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14300031424 = 267279197293
BaseRepresentation
bin11010101000101100…
…10010100111000000
31100220121000212022111
431110112102213000
5213241302001144
610322551145104
71014240155500
oct152426224700
940817025274
1014300031424
116078aa4298
122931075194
13146b81b073
14999297a00
1558a64b534
hex3545929c0

14300031424 has 168 divisors, whose sum is σ = 33711733440. Its totient is φ = 5999745024.

The previous prime is 14300031419. The next prime is 14300031433. The reversal of 14300031424 is 42413000341.

It is a junction number, because it is equal to n+sod(n) for n = 14300031395 and 14300031404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48805422 + ... + 48805714.

It is an arithmetic number, because the mean of its divisors is an integer number (200665080).

Almost surely, 214300031424 is an apocalyptic number.

14300031424 is a gapful number since it is divisible by the number (14) 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 14300031424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16855866720).

14300031424 is an abundant number, since it is smaller than the sum of its proper divisors (19411702016).

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

14300031424 is a wasteful number, since it uses less digits than its factorization.

14300031424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 14300031424 its reverse (42413000341), we get a palindrome (56713031765).

The spelling of 14300031424 in words is "fourteen billion, three hundred million, thirty-one thousand, four hundred twenty-four".