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131175613040 = 24511047148429
BaseRepresentation
bin111101000101010101…
…1010000001001110000
3110112120212001120112112
41322022223100021300
54122121424104130
6140132232344452
712322440212423
oct1721253201160
9415525046475
10131175613040
11506a423965a
122150a545128
13c4a660ab54
1464c568b9ba
15362b183495
hex1e8aad0270

131175613040 has 40 divisors (see below), whose sum is σ = 305012963040. Its totient is φ = 52465142016.

The previous prime is 131175613039. The next prime is 131175613073. The reversal of 131175613040 is 40316571131.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 131175612988 and 131175613006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 809546 + ... + 957974.

It is an arithmetic number, because the mean of its divisors is an integer number (7625324076).

Almost surely, 2131175613040 is an apocalyptic number.

131175613040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131175613040 is an abundant number, since it is smaller than the sum of its proper divisors (173837350000).

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

131175613040 is a wasteful number, since it uses less digits than its factorization.

131175613040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159489 (or 159483 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The spelling of 131175613040 in words is "one hundred thirty-one billion, one hundred seventy-five million, six hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 11047 22094 44188 55235 88376 110470 148429 176752 220940 296858 441880 593716 742145 883760 1187432 1484290 2374864 2968580 5937160 11874320 1639695163 3279390326 6558780652 8198475815 13117561304 16396951630 26235122608 32793903260 65587806520 131175613040