Search a number
-
+
14437607856 = 2437612772543
BaseRepresentation
bin11010111001000110…
…00110100110110000
31101021011220110200220
431130203012212300
5214032011422411
610344344013040
71020530433120
oct153443064660
941234813626
1014437607856
116139720521
12296b161180
13149118a239
149ad66ac80
15597774b06
hex35c8c69b0

14437607856 has 160 divisors (see below), whose sum is σ = 43497596928. Its totient is φ = 4041169920.

The previous prime is 14437607837. The next prime is 14437607887. The reversal of 14437607856 is 65870673441.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14437607799 and 14437607808.

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, 5676121 + ... + 5678663.

Almost surely, 214437607856 is an apocalyptic number.

14437607856 is a gapful number since it is divisible by the number (16) 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 14437607856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21748798464).

14437607856 is an abundant number, since it is smaller than the sum of its proper divisors (29059989072).

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

14437607856 is a wasteful number, since it uses less digits than its factorization.

14437607856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2899 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 14437607856 in words is "fourteen billion, four hundred thirty-seven million, six hundred seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 84 112 122 168 183 244 277 336 366 427 488 554 732 831 854 976 1108 1281 1464 1662 1708 1939 2216 2543 2562 2928 3324 3416 3878 4432 5086 5124 5817 6648 6832 7629 7756 10172 10248 11634 13296 15258 15512 16897 17801 20344 20496 23268 30516 31024 33794 35602 40688 46536 50691 53403 61032 67588 71204 93072 101382 106806 118279 122064 135176 142408 155123 202764 213612 236558 270352 284816 310246 354837 405528 427224 465369 473116 620492 704411 709674 811056 854448 930738 946232 1085861 1240984 1408822 1419348 1861476 1892464 2113233 2171722 2481968 2817644 2838696 3257583 3722952 4226466 4343444 4930877 5635288 5677392 6515166 7445904 8452932 8686888 9861754 11270576 13030332 14792631 16905864 17373776 19723508 26060664 29585262 33811728 39447016 42969071 52121328 59170524 78894032 85938142 118341048 128907213 171876284 236682096 257814426 300783497 343752568 515628852 601566994 687505136 902350491 1031257704 1203133988 1804700982 2062515408 2406267976 3609401964 4812535952 7218803928 14437607856