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14117422894848 = 283371322998011
BaseRepresentation
bin1100110101101111011111…
…1110100000111100000000
31211222121112110211001121000
43031123313332200330000
53322244440230113343
650005242103132000
72654643620445630
oct315336776407400
954877473731530
1014117422894848
114553190202539
121700074444000
137b5362253310
1436b4034126c0
1519735e9e6ed3
hexcd6f7fa0f00

14117422894848 has 576 divisors, whose sum is σ = 51606689612800. Its totient is φ = 3706979696640.

The previous prime is 14117422894831. The next prime is 14117422894879. The reversal of 14117422894848 is 84849822471141.

It is a happy number.

14117422894848 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 74 + 2 + 2 + 89 + 484 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143990163 + ... + 144088173.

Almost surely, 214117422894848 is an apocalyptic number.

14117422894848 is a gapful number since it is divisible by the number (18) 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 14117422894848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25803344806400).

14117422894848 is an abundant number, since it is smaller than the sum of its proper divisors (37489266717952).

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

14117422894848 is a wasteful number, since it uses less digits than its factorization.

14117422894848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98285 (or 98265 counting only the distinct ones).

The product of its digits is 33030144, while the sum is 63.

The spelling of 14117422894848 in words is "fourteen trillion, one hundred seventeen billion, four hundred twenty-two million, eight hundred ninety-four thousand, eight hundred forty-eight".