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45141125022 = 232729372331433
BaseRepresentation
bin101010000010100111…
…101110011110011110
311022111221222202012100
4222002213232132132
51214422112000042
632423150545530
73155432142330
oct520247563636
9138457882170
1045141125022
1118164a963a4
1288b98082a6
134345223586
1422832c7450
15129301824c
hexa829ee79e

45141125022 has 192 divisors, whose sum is σ = 119350558080. Its totient is φ = 12055744512.

The previous prime is 45141124999. The next prime is 45141125033. The reversal of 45141125022 is 22052114154.

It is a happy number.

45141125022 is a `hidden beast` number, since 4 + 5 + 141 + 12 + 502 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31500418 + ... + 31501850.

It is an arithmetic number, because the mean of its divisors is an integer number (621617490).

Almost surely, 245141125022 is an apocalyptic number.

45141125022 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 45141125022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59675279040).

45141125022 is an abundant number, since it is smaller than the sum of its proper divisors (74209433058).

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

45141125022 is a wasteful number, since it uses less digits than its factorization.

45141125022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 45141125022 its reverse (22052114154), we get a palindrome (67193239176).

The spelling of 45141125022 in words is "forty-five billion, one hundred forty-one million, one hundred twenty-five thousand, twenty-two".