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13144230414 = 2327136176649
BaseRepresentation
bin11000011110111010…
…10000101000001110
31020221001012002101200
430033131100220032
5203404410333124
610012142250330
7643504054320
oct141735205016
936831162350
1013144230414
115635636947
122669b869a6
131316230743
148c9991610
1551de41bc9
hex30f750a0e

13144230414 has 48 divisors (see below), whose sum is σ = 32571957600. Its totient is φ = 3752686080.

The previous prime is 13144230403. The next prime is 13144230431. The reversal of 13144230414 is 41403244131.

13144230414 is a `hidden beast` number, since 1 + 3 + 14 + 4 + 230 + 414 = 666.

It is a super-2 number, since 2×131442304142 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133162 + ... + 209810.

It is an arithmetic number, because the mean of its divisors is an integer number (678582450).

Almost surely, 213144230414 is an apocalyptic number.

13144230414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13144230414 is an abundant number, since it is smaller than the sum of its proper divisors (19427727186).

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

13144230414 is a wasteful number, since it uses less digits than its factorization.

13144230414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78025 (or 78022 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13144230414 its reverse (41403244131), we get a palindrome (54547474545).

The spelling of 13144230414 in words is "thirteen billion, one hundred forty-four million, two hundred thirty thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1361 2722 4083 8166 9527 12249 19054 24498 28581 57162 76649 85743 153298 171486 229947 459894 536543 689841 1073086 1379682 1609629 3219258 4828887 9657774 104319289 208638578 312957867 625915734 730235023 938873601 1460470046 1877747202 2190705069 4381410138 6572115207 13144230414