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14011150560 = 2535113318017
BaseRepresentation
bin11010000110010000…
…10011000011100000
31100011110110012021020
431003020103003200
5212143323304220
610234151325440
71004131546311
oct150310230340
940143405236
1014011150560
115a3aa24880
122870380880
131423a14344
1496cb7a608
155700d7040
hex3432130e0

14011150560 has 192 divisors, whose sum is σ = 48298892544. Its totient is φ = 3385958400.

The previous prime is 14011150523. The next prime is 14011150597. The reversal of 14011150560 is 6505111041.

It is an interprime number because it is at equal distance from previous prime (14011150523) and next prime (14011150597).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14011150560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1743672 + ... + 1751688.

It is an arithmetic number, because the mean of its divisors is an integer number (251556732).

Almost surely, 214011150560 is an apocalyptic number.

14011150560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14011150560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24149446272).

14011150560 is an abundant number, since it is smaller than the sum of its proper divisors (34287741984).

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

14011150560 is a wasteful number, since it uses less digits than its factorization.

14011150560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8377 (or 8369 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

The spelling of 14011150560 in words is "fourteen billion, eleven million, one hundred fifty thousand, five hundred sixty".