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14157727290 = 2335725361331
BaseRepresentation
bin11010010111101110…
…11100011000111010
31100112200021001202000
431023313130120322
5212443334233130
610300505121430
71010561460600
oct151367343072
940480231660
1014157727290
116005739073
1228b1489276
1314481b5035
14984413870
1557cddc260
hex34bddc63a

14157727290 has 384 divisors, whose sum is σ = 45617437440. Its totient is φ = 3113510400.

The previous prime is 14157727273. The next prime is 14157727319. The reversal of 14157727290 is 9272775141.

14157727290 is a `hidden beast` number, since 1 + 4 + 1 + 577 + 2 + 72 + 9 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42772425 + ... + 42772755.

It is an arithmetic number, because the mean of its divisors is an integer number (118795410).

Almost surely, 214157727290 is an apocalyptic number.

14157727290 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 14157727290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22808718720).

14157727290 is an abundant number, since it is smaller than the sum of its proper divisors (31459710150).

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

14157727290 is a wasteful number, since it uses less digits than its factorization.

14157727290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 14157727290 in words is "fourteen billion, one hundred fifty-seven million, seven hundred twenty-seven thousand, two hundred ninety".