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14057763720 = 233571113373163
BaseRepresentation
bin11010001011110100…
…00111001110001000
31100021201011101111120
431011322013032020
5212242241414340
610242534355240
71005236006610
oct150572071610
940251141446
1014057763720
115a64271a50
122883abbb20
131430584cb0
14975031a40
155742434d0
hex345e87388

14057763720 has 512 divisors, whose sum is σ = 58173050880. Its totient is φ = 2622689280.

The previous prime is 14057763673. The next prime is 14057763761. The reversal of 14057763720 is 2736775041.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 4442859 + ... + 4446021.

It is an arithmetic number, because the mean of its divisors is an integer number (113619240).

Almost surely, 214057763720 is an apocalyptic number.

14057763720 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 14057763720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29086525440).

14057763720 is an abundant number, since it is smaller than the sum of its proper divisors (44115287160).

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

14057763720 is a wasteful number, since it uses less digits than its factorization.

14057763720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3245 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 42.

It can be divided in two parts, 14057 and 763720, that added together give a palindrome (777777).

The spelling of 14057763720 in words is "fourteen billion, fifty-seven million, seven hundred sixty-three thousand, seven hundred twenty".