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132214664032040 = 23510730891276643
BaseRepresentation
bin11110000011111110100000…
…000101010110111100101000
3122100010121011021002211112002
4132003332200011112330220
5114312201112443011130
61145110324514110132
736564123425320532
oct3603764005267450
9570117137084462
10132214664032040
1139144a19020557
12129b410757b348
1358a0a351a2455
14249131c49a852
151044318098b45
hex783fa0156f28

132214664032040 has 32 divisors (see below), whose sum is σ = 300263208979680. Its totient is φ = 52391605184832.

The previous prime is 132214664032039. The next prime is 132214664032049. The reversal of 132214664032040 is 40230466412231.

It is a junction number, because it is equal to n+sod(n) for n = 132214664031985 and 132214664032003.

It is not an unprimeable number, because it can be changed into a prime (132214664032049) 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, 15445634042 + ... + 15445642601.

It is an arithmetic number, because the mean of its divisors is an integer number (9383225280615).

Almost surely, 2132214664032040 is an apocalyptic number.

132214664032040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132214664032040 is an abundant number, since it is smaller than the sum of its proper divisors (168048544947640).

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

132214664032040 is a wasteful number, since it uses less digits than its factorization.

132214664032040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30891276761 (or 30891276757 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The spelling of 132214664032040 in words is "one hundred thirty-two trillion, two hundred fourteen billion, six hundred sixty-four million, thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 107 214 428 535 856 1070 2140 4280 30891276643 61782553286 123565106572 154456383215 247130213144 308912766430 617825532860 1235651065720 3305366600801 6610733201602 13221466403204 16526833004005 26442932806408 33053666008010 66107332016020 132214664032040