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14014482239520 = 2533575938320509
BaseRepresentation
bin1100101111110000000000…
…1111000101000000100000
31211121202211100210221121000
43023330000033011000200
53314103124423131040
645450055251432000
72644340635352160
oct313740017050040
954552740727530
1014014482239520
11451356595a584
1216a41258b5600
137a8738439c49
143664399d65a0
1519483753c130
hexcbf003c5020

14014482239520 has 768 divisors, whose sum is σ = 57159696384000. Its totient is φ = 3140641714176.

The previous prime is 14014482239491. The next prime is 14014482239539. The reversal of 14014482239520 is 2593228441041.

14014482239520 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 44 + 82 + 2 + 3 + 9 + 520 = 666.

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 127 ways as a sum of consecutive naturals, for example, 683323026 + ... + 683343534.

It is an arithmetic number, because the mean of its divisors is an integer number (74426688000).

Almost surely, 214014482239520 is an apocalyptic number.

14014482239520 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 14014482239520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28579848192000).

14014482239520 is an abundant number, since it is smaller than the sum of its proper divisors (43145214144480).

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

14014482239520 is a wasteful number, since it uses less digits than its factorization.

14014482239520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20982 (or 20968 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 14014482239520 in words is "fourteen trillion, fourteen billion, four hundred eighty-two million, two hundred thirty-nine thousand, five hundred twenty".