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14095730880 = 26325711173739
BaseRepresentation
bin11010010000010101…
…11100100011000000
31100101100121022122200
431020022330203000
5212332001342010
610250412233200
71006206510210
oct151012744300
940340538580
1014095730880
115a83744270
12289476b800
1314383b947a
1497a0b6240
15577742cc0
hex3482bc8c0

14095730880 has 672 divisors, whose sum is σ = 64019704320. Its totient is φ = 2755952640.

The previous prime is 14095730843. The next prime is 14095730893. The reversal of 14095730880 is 8803759041.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3768051 + ... + 3771789.

Almost surely, 214095730880 is an apocalyptic number.

14095730880 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 14095730880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32009852160).

14095730880 is an abundant number, since it is smaller than the sum of its proper divisors (49923973440).

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

14095730880 is a wasteful number, since it uses less digits than its factorization.

14095730880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3797 (or 3784 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 14095730880 in words is "fourteen billion, ninety-five million, seven hundred thirty thousand, eight hundred eighty".