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14300001268 = 2272923375583
BaseRepresentation
bin11010101000101100…
…01011001111110100
31100220120222022221121
431110112023033310
5213241300020033
610322550353324
71014240001540
oct152426131764
940816868847
1014300001268
116078a83673
12293105b844
13146b80a417
1499928aa20
1558a64262d
hex35458b3f4

14300001268 has 48 divisors (see below), whose sum is σ = 29713582080. Its totient is φ = 5891768064.

The previous prime is 14300001263. The next prime is 14300001269. The reversal of 14300001268 is 86210000341.

It is a super-3 number, since 3×143000012683 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14300001263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151405 + ... + 226987.

It is an arithmetic number, because the mean of its divisors is an integer number (619032960).

Almost surely, 214300001268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14300001268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14856791040).

14300001268 is an abundant number, since it is smaller than the sum of its proper divisors (15413580812).

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

14300001268 is a wasteful number, since it uses less digits than its factorization.

14300001268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75856 (or 75854 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The spelling of 14300001268 in words is "fourteen billion, three hundred million, one thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 28 29 58 116 203 233 406 466 812 932 1631 3262 6524 6757 13514 27028 47299 75583 94598 151166 189196 302332 529081 1058162 2116324 2191907 4383814 8767628 15343349 17610839 30686698 35221678 61373396 70443356 123275873 246551746 493103492 510714331 1021428662 2042857324 3575000317 7150000634 14300001268