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14111464476420 = 2234561288749463
BaseRepresentation
bin1100110101011001010011…
…0100111100111100000100
31211222001011020000001010000
43031112110310330330010
53322200234401221140
650002414533401300
72654343146643423
oct315262464747404
954861136001100
1014111464476420
1145507028a2593
1216baa90a99230
137b4922985c3c
1436add9d492ba
15197111874a30
hexcd594d3cf04

14111464476420 has 240 divisors, whose sum is σ = 45010389650688. Its totient is φ = 3700010845440.

The previous prime is 14111464476377. The next prime is 14111464476433. The reversal of 14111464476420 is 2467446411141.

14111464476420 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 146 + 447 + 64 + 2 + 0 = 666.

14111464476420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 285268609 + ... + 285318071.

Almost surely, 214111464476420 is an apocalyptic number.

14111464476420 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 14111464476420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22505194825344).

14111464476420 is an abundant number, since it is smaller than the sum of its proper divisors (30898925174268).

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

14111464476420 is a wasteful number, since it uses less digits than its factorization.

14111464476420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52432 (or 52421 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 14111464476420 in words is "fourteen trillion, one hundred eleven billion, four hundred sixty-four million, four hundred seventy-six thousand, four hundred twenty".