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131402404580 = 22537612910997
BaseRepresentation
bin111101001100000110…
…0011001001011100100
3110120011122210210001012
41322120030121023210
54123103003421310
6140210533321352
712331163003306
oct1723014311344
9416148723035
10131402404580
1150800260487
1221572496258
13c5115b5925
146507845976
153641030c05
hex1e983192e4

131402404580 has 48 divisors (see below), whose sum is σ = 288049074096. Its totient is φ = 50302010880.

The previous prime is 131402404559. The next prime is 131402404597. The reversal of 131402404580 is 85404204131.

It can be written as a sum of positive squares in 8 ways, for example, as 154157056 + 131248247524 = 12416^2 + 362282^2 .

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 15 ways as a sum of consecutive naturals, for example, 1410359 + ... + 1500638.

It is an arithmetic number, because the mean of its divisors is an integer number (6001022377).

Almost surely, 2131402404580 is an apocalyptic number.

131402404580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131402404580 is an abundant number, since it is smaller than the sum of its proper divisors (156646669516).

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

131402404580 is a wasteful number, since it uses less digits than its factorization.

131402404580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911104 (or 2911102 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The spelling of 131402404580 in words is "one hundred thirty-one billion, four hundred two million, four hundred four thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 37 61 74 122 148 185 244 305 370 610 740 1220 2257 4514 9028 11285 22570 45140 2910997 5821994 11643988 14554985 29109970 58219940 107706889 177570817 215413778 355141634 430827556 538534445 710283268 887854085 1077068890 1775708170 2154137780 3551416340 6570120229 13140240458 26280480916 32850601145 65701202290 131402404580