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139727499631104 = 29371125379113227
BaseRepresentation
bin11111110001010011010111…
…111110110001101000000000
3200022201211002200201111220210
4133301103113332301220000
5121303243404401143404
61213101532134234120
741300656461256140
oct3761232776615000
9608654080644823
10139727499631104
1140581110942900
1213808160ab5940
135cc7328c48878
142670bc04c8920
1511249761a6689
hex7f14d7fb1a00

139727499631104 has 1920 divisors, whose sum is σ = 488878229790720. Its totient is φ = 34692716298240.

The previous prime is 139727499631103. The next prime is 139727499631147. The reversal of 139727499631104 is 401136994727931.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (139727499631103) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 615539645839 + ... + 615539646065.

It is an arithmetic number, because the mean of its divisors is an integer number (254624078016).

Almost surely, 2139727499631104 is an apocalyptic number.

139727499631104 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 139727499631104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244439114895360).

139727499631104 is an abundant number, since it is smaller than the sum of its proper divisors (349150730159616).

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

139727499631104 is a wasteful number, since it uses less digits than its factorization.

139727499631104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 66.

The spelling of 139727499631104 in words is "one hundred thirty-nine trillion, seven hundred twenty-seven billion, four hundred ninety-nine million, six hundred thirty-one thousand, one hundred four".