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14021860032 = 2632174013571
BaseRepresentation
bin11010000111100010…
…01001101011000000
31100012012121021220100
431003301021223000
5212204044010112
610235213042400
71004321562255
oct150361115300
940165537810
1014021860032
115a45a79a84
122873a86400
131425cc3acb
1497036742c
155710002dc
hex343c49ac0

14021860032 has 168 divisors, whose sum is σ = 42673383792. Its totient is φ = 4386816000.

The previous prime is 14021859967. The next prime is 14021860033. The reversal of 14021860032 is 23006812041.

14021860032 is a `hidden beast` number, since 1 + 4 + 0 + 21 + 8 + 600 + 32 = 666.

It is a super-2 number, since 2×140218600322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14021859978 and 14021860005.

It is not an unprimeable number, because it can be changed into a prime (14021860033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3924807 + ... + 3928377.

Almost surely, 214021860032 is an apocalyptic number.

14021860032 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 14021860032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21336691896).

14021860032 is an abundant number, since it is smaller than the sum of its proper divisors (28651523760).

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

14021860032 is a wasteful number, since it uses less digits than its factorization.

14021860032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4007 (or 3994 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 14021860032 in words is "fourteen billion, twenty-one million, eight hundred sixty thousand, thirty-two".