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131140579760 = 2453674466641
BaseRepresentation
bin111101000100010010…
…1100111000110110000
3110112111102010200220122
41322020211213012300
54122033442023020
6140124541425412
712321533351531
oct1721045470660
9415442120818
10131140579760
1150686490633
12214ba86b268
13c49c292bb8
1464c0b6c688
153628063125
hex1e889671b0

131140579760 has 40 divisors (see below), whose sum is σ = 305732711616. Its totient is φ = 52313287680.

The previous prime is 131140579697. The next prime is 131140579777. The reversal of 131140579760 is 67975041131.

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

It is an unprimeable number.

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, 2203961 + ... + 2262680.

Almost surely, 2131140579760 is an apocalyptic number.

131140579760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131140579760 is an abundant number, since it is smaller than the sum of its proper divisors (174592131856).

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

131140579760 is a wasteful number, since it uses less digits than its factorization.

131140579760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4467021 (or 4467015 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 44.

The spelling of 131140579760 in words is "one hundred thirty-one billion, one hundred forty million, five hundred seventy-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 367 734 1468 1835 2936 3670 5872 7340 14680 29360 4466641 8933282 17866564 22333205 35733128 44666410 71466256 89332820 178665640 357331280 1639257247 3278514494 6557028988 8196286235 13114057976 16392572470 26228115952 32785144940 65570289880 131140579760