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13144214466 = 23311313915497
BaseRepresentation
bin11000011110111010…
…01100101111000010
31020221001011021112000
430033131030233002
5203404404330331
610012142044430
7643503656655
oct141735145702
936831137460
1013144214466
115635625969
122669b79716
1313162263c6
148c998989c
1551de3c0e6
hex30f74cbc2

13144214466 has 64 divisors (see below), whose sum is σ = 29681769600. Its totient is φ = 4311111168.

The previous prime is 13144214453. The next prime is 13144214543. The reversal of 13144214466 is 66441244131.

13144214466 is a `hidden beast` number, since 13 + 1 + 442 + 144 + 66 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13144214466.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 840430 + ... + 855926.

It is an arithmetic number, because the mean of its divisors is an integer number (463777650).

Almost surely, 213144214466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13144214466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14840884800).

13144214466 is an abundant number, since it is smaller than the sum of its proper divisors (16537555134).

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

13144214466 is a wasteful number, since it uses less digits than its factorization.

13144214466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15760 (or 15754 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 13144214466 its reverse (66441244131), we get a palindrome (79585458597).

The spelling of 13144214466 in words is "thirteen billion, one hundred forty-four million, two hundred fourteen thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 113 139 226 278 339 417 678 834 1017 1251 2034 2502 3051 3753 6102 7506 15497 15707 30994 31414 46491 47121 92982 94242 139473 141363 278946 282726 418419 424089 836838 848178 1751161 2154083 3502322 4308166 5253483 6462249 10506966 12924498 15760449 19386747 31520898 38773494 47281347 58160241 94562694 116320482 243411379 486822758 730234137 1460468274 2190702411 4381404822 6572107233 13144214466