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132214650460420 = 225113163190001797
BaseRepresentation
bin11110000011111110011111…
…010001100101100100000100
3122100010121010022120022202111
4132003332133101211210010
5114312201101004213140
61145110323311150404
736564123202054243
oct3603763721454404
9570117108508674
10132214650460420
1139144a113a0a40
12129b4102b15404
1358a0a3242ccc8
14249131a76695a
151044316cb77ea
hex783f9f465904

132214650460420 has 48 divisors (see below), whose sum is σ = 302987507191488. Its totient is φ = 48062854316160.

The previous prime is 132214650460397. The next prime is 132214650460427. The reversal of 132214650460420 is 24064056412231.

132214650460420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (132214650460427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94305039 + ... + 95696758.

It is an arithmetic number, because the mean of its divisors is an integer number (6312239733156).

Almost surely, 2132214650460420 is an apocalyptic number.

132214650460420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132214650460420 is an abundant number, since it is smaller than the sum of its proper divisors (170772856731068).

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

132214650460420 is a wasteful number, since it uses less digits than its factorization.

132214650460420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190004980 (or 190004978 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 132214650460420 in words is "one hundred thirty-two trillion, two hundred fourteen billion, six hundred fifty million, four hundred sixty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 3163 6326 12652 15815 31630 34793 63260 69586 139172 173965 347930 695860 190001797 380003594 760007188 950008985 1900017970 2090019767 3800035940 4180039534 8360079068 10450098835 20900197670 41800395340 600975683911 1201951367822 2403902735644 3004878419555 6009756839110 6610732523021 12019513678220 13221465046042 26442930092084 33053662615105 66107325230210 132214650460420