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140607339264 = 283372415153
BaseRepresentation
bin1000001011110011011…
…0011011101100000000
3111102221011111220121000
42002330312123230000
54300430434324024
6144332155132000
713105244443500
oct2027466335400
9442834456530
10140607339264
11546a41a5117
1223301144000
131034a65a342
146b3c165a00
1539ce1ddcc9
hex20bcd9bb00

140607339264 has 216 divisors, whose sum is σ = 483687622320. Its totient is φ = 40173428736.

The previous prime is 140607339233. The next prime is 140607339287. The reversal of 140607339264 is 462933706041.

140607339264 is a `hidden beast` number, since 1 + 4 + 0 + 607 + 3 + 39 + 2 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131112 + ... + 546264.

Almost surely, 2140607339264 is an apocalyptic number.

140607339264 is a gapful number since it is divisible by the number (14) 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 140607339264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241843811160).

140607339264 is an abundant number, since it is smaller than the sum of its proper divisors (343080283056).

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

140607339264 is an equidigital number, since it uses as much as digits as its factorization.

140607339264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415192 (or 415165 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 140607339264 in words is "one hundred forty billion, six hundred seven million, three hundred thirty-nine thousand, two hundred sixty-four".