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14140710432 = 253617181197
BaseRepresentation
bin11010010101101101…
…00001111000100000
31100111111020112000000
431022312201320200
5212430010213212
610255100300000
71010264025012
oct151266417040
940444215000
1014140710432
115aa7076052
1228a7841600
1314448076a4
149820641b2
1557b67a1dc
hex34ada1e20

14140710432 has 336 divisors, whose sum is σ = 44665252632. Its totient is φ = 4389396480.

The previous prime is 14140710407. The next prime is 14140710473. The reversal of 14140710432 is 23401704141.

It can be written as a sum of positive squares in 4 ways, for example, as 13179958416 + 960752016 = 114804^2 + 30996^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14140710396 and 14140710405.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 71780158 + ... + 71780354.

Almost surely, 214140710432 is an apocalyptic number.

14140710432 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 14140710432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22332626316).

14140710432 is an abundant number, since it is smaller than the sum of its proper divisors (30524542200).

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

14140710432 is a wasteful number, since it uses less digits than its factorization.

14140710432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 14140710432 in words is "fourteen billion, one hundred forty million, seven hundred ten thousand, four hundred thirty-two".