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132426602560144 = 24191279934034989
BaseRepresentation
bin11110000111000011111000…
…100110101011101010010000
3122100212212012121211120210001
4132013003320212223222100
5114324134140223411034
61145351535200215344
736615335443144114
oct3607037046535220
9570785177746701
10132426602560144
1139216896877602
1212a291b530a554
1358b7a0c9b2229
14249b6a5d57744
151049abe699a14
hex7870f89aba90

132426602560144 has 40 divisors (see below), whose sum is σ = 270101680640000. Its totient is φ = 62723487805056.

The previous prime is 132426602560141. The next prime is 132426602560157. The reversal of 132426602560144 is 441065206624231.

It is a junction number, because it is equal to n+sod(n) for n = 132426602560094 and 132426602560103.

It is not an unprimeable number, because it can be changed into a prime (132426602560141) 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 7 ways as a sum of consecutive naturals, for example, 13126599 + ... + 20908390.

It is an arithmetic number, because the mean of its divisors is an integer number (6752542016000).

Almost surely, 2132426602560144 is an apocalyptic number.

It is an amenable number.

132426602560144 is an abundant number, since it is smaller than the sum of its proper divisors (137675078079856).

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

132426602560144 is a wasteful number, since it uses less digits than its factorization.

132426602560144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34047815 (or 34047809 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 46.

The spelling of 132426602560144 in words is "one hundred thirty-two trillion, four hundred twenty-six billion, six hundred two million, five hundred sixty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 12799 25598 51196 102392 204784 243181 486362 972724 1945448 3890896 34034989 68069978 136139956 272279912 544559824 646664791 1293329582 2586659164 5173318328 10346636656 435613824211 871227648422 1742455296844 3484910593688 6969821187376 8276662660009 16553325320018 33106650640036 66213301280072 132426602560144