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14242001304 = 23319235992267
BaseRepresentation
bin11010100001110001…
…11011000110011000
31100202112211121221210
431100320323012120
5213131423020204
610313115303120
71012634004456
oct152070730630
940675747853
1014242001304
116049269413
12291574aaa0
13145c7b090b
149916ad9d6
155854d7389
hex350e3b198

14242001304 has 128 divisors (see below), whose sum is σ = 39191040000. Its totient is φ = 4292855424.

The previous prime is 14242001273. The next prime is 14242001317. The reversal of 14242001304 is 40310024241.

It is a super-2 number, since 2×142420013042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6281179 + ... + 6283445.

It is an arithmetic number, because the mean of its divisors is an integer number (306180000).

Almost surely, 214242001304 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 14242001304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19595520000).

14242001304 is an abundant number, since it is smaller than the sum of its proper divisors (24949038696).

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

14242001304 is a wasteful number, since it uses less digits than its factorization.

14242001304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2917 (or 2913 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 14242001304 its reverse (40310024241), we get a palindrome (54552025545).

The spelling of 14242001304 in words is "fourteen billion, two hundred forty-two million, one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 76 92 114 138 152 184 228 276 437 456 552 599 874 1198 1311 1748 1797 2267 2396 2622 3496 3594 4534 4792 5244 6801 7188 9068 10488 11381 13602 13777 14376 18136 22762 27204 27554 34143 41331 43073 45524 52141 54408 55108 68286 82662 86146 91048 104282 110216 129219 136572 156423 165324 172292 208564 258438 261763 273144 312846 330648 344584 417128 516876 523526 625692 785289 990679 1033752 1047052 1251384 1357933 1570578 1981358 2094104 2715866 2972037 3141156 3962716 4073799 5431732 5944074 6282312 7925432 8147598 10863464 11888148 16295196 23776296 25800727 31232459 32590392 51601454 62464918 77402181 93697377 103202908 124929836 154804362 187394754 206405816 249859672 309608724 374789508 593416721 619217448 749579016 1186833442 1780250163 2373666884 3560500326 4747333768 7121000652 14242001304