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131311143144 = 2334510739679
BaseRepresentation
bin111101001001011000…
…0010000100011101000
3110112221022002012220000
41322102300100203220
54122411123040034
6140153513303000
712326004205056
oct1722260204350
9415838065800
10131311143144
1150763798405
1221547a04a60
13c4c871178c
1464d968b1d6
153638005599
hex1e92c108e8

131311143144 has 80 divisors (see below), whose sum is σ = 367874073600. Its totient is φ = 43760707488.

The previous prime is 131311143127. The next prime is 131311143179. The reversal of 131311143144 is 441341113131.

131311143144 is a `hidden beast` number, since 1 + 31 + 311 + 1 + 4 + 314 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3289497 + ... + 3329175.

It is an arithmetic number, because the mean of its divisors is an integer number (4598425920).

Almost surely, 2131311143144 is an apocalyptic number.

It is an amenable number.

131311143144 is an abundant number, since it is smaller than the sum of its proper divisors (236562930456).

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

131311143144 is a wasteful number, since it uses less digits than its factorization.

131311143144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44804 (or 44791 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 131311143144 its reverse (441341113131), we get a palindrome (572652256275).

The spelling of 131311143144 in words is "one hundred thirty-one billion, three hundred eleven million, one hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 5107 10214 15321 20428 30642 39679 40856 45963 61284 79358 91926 119037 122568 137889 158716 183852 238074 275778 317432 357111 367704 413667 476148 551556 714222 827334 952296 1071333 1103112 1428444 1654668 2142666 2856888 3213999 3309336 4285332 6427998 8570664 12855996 25711992 202640653 405281306 607921959 810562612 1215843918 1621125224 1823765877 2431687836 3647531754 4863375672 5471297631 7295063508 10942595262 14590127016 16413892893 21885190524 32827785786 43770381048 65655571572 131311143144