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14136995781720 = 2334571764756671
BaseRepresentation
bin1100110110111000011010…
…0111001001110001011000
31212001111001112122201210000
43031232012213021301120
53323110031410003340
650022240214053000
72656235635315020
oct315560647116130
955044045581700
1014136995781720
1145605146280a9
121703a1734a160
137b71612b5696
1436c33cab6a80
15197b07ee5d30
hexcdb869c9c58

14136995781720 has 640 divisors, whose sum is σ = 57588254760960. Its totient is φ = 3036481966080.

The previous prime is 14136995781719. The next prime is 14136995781731. The reversal of 14136995781720 is 2718759963141.

14136995781720 is a `hidden beast` number, since 1 + 4 + 1 + 36 + 9 + 9 + 578 + 1 + 7 + 20 = 666.

14136995781720 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-3 number, since 3×141369957817203 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 249428985 + ... + 249485655.

It is an arithmetic number, because the mean of its divisors is an integer number (89981648064).

It is a 4-persistent number, because k⋅14136995781720 is pandigital for 1 ≤ k ≤ 4, but not for k = 5.

Almost surely, 214136995781720 is an apocalyptic number.

14136995781720 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 14136995781720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28794127380480).

14136995781720 is an abundant number, since it is smaller than the sum of its proper divisors (43451258979240).

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

14136995781720 is a wasteful number, since it uses less digits than its factorization.

14136995781720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57365 (or 57352 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 14136995781720 in words is "fourteen trillion, one hundred thirty-six billion, nine hundred ninety-five million, seven hundred eighty-one thousand, seven hundred twenty".