Search a number
-
+
30314446000 = 245372720849
BaseRepresentation
bin11100001110111000…
…011011110010110000
32220020122222102012021
4130032320123302300
5444040444233000
621532023441224
72122135353016
oct341670336260
986218872167
1030314446000
1111946794a63
125a602b6214
132b21580317
1416780dc8b6
15bc653d11a
hex70ee1bcb0

30314446000 has 80 divisors (see below), whose sum is σ = 73404676800. Its totient is φ = 12108518400.

The previous prime is 30314445979. The next prime is 30314446027. The reversal of 30314446000 is 64441303.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1443576 + ... + 1464424.

It is an arithmetic number, because the mean of its divisors is an integer number (917558460).

Almost surely, 230314446000 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 30314446000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36702338400).

30314446000 is an abundant number, since it is smaller than the sum of its proper divisors (43090230800).

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

30314446000 is a wasteful number, since it uses less digits than its factorization.

30314446000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21599 (or 21583 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 30314446000 its reverse (64441303), we get a palindrome (30378887303).

The spelling of 30314446000 in words is "thirty billion, three hundred fourteen million, four hundred forty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 727 1000 1454 2000 2908 3635 5816 7270 11632 14540 18175 20849 29080 36350 41698 58160 72700 83396 90875 104245 145400 166792 181750 208490 290800 333584 363500 416980 521225 727000 833960 1042450 1454000 1667920 2084900 2606125 4169800 5212250 8339600 10424500 15157223 20849000 30314446 41698000 60628892 75786115 121257784 151572230 242515568 303144460 378930575 606288920 757861150 1212577840 1515722300 1894652875 3031444600 3789305750 6062889200 7578611500 15157223000 30314446000