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41133340333134 = 23272787222126681
BaseRepresentation
bin10010101101001000110100…
…01000111001010001001110
312101122022100012201012001100
421112210122020321101032
520342412040111130014
6223252221244523530
711443533342655500
oct1126443210712116
9171568305635040
1041133340333134
1112119608301895
124743b005505a6
1319c4b1b79c4ba
14a22c158a5d70
154b4e8c6b5009
hex25691a23944e

41133340333134 has 144 divisors (see below), whose sum is σ = 103855168484496. Its totient is φ = 11731725331200.

The previous prime is 41133340333093. The next prime is 41133340333153. The reversal of 41133340333134 is 43133304333114.

41133340333134 is a `hidden beast` number, since 4 + 1 + 1 + 3 + 334 + 0 + 3 + 3 + 313 + 4 = 666.

It is a super-2 number, since 2×411333403331342 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1541658274 + ... + 1541684954.

It is an arithmetic number, because the mean of its divisors is an integer number (721216447809).

Almost surely, 241133340333134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41133340333134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51927584242248).

41133340333134 is an abundant number, since it is smaller than the sum of its proper divisors (62721828151362).

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

41133340333134 is a wasteful number, since it uses less digits than its factorization.

41133340333134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29711 (or 29701 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 36.

Adding to 41133340333134 its reverse (43133304333114), we get a palindrome (84266644666248).

The spelling of 41133340333134 in words is "forty-one trillion, one hundred thirty-three billion, three hundred forty million, three hundred thirty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 787 882 1574 2221 2361 4442 4722 5509 6663 7083 11018 13326 14166 15547 16527 19989 26681 31094 33054 38563 39978 46641 49581 53362 77126 80043 93282 99162 108829 115689 139923 160086 186767 217658 231378 240129 279846 326487 347067 373534 480258 560301 652974 694134 979461 1120602 1307369 1680903 1747927 1958922 2614738 3361806 3495854 3922107 5243781 7844214 10487562 11766321 12235489 15731343 20997947 23532642 24470978 31462686 36706467 41995894 59258501 62993841 73412934 85648423 110119401 118517002 125987682 146985629 171296846 177775503 188981523 220238802 256945269 293971258 355551006 377963046 414809507 440956887 513890538 533326509 770835807 829619014 881913774 1028899403 1066653018 1244428521 1322870661 1541671614 2057798806 2488857042 2645741322 2903666549 3086698209 3733285563 5807333098 6173396418 7466571126 8710999647 9260094627 17421999294 18520189254 26132998941 46636440287 52265997882 93272880574 139909320861 279818641722 326455082009 419727962583 652910164018 839455925166 979365246027 1958730492054 2285185574063 2938095738081 4570371148126 5876191476162 6855556722189 13711113444378 20566670166567 41133340333134