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13441303064 = 23759103127311
BaseRepresentation
bin11001000010010101…
…00000001000011000
31021200202011221110102
430201022200020120
5210011433144224
610101433434532
7654042122330
oct144112401030
937622157412
1013441303064
1157782a0a32
12273156ba48
131362944c87
149172020c0
1553a0734ae
hex3212a0218

13441303064 has 128 divisors (see below), whose sum is σ = 29904076800. Its totient is φ = 5545895040.

The previous prime is 13441303013. The next prime is 13441303067. The reversal of 13441303064 is 46030314431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13441303067) 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, 43219469 + ... + 43219779.

It is an arithmetic number, because the mean of its divisors is an integer number (233625600).

Almost surely, 213441303064 is an apocalyptic number.

13441303064 is a gapful number since it is divisible by the number (14) 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 13441303064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14952038400).

13441303064 is an abundant number, since it is smaller than the sum of its proper divisors (16462773736).

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

13441303064 is a wasteful number, since it uses less digits than its factorization.

13441303064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 13441303064 its reverse (46030314431), we get a palindrome (59471617495).

The spelling of 13441303064 in words is "thirteen billion, four hundred forty-one million, three hundred three thousand, sixty-four".

Divisors: 1 2 4 7 8 14 28 56 59 103 118 127 206 236 254 311 412 413 472 508 622 721 824 826 889 1016 1244 1442 1652 1778 2177 2488 2884 3304 3556 4354 5768 6077 7112 7493 8708 12154 13081 14986 17416 18349 24308 26162 29972 32033 36698 39497 42539 48616 52324 52451 59944 64066 73396 78994 85078 91567 104648 104902 128132 128443 146792 157988 170156 183134 209804 224231 256264 256886 276479 315976 340312 366268 419608 448462 513772 552958 732536 771779 896924 1027544 1105916 1543558 1793848 1889947 2211832 2330323 3087116 3779894 4068191 4660646 5402453 6174232 7559788 8136382 9321292 10804906 13229629 15119576 16272764 16312261 18642584 21609812 26459258 28477337 32545528 32624522 43219624 52918516 56954674 65249044 105837032 113909348 130498088 227818696 240023269 480046538 960093076 1680162883 1920186152 3360325766 6720651532 13441303064