354441 is a deficient number, since it is larger than the sum of its proper divisors (80361727327188).

108931407354441 is an frugal number, since it uses more digits than its factorization.

108931407354441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331360 (or 165677 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 108931407354441 in words is "one hundred eight trillion, nine hundred thirty-one billion, four hundred seven million, three hundred fifty-four thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 165667 497001 1159669 1491003 3479007 4473009 8117683 10437021 13419027 24353049 31311063 73059147 93933189 219177441 657532323 27445554889 82336664667 192118884223 247009994001 576356652669 741029982003 1344832189561 1729069958007 2223089946009 4034496568683 5187209874021 12103489706049 15561629622063 36310469118147 108931407354441