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14442880095 = 335722183353
BaseRepresentation
bin11010111001101110…
…01101110001011111
31101021112211022212000
431130313031301133
5214034334130340
610345053013343
71020623312100
oct153467156137
941245738760
1014442880095
1161416a1646
122970a84253
1314922b4bc7
149b02403a7
15597e66d30
hex35cdcdc5f

14442880095 has 48 divisors (see below), whose sum is σ = 29868282720. Its totient is φ = 6602456448.

The previous prime is 14442880073. The next prime is 14442880103. The reversal of 14442880095 is 59008824441.

14442880095 is a `hidden beast` number, since 144 + 428 + 80 + 0 + 9 + 5 = 666.

It is not a de Polignac number, because 14442880095 - 26 = 14442880031 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 14442880095.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1085062 + ... + 1098291.

It is an arithmetic number, because the mean of its divisors is an integer number (622255890).

Almost surely, 214442880095 is an apocalyptic number.

14442880095 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14442880095 is an abundant number, since it is smaller than the sum of its proper divisors (15425402625).

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

14442880095 is a wasteful number, since it uses less digits than its factorization.

14442880095 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183381 (or 2183368 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 14442880095 in words is "fourteen billion, four hundred forty-two million, eight hundred eighty thousand, ninety-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 105 135 147 189 245 315 441 735 945 1323 2205 6615 2183353 6550059 10916765 15283471 19650177 32750295 45850413 58950531 76417355 98250885 106984297 137551239 229252065 294752655 320952891 412653717 534921485 687756195 962858673 1604764455 2063268585 2888576019 4814293365 14442880095