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43434043434 = 232191011279901
BaseRepresentation
bin101000011100110111…
…101110100000101010
311011002222211000111100
4220130313232200222
51202423103342214
631541530142230
73065223164145
oct503467564052
9134088730440
1043434043434
1117469426771
128501b81976
134132667922
1421606bb05c
1511e3216309
hexa1cdee82a

43434043434 has 96 divisors (see below), whose sum is σ = 100838799360. Its totient is φ = 13471920000.

The previous prime is 43434043397. The next prime is 43434043441.

43434043434 is nontrivially palindromic in base 10.

43434043434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×434340434342 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4381884 + ... + 4391784.

It is an arithmetic number, because the mean of its divisors is an integer number (1050404160).

Almost surely, 243434043434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43434043434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50419399680).

43434043434 is an abundant number, since it is smaller than the sum of its proper divisors (57404755926).

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

43434043434 is a wasteful number, since it uses less digits than its factorization.

43434043434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10156 (or 10153 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

It can be divided in two parts, 434340 and 43434, that added together give a palindrome (477774).

The spelling of 43434043434 in words is "forty-three billion, four hundred thirty-four million, forty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 38 57 101 114 127 171 202 254 303 342 381 606 762 909 1143 1818 1919 2286 2413 3838 4826 5757 7239 9901 11514 12827 14478 17271 19802 21717 25654 29703 34542 38481 43434 59406 76962 89109 115443 178218 188119 230886 243713 376238 487426 564357 731139 1000001 1128714 1257427 1462278 1693071 2000002 2193417 2514854 3000003 3386142 3772281 4386834 6000006 7544562 9000009 11316843 18000018 19000019 22633686 23891113 38000038 47782226 57000057 71673339 114000114 127000127 143346678 171000171 215020017 254000254 342000342 381000381 430040034 762000762 1143001143 2286002286 2413002413 4826004826 7239007239 14478014478 21717021717 43434043434