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14424241334130 = 23254711233036497
BaseRepresentation
bin1101000111100110011111…
…0001111110011101110010
31220001221111011211200122100
43101321213301332131302
53342311321240143010
650402223251121230
73016055101242105
oct321714761763562
956057434750570
1014424241334130
114661317215121
12174b6212a3216
1380827a888784
1437c1cbd2c73c
151a031aaa92c0
hexd1e67c7e772

14424241334130 has 96 divisors (see below), whose sum is σ = 38335082782464. Its totient is φ = 3761271157248.

The previous prime is 14424241334123. The next prime is 14424241334183. The reversal of 14424241334130 is 3143314242441.

14424241334130 is a `hidden beast` number, since 1 + 4 + 4 + 242 + 41 + 3 + 341 + 30 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3232042 + ... + 6268538.

It is an arithmetic number, because the mean of its divisors is an integer number (399323778984).

Almost surely, 214424241334130 is an apocalyptic number.

14424241334130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14424241334130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19167541391232).

14424241334130 is an abundant number, since it is smaller than the sum of its proper divisors (23910841448334).

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

14424241334130 is a wasteful number, since it uses less digits than its factorization.

14424241334130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3037680 (or 3037677 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 14424241334130 its reverse (3143314242441), we get a palindrome (17567555576571).

The spelling of 14424241334130 in words is "fourteen trillion, four hundred twenty-four billion, two hundred forty-one million, three hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 141 235 282 423 470 705 846 1123 1410 2115 2246 3369 4230 5615 6738 10107 11230 16845 20214 33690 50535 52781 101070 105562 158343 263905 316686 475029 527810 791715 950058 1583430 2375145 3036497 4750290 6072994 9109491 15182485 18218982 27328473 30364970 45547455 54656946 91094910 136642365 142715359 273284730 285430718 428146077 713576795 856292154 1284438231 1427153590 2140730385 2568876462 3409986131 4281460770 6422191155 6819972262 10229958393 12844382310 17049930655 20459916786 30689875179 34099861310 51149791965 61379750358 102299583930 153449375895 160269348157 306898751790 320538696314 480808044471 801346740785 961616088942 1442424133413 1602693481570 2404040222355 2884848266826 4808080444710 7212120667065 14424241334130