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131552117040 = 2435548133821
BaseRepresentation
bin111101010000100011…
…1100000000100110000
3110120120002111221221010
41322201013200010300
54123404320221130
6140233442230520
712334661354631
oct1724107400460
9416502457833
10131552117040
1150877816693
12215b4655440
13c536613996
14651d697888
15364e2550b0
hex1ea11e0130

131552117040 has 40 divisors (see below), whose sum is σ = 407811563568. Its totient is φ = 35080564480.

The previous prime is 131552117017. The next prime is 131552117057. The reversal of 131552117040 is 40711255131.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 131552116989 and 131552117007.

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, 274066671 + ... + 274067150.

Almost surely, 2131552117040 is an apocalyptic number.

131552117040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131552117040 is an abundant number, since it is smaller than the sum of its proper divisors (276259446528).

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

131552117040 is a wasteful number, since it uses less digits than its factorization.

131552117040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548133837 (or 548133831 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

The spelling of 131552117040 in words is "one hundred thirty-one billion, five hundred fifty-two million, one hundred seventeen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 548133821 1096267642 1644401463 2192535284 2740669105 3288802926 4385070568 5481338210 6577605852 8222007315 8770141136 10962676420 13155211704 16444014630 21925352840 26310423408 32888029260 43850705680 65776058520 131552117040