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140139479842560 = 283351122329471069
BaseRepresentation
bin11111110111010011000011…
…111010100011111100000000
3200101012012111022011200111000
4133313103003322203330000
5121332021123314430220
61214015104400052000
741342512644265302
oct3767230372437400
9611165438150430
10140139479842560
114071a901a40400
1213873b78304000
1360271335b0613
142686b037d7972
151130539712390
hex7f74c3ea3f00

140139479842560 has 3456 divisors, whose sum is σ = 603172168704000. Its totient is φ = 30679264788480.

The previous prime is 140139479842559. The next prime is 140139479842597. The reversal of 140139479842560 is 65248974931041.

140139479842560 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 3 + 9 + 479 + 84 + 25 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 131093993706 + ... + 131093994774.

It is an arithmetic number, because the mean of its divisors is an integer number (174528984000).

It is a 1-persistent number, because it is pandigital, but 2⋅140139479842560 = 280278959685120 is not.

Almost surely, 2140139479842560 is an apocalyptic number.

140139479842560 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 140139479842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301586084352000).

140139479842560 is an abundant number, since it is smaller than the sum of its proper divisors (463032688861440).

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

140139479842560 is a wasteful number, since it uses less digits than its factorization.

140139479842560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 140139479842560 in words is "one hundred forty trillion, one hundred thirty-nine billion, four hundred seventy-nine million, eight hundred forty-two thousand, five hundred sixty".