Search a number
-
+
14244460023416 = 2372239257591601
BaseRepresentation
bin1100111101001000101111…
…1110101100111001111000
31212102202102220120211200212
43033102023332230321320
53331340123231222131
650143451541450252
73000061666306100
oct317221376547170
955382386524625
1014244460023416
1145a2050370497
121720808a10988
137c432934318c
143736151bc200
1519a7e769ca2b
hexcf48bface78

14244460023416 has 96 divisors (see below), whose sum is σ = 31320356443200. Its totient is φ = 6055560806400.

The previous prime is 14244460023407. The next prime is 14244460023473. The reversal of 14244460023416 is 61432006444241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23782016 + ... + 24373616.

It is an arithmetic number, because the mean of its divisors is an integer number (326253712950).

Almost surely, 214244460023416 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 14244460023416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15660178221600).

14244460023416 is an abundant number, since it is smaller than the sum of its proper divisors (17075896419784).

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

14244460023416 is a wasteful number, since it uses less digits than its factorization.

14244460023416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592117 (or 592106 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 41.

Adding to 14244460023416 its reverse (61432006444241), we get a palindrome (75676466467657).

The spelling of 14244460023416 in words is "fourteen trillion, two hundred forty-four billion, four hundred sixty million, twenty-three thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 239 257 392 478 514 956 1028 1673 1799 1912 2056 3346 3598 6692 7196 11711 12593 13384 14392 23422 25186 46844 50372 61423 93688 100744 122846 245692 429961 491384 591601 859922 1183202 1719844 2366404 3009727 3439688 4141207 4732808 6019454 8282414 12038908 16564828 24077816 28988449 33129656 57976898 115953796 141392639 152041457 231907592 282785278 304082914 565570556 608165828 989748473 1064290199 1131141112 1216331656 1979496946 2128580398 3958993892 4257160796 6928239311 7450031393 7917987784 8514321592 13856478622 14900062786 27712957244 29800125572 36337908223 55425914488 59600251144 72675816446 145351632892 254365357561 290703265784 508730715122 1017461430244 1780557502927 2034922860488 3561115005854 7122230011708 14244460023416