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43412344321434 = 23113759304199083
BaseRepresentation
bin10011101111011101110010…
…10111001011010110011010
312200201011211220210011022120
421313232321113023112122
521142231440121241214
6232155204453402110
712100303235152134
oct1167567127132632
9180634756704276
1043412344321434
1112918087680590
124a5172a339336
131b2b9c7015aba
14aa1250bc2054
155043c4940ea9
hex277bb95cb59a

43412344321434 has 128 divisors (see below), whose sum is σ = 98960089512960. Its totient is φ = 12578499532800.

The previous prime is 43412344321433. The next prime is 43412344321469.

43412344321434 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (43412344321433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 438091657 + ... + 438190739.

It is an arithmetic number, because the mean of its divisors is an integer number (773125699320).

Almost surely, 243412344321434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43412344321434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49480044756480).

43412344321434 is an abundant number, since it is smaller than the sum of its proper divisors (55547745191526).

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

43412344321434 is a wasteful number, since it uses less digits than its factorization.

43412344321434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102236.

The product of its digits is 1327104, while the sum is 42.

It can be divided in two parts, 4341234 and 4321434, that added together give a palindrome (8662668).

The spelling of 43412344321434 in words is "forty-three trillion, four hundred twelve billion, three hundred forty-four million, three hundred twenty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 37 59 66 74 111 118 177 222 354 407 649 814 1221 1298 1947 2183 2442 3041 3894 4366 6082 6549 9123 13098 18246 24013 33451 48026 66902 72039 99083 100353 112517 144078 179419 198166 200706 225034 297249 337551 358838 538257 594498 675102 1076514 1089913 1237687 1973609 2179826 2475374 3269739 3666071 3713061 3947218 5845897 5920827 6539478 6638503 7332142 7426122 10998213 11691794 11841654 13277006 17537691 19915509 21996426 35075382 39831018 40326781 64304867 73023533 80653562 120980343 128609734 146047066 192914601 216298189 219070599 241960686 301311403 385829202 432596378 438141198 602622806 648894567 903934209 1297789134 1807868418 2379280079 3314425433 4758560158 6628850866 7137840237 9943276299 11148521911 14275680474 17777372777 19886552598 22297043822 33445565733 35554745554 53332118331 66891131466 106664236662 122633741021 195551100547 245267482042 367901223063 391102201094 586653301641 657762792749 735802446126 1173306603282 1315525585498 1973288378247 3946576756494 7235390720239 14470781440478 21706172160717 43412344321434