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21324241314 = 2322947218493
BaseRepresentation
bin10011110111000001…
…100001100110100010
32001001010022200211100
4103313001201212202
5322133001210224
613443552255230
71353302026515
oct236701414642
961033280740
1021324241314
119052a84132
124171541516
13201ab4c68c
141064116d7c
1584c148ac9
hex4f70619a2

21324241314 has 72 divisors (see below), whose sum is σ = 48836920860. Its totient is φ = 6716590272.

The previous prime is 21324241249. The next prime is 21324241319. The reversal of 21324241314 is 41314242312.

21324241314 is a `hidden beast` number, since 2 + 1 + 3 + 242 + 413 + 1 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21297024225 + 27217089 = 145935^2 + 5217^2 .

It is not an unprimeable number, because it can be changed into a prime (21324241319) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1143852 + ... + 1162344.

Almost surely, 221324241314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21324241314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24418460430).

21324241314 is an abundant number, since it is smaller than the sum of its proper divisors (27512679546).

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

21324241314 is a wasteful number, since it uses less digits than its factorization.

21324241314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18624 (or 18574 counting only the distinct ones).

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

Adding to 21324241314 its reverse (41314242312), we get a palindrome (62638483626).

The spelling of 21324241314 in words is "twenty-one billion, three hundred twenty-four million, two hundred forty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 29 47 58 87 94 141 174 261 282 423 522 846 1363 2209 2726 4089 4418 6627 8178 12267 13254 18493 19881 24534 36986 39762 55479 64061 110958 128122 166437 192183 332874 384366 536297 576549 869171 1072594 1153098 1608891 1738342 2607513 3217782 4826673 5215026 7822539 9653346 15645078 25205959 40851037 50411918 75617877 81702074 122553111 151235754 226853631 245106222 367659333 453707262 735318666 1184680073 2369360146 3554040219 7108080438 10662120657 21324241314