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42444240022205 = 5729713793713913
BaseRepresentation
bin10011010011010010100011…
…10110010110101010111101
312120021122000001202012210022
421221221101312112222331
521030401300421202310
6230134340434421525
711640331556324300
oct1151512166265275
9176248001665708
1042444240022205
1112584556a7877a
124915b8a1318a5
131a8b622a9c0a8
14a6a45288cb37
154d9113462a55
hex269a51d96abd

42444240022205 has 96 divisors (see below), whose sum is σ = 60365125177056. Its totient is φ = 28561751801856.

The previous prime is 42444240022201. The next prime is 42444240022237. The reversal of 42444240022205 is 50222004244424.

It can be written as a sum of positive squares in 16 ways, for example, as 15486161080516 + 26958078941689 = 3935246^2 + 5192117^2 .

It is not a de Polignac number, because 42444240022205 - 22 = 42444240022201 is a prime.

It is a super-2 number, since 2×424442400222052 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42444240022201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3050682329 + ... + 3050696241.

It is an arithmetic number, because the mean of its divisors is an integer number (628803387261).

Almost surely, 242444240022205 is an apocalyptic number.

It is an amenable number.

42444240022205 is a deficient number, since it is larger than the sum of its proper divisors (17920885154851).

42444240022205 is a wasteful number, since it uses less digits than its factorization.

42444240022205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15103 (or 15096 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 35.

Adding to 42444240022205 its reverse (50222004244424), we get a palindrome (92666244266629).

The spelling of 42444240022205 in words is "forty-two trillion, four hundred forty-four billion, two hundred forty million, twenty-two thousand, two hundred five".

Divisors: 1 5 7 35 49 97 137 245 485 679 685 937 959 3395 4685 4753 4795 6559 6713 13289 13913 23765 32795 33565 45913 66445 69565 90889 93023 97391 128369 229565 454445 465115 486955 636223 641845 651161 681737 898583 1349561 1906081 3181115 3255805 3408685 4453561 4492915 6290081 6747805 9446927 9530405 12451793 13036481 13342567 22267805 31450405 47234635 62258965 65182405 66128489 66712835 87162551 91255367 93397969 184889857 330642445 435812755 456276835 466989845 610137857 638787569 924449285 1264538657 1294228999 1785997897 3050689285 3193937845 6322693285 6471144995 8851770599 8929989485 9059602993 12501985279 44258852995 45298014965 61962394193 62509926395 87513896953 173241796009 309811970965 437569484765 866208980045 1212692572063 6063462860315 8488848004441 42444240022205