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140348562432 = 210313131139193
BaseRepresentation
bin1000001010110101101…
…1010001110000000000
3111102021010120200111220
42002231123101300000
54244413212444212
6144250352435040
713065653045211
oct2025533216000
9442233520456
10140348562432
1154581117271
122324a548a80
1310308b63a60
146b15a43408
1539b662438c
hex20ad6d1c00

140348562432 has 352 divisors, whose sum is σ = 410969475840. Its totient is φ = 42325770240.

The previous prime is 140348562401. The next prime is 140348562437. The reversal of 140348562432 is 234265843041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140348562437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 727194528 + ... + 727194720.

It is an arithmetic number, because the mean of its divisors is an integer number (1167526920).

Almost surely, 2140348562432 is an apocalyptic number.

140348562432 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 140348562432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205484737920).

140348562432 is an abundant number, since it is smaller than the sum of its proper divisors (270620913408).

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

140348562432 is a wasteful number, since it uses less digits than its factorization.

140348562432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 140348562432 in words is "one hundred forty billion, three hundred forty-eight million, five hundred sixty-two thousand, four hundred thirty-two".