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30313114304 = 2611223293659
BaseRepresentation
bin11100001110110011…
…010110101011000000
32220020120110202110012
4130032303112223000
5444040124124204
621531535124052
72122121135354
oct341663265300
986216422405
1030313114304
1111945a65490
125a5b973628
132b21205135
141677c73464
15bc637876e
hex70ecd6ac0

30313114304 has 112 divisors (see below), whose sum is σ = 66240599040. Its totient is φ = 13649341440.

The previous prime is 30313114267. The next prime is 30313114327. The reversal of 30313114304 is 40341131303.

It is a self number, because there is not a number n which added to its sum of digits gives 30313114304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45998327 + ... + 45998985.

It is an arithmetic number, because the mean of its divisors is an integer number (591433920).

Almost surely, 230313114304 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 30313114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33120299520).

30313114304 is an abundant number, since it is smaller than the sum of its proper divisors (35927484736).

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

30313114304 is a wasteful number, since it uses less digits than its factorization.

30313114304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 30313114304 its reverse (40341131303), we get a palindrome (70654245607).

The spelling of 30313114304 in words is "thirty billion, three hundred thirteen million, one hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 223 293 352 446 586 659 704 892 1172 1318 1784 2344 2453 2636 3223 3568 4688 4906 5272 6446 7136 7249 9376 9812 10544 12892 14272 14498 18752 19624 21088 25784 28996 39248 42176 51568 57992 65339 78496 103136 115984 130678 146957 156992 193087 206272 231968 261356 293914 386174 463936 522712 587828 718729 772348 1045424 1175656 1437458 1544696 1616527 2090848 2123957 2351312 2874916 3089392 3233054 4181696 4247914 4702624 5749832 6178784 6466108 8495828 9405248 11499664 12357568 12932216 16991656 22999328 25864432 33983312 43058401 45998656 51728864 67966624 86116802 103457728 135933248 172233604 344467208 473642411 688934416 947284822 1377868832 1894569644 2755737664 3789139288 7578278576 15156557152 30313114304