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14334505120 = 25513291671423
BaseRepresentation
bin11010101100110011…
…10011000010100000
31100222222220022100001
431112121303002200
5213324113130440
610330222105344
71015136166055
oct152631630240
940888808301
1014334505120
1160964aa951
12294071b254
1314759cb3c0
1499daad02c
1558d6aab9a
hex3566730a0

14334505120 has 192 divisors, whose sum is σ = 37980472320. Its totient is φ = 5076062208.

The previous prime is 14334505117. The next prime is 14334505127. The reversal of 14334505120 is 2150543341.

It is not an unprimeable number, because it can be changed into a prime (14334505127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10072729 + ... + 10074151.

It is an arithmetic number, because the mean of its divisors is an integer number (197814960).

Almost surely, 214334505120 is an apocalyptic number.

14334505120 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 14334505120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18990236160).

14334505120 is an abundant number, since it is smaller than the sum of its proper divisors (23645967200).

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

14334505120 is a wasteful number, since it uses less digits than its factorization.

14334505120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 14334505120 in words is "fourteen billion, three hundred thirty-four million, five hundred five thousand, one hundred twenty".