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14039619840 = 28345197127
BaseRepresentation
bin11010001001101001…
…11001100100000000
31100020110000120210000
431010310321210000
5212223120313330
610241045440000
71004625541161
oct150464714400
940213016700
1014039619840
115a54aaa204
122879a10000
1314298a167c
1497286b768
1557285c560
hex344d39900

14039619840 has 360 divisors, whose sum is σ = 52887764160. Its totient is φ = 3546353664.

The previous prime is 14039619829. The next prime is 14039619871. The reversal of 14039619840 is 4891693041.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×140396198402 (a number of 21 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 1966357 + ... + 1973483.

It is an arithmetic number, because the mean of its divisors is an integer number (146910456).

Almost surely, 214039619840 is an apocalyptic number.

14039619840 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 14039619840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26443882080).

14039619840 is an abundant number, since it is smaller than the sum of its proper divisors (38848144320).

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

14039619840 is an equidigital number, since it uses as much as digits as its factorization.

14039619840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7179 (or 7156 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 14039619840 in words is "fourteen billion, thirty-nine million, six hundred nineteen thousand, eight hundred forty".