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30214244004 = 22371315634877
BaseRepresentation
bin11100001000111010…
…001100011010100100
32212222200102121220020
4130020322030122210
5443334321302004
621514044035140
72116510556640
oct341072143244
985880377806
1030214244004
11118a517579a
125a32832ab0
132b068988b9
141668a97c20
15bbc8488d9
hex708e8c6a4

30214244004 has 96 divisors (see below), whose sum is σ = 81347245056. Its totient is φ = 8549773440.

The previous prime is 30214243931. The next prime is 30214244033. The reversal of 30214244004 is 40044241203.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6192814 + ... + 6197690.

It is an arithmetic number, because the mean of its divisors is an integer number (847367136).

Almost surely, 230214244004 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 30214244004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40673622528).

30214244004 is an abundant number, since it is smaller than the sum of its proper divisors (51133001052).

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

30214244004 is a wasteful number, since it uses less digits than its factorization.

30214244004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5585 (or 5583 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 30214244004 its reverse (40044241203), we get a palindrome (70258485207).

The spelling of 30214244004 in words is "thirty billion, two hundred fourteen million, two hundred forty-four thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 131 262 393 524 563 786 917 1126 1572 1689 1834 2252 2751 3378 3668 3941 4877 5502 6756 7882 9754 11004 11823 14631 15764 19508 23646 29262 34139 47292 58524 68278 73753 102417 136556 147506 204834 221259 295012 409668 442518 516271 638887 885036 1032542 1277774 1548813 1916661 2065084 2555548 2745751 3097626 3833322 4472209 5491502 6195252 7666644 8237253 8944418 10983004 13416627 16474506 17888836 19220257 26833254 32949012 38440514 53666508 57660771 76881028 115321542 230643084 359693381 719386762 1079080143 1438773524 2158160286 2517853667 4316320572 5035707334 7553561001 10071414668 15107122002 30214244004