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131340504040 = 23515720914093
BaseRepresentation
bin111101001010010000…
…0010000101111101000
3110120000100022220110121
41322110200100233220
54122441132112130
6140200442453024
712326511602254
oct1722440205750
9416010286417
10131340504040
1150779321709
1221555804174
13c5018218a5
1464dd531264
15363a8a4d7a
hex1e94810be8

131340504040 has 32 divisors (see below), whose sum is σ = 297398416680. Its totient is φ = 52201573632.

The previous prime is 131340503993. The next prime is 131340504047. The reversal of 131340504040 is 40405043131.

It can be written as a sum of positive squares in 4 ways, for example, as 126811483236 + 4529020804 = 356106^2 + 67298^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131340503996 and 131340504014.

It is not an unprimeable number, because it can be changed into a prime (131340504047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10450767 + ... + 10463326.

Almost surely, 2131340504040 is an apocalyptic number.

131340504040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131340504040 is an abundant number, since it is smaller than the sum of its proper divisors (166057912640).

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

131340504040 is a wasteful number, since it uses less digits than its factorization.

131340504040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20914261 (or 20914257 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 131340504040 its reverse (40405043131), we get a palindrome (171745547171).

The spelling of 131340504040 in words is "one hundred thirty-one billion, three hundred forty million, five hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 157 314 628 785 1256 1570 3140 6280 20914093 41828186 83656372 104570465 167312744 209140930 418281860 836563720 3283512601 6567025202 13134050404 16417563005 26268100808 32835126010 65670252020 131340504040