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14220388728 = 233371321929101
BaseRepresentation
bin11010011111001100…
…11110100101111000
31100201001011121002000
431033212132211320
5213110404414403
610311024141000
71012252211160
oct151746364570
940631147060
1014220388728
116038047587
12290a467760
131458184500
1498c8855a0
155836687a3
hex34f99e978

14220388728 has 768 divisors, whose sum is σ = 53758080000. Its totient is φ = 3396556800.

The previous prime is 14220388639. The next prime is 14220388751. The reversal of 14220388728 is 82788302241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 140795878 + ... + 140795978.

It is an arithmetic number, because the mean of its divisors is an integer number (69997500).

Almost surely, 214220388728 is an apocalyptic number.

14220388728 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 14220388728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26879040000).

14220388728 is an abundant number, since it is smaller than the sum of its proper divisors (39537691272).

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

14220388728 is a wasteful number, since it uses less digits than its factorization.

14220388728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 14220388728 in words is "fourteen billion, two hundred twenty million, three hundred eighty-eight thousand, seven hundred twenty-eight".