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131332450352140 = 225191372192518687
BaseRepresentation
bin11101110111001000111000…
…000011001111110000001100
3122020000021000021102102121001
4131313020320003033300030
5114203222324242232030
61143153143401150044
736443312356630612
oct3567107003176014
9566007007372531
10131332450352140
1138934863437264
1212891137a8b324
13583879b5acb0b
14246074b39b6b2
15102b3d22b7cca
hex7772380cfc0c

131332450352140 has 48 divisors (see below), whose sum is σ = 290316068582400. Its totient is φ = 49767703998912.

The previous prime is 131332450352101. The next prime is 131332450352149. The reversal of 131332450352140 is 41253054233131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 131332450352140.

It is not an unprimeable number, because it can be changed into a prime (131332450352149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50883877 + ... + 53402563.

It is an arithmetic number, because the mean of its divisors is an integer number (6048251428800).

Almost surely, 2131332450352140 is an apocalyptic number.

131332450352140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131332450352140 is an abundant number, since it is smaller than the sum of its proper divisors (158983618230260).

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

131332450352140 is a wasteful number, since it uses less digits than its factorization.

131332450352140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2655934 (or 2655932 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 131332450352140 in words is "one hundred thirty-one trillion, three hundred thirty-two billion, four hundred fifty million, three hundred fifty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 137219 274438 548876 686095 1372190 2518687 2607161 2744380 5037374 5214322 10074748 10428644 12593435 13035805 25186870 26071610 47855053 50373740 52143220 95710106 191420212 239275265 478550530 957101060 345611711453 691223422906 1382446845812 1728058557265 3456117114530 6566622517607 6912234229060 13133245035214 26266490070428 32833112588035 65666225176070 131332450352140