Search a number
-
+
43134188143134 = 2311191011093124469
BaseRepresentation
bin10011100111010111101011…
…11101100100001000011110
312122201120212201212020200210
421303223311331210020132
521123202304131040014
6231423323353233250
712041225251514034
oct1163536575441036
9178646781766623
1043134188143134
11128201197788a0
124a07840402826
131b0b6c888609a
14a919c4ba8554
154ec044d10859
hex273af5f6421e

43134188143134 has 128 divisors (see below), whose sum is σ = 100962873792000. Its totient is φ = 12147931584000.

The previous prime is 43134188143099. The next prime is 43134188143157.

43134188143134 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12243052 + ... + 15367520.

It is an arithmetic number, because the mean of its divisors is an integer number (788772451500).

Almost surely, 243134188143134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43134188143134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50481436896000).

43134188143134 is an abundant number, since it is smaller than the sum of its proper divisors (57828685648866).

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

43134188143134 is a wasteful number, since it uses less digits than its factorization.

43134188143134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3124714.

The product of its digits is 1327104, while the sum is 48.

The spelling of 43134188143134 in words is "forty-three trillion, one hundred thirty-four billion, one hundred eighty-eight million, one hundred forty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 101 109 114 202 209 218 303 327 418 606 627 654 1111 1199 1254 1919 2071 2222 2398 3333 3597 3838 4142 5757 6213 6666 7194 11009 11514 12426 21109 22018 22781 33027 42218 45562 63327 66054 68343 121099 126654 136686 209171 242198 363297 418342 627513 726594 1255026 2300881 3124469 4601762 6248938 6902643 9373407 13805286 18746814 34369159 59364911 68738318 103107477 118729822 178094733 206214954 315571369 340567121 356189466 631142738 653014021 681134242 946714107 1021701363 1306028042 1893428214 1959042063 2043402726 3471285059 3746238331 3918084126 5995856011 6470775299 6942570118 7492476662 10413855177 11238714993 11991712022 12941550598 17987568033 19412325897 20827710354 22477429986 34397279221 35975136066 38824651794 65954416121 68794558442 71178528289 103191837663 131908832242 142357056578 197863248363 206383675326 213535584867 378370071431 395726496726 427071169734 653548305199 756740142862 1135110214293 1307096610398 1960644915597 2270220428586 3921289831194 7189031357189 14378062714378 21567094071567 43134188143134