Search a number
-
+
13314440242350 = 23252132371959921
BaseRepresentation
bin1100000111000000001001…
…1110110010010010101110
31202010211220020021212120100
43001300002132302102232
53221120433200223400
644152322554131530
72542636145512002
oct301600236622256
952124806255510
1013314440242350
114273693456885
1215b0517120ba6
13757714387410
143405cacbc702
1518151493b100
hexc1c027b24ae

13314440242350 has 144 divisors (see below), whose sum is σ = 38539401539184. Its totient is φ = 3276014976000.

The previous prime is 13314440242343. The next prime is 13314440242361. The reversal of 13314440242350 is 5324204441331.

13314440242350 is a `hidden beast` number, since 1 + 3 + 3 + 14 + 4 + 402 + 4 + 235 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 13390390 + ... + 14350310.

It is an arithmetic number, because the mean of its divisors is an integer number (267634732911).

Almost surely, 213314440242350 is an apocalyptic number.

13314440242350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13314440242350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19269700769592).

13314440242350 is an abundant number, since it is smaller than the sum of its proper divisors (25224961296834).

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

13314440242350 is a wasteful number, since it uses less digits than its factorization.

13314440242350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962323 (or 962315 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 13314440242350 its reverse (5324204441331), we get a palindrome (18638644683681).

The spelling of 13314440242350 in words is "thirteen trillion, three hundred fourteen billion, four hundred forty million, two hundred forty-two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 585 650 975 1170 1950 2371 2925 4742 5850 7113 11855 14226 21339 23710 30823 35565 42678 59275 61646 71130 92469 106695 118550 154115 177825 184938 213390 277407 308230 355650 462345 533475 554814 770575 924690 959921 1066950 1387035 1541150 1919842 2311725 2774070 2879763 4623450 4799605 5759526 6935175 8639289 9599210 12478973 13870350 14398815 17278578 23998025 24957946 28797630 37436919 43196445 47996050 62394865 71994075 74873838 86392890 112310757 124789730 143988150 187184595 215982225 224621514 311974325 374369190 431964450 561553785 623948650 935922975 1123107570 1871845950 2275972691 2807768925 4551945382 5615537850 6827918073 11379863455 13655836146 20483754219 22759726910 29587644983 34139590365 40967508438 56899317275 59175289966 68279180730 88762934949 102418771095 113798634550 147938224915 170697951825 177525869898 204837542190 266288804847 295876449830 341395903650 443814674745 512093855475 532577609694 739691124575 887629349490 1024187710950 1331444024235 1479382249150 2219073373725 2662888048470 4438146747450 6657220121175 13314440242350