Search a number
-
+
30314241412 = 22721340129669
BaseRepresentation
bin11100001110110111…
…101001110110000100
32220020122121000112221
4130032313221312010
5444040421211122
621532015222124
72122133541400
oct341667516604
986218530487
1030314241412
1111946665284
125a60217944
132b2150b170
141678088100
15bc64ec6c7
hex70ede9d84

30314241412 has 72 divisors (see below), whose sum is σ = 66626121240. Its totient is φ = 11962137600.

The previous prime is 30314241409. The next prime is 30314241439. The reversal of 30314241412 is 21414241303.

It can be written as a sum of positive squares in 4 ways, for example, as 1408801156 + 28905440256 = 37534^2 + 170016^2 .

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 23 ways as a sum of consecutive naturals, for example, 1006914 + ... + 1036582.

It is an arithmetic number, because the mean of its divisors is an integer number (925362795).

Almost surely, 230314241412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30314241412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33313060620).

30314241412 is an abundant number, since it is smaller than the sum of its proper divisors (36311879828).

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

30314241412 is a wasteful number, since it uses less digits than its factorization.

30314241412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30101 (or 30092 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 30314241412 its reverse (21414241303), we get a palindrome (51728482715).

The spelling of 30314241412 in words is "thirty billion, three hundred fourteen million, two hundred forty-one thousand, four hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 401 637 802 1274 1604 2548 2807 5213 5614 10426 11228 19649 20852 29669 36491 39298 59338 72982 78596 118676 145964 207683 255437 385697 415366 510874 771394 830732 1021748 1453781 1542788 2699879 2907562 5399758 5815124 10799516 11897269 18899153 23794538 37798306 47589076 75596612 83280883 154664497 166561766 309328994 333123532 582966181 618657988 1082651479 1165932362 2165302958 2331864724 4330605916 7578560353 15157120706 30314241412