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14079952432 = 2473132171947
BaseRepresentation
bin11010001110011101…
…10000011000110000
31100100020220200200201
431013032300120300
5212313431434212
610245050124544
71005625423000
oct150716603060
940306820621
1014079952432
115a75847727
12288b420754
131435053700
14977d6a000
15576177b57
hex3473b0630

14079952432 has 480 divisors, whose sum is σ = 39211776000. Its totient is φ = 4860850176.

The previous prime is 14079952417. The next prime is 14079952433. The reversal of 14079952432 is 23425997041.

It is not an unprimeable number, because it can be changed into a prime (14079952433) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 299573433 + ... + 299573479.

It is an arithmetic number, because the mean of its divisors is an integer number (81691200).

Almost surely, 214079952432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14079952432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19605888000).

14079952432 is an abundant number, since it is smaller than the sum of its proper divisors (25131823568).

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

14079952432 is a wasteful number, since it uses less digits than its factorization.

14079952432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 14079952432 in words is "fourteen billion, seventy-nine million, nine hundred fifty-two thousand, four hundred thirty-two".