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14303059328 = 27832635119
BaseRepresentation
bin11010101001000011…
…10101110110000000
31100220210201200211002
431110201311312000
5213243040344303
610323140111132
71014304666265
oct152441656600
940823650732
1014303059328
11607a782198
1229320954a8
13146c33b31c
1499984526c
1558aa48788
hex354875d80

14303059328 has 64 divisors (see below), whose sum is σ = 28952985600. Its totient is φ = 7037127168.

The previous prime is 14303059319. The next prime is 14303059339. The reversal of 14303059328 is 82395030341.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×143030593282 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14303059291 and 14303059300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2791553 + ... + 2796671.

It is an arithmetic number, because the mean of its divisors is an integer number (452390400).

Almost surely, 214303059328 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 14303059328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14476492800).

14303059328 is an abundant number, since it is smaller than the sum of its proper divisors (14649926272).

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

14303059328 is an equidigital number, since it uses as much as digits as its factorization.

14303059328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5479 (or 5467 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

Adding to 14303059328 its reverse (82395030341), we get a palindrome (96698089669).

The spelling of 14303059328 in words is "fourteen billion, three hundred three million, fifty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 83 128 166 263 332 526 664 1052 1328 2104 2656 4208 5119 5312 8416 10238 10624 16832 20476 21829 33664 40952 43658 81904 87316 163808 174632 327616 349264 424877 655232 698528 849754 1346297 1397056 1699508 2692594 2794112 3399016 5385188 6798032 10770376 13596064 21540752 27192128 43081504 54384256 86163008 111742651 172326016 223485302 446970604 893941208 1787882416 3575764832 7151529664 14303059328