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139997765456640 = 283357131722337181
BaseRepresentation
bin11111110101001111000101…
…000101000101001100000000
3200100200122200222112222101000
4133311033011011011030000
5121322210410424103030
61213430030253012000
741326335065006310
oct3765170505051400
9610618628488330
10139997765456640
114067579a9587a3
1213850608484000
13601696a7a60b0
14267dcdc61b440
15112b9e3249860
hex7f53c5145300

139997765456640 has 6912 divisors, whose sum is σ = 699930254499840. Its totient is φ = 25730104688640.

The previous prime is 139997765456629. The next prime is 139997765456699. The reversal of 139997765456640 is 46654567799931.

139997765456640 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 9 + 7 + 7 + 6 + 5 + 4 + 566 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a self number, because there is not a number n which added to its sum of digits gives 139997765456640.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 773468317350 + ... + 773468317530.

Almost surely, 2139997765456640 is an apocalyptic number.

139997765456640 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 139997765456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349965127249920).

139997765456640 is an abundant number, since it is smaller than the sum of its proper divisors (559932489043200).

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

139997765456640 is a wasteful number, since it uses less digits than its factorization.

139997765456640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 9258883200, while the sum is 81.

The spelling of 139997765456640 in words is "one hundred thirty-nine trillion, nine hundred ninety-seven billion, seven hundred sixty-five million, four hundred fifty-six thousand, six hundred forty".