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14121123360 = 2535149347569
BaseRepresentation
bin11010010011010111…
…10011111000100000
31100110010101101120220
431021223303320200
5212410001421420
610253120403040
71006635365601
oct151153637040
940403341526
1014121123360
115a97007a93
1228a1176480
13144073a1c6
1497d605da8
15579aab840
hex349af3e20

14121123360 has 192 divisors, whose sum is σ = 44988048000. Its totient is φ = 3723026432.

The previous prime is 14121123343. The next prime is 14121123383. The reversal of 14121123360 is 6332112141.

It is a happy number.

14121123360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×141211233602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14121123360.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24817156 + ... + 24817724.

It is an arithmetic number, because the mean of its divisors is an integer number (234312750).

Almost surely, 214121123360 is an apocalyptic number.

14121123360 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 14121123360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22494024000).

14121123360 is an abundant number, since it is smaller than the sum of its proper divisors (30866924640).

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

14121123360 is a wasteful number, since it uses less digits than its factorization.

14121123360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 14121123360 in words is "fourteen billion, one hundred twenty-one million, one hundred twenty-three thousand, three hundred sixty".