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14271309990 = 2325743598929
BaseRepresentation
bin11010100101010001…
…01110100010100110
31100211120222122220200
431102220232202212
5213211423404430
610320043411330
71013441063520
oct152250564246
940746878820
1014271309990
116063867473
122923523b46
1314658a3032
1499553ca10
15587d76460
hex352a2e8a6

14271309990 has 192 divisors, whose sum is σ = 44132774400. Its totient is φ = 3131799552.

The previous prime is 14271309959. The next prime is 14271310007. The reversal of 14271309990 is 9990317241.

14271309990 is a `hidden beast` number, since 1 + 427 + 130 + 9 + 9 + 90 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1593846 + ... + 1602774.

It is an arithmetic number, because the mean of its divisors is an integer number (229858200).

Almost surely, 214271309990 is an apocalyptic number.

14271309990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14271309990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22066387200).

14271309990 is an abundant number, since it is smaller than the sum of its proper divisors (29861464410).

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

14271309990 is a wasteful number, since it uses less digits than its factorization.

14271309990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9051 (or 9048 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 14271309990 in words is "fourteen billion, two hundred seventy-one million, three hundred nine thousand, nine hundred ninety".