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434222334140 = 225719163241479
BaseRepresentation
bin1100101000110011010…
…10110000000010111100
31112111210200221001220212
412110121222300002330
524103241404143030
6531251243331552
743241301640640
oct6243152600274
91474720831825
10434222334140
11158175207581
12701a4220bb8
1331c406cbaba
14170332b8c20
15b466064595
hex6519ab00bc

434222334140 has 48 divisors (see below), whose sum is σ = 1096982745600. Its totient is φ = 141040636992.

The previous prime is 434222334127. The next prime is 434222334191. The reversal of 434222334140 is 41433222434.

It is a junction number, because it is equal to n+sod(n) for n = 434222334097 and 434222334106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81618080 + ... + 81623399.

It is an arithmetic number, because the mean of its divisors is an integer number (22853807200).

Almost surely, 2434222334140 is an apocalyptic number.

It is an amenable number.

434222334140 is an abundant number, since it is smaller than the sum of its proper divisors (662760411460).

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

434222334140 is a wasteful number, since it uses less digits than its factorization.

434222334140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163241514 (or 163241512 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 434222334140 its reverse (41433222434), we get a palindrome (475655556574).

The spelling of 434222334140 in words is "four hundred thirty-four billion, two hundred twenty-two million, three hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 163241479 326482958 652965916 816207395 1142690353 1632414790 2285380706 3101588101 3264829580 4570761412 5713451765 6203176202 11426903530 12406352404 15507940505 21711116707 22853807060 31015881010 43422233414 62031762020 86844466828 108555583535 217111167070 434222334140