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431421124134 = 2371113372398123
BaseRepresentation
bin1100100011100101011…
…00111110111000100110
31112020120110221212012010
412101302230332320212
524032022301433014
6530105255535050
743112006022630
oct6216254767046
91466513855163
10431421124134
11156a67a82a90
126b74208a486
13318b5269ba0
1416c4925ba50
15b35018b359
hex6472b3ee26

431421124134 has 256 divisors, whose sum is σ = 1194937712640. Its totient is φ = 100208586240.

The previous prime is 431421124103. The next prime is 431421124139.

It is a happy number.

431421124134 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4314211241342 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431421124139) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53106997 + ... + 53115119.

It is an arithmetic number, because the mean of its divisors is an integer number (4667725440).

Almost surely, 2431421124134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431421124134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597468856320).

431421124134 is an abundant number, since it is smaller than the sum of its proper divisors (763516588506).

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

431421124134 is a wasteful number, since it uses less digits than its factorization.

431421124134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8435.

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 431421 and 124134, that added together give a palindrome (555555).

The spelling of 431421124134 in words is "four hundred thirty-one billion, four hundred twenty-one million, one hundred twenty-four thousand, one hundred thirty-four".