Search a number
-
+
14105442216 = 23337341283
BaseRepresentation
bin11010010001011111…
…11111011110101000
31100102000212201002210
431020233333132220
5212341443122331
610251400325120
71006355165145
oct151057773650
940360781083
1014105442216
115a89177568
122897a737a0
13143a409818
1497b4c33cc
15578510446
hex348bff7a8

14105442216 has 128 divisors (see below), whose sum is σ = 37258300800. Its totient is φ = 4447388160.

The previous prime is 14105442209. The next prime is 14105442229. The reversal of 14105442216 is 61224450141.

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, 49842411 + ... + 49842693.

It is an arithmetic number, because the mean of its divisors is an integer number (291080475).

Almost surely, 214105442216 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 14105442216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18629150400).

14105442216 is an abundant number, since it is smaller than the sum of its proper divisors (23152858584).

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

14105442216 is an equidigital number, since it uses as much as digits as its factorization.

14105442216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 14105442216 its reverse (61224450141), we get a palindrome (75329892357).

The spelling of 14105442216 in words is "fourteen billion, one hundred five million, four hundred forty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 37 41 74 82 111 123 148 164 222 246 283 296 328 444 492 566 849 888 984 1132 1369 1517 1698 2264 2738 3034 3396 4107 4551 5476 6068 6792 8214 9102 10471 10952 11603 12136 16428 18204 20942 23206 31413 32856 34809 36408 41884 46412 50653 56129 62826 69618 83768 92824 101306 112258 125652 139236 151959 168387 202612 224516 251304 278472 303918 336774 387427 405224 429311 449032 607836 673548 774854 858622 1162281 1215672 1287933 1347096 1549708 1717244 2076773 2324562 2575866 3099416 3434488 4153546 4649124 5151732 6230319 8307092 9298248 10303464 12460638 14334799 15884507 16614184 24921276 28669598 31769014 43004397 47653521 49842552 57339196 63538028 86008794 95307042 114678392 127076056 172017588 190614084 344035176 381228168 587726759 1175453518 1763180277 2350907036 3526360554 4701814072 7052721108 14105442216