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13444403501152 = 2513101503636149
BaseRepresentation
bin1100001110100100010011…
…1001010001100001100000
31202121021100121002110202001
43003221010321101201200
53230233114244014102
644332135041533344
72555216565133111
oct303510471214140
952537317073661
1013444403501152
114313815310788
121611747644254
13766a567667a0
143469d9542208
15184abe443487
hexc3a44e51860

13444403501152 has 96 divisors (see below), whose sum is σ = 28844221694400. Its totient is φ = 6131448883200.

The previous prime is 13444403501129. The next prime is 13444403501167. The reversal of 13444403501152 is 25110530444431.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20815974 + ... + 21452122.

It is an arithmetic number, because the mean of its divisors is an integer number (300460642650).

Almost surely, 213444403501152 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 13444403501152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14422110847200).

13444403501152 is an abundant number, since it is smaller than the sum of its proper divisors (15399818193248).

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

13444403501152 is a wasteful number, since it uses less digits than its factorization.

13444403501152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636776 (or 636768 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

Adding to 13444403501152 its reverse (25110530444431), we get a palindrome (38554933945583).

The spelling of 13444403501152 in words is "thirteen trillion, four hundred forty-four billion, four hundred three million, five hundred one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 101 104 202 208 404 416 503 808 1006 1313 1616 2012 2626 3232 4024 5252 6539 8048 10504 13078 16096 21008 26156 42016 50803 52312 101606 104624 203212 209248 406424 636149 660439 812848 1272298 1320878 1625696 2544596 2641756 5089192 5283512 8269937 10178384 10567024 16539874 20356768 21134048 33079748 64251049 66159496 128502098 132318992 257004196 264637984 319982947 514008392 639965894 835263637 1028016784 1279931788 1670527274 2056033568 2559863576 3341054548 4159778311 5119727152 6682109096 8319556622 10239454304 13364218192 16639113244 26728436384 32318277647 33278226488 64636555294 66556452976 129273110588 133112905952 258546221176 420137609411 517092442352 840275218822 1034184884704 1680550437644 3361100875288 6722201750576 13444403501152