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140265818640 = 243354753131199
BaseRepresentation
bin1000001010100001111…
…1101000101000010000
3111102001100212212101000
42002220133220220100
54244231022144030
6144234235142000
713063626533523
oct2025037505020
9442040785330
10140265818640
1154539441672
12232268a4900
13102c498282c
146b08a64bba
1539ae22c860
hex20a87e8a10

140265818640 has 640 divisors, whose sum is σ = 509110272000. Its totient is φ = 35464366080.

The previous prime is 140265818629. The next prime is 140265818659. The reversal of 140265818640 is 46818562041.

It is a happy number.

140265818640 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 6 + 581 + 8 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 704853261 + ... + 704853459.

It is an arithmetic number, because the mean of its divisors is an integer number (795484800).

Almost surely, 2140265818640 is an apocalyptic number.

140265818640 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 140265818640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254555136000).

140265818640 is an abundant number, since it is smaller than the sum of its proper divisors (368844453360).

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

140265818640 is a wasteful number, since it uses less digits than its factorization.

140265818640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 140265818640 in words is "one hundred forty billion, two hundred sixty-five million, eight hundred eighteen thousand, six hundred forty".