Search a number
-
+
14304252243320 = 23513313847230663
BaseRepresentation
bin1101000000100111011111…
…0111111010110101111000
31212122110202221012022201222
43100021313313322311320
53333330102033241240
650231141024331212
73004306463633654
oct320116767726570
955573687168658
1014304252243320
114615443531266
121730315173b08
137c9b67a20a60
14376488225a64
1519c146a5aeb5
hexd0277dfad78

14304252243320 has 128 divisors (see below), whose sum is σ = 35787833303040. Its totient is φ = 5109846059520.

The previous prime is 14304252243319. The next prime is 14304252243329. The reversal of 14304252243320 is 2334225240341.

It is a super-2 number, since 2×143042522433202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14304252243329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61898309 + ... + 62128971.

It is an arithmetic number, because the mean of its divisors is an integer number (279592447680).

Almost surely, 214304252243320 is an apocalyptic number.

14304252243320 is a gapful number since it is divisible by the number (10) 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 14304252243320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17893916651520).

14304252243320 is an abundant number, since it is smaller than the sum of its proper divisors (21483581059720).

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

14304252243320 is a wasteful number, since it uses less digits than its factorization.

14304252243320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234565 (or 234561 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 14304252243320 its reverse (2334225240341), we get a palindrome (16638477483661).

The spelling of 14304252243320 in words is "fourteen trillion, three hundred four billion, two hundred fifty-two million, two hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 248 260 310 403 520 620 806 1240 1612 2015 3224 3847 4030 7694 8060 15388 16120 19235 30776 38470 50011 76940 100022 119257 153880 200044 230663 238514 250055 400088 461326 477028 500110 596285 922652 954056 1000220 1153315 1192570 1550341 1845304 2000440 2306630 2385140 2998619 3100682 4613260 4770280 5997238 6201364 7150553 7751705 9226520 11994476 12402728 14301106 14993095 15503410 23988952 28602212 29986190 31006820 35752765 57204424 59972380 62013640 71505530 92957189 119944760 143011060 185914378 286022120 371828756 464785945 743657512 887360561 929571890 1774721122 1859143780 3549442244 3718287560 4436802805 7098884488 8873605610 11535687293 17747211220 23071374586 27508177391 35494422440 46142749172 55016354782 57678436465 92285498344 110032709564 115356872930 137540886955 220065419128 230713745860 275081773910 357606306083 461427491720 550163547820 715212612166 1100327095640 1430425224332 1788031530415 2860850448664 3576063060830 7152126121660 14304252243320