Search a number
-
+
30316615744 = 2623121316979
BaseRepresentation
bin11100001111000000…
…101101100001000000
32220020211001122112011
4130033000231201000
5444042023200434
621532142142304
72122162660552
oct341700554100
986224048464
1030316615744
1111947a37138
125a60b81994
132b21b5caac
1416785054d2
15bc681ae64
hex70f02d840

30316615744 has 56 divisors (see below), whose sum is σ = 62830618560. Its totient is φ = 14486444544.

The previous prime is 30316615727. The next prime is 30316615789. The reversal of 30316615744 is 44751661303.

It is a junction number, because it is equal to n+sod(n) for n = 30316615697 and 30316615706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1777047 + ... + 1794025.

Almost surely, 230316615744 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 30316615744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31415309280).

30316615744 is an abundant number, since it is smaller than the sum of its proper divisors (32514002816).

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

30316615744 is a wasteful number, since it uses less digits than its factorization.

30316615744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18227 (or 18217 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 30316615744 in words is "thirty billion, three hundred sixteen million, six hundred fifteen thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 736 1213 1472 2426 4852 9704 16979 19408 27899 33958 38816 55798 67916 77632 111596 135832 223192 271664 390517 446384 543328 781034 892768 1086656 1562068 1785536 3124136 6248272 12496544 20595527 24993088 41191054 82382108 164764216 329528432 473697121 659056864 947394242 1318113728 1894788484 3789576968 7579153936 15158307872 30316615744