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141432047568 = 243371812331109
BaseRepresentation
bin1000001110111000000…
…0011100011111010000
3111112001122100102201000
42003232000130133100
54304123101010233
6144550055342000
713134550366050
oct2035600343720
9445048312630
10141432047568
1154a87781729
12234b1381900
131044c481716
146bb98c3560
153a2b7e6d13
hex20ee01c7d0

141432047568 has 320 divisors, whose sum is σ = 468944985600. Its totient is φ = 39977349120.

The previous prime is 141432047551. The next prime is 141432047569. The reversal of 141432047568 is 865740234141.

141432047568 is a `hidden beast` number, since 1 + 4 + 1 + 43 + 2 + 0 + 47 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141432047569) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127530598 + ... + 127531706.

It is an arithmetic number, because the mean of its divisors is an integer number (1465453080).

Almost surely, 2141432047568 is an apocalyptic number.

141432047568 is a gapful number since it is divisible by the number (18) 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 141432047568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234472492800).

141432047568 is an abundant number, since it is smaller than the sum of its proper divisors (327512938032).

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

141432047568 is a wasteful number, since it uses less digits than its factorization.

141432047568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 141432047568 in words is "one hundred forty-one billion, four hundred thirty-two million, forty-seven thousand, five hundred sixty-eight".