Search a number
-
+
132214466461044 = 22311173111336714173
BaseRepresentation
bin11110000011111110010100…
…010011101011110101110100
3122100010120122111100012001210
4132003332110103223311310
5114312200211403223134
61145110253135321420
736564115506101022
oct3603762423536564
9570116574305053
10132214466461044
1139144927547540
12129b4071380270
1358a0a03288936
14249130014b712
151044305a6e2e9
hex783f944ebd74

132214466461044 has 192 divisors, whose sum is σ = 357540498911232. Its totient is φ = 37581513676800.

The previous prime is 132214466461019. The next prime is 132214466461081. The reversal of 132214466461044 is 440164664412231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 132214466460984 and 132214466461002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9328608342 + ... + 9328622514.

It is an arithmetic number, because the mean of its divisors is an integer number (1862190098496).

Almost surely, 2132214466461044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132214466461044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178770249455616).

132214466461044 is an abundant number, since it is smaller than the sum of its proper divisors (225326032450188).

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

132214466461044 is a wasteful number, since it uses less digits than its factorization.

132214466461044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27886 (or 27884 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 48.

The spelling of 132214466461044 in words is "one hundred thirty-two trillion, two hundred fourteen billion, four hundred sixty-six million, four hundred sixty-one thousand, forty-four".