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149261040432 = 243273119724247
BaseRepresentation
bin1000101100000010100…
…1101011101100110000
3112021021020222110220200
42023000221223230300
54421141311243212
6152323010035200
713532553624120
oct2130051535460
9467236873820
10149261040432
1158334a69969
1224b17278b00
13110c944bc8a
14731d594c80
153d38cb36dc
hex22c0a6bb30

149261040432 has 240 divisors, whose sum is σ = 495320297472. Its totient is φ = 41059146240.

The previous prime is 149261040359. The next prime is 149261040443. The reversal of 149261040432 is 234040162941.

149261040432 is a `hidden beast` number, since 1 + 4 + 9 + 2 + 610 + 4 + 0 + 4 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6143733 + ... + 6167979.

Almost surely, 2149261040432 is an apocalyptic number.

149261040432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149261040432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247660148736).

149261040432 is an abundant number, since it is smaller than the sum of its proper divisors (346059257040).

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

149261040432 is a wasteful number, since it uses less digits than its factorization.

149261040432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24496 (or 24487 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 149261040432 in words is "one hundred forty-nine billion, two hundred sixty-one million, forty thousand, four hundred thirty-two".