Search a number
-
+
5431344624 = 243312572557
BaseRepresentation
bin1010000111011101…
…11011110111110000
3112000112000220011000
411003232323313300
542110411011444
62254540322000
7251410444656
oct50356736760
915015026130
105431344624
112337941672
121076b43300
136873261b4
143974a4dd6
1521bc5c469
hex143bbbdf0

5431344624 has 40 divisors (see below), whose sum is σ = 15589971920. Its totient is φ = 1810448064.

The previous prime is 5431344623. The next prime is 5431344647. The reversal of 5431344624 is 4264431345.

5431344624 is a `hidden beast` number, since 543 + 13 + 44 + 62 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5431344623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6285847 + ... + 6286710.

It is an arithmetic number, because the mean of its divisors is an integer number (389749298).

Almost surely, 25431344624 is an apocalyptic number.

5431344624 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5431344624 is an abundant number, since it is smaller than the sum of its proper divisors (10158627296).

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

5431344624 is a wasteful number, since it uses less digits than its factorization.

5431344624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12572574 (or 12572562 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 5431344624 is about 73697.6568419919. The cubic root of 5431344624 is about 1757.7986233941.

Adding to 5431344624 its reverse (4264431345), we get a palindrome (9695775969).

The spelling of 5431344624 in words is "five billion, four hundred thirty-one million, three hundred forty-four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 12572557 25145114 37717671 50290228 75435342 100580456 113153013 150870684 201160912 226306026 301741368 339459039 452612052 603482736 678918078 905224104 1357836156 1810448208 2715672312 5431344624