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14330241432 = 23321325919961
BaseRepresentation
bin11010101100010011…
…00010000110011000
31100222200212200122200
431112021202012120
5213322020211212
610325550450200
71015055020353
oct152611420630
940880780580
1014330241432
116094058541
12293b203960
131474b67800
1499d2bd29a
1558d1176dc
hex356262198

14330241432 has 144 divisors (see below), whose sum is σ = 42740638200. Its totient is φ = 4334353920.

The previous prime is 14330241353. The next prime is 14330241439. The reversal of 14330241432 is 23414203341.

It is a junction number, because it is equal to n+sod(n) for n = 14330241396 and 14330241405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14330241439) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 707932 + ... + 727892.

Almost surely, 214330241432 is an apocalyptic number.

14330241432 is a gapful number since it is divisible by the number (12) 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 14330241432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21370319100).

14330241432 is an abundant number, since it is smaller than the sum of its proper divisors (28410396768).

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

14330241432 is a wasteful number, since it uses less digits than its factorization.

14330241432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20058 (or 20038 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 14330241432 its reverse (23414203341), we get a palindrome (37744444773).

The spelling of 14330241432 in words is "fourteen billion, three hundred thirty million, two hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 59 72 78 104 117 118 156 169 177 234 236 312 338 354 468 472 507 531 676 708 767 936 1014 1062 1352 1416 1521 1534 2028 2124 2301 3042 3068 4056 4248 4602 6084 6136 6903 9204 9971 12168 13806 18408 19942 19961 27612 29913 39884 39922 55224 59826 59883 79768 79844 89739 119652 119766 159688 179478 179649 239304 239532 259493 358956 359298 479064 518986 717912 718596 778479 1037972 1177699 1437192 1556958 2075944 2335437 2355398 3113916 3373409 3533097 4670874 4710796 6227832 6746818 7066194 9341748 9421592 10120227 10599291 13493636 14132388 15310087 18683496 20240454 21198582 26987272 28264776 30360681 30620174 40480908 42397164 45930261 60721362 61240348 80961816 84794328 91860522 121442724 122480696 137790783 183721044 199031131 242885448 275581566 367442088 398062262 551163132 597093393 796124524 1102326264 1194186786 1592249048 1791280179 2388373572 3582560358 4776747144 7165120716 14330241432