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14142010032320 = 265374383334667
BaseRepresentation
bin1100110111001011000101…
…1111000000000011000000
31212001221222222212001111012
43031302301133000003000
53323200314032013240
650024425534540052
72656504122614312
oct315626137000300
955057888761435
1014142010032320
114562657a88865
121704996667628
137b7780093781
1436c696a077b2
15197ced314b65
hexcdcb17c00c0

14142010032320 has 224 divisors, whose sum is σ = 35816629863168. Its totient is φ = 5311133356032.

The previous prime is 14142010032247. The next prime is 14142010032389. The reversal of 14142010032320 is 2323001024141.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42089627 + ... + 42424293.

It is an arithmetic number, because the mean of its divisors is an integer number (159895669032).

Almost surely, 214142010032320 is an apocalyptic number.

14142010032320 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 14142010032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17908314931584).

14142010032320 is an abundant number, since it is smaller than the sum of its proper divisors (21674619830848).

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

14142010032320 is a wasteful number, since it uses less digits than its factorization.

14142010032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334847 (or 334837 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 14142010032320 its reverse (2323001024141), we get a palindrome (16465011056461).

The spelling of 14142010032320 in words is "fourteen trillion, one hundred forty-two billion, ten million, thirty-two thousand, three hundred twenty".