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14159619072 = 21034533221
BaseRepresentation
bin11010010111111101…
…01010010000000000
31100112210211011210000
431023332222100000
5212444330302242
610301013440000
71010613530154
oct151376522000
940483734700
1014159619072
116006810425
1228b2040000
1314486c8131
14984787064
1557d162a4c
hex34bfaa400

14159619072 has 220 divisors, whose sum is σ = 43094565756. Its totient is φ = 4629381120.

The previous prime is 14159619049. The next prime is 14159619079. The reversal of 14159619072 is 27091695141.

14159619072 is a `hidden beast` number, since 1 + 41 + 596 + 19 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10571129856 + 3588489216 = 102816^2 + 59904^2 .

It is a super-2 number, since 2×141596190722 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14159619079) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4394422 + ... + 4397642.

Almost surely, 214159619072 is an apocalyptic number.

14159619072 is a gapful number since it is divisible by the number (12) 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 14159619072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21547282878).

14159619072 is an abundant number, since it is smaller than the sum of its proper divisors (28934946684).

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

14159619072 is an equidigital number, since it uses as much as digits as its factorization.

14159619072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3306 (or 3279 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 14159619072 in words is "fourteen billion, one hundred fifty-nine million, six hundred nineteen thousand, seventy-two".