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44106328051214 = 211131988127913301
BaseRepresentation
bin10100000011101010011100…
…00001000000111000001110
312210011112010211121100211112
422001311032001000320032
521240114224440114324
6233450100053252022
712201401632424222
oct1201651601007016
9183145124540745
1044106328051214
1113065430376330
124b44128034012
131b7c293c0b420
14ac6a87080782
15517490749c0e
hex281d4e040e0e

44106328051214 has 128 divisors (see below), whose sum is σ = 81963708503040. Its totient is φ = 17500665600000.

The previous prime is 44106328051199. The next prime is 44106328051217. The reversal of 44106328051214 is 41215082360144.

It is a happy number.

It is a super-2 number, since 2×441063280512142 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44106328051217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13361503364 + ... + 13361506664.

It is an arithmetic number, because the mean of its divisors is an integer number (640341472680).

Almost surely, 244106328051214 is an apocalyptic number.

44106328051214 is a deficient number, since it is larger than the sum of its proper divisors (37857380451826).

44106328051214 is a wasteful number, since it uses less digits than its factorization.

44106328051214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7018.

The product of its (nonzero) digits is 184320, while the sum is 41.

The spelling of 44106328051214 in words is "forty-four trillion, one hundred six billion, three hundred twenty-eight million, fifty-one thousand, two hundred fourteen".

Divisors: 1 2 11 13 19 22 26 38 143 209 247 286 418 494 881 1762 2717 2791 3301 5434 5582 6602 9691 11453 16739 19382 22906 30701 33478 36283 36311 42913 53029 61402 62719 72566 72622 85826 106058 125438 125983 184129 217607 251966 368258 399113 435214 472043 583319 689377 689909 798226 815347 944086 1166638 1378754 1379818 1630694 2393677 2458871 2908181 4787354 4917742 5816362 7583147 8968817 9213091 15166294 17937634 18426182 27047581 31965323 31989991 37806353 46718549 54095162 55255439 63930646 63979982 75612706 93437098 101344001 110510878 119770183 175048729 202688002 239540366 350097458 351618553 415869883 513904039 607341137 607809829 703237106 718320707 831739766 1027808078 1214682274 1215619658 1317472013 1436641414 1925536019 2275633477 2634944026 3851072038 4551266954 6680752507 7901527777 8116733171 13361505014 15803055554 16233466342 25031968247 50063936494 89284064881 105517531223 154217930249 178568129762 211035062446 308435860498 1160692843453 1696397232739 2004833093237 2321385686906 3392794465478 4009666186474 22053164025607 44106328051214