Search a number
-
+
13244314024215 = 335313553189069
BaseRepresentation
bin1100000010111010111010…
…1000011111100100010111
31201220010220000102212222000
43000232232220133210113
53213443323342233330
644100204234010343
72534604306502311
oct300565650374427
951803800385860
1013244314024215
114246977a961aa
12159aa05b769b3
13750c19a497a1
1433b05760c7b1
1517e7ad1e7560
hexc0baea1f917

13244314024215 has 64 divisors (see below), whose sum is σ = 24305934643200. Its totient is φ = 6835505846400.

The previous prime is 13244314024199. The next prime is 13244314024259. The reversal of 13244314024215 is 51242041344231.

13244314024215 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 4 + 31 + 402 + 4 + 215 = 666.

It is not a de Polignac number, because 13244314024215 - 24 = 13244314024199 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13244314024215.

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 63 ways as a sum of consecutive naturals, for example, 148652701 + ... + 148741769.

It is an arithmetic number, because the mean of its divisors is an integer number (379780228800).

Almost surely, 213244314024215 is an apocalyptic number.

13244314024215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13244314024215 is a deficient number, since it is larger than the sum of its proper divisors (11061620618985).

13244314024215 is a wasteful number, since it uses less digits than its factorization.

13244314024215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124645 (or 124639 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 13244314024215 its reverse (51242041344231), we get a palindrome (64486355368446).

The spelling of 13244314024215 in words is "thirteen trillion, two hundred forty-four billion, three hundred fourteen million, twenty-four thousand, two hundred fifteen".

Divisors: 1 3 5 9 15 27 31 45 93 135 155 279 465 837 1395 4185 35531 89069 106593 177655 267207 319779 445345 532965 801621 959337 1101461 1336035 1598895 2404863 2761139 3304383 4008105 4796685 5507305 8283417 9913149 12024315 13805695 16521915 24850251 29739447 41417085 49565745 74550753 124251255 148697235 372753765 3164710639 9494131917 15823553195 28482395751 47470659585 85447187253 98106029809 142411978755 294318089427 427235936265 490530149045 882954268281 1471590447135 2648862804843 4414771341405 13244314024215