Search a number
-
+
12431034240 = 2735191492287
BaseRepresentation
bin10111001001111001…
…01000011110000000
31012002100011222011120
423210330220132000
5200424321043430
65413304112240
7620024022222
oct134474503600
935070158146
1012431034240
1152a9aa4019
1224ab165680
131231550a81
1485cd80412
154cb514610
hex2e4f28780

12431034240 has 256 divisors, whose sum is σ = 42007680000. Its totient is φ = 3118030848.

The previous prime is 12431034211. The next prime is 12431034257. The reversal of 12431034240 is 4243013421.

It is a super-2 number, since 2×124310342402 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12431034240.

It is a congruent 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, 5434377 + ... + 5436663.

It is an arithmetic number, because the mean of its divisors is an integer number (164092500).

Almost surely, 212431034240 is an apocalyptic number.

12431034240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12431034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21003840000).

12431034240 is an abundant number, since it is smaller than the sum of its proper divisors (29576645760).

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

12431034240 is a wasteful number, since it uses less digits than its factorization.

12431034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2477 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12431034240 its reverse (4243013421), we get a palindrome (16674047661).

The spelling of 12431034240 in words is "twelve billion, four hundred thirty-one million, thirty-four thousand, two hundred forty".