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132302665020240 = 2432511131967631101
BaseRepresentation
bin11110000101010000011101…
…010110011111001101010000
3122100110000022012111012222100
4132011100131112133031100
5114320121324221121430
61145215001044440400
736603360242346411
oct3605203526371520
9570400265435870
10132302665020240
113917927730a480
1212a091869a9100
1358a911ab050c0
1424956a9ab9808
151046768baa960
hex78541d59f350

132302665020240 has 480 divisors, whose sum is σ = 549467535576960. Its totient is φ = 28047969792000.

The previous prime is 132302665020157. The next prime is 132302665020263. The reversal of 132302665020240 is 42020566203231.

132302665020240 is a `hidden beast` number, since 1 + 3 + 2 + 302 + 66 + 50 + 2 + 0 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132302665020195 and 132302665020204.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 31859311 + ... + 35771790.

It is an arithmetic number, because the mean of its divisors is an integer number (1144724032452).

Almost surely, 2132302665020240 is an apocalyptic number.

132302665020240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132302665020240 is an abundant number, since it is smaller than the sum of its proper divisors (417164870556720).

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

132302665020240 is a wasteful number, since it uses less digits than its factorization.

132302665020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67631163 (or 67631154 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 132302665020240 in words is "one hundred thirty-two trillion, three hundred two billion, six hundred sixty-five million, twenty thousand, two hundred forty".