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13130014314432 = 263232973282227
BaseRepresentation
bin1011111100010001000111…
…0101101100111111000000
31201111012212021101000121110
42333010101311230333000
53210110232131030212
643531502330323320
72523416665134651
oct277042165547700
951435767330543
1013130014314432
114202453866534
121580827289540
13743202802512
143356d3379528
1517b81d8c6a3c
hexbf111d6cfc0

13130014314432 has 56 divisors (see below), whose sum is σ = 36250256923776. Its totient is φ = 4186381374208.

The previous prime is 13130014314421. The next prime is 13130014314463. The reversal of 13130014314432 is 23441341003131.

It is a self number, because there is not a number n which added to its sum of digits gives 13130014314432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1486636698 + ... + 1486645529.

It is an arithmetic number, because the mean of its divisors is an integer number (647326016496).

Almost surely, 213130014314432 is an apocalyptic number.

13130014314432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13130014314432 is an abundant number, since it is smaller than the sum of its proper divisors (23120242609344).

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

13130014314432 is a wasteful number, since it uses less digits than its factorization.

13130014314432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2973282265 (or 2973282255 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 13130014314432 its reverse (23441341003131), we get a palindrome (36571355317563).

The spelling of 13130014314432 in words is "thirteen trillion, one hundred thirty billion, fourteen million, three hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 4416 2973282227 5946564454 8919846681 11893128908 17839693362 23786257816 35679386724 47572515632 68385491221 71358773448 95145031264 136770982442 142717546896 190290062528 205156473663 273541964884 285435093792 410312947326 547083929768 570870187584 820625894652 1094167859536 1641251789304 2188335719072 3282503578608 4376671438144 6565007157216 13130014314432