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13994466266880 = 28365111363409
BaseRepresentation
bin1100101110100101011100…
…1100001100111100000000
31211112212011102020012000000
43023221113030030330000
53313241131331020010
645432545152000000
72643031630401621
oct313512714147400
954485142205000
1013994466266880
114506024411030
1216a027a530000
137a689865c058
1436549b553a48
151940651b87c0
hexcba5730cf00

13994466266880 has 504 divisors, whose sum is σ = 54827700726960. Its totient is φ = 3392595394560.

The previous prime is 13994466266843. The next prime is 13994466266897. The reversal of 13994466266880 is 8866266449931.

13994466266880 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 4 + 466 + 26 + 68 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 13994466266799 and 13994466266808.

It is a congruent number.

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, 9582616 + ... + 10946024.

It is an arithmetic number, because the mean of its divisors is an integer number (108785120490).

Almost surely, 213994466266880 is an apocalyptic number.

13994466266880 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 13994466266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27413850363480).

13994466266880 is an abundant number, since it is smaller than the sum of its proper divisors (40833234460080).

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

13994466266880 is an equidigital number, since it uses as much as digits as its factorization.

13994466266880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363459 (or 1363430 counting only the distinct ones).

The product of its (nonzero) digits is 644972544, while the sum is 72.

The spelling of 13994466266880 in words is "thirteen trillion, nine hundred ninety-four billion, four hundred sixty-six million, two hundred sixty-six thousand, eight hundred eighty".