Search a number
-
+
30014132004 = 2232833725889
BaseRepresentation
bin11011111100111110…
…110100111100100100
32212110201212212211200
4123330332310330210
5442432104211004
621442135002500
72111530625013
oct337476647444
985421785750
1030014132004
111180221667a
125997809430
132aa42a262c
14164a286a7a
15ba9ebb239
hex6fcfb4f24

30014132004 has 18 divisors (see below), whose sum is σ = 75869055990. Its totient is φ = 10004710656.

The previous prime is 30014131951. The next prime is 30014132051. The reversal of 30014132004 is 40023141003.

30014132004 is a `hidden beast` number, since 300 + 1 + 41 + 320 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20207191104 + 9806940900 = 142152^2 + 99030^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 416862909 + ... + 416862980.

It is an arithmetic number, because the mean of its divisors is an integer number (4214947555).

Almost surely, 230014132004 is an apocalyptic number.

It is an amenable number.

30014132004 is an abundant number, since it is smaller than the sum of its proper divisors (45854923986).

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

30014132004 is a wasteful number, since it uses less digits than its factorization.

30014132004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833725899 (or 833725894 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 30014132004 its reverse (40023141003), we get a palindrome (70037273007).

The spelling of 30014132004 in words is "thirty billion, fourteen million, one hundred thirty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 833725889 1667451778 2501177667 3334903556 5002355334 7503533001 10004710668 15007066002 30014132004