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131241314440 = 23517193001933
BaseRepresentation
bin111101000111010010…
…1111000100010001000
3110112202102200112220201
41322032211320202020
54122240234030230
6140142540501544
712324165523615
oct1721645704210
9415672615821
10131241314440
1150728334035
122152854a8b4
13c4b7102c12
1464d02b150c
153631d105ca
hex1e8e978888

131241314440 has 32 divisors (see below), whose sum is σ = 312663133080. Its totient is φ = 49408494592.

The previous prime is 131241314437. The next prime is 131241314447. The reversal of 131241314440 is 44413142131.

It can be written as a sum of positive squares in 4 ways, for example, as 77494310884 + 53747003556 = 278378^2 + 231834^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131241314399 and 131241314408.

It is not an unprimeable number, because it can be changed into a prime (131241314447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96500287 + ... + 96501646.

Almost surely, 2131241314440 is an apocalyptic number.

131241314440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131241314440 is an abundant number, since it is smaller than the sum of its proper divisors (181421818640).

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

131241314440 is a wasteful number, since it uses less digits than its factorization.

131241314440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193001961 (or 193001957 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 131241314440 its reverse (44413142131), we get a palindrome (175654456571).

The spelling of 131241314440 in words is "one hundred thirty-one billion, two hundred forty-one million, three hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 193001933 386003866 772007732 965009665 1544015464 1930019330 3281032861 3860038660 6562065722 7720077320 13124131444 16405164305 26248262888 32810328610 65620657220 131241314440