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140338501632 = 21132719223131
BaseRepresentation
bin1000001010110011010…
…0111001100000000000
3111102020102122112200200
42002230310321200000
54244403124023012
6144245353045200
713065501403350
oct2025464714000
9442212575620
10140338501632
115457647545a
12232470b6800
1310306a50614
146b14584b60
1539b57d83dc
hex20acd39800

140338501632 has 864 divisors, whose sum is σ = 514040567040. Its totient is φ = 36057415680.

The previous prime is 140338501631. The next prime is 140338501661. The reversal of 140338501632 is 236105833041.

140338501632 is a `hidden beast` number, since 14 + 0 + 3 + 3 + 8 + 5 + 0 + 1 + 632 = 666.

140338501632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140338501631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1071286207 + ... + 1071286337.

It is an arithmetic number, because the mean of its divisors is an integer number (594954360).

Almost surely, 2140338501632 is an apocalyptic number.

140338501632 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 140338501632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257020283520).

140338501632 is an abundant number, since it is smaller than the sum of its proper divisors (373702065408).

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

140338501632 is a wasteful number, since it uses less digits than its factorization.

140338501632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 140338501632 in words is "one hundred forty billion, three hundred thirty-eight million, five hundred one thousand, six hundred thirty-two".