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13643080241344 = 2631127227238529
BaseRepresentation
bin1100011010001000011011…
…1100111001000011000000
31210022021011201102121000221
43012202012330321003000
53242012012020210334
645003313341552424
72605452150432601
oct306420674710300
953267151377027
1013643080241344
11438aaa8138234
121644153b75714
1377c6c9895898
143524859a9da8
15189d4b6308b4
hexc6886f390c0

13643080241344 has 112 divisors (see below), whose sum is σ = 28290558689280. Its totient is φ = 6520630394880.

The previous prime is 13643080241311. The next prime is 13643080241359. The reversal of 13643080241344 is 44314208034631.

It is a super-2 number, since 2×136430802413442 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13643080241344.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57077472 + ... + 57316000.

Almost surely, 213643080241344 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 13643080241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14145279344640).

13643080241344 is an abundant number, since it is smaller than the sum of its proper divisors (14647478447936).

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

13643080241344 is a wasteful number, since it uses less digits than its factorization.

13643080241344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238926 (or 238916 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 43.

Adding to 13643080241344 its reverse (44314208034631), we get a palindrome (57957288275975).

The spelling of 13643080241344 in words is "thirteen trillion, six hundred forty-three billion, eighty million, two hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 127 227 248 254 454 496 508 908 992 1016 1816 1984 2032 3632 3937 4064 7037 7264 7874 8128 14074 14528 15748 28148 28829 31496 56296 57658 62992 112592 115316 125984 225184 230632 238529 251968 450368 461264 477058 893699 922528 954116 1787398 1845056 1908232 3574796 3816464 7149592 7394399 7632928 14299184 14788798 15265856 28598368 29577596 30293183 54146083 57196736 59155192 60586366 108292166 118310384 121172732 216584332 236620768 242345464 433168664 473241536 484690928 866337328 939088673 969381856 1678528573 1732674656 1878177346 1938763712 3357057146 3465349312 3756354692 6714114292 6876552541 7512709384 13428228584 13753105082 15025418768 26856457168 27506210164 30050837536 53712914336 55012420328 60101675072 107425828672 110024840656 213173128771 220049681312 426346257542 440099362624 852692515084 1705385030168 3410770060336 6821540120672 13643080241344