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13411444331295 = 325298032096251
BaseRepresentation
bin1100001100101001100001…
…1000000001001100011111
31202111010021121121011110100
43003022120120001030133
53224213114222100140
644305044340312143
72552642043614643
oct303123030011437
952433247534410
1013411444331295
11430084176462a
1216072896a2653
137639032b480a
143451900bcc23
15183ce0b3d530
hexc329860131f

13411444331295 has 12 divisors (see below), whose sum is σ = 23246503507656. Its totient is φ = 7152770310000.

The previous prime is 13411444331267. The next prime is 13411444331317. The reversal of 13411444331295 is 59213344411431.

13411444331295 is a `hidden beast` number, since 1 + 3 + 4 + 114 + 4 + 433 + 12 + 95 = 666.

It is not a de Polignac number, because 13411444331295 - 214 = 13411444314911 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 298032096251 = 13411444331295 / (1 + 3 + 4 + 1 + 1 + 4 + 4 + 4 + 3 + 3 + 1 + 2 + 9 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 13411444331295.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149016048081 + ... + 149016048170.

It is an arithmetic number, because the mean of its divisors is an integer number (1937208625638).

Almost surely, 213411444331295 is an apocalyptic number.

13411444331295 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13411444331295 is a deficient number, since it is larger than the sum of its proper divisors (9835059176361).

13411444331295 is a wasteful number, since it uses less digits than its factorization.

13411444331295 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298032096262 (or 298032096259 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 13411444331295 in words is "thirteen trillion, four hundred eleven billion, four hundred forty-four million, three hundred thirty-one thousand, two hundred ninety-five".

Divisors: 1 3 5 9 15 45 298032096251 894096288753 1490160481255 2682288866259 4470481443765 13411444331295