Search a number
-
+
13244010416 = 24713101113797
BaseRepresentation
bin11000101010110011…
…11000111110110000
31021011222221102211022
430111121320332300
5204110431313131
610030105035012
7646125142160
oct142531707660
937158842738
1013244010416
11568699805a
122697485a68
131330ac8070
148d8d265a0
15527aa137b
hex315678fb0

13244010416 has 160 divisors (see below), whose sum is σ = 32217187968. Its totient is φ = 5135155200.

The previous prime is 13244010407. The next prime is 13244010421. The reversal of 13244010416 is 61401044231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 16616930 + ... + 16617726.

Almost surely, 213244010416 is an apocalyptic number.

13244010416 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 13244010416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16108593984).

13244010416 is an abundant number, since it is smaller than the sum of its proper divisors (18973177552).

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

13244010416 is a wasteful number, since it uses less digits than its factorization.

13244010416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 13244010416 its reverse (61401044231), we get a palindrome (74645054647).

The spelling of 13244010416 in words is "thirteen billion, two hundred forty-four million, ten thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 101 104 112 113 182 202 208 226 364 404 452 707 728 791 797 808 904 1313 1414 1456 1469 1582 1594 1616 1808 2626 2828 2938 3164 3188 5252 5579 5656 5876 6328 6376 9191 10283 10361 10504 11158 11312 11413 11752 12656 12752 18382 20566 20722 21008 22316 22826 23504 36764 41132 41444 44632 45652 72527 73528 79891 80497 82264 82888 89264 90061 91304 145054 147056 148369 159782 160994 164528 165776 180122 182608 290108 296738 319564 321988 360244 563479 580216 593476 630427 639128 643976 720488 1038583 1046461 1126958 1160432 1170793 1186952 1260854 1278256 1287952 1440976 2077166 2092922 2253916 2341586 2373904 2521708 4154332 4185844 4507832 4683172 5043416 7325227 8195551 8308664 8371688 9015664 9096161 9366344 10086832 14650454 16391102 16617328 16743376 18192322 18732688 29300908 32782204 36384644 58601816 63673127 65564408 72769288 117203632 118250093 127346254 131128816 145538576 236500186 254692508 473000372 509385016 827750651 946000744 1018770032 1655501302 1892001488 3311002604 6622005208 13244010416