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14446320053140 = 2251247535789969
BaseRepresentation
bin1101001000111000101111…
…0001100110101110010100
31220011001110212211211022001
43102032023301212232110
53343142030413200030
650420314154445044
73020466164250223
oct322161361465624
956131425754261
1014446320053140
11466a717067538
121753963433784
1380a388b0ca51
1437d2c4320cba
151a0bae086cca
hexd238bc66b94

14446320053140 has 24 divisors (see below), whose sum is σ = 30337520529960. Its totient is φ = 5778480703488.

The previous prime is 14446320053107. The next prime is 14446320053153. The reversal of 14446320053140 is 4135002364441.

14446320053140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6833069192196 + 7613250860944 = 2614014^2 + 2759212^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14446320053140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 399925 + ... + 5390044.

It is an arithmetic number, because the mean of its divisors is an integer number (1264063355415).

Almost surely, 214446320053140 is an apocalyptic number.

14446320053140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14446320053140 is an abundant number, since it is smaller than the sum of its proper divisors (15891200476820).

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

14446320053140 is a wasteful number, since it uses less digits than its factorization.

14446320053140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5914731 (or 5914729 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 14446320053140 in words is "fourteen trillion, four hundred forty-six billion, three hundred twenty million, fifty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 124753 249506 499012 623765 1247530 2495060 5789969 11579938 23159876 28949845 57899690 115799380 722316002657 1444632005314 2889264010628 3611580013285 7223160026570 14446320053140