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434144323344 = 24346719367609
BaseRepresentation
bin1100101000101010000…
…01001010011100010000
31112111121021010201020010
412110111001022130100
524103111421321334
6531235415314520
743236333601134
oct6242501123420
91474537121203
10434144323344
11158135174946
127018207ba40
1331c2a4b6c74
1417026bad3c4
15b45e2a50e9
hex651504a710

434144323344 has 40 divisors (see below), whose sum is σ = 1123941143520. Its totient is φ = 144404885248.

The previous prime is 434144323343. The next prime is 434144323363. The reversal of 434144323344 is 443323441434.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (434144323343) 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, 9661389 + ... + 9706220.

It is an arithmetic number, because the mean of its divisors is an integer number (28098528588).

Almost surely, 2434144323344 is an apocalyptic number.

It is an amenable number.

434144323344 is an abundant number, since it is smaller than the sum of its proper divisors (689796820176).

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

434144323344 is a wasteful number, since it uses less digits than its factorization.

434144323344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19368087 (or 19368081 counting only the distinct ones).

The product of its digits is 663552, while the sum is 39.

Adding to 434144323344 its reverse (443323441434), we get a palindrome (877467764778).

The spelling of 434144323344 in words is "four hundred thirty-four billion, one hundred forty-four million, three hundred twenty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 467 934 1401 1868 2802 3736 5604 7472 11208 22416 19367609 38735218 58102827 77470436 116205654 154940872 232411308 309881744 464822616 929645232 9044673403 18089346806 27134020209 36178693612 54268040418 72357387224 108536080836 144714774448 217072161672 434144323344