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140257880560 = 245723293112113
BaseRepresentation
bin1000001010100000000…
…1010110100111110000
3111102000210221120101001
42002220001112213300
54244222004134220
6144233353051344
713063502212450
oct2025001264760
9442023846331
10140257880560
1154534a0a676
12232240b6b54
13102c3133645
146b07999d60
1539ad6b080a
hex20a80569f0

140257880560 has 320 divisors, whose sum is σ = 415310561280. Its totient is φ = 42975313920.

The previous prime is 140257880549. The next prime is 140257880561. The reversal of 140257880560 is 65088752041.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 140257880560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140257880561) 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, 11573064 + ... + 11585176.

It is an arithmetic number, because the mean of its divisors is an integer number (1297845504).

Almost surely, 2140257880560 is an apocalyptic number.

140257880560 is a gapful number since it is divisible by the number (10) 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 140257880560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207655280640).

140257880560 is an abundant number, since it is smaller than the sum of its proper divisors (275052680720).

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

140257880560 is a wasteful number, since it uses less digits than its factorization.

140257880560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12216 (or 12210 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 46.

The spelling of 140257880560 in words is "one hundred forty billion, two hundred fifty-seven million, eight hundred eighty thousand, five hundred sixty".