Search a number
-
+
132138021544716 = 22311173712869781
BaseRepresentation
bin11110000010110111000111…
…110101011110001100001100
3122022212021022220202002001110
4132002313013311132030030
5114304422132003412331
61145011211415412020
736555441233035605
oct3602670765361414
9568767286662043
10132138021544716
1139115469370440
12129a1298084010
13589673c838735
14248b72b5ccdac
15104232e73d946
hex782dc7d5e30c

132138021544716 has 192 divisors, whose sum is σ = 362402499271680. Its totient is φ = 37155615616000.

The previous prime is 132138021544609. The next prime is 132138021544813. The reversal of 132138021544716 is 617445120831231.

It is a happy 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, 44609746 + ... + 47479526.

It is an arithmetic number, because the mean of its divisors is an integer number (1887513017040).

Almost surely, 2132138021544716 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 132138021544716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181201249635840).

132138021544716 is an abundant number, since it is smaller than the sum of its proper divisors (230264477726964).

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

132138021544716 is a wasteful number, since it uses less digits than its factorization.

132138021544716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869921 (or 2869885 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 132138021544716 in words is "one hundred thirty-two trillion, one hundred thirty-eight billion, twenty-one million, five hundred forty-four thousand, seven hundred sixteen".