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14534104320 = 283351932179
BaseRepresentation
bin11011000100100110…
…01101010100000000
31101111220110222222000
431202103031110000
5214231212314240
610402112144000
71023111563661
oct154223152400
941456428860
1014534104320
11618913976a
122997538000
1314a8175138
149bc3c9368
155a0e86430
hex3624cd500

14534104320 has 288 divisors, whose sum is σ = 51866908800. Its totient is φ = 3853910016.

The previous prime is 14534104313. The next prime is 14534104331. The reversal of 14534104320 is 2340143541.

It is a happy number.

14534104320 is a `hidden beast` number, since 1 + 4 + 534 + 104 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×145341043202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6668991 + ... + 6671169.

Almost surely, 214534104320 is an apocalyptic number.

14534104320 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 14534104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25933454400).

14534104320 is an abundant number, since it is smaller than the sum of its proper divisors (37332804480).

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

14534104320 is a wasteful number, since it uses less digits than its factorization.

14534104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 14534104320 its reverse (2340143541), we get a palindrome (16874247861).

The spelling of 14534104320 in words is "fourteen billion, five hundred thirty-four million, one hundred four thousand, three hundred twenty".