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132214466422600 = 2352661072332113
BaseRepresentation
bin11110000011111110010100…
…010011100010011101001000
3122100010120122111021020022221
4132003332110103202131020
5114312200211401010400
61145110253134423424
736564115505550652
oct3603762423423510
9570116574236287
10132214466422600
1139144927520671
12129b4071361b74
1358a0a032742a3
14249130013b6d2
151044305a62c1a
hex783f944e2748

132214466422600 has 24 divisors (see below), whose sum is σ = 307398634433010. Its totient is φ = 52885786568960.

The previous prime is 132214466422553. The next prime is 132214466422601. The reversal of 132214466422600 is 6224664412231.

It can be written as a sum of positive squares in 3 ways, for example, as 97847272001284 + 34367194421316 = 9891778^2 + 5862354^2 .

It is a super-4 number, since 4×1322144664226004 (a number of 58 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (132214466422601) 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 5 ways as a sum of consecutive naturals, for example, 330536165857 + ... + 330536166256.

Almost surely, 2132214466422600 is an apocalyptic number.

132214466422600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132214466422600 is an abundant number, since it is smaller than the sum of its proper divisors (175184168010410).

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

132214466422600 is a wasteful number, since it uses less digits than its factorization.

132214466422600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661072332129 (or 661072332120 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 43.

The spelling of 132214466422600 in words is "one hundred thirty-two trillion, two hundred fourteen billion, four hundred sixty-six million, four hundred twenty-two thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 661072332113 1322144664226 2644289328452 3305361660565 5288578656904 6610723321130 13221446642260 16526808302825 26442893284520 33053616605650 66107233211300 132214466422600