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140939503683264 = 2632111321723336631
BaseRepresentation
bin100000000010111100001001…
…000011010100011011000000
3200111000200111100011122202200
4200002330021003110123000
5121433123100420331024
61215430414131313200
741454354200603616
oct4002741103243300
9614020440148680
10140939503683264
11409a91205a8a60
121398302a74b800
1360846cc486600
1426b3718da76b6
15114625eb632c9
hex802f090d46c0

140939503683264 has 1008 divisors, whose sum is σ = 527252385314304. Its totient is φ = 35491250995200.

The previous prime is 140939503683257. The next prime is 140939503683269. The reversal of 140939503683264 is 462386305939041.

140939503683264 is a `hidden beast` number, since 1 + 4 + 0 + 9 + 3 + 9 + 5 + 0 + 368 + 3 + 264 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (140939503683269) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 418508229 + ... + 418844859.

Almost surely, 2140939503683264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140939503683264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263626192657152).

140939503683264 is an abundant number, since it is smaller than the sum of its proper divisors (386312881631040).

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

140939503683264 is a wasteful number, since it uses less digits than its factorization.

140939503683264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336726 (or 336700 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 140939503683264 in words is "one hundred forty trillion, nine hundred thirty-nine billion, five hundred three million, six hundred eighty-three thousand, two hundred sixty-four".