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43024134201114 = 23112472861440717
BaseRepresentation
bin10011100100001010101100…
…01111000101111100011010
312122100001210212221201210010
421302011112033011330122
521114401411323413424
6231301003035302350
712030251103450153
oct1162052617057432
9178301725851703
1043024134201114
1112788484135300
1249aa4475aa9b6
131b0120a150731
14a8a54478292a
154e9253110229
hex2721563c5f1a

43024134201114 has 96 divisors (see below), whose sum is σ = 96628345244928. Its totient is φ = 12755731331200.

The previous prime is 43024134201107. The next prime is 43024134201133. The reversal of 43024134201114 is 41110243142034.

It is a happy number.

43024134201114 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 2×430241342011142 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97402684 + ... + 97843400.

It is an arithmetic number, because the mean of its divisors is an integer number (1006545262968).

Almost surely, 243024134201114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43024134201114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48314172622464).

43024134201114 is an abundant number, since it is smaller than the sum of its proper divisors (53604211043814).

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

43024134201114 is a wasteful number, since it uses less digits than its factorization.

43024134201114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443652 (or 443641 counting only the distinct ones).

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

Adding to 43024134201114 its reverse (41110243142034), we get a palindrome (84134377343148).

The spelling of 43024134201114 in words is "forty-three trillion, twenty-four billion, one hundred thirty-four million, two hundred one thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 22 33 47 66 94 121 141 242 282 363 517 726 1034 1551 2861 3102 5687 5722 8583 11374 17061 17166 31471 34122 62942 94413 134467 188826 268934 346181 403401 440717 692362 806802 881434 1038543 1322151 1479137 2077086 2644302 2958274 4437411 4847887 8874822 9695774 14543661 16270507 20713699 29087322 32541014 41427398 48811521 53326757 62141097 97623042 106653514 124282194 159980271 227850689 319960542 455701378 683552067 1260891337 1367104134 2506357579 2521782674 3782674011 5012715158 7519072737 7565348022 13869804707 15038145474 27739609414 41609414121 59261892839 83218828242 118523785678 152567851777 177785678517 305135703554 355571357034 457703555331 651880821229 915407110662 1303761642458 1955642463687 3911284927374 7170689033519 14341378067038 21512067100557 43024134201114