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139997359874304 = 28366124492
BaseRepresentation
bin11111110101001110101100…
…111001111010000100000000
3200100200121122201101021000000
4133311032230321322010000
5121322204043111434204
61213425522124000000
741326322041424442
oct3765165471720400
9610617581337000
10139997359874304
1140675601a1a789
1213850514690000
13601690475b94a
14267dca0802492
15112b9bc832039
hex7f53ace7a100

139997359874304 has 567 divisors, whose sum is σ = 426912044335959. Its totient is φ = 45798544834560.

The previous prime is 139997359874299. The next prime is 139997359874327. The reversal of 139997359874304 is 403478953799931.

The square root of 139997359874304 is 11832048.

It is a perfect power (a square), and thus also a powerful number.

139997359874304 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 97 + 3 + 5 + 98 + 7 + 430 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31244164763904 + 108753195110400 = 5589648^2 + 10428480^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 311798128672 + ... + 311798129120.

Almost surely, 2139997359874304 is an apocalyptic number.

139997359874304 is the 11832048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139997359874304

139997359874304 is an abundant number, since it is smaller than the sum of its proper divisors (286914684461655).

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

139997359874304 is an frugal number, since it uses more digits than its factorization.

139997359874304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 5555329920, while the sum is 81.

139997359874304 divided by its sum of digits (81) gives a square (1728362467584 = 13146722).

The spelling of 139997359874304 in words is "one hundred thirty-nine trillion, nine hundred ninety-seven billion, three hundred fifty-nine million, eight hundred seventy-four thousand, three hundred four".