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140461313839488 = 2733291638597999
BaseRepresentation
bin11111111011111110110010…
…101101110101000110000000
3200102022222012110121200022000
4133323332302231311012000
5121402304232320330423
61214423011535344000
741404665204155445
oct3773766255650600
9612288173550260
10140461313839488
1140834343930764
1213906415982000
13604b5a2a4b225
1426985146279cc
151138ac3b5d843
hex7fbfb2b75180

140461313839488 has 256 divisors, whose sum is σ = 431482032000000. Its totient is φ = 44928597805056.

The previous prime is 140461313839423. The next prime is 140461313839493. The reversal of 140461313839488 is 884938313164041.

140461313839488 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 6 + 13 + 138 + 3 + 9 + 488 = 666.

It is a super-4 number, since 4×1404613138394884 (a number of 58 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12037513 + ... + 20635511.

It is an arithmetic number, because the mean of its divisors is an integer number (1685476687500).

Almost surely, 2140461313839488 is an apocalyptic number.

140461313839488 is a gapful number since it is divisible by the number (18) 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 140461313839488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215741016000000).

140461313839488 is an abundant number, since it is smaller than the sum of its proper divisors (291020718160512).

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

140461313839488 is a wasteful number, since it uses less digits than its factorization.

140461313839488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8598214 (or 8598196 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 140461313839488 in words is "one hundred forty trillion, four hundred sixty-one billion, three hundred thirteen million, eight hundred thirty-nine thousand, four hundred eighty-eight".