Search a number
-
+
30020414424 = 233711133733773
BaseRepresentation
bin11011111101010110…
…110010101111011000
32212111011201001200220
4123331112302233120
5442440211230144
621442521400040
72111635212060
oct337526625730
985434631626
1030020414424
1111805817760
125999939020
132aa5692040
14164b0403a0
15baa80c919
hex6fd5b2bd8

30020414424 has 256 divisors, whose sum is σ = 103494343680. Its totient is φ = 7002961920.

The previous prime is 30020414419. The next prime is 30020414441. The reversal of 30020414424 is 42441402003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 30020414394 and 30020414403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 872002 + ... + 905774.

It is an arithmetic number, because the mean of its divisors is an integer number (404274780).

Almost surely, 230020414424 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 30020414424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51747171840).

30020414424 is an abundant number, since it is smaller than the sum of its proper divisors (73473929256).

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

30020414424 is a wasteful number, since it uses less digits than its factorization.

30020414424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33850 (or 33846 counting only the distinct ones).

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

Adding to 30020414424 its reverse (42441402003), we get a palindrome (72461816427).

It can be divided in two parts, 30020 and 414424, that added together give a palindrome (444444).

The spelling of 30020414424 in words is "thirty billion, twenty million, four hundred fourteen thousand, four hundred twenty-four".