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14134251222 = 23371311932411
BaseRepresentation
bin11010010100111011…
…11000111011010110
31100111001002100122000
431022131320323112
5212421332014342
610254310020130
71010155103340
oct151235707326
940431070560
1014134251222
115aa3464163
1228a5647646
131443385680
14981262290
1557ad0144c
hex34a778ed6

14134251222 has 128 divisors (see below), whose sum is σ = 38706232320. Its totient is φ = 3723045120.

The previous prime is 14134251169. The next prime is 14134251223. The reversal of 14134251222 is 22215243141.

14134251222 is a `hidden beast` number, since 1 + 4 + 13 + 425 + 1 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14134251223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5861197 + ... + 5863607.

It is an arithmetic number, because the mean of its divisors is an integer number (302392440).

Almost surely, 214134251222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14134251222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19353116160).

14134251222 is an abundant number, since it is smaller than the sum of its proper divisors (24571981098).

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

14134251222 is a wasteful number, since it uses less digits than its factorization.

14134251222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3635 (or 3629 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

Adding to 14134251222 its reverse (22215243141), we get a palindrome (36349494363).

It can be divided in two parts, 14134 and 251222, that added together give a triangular number (265356 = T728).

The spelling of 14134251222 in words is "fourteen billion, one hundred thirty-four million, two hundred fifty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 1193 1638 2386 2411 2457 3579 4822 4914 7158 7233 8351 10737 14466 15509 16702 16877 21474 21699 25053 31018 31343 32211 33754 43398 46527 50106 50631 62686 64422 65097 75159 93054 94029 101262 108563 130194 139581 150318 151893 188058 217126 219401 225477 279162 282087 303786 325689 418743 438802 450954 455679 564174 651378 658203 837486 846261 911358 977067 1316406 1692522 1954134 1974609 2876323 2931201 3949218 5752646 5862402 5923827 8628969 11847654 17257938 20134261 25886907 37392199 40268522 51773814 60402783 74784398 77660721 112176597 120805566 155321442 181208349 224353194 261745393 336529791 362416698 523490786 543625047 673059582 785236179 1009589373 1087250094 1570472358 2019178746 2355708537 4711417074 7067125611 14134251222