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140138708726016 = 28347112131813391
BaseRepresentation
bin11111110111010010010101…
…111100111111000100000000
3200101012010111120011220110000
4133313102111330333010000
5121332013033413213031
61214014500052240000
741342454562020150
oct3767222574770400
9611163446156400
10140138708726016
114071a546738100
12138739a2010000
13602703c901440
142686a6d22a760
1511304e1b933e6
hex7f7495f3f100

140138708726016 has 2160 divisors, whose sum is σ = 568595169286144. Its totient is φ = 33404203008000.

The previous prime is 140138708725963. The next prime is 140138708726039. The reversal of 140138708726016 is 610627807831041.

140138708726016 is a `hidden beast` number, since 1 + 401 + 38 + 70 + 8 + 72 + 60 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 41326659681 + ... + 41326663071.

Almost surely, 2140138708726016 is an apocalyptic number.

140138708726016 is a gapful number since it is divisible by the number (16) 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 140138708726016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284297584643072).

140138708726016 is an abundant number, since it is smaller than the sum of its proper divisors (428456460560128).

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

140138708726016 is a wasteful number, since it uses less digits than its factorization.

140138708726016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3642 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 140138708726016 in words is "one hundred forty trillion, one hundred thirty-eight billion, seven hundred eight million, seven hundred twenty-six thousand, sixteen".