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131144204040 = 23359191189193
BaseRepresentation
bin111101000100011001…
…1011011111100001000
3110112111122221211111020
41322020303123330020
54122040404012130
6140125151232440
712321606225123
oct1721063337410
9415448854436
10131144204040
1150688536603
12214bbb18720
13c49cc61745
1464c14333ba
15362852be10
hex1e88cdbf08

131144204040 has 64 divisors (see below), whose sum is σ = 393861052800. Its totient is φ = 34933704192.

The previous prime is 131144204027. The next prime is 131144204071. The reversal of 131144204040 is 40402441131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131144204040.

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 15 ways as a sum of consecutive naturals, for example, 484317 + ... + 704876.

It is an arithmetic number, because the mean of its divisors is an integer number (6154078950).

Almost surely, 2131144204040 is an apocalyptic number.

131144204040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131144204040 is an abundant number, since it is smaller than the sum of its proper divisors (262716848760).

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

131144204040 is a wasteful number, since it uses less digits than its factorization.

131144204040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190126 (or 1190122 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 131144204040 its reverse (40402441131), we get a palindrome (171546645171).

The spelling of 131144204040 in words is "one hundred thirty-one billion, one hundred forty-four million, two hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 919 1838 2757 3676 4595 5514 7352 9190 11028 13785 18380 22056 27570 36760 55140 110280 1189193 2378386 3567579 4756772 5945965 7135158 9513544 11891930 14270316 17837895 23783860 28540632 35675790 47567720 71351580 142703160 1092868367 2185736734 3278605101 4371473468 5464341835 6557210202 8742946936 10928683670 13114420404 16393025505 21857367340 26228840808 32786051010 43714734680 65572102020 131144204040