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130641146481042 = 23267161036727069
BaseRepresentation
bin11101101101000101000011…
…001000010000100110010010
3122010120011122010020011002100
4131231011003020100212102
5114110411031444343132
61141503414132101230
736342340252653561
oct3555050310204622
9563504563204070
10130641146481042
1138698665420a5a
121279b167764816
1357b853a96b3a2
1424390cadabbd8
1510184218b637c
hex76d143210992

130641146481042 has 48 divisors (see below), whose sum is σ = 287298413962560. Its totient is φ = 42894422578656.

The previous prime is 130641146481007. The next prime is 130641146481071. The reversal of 130641146481042 is 240184641146031.

130641146481042 is a `hidden beast` number, since 1 + 3 + 0 + 64 + 11 + 464 + 81 + 0 + 42 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16056684 + ... + 22783752.

It is an arithmetic number, because the mean of its divisors is an integer number (5985383624220).

Almost surely, 2130641146481042 is an apocalyptic number.

130641146481042 is an abundant number, since it is smaller than the sum of its proper divisors (156657267481518).

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

130641146481042 is a wasteful number, since it uses less digits than its factorization.

130641146481042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6743247 (or 6743244 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 130641146481042 in words is "one hundred thirty trillion, six hundred forty-one billion, one hundred forty-six million, four hundred eighty-one thousand, forty-two".

Divisors: 1 2 3 6 9 18 67 134 201 402 603 1206 16103 32206 48309 96618 144927 289854 1078901 2157802 3236703 6473406 6727069 9710109 13454138 19420218 20181207 40362414 60543621 121087242 450713623 901427246 1352140869 2704281738 4056422607 8112845214 108325992107 216651984214 324977976321 649955952642 974933928963 1949867857926 7257841471169 14515682942338 21773524413507 43547048827014 65320573240521 130641146481042