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131441410430 = 25111923479539
BaseRepresentation
bin111101001101010000…
…1001100000101111110
3110120021101012111000022
41322122201030011332
54123143000113210
6140214445332142
712332145361061
oct1723241140576
9416241174008
10131441410430
1150820282120
1221583567052
13c5196c1b05
14650caba8d8
153644688155
hex1e9a84c17e

131441410430 has 96 divisors (see below), whose sum is σ = 273216136320. Its totient is φ = 45146024640.

The previous prime is 131441410427. The next prime is 131441410453. The reversal of 131441410430 is 34014144131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 131441410430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13774601 + ... + 13784139.

It is an arithmetic number, because the mean of its divisors is an integer number (2846001420).

Almost surely, 2131441410430 is an apocalyptic number.

131441410430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131441410430 is an abundant number, since it is smaller than the sum of its proper divisors (141774725890).

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

131441410430 is a wasteful number, since it uses less digits than its factorization.

131441410430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9942 (or 9923 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 131441410430 its reverse (34014144131), we get a palindrome (165455554561).

The spelling of 131441410430 in words is "one hundred thirty-one billion, four hundred forty-one million, four hundred ten thousand, four hundred thirty".

Divisors: 1 2 5 10 11 19 22 38 55 95 110 190 209 347 361 418 694 722 1045 1735 1805 2090 3470 3610 3817 3971 6593 7634 7942 9539 13186 19078 19085 19855 32965 38170 39710 47695 65930 72523 95390 104929 125267 145046 181241 209858 250534 362482 362615 524645 626335 725230 906205 1049290 1252670 1377937 1812410 1993651 2755874 3310033 3443579 3987302 6620066 6887158 6889685 9968255 13779370 16550165 17217895 19936510 33100330 34435790 36410363 37879369 62890627 72820726 75758738 125781254 182051815 189396845 314453135 364103630 378793690 628906270 691796897 1194921913 1383593794 2389843826 3458984485 5974609565 6917968970 11949219130 13144141043 26288282086 65720705215 131441410430