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13244724040560 = 2435117701468869
BaseRepresentation
bin1100000010111100011100…
…0100100101001101110000
31201220011221120221212122120
43000233013010211031300
53214000143323244220
644100313042034240
72534620415542245
oct300570704451560
951804846855576
1013244724040560
114247068482591
12159aabb348980
13750c839871cc
1433b095c5d5cc
1517e7d41d8a40
hexc0bc7125370

13244724040560 has 80 divisors (see below), whose sum is σ = 41059080934560. Its totient is φ = 3531888870400.

The previous prime is 13244724040501. The next prime is 13244724040591. The reversal of 13244724040560 is 6504042744231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×132447240405602 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28013806 + ... + 28482674.

It is an arithmetic number, because the mean of its divisors is an integer number (513238511682).

Almost surely, 213244724040560 is an apocalyptic number.

13244724040560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13244724040560 is an abundant number, since it is smaller than the sum of its proper divisors (27814356894000).

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

13244724040560 is a wasteful number, since it uses less digits than its factorization.

13244724040560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586586 (or 586580 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

Adding to 13244724040560 its reverse (6504042744231), we get a palindrome (19748766784791).

The spelling of 13244724040560 in words is "thirteen trillion, two hundred forty-four billion, seven hundred twenty-four million, forty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 117701 235402 353103 468869 470804 588505 706206 937738 941608 1177010 1406607 1412412 1765515 1875476 1883216 2344345 2354020 2813214 2824824 3531030 3750952 4688690 4708040 5626428 5649648 7033035 7062060 7501904 9377380 9416080 11252856 14066070 14124120 18754760 22505712 28132140 28248240 37509520 56264280 112528560 55186350169 110372700338 165559050507 220745400676 275931750845 331118101014 441490801352 551863501690 662236202028 827795252535 882981602704 1103727003380 1324472404056 1655590505070 2207454006760 2648944808112 3311181010140 4414908013520 6622362020280 13244724040560