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41023345440105 = 32571713755917923
BaseRepresentation
bin10010101001111011111011…
…11011101011010101101001
312101020210102110220200010100
421110331331323223111221
520334111302413040410
6223125510440340013
711432560512545250
oct1124757573532551
9171223373820110
1041023345440105
11120869a302a716
124726723474609
1319b763c36cc92
14a1b77d251797
154b21a0c7a8c0
hex254f7deeb569

41023345440105 has 96 divisors (see below), whose sum is σ = 86673676886784. Its totient is φ = 17521545351168.

The previous prime is 41023345440089. The next prime is 41023345440107. The reversal of 41023345440105 is 50104454332014.

41023345440105 is a `hidden beast` number, since 4 + 1 + 0 + 2 + 3 + 3 + 4 + 544 + 0 + 105 = 666.

It is not a de Polignac number, because 41023345440105 - 24 = 41023345440089 is a prime.

It is a super-2 number, since 2×410233454401052 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 41023345440105.

It is not an unprimeable number, because it can be changed into a prime (41023345440107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27225327 + ... + 28692596.

It is an arithmetic number, because the mean of its divisors is an integer number (902850800904).

Almost surely, 241023345440105 is an apocalyptic number.

41023345440105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41023345440105 is an abundant number, since it is smaller than the sum of its proper divisors (45650331446679).

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

41023345440105 is a wasteful number, since it uses less digits than its factorization.

41023345440105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55918095 (or 55918092 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 41023345440105 its reverse (50104454332014), we get a palindrome (91127799772119).

The spelling of 41023345440105 in words is "forty-one trillion, twenty-three billion, three hundred forty-five million, four hundred forty thousand, one hundred five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 137 153 255 315 357 411 595 685 765 959 1071 1233 1785 2055 2329 2877 4795 5355 6165 6987 8631 11645 14385 16303 20961 34935 43155 48909 81515 104805 146727 244545 733635 55917923 167753769 279589615 391425461 503261307 838768845 950604691 1174276383 1957127305 2516306535 2851814073 3522829149 4753023455 5871381915 6654232837 7660755451 8555442219 14259070365 17614145745 19962698511 22982266353 33271164185 38303777255 42777211095 53625288157 59888095533 68946799059 99813492555 114911331765 130232842667 160875864471 268126440785 299440477665 344733995295 390698528001 482627593413 651164213335 804379322355 911629898669 1172095584003 1953492640005 2413137967065 2734889696007 4558149493345 5860477920015 8204669088021 13674448480035 41023345440105