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41114344033301 = 711417310113712893
BaseRepresentation
bin10010101100100101011011…
…10111110000110000010101
312101120111022022211011120212
421112102231313300300111
520342104134033031201
6223235400252135205
711442261526043240
oct1126225567606025
9171514268734525
1041114344033301
111211154a3a3640
12474029a767505
1319c30b2028cb6
14a21d32a12257
154b4729b0babb
hex2564addf0c15

41114344033301 has 128 divisors (see below), whose sum is σ = 54152581819392. Its totient is φ = 30297231360000.

The previous prime is 41114344033297. The next prime is 41114344033307. The reversal of 41114344033301 is 10333044341114.

41114344033301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 41114344033301 - 22 = 41114344033297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41114344033307) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 3188882411 + ... + 3188895303.

It is an arithmetic number, because the mean of its divisors is an integer number (423067045464).

Almost surely, 241114344033301 is an apocalyptic number.

41114344033301 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

41114344033301 is a deficient number, since it is larger than the sum of its proper divisors (13038237786091).

41114344033301 is a wasteful number, since it uses less digits than its factorization.

41114344033301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13263.

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 41114344033301 its reverse (10333044341114), we get a palindrome (51447388374415).

It can be divided in two parts, 411143 and 44033301, that added together give a palindrome (44444444).

The spelling of 41114344033301 in words is "forty-one trillion, one hundred fourteen billion, three hundred forty-four million, thirty-three thousand, three hundred one".

Divisors: 1 7 11 41 73 77 101 137 287 451 511 707 803 959 1111 1507 2993 3157 4141 5617 5621 7373 7777 10001 10549 12893 13837 20951 28987 32923 39319 45551 51611 61787 70007 81103 90251 96859 110011 141823 152207 230461 302293 318857 410041 432509 528613 567317 567721 770077 941189 992761 1010101 1065449 1302193 1766341 2116051 2870287 3325223 3700291 3971219 4510451 5814743 6240487 6588323 7070707 9115351 10353079 11111111 12364387 14324123 19429751 23276561 31573157 38588749 40703201 41414141 43683409 53389913 72419981 72471553 77777777 95060089 100268861 128942893 136008257 178400441 270121243 289898987 373729391 424476239 455555551 506939867 587289043 665420623 796619791 902600251 1045660979 1248803087 1418371823 1962404851 2971333673 3188888857 3897463649 4111023301 5286658613 5576338537 7314418081 7319626853 9928602761 13023232193 13736833957 27282245543 37006610291 42872100139 51200926567 58153244743 80458598891 91162625351 143255554123 300104700973 407072713201 533952519913 563210192237 1002788878861 3737667639391 5873477719043 41114344033301