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14108011760640 = 21035722329157179
BaseRepresentation
bin1100110101001100011100…
…0001111000110000000000
31211221201020121002220110210
43031103013001320300000
53322121202002320030
650001044153554120
72654161453230600
oct315230701706000
954851217086423
1014108011760640
11454a1a0931076
1216ba288715940
137b44c2563855
1436ab8d578c00
15196ead6a7bb0
hexcd4c7078c00

14108011760640 has 2112 divisors, whose sum is σ = 57341101132800. Its totient is φ = 2942622498816.

The previous prime is 14108011760599. The next prime is 14108011760651. The reversal of 14108011760640 is 4606711080141.

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 191 ways as a sum of consecutive naturals, for example, 78815708071 + ... + 78815708249.

Almost surely, 214108011760640 is an apocalyptic number.

14108011760640 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 14108011760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28670550566400).

14108011760640 is an abundant number, since it is smaller than the sum of its proper divisors (43233089372160).

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

14108011760640 is a wasteful number, since it uses less digits than its factorization.

14108011760640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 14108011760640 in words is "fourteen trillion, one hundred eight billion, eleven million, seven hundred sixty thousand, six hundred forty".