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44106520305135 = 3531375946194253
BaseRepresentation
bin10100000011101010110010…
…11110011001110111101111
312210011112122020100212122010
422001311121132121313233
521240120123144231020
6233450131122052303
712201406455520251
oct1201653136316757
9183145566325563
1044106520305135
1113065519948572
124b441804aa093
131b7c2c49b2a42
14ac6aa4807cd1
155174a2573de0
hex281d59799def

44106520305135 has 128 divisors (see below), whose sum is σ = 76249646161920. Its totient is φ = 21726518630400.

The previous prime is 44106520305121. The next prime is 44106520305151. The reversal of 44106520305135 is 53150302560144.

It is a happy number.

It is not a de Polignac number, because 44106520305135 - 243 = 35310427282927 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 44106520305093 and 44106520305102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 467911669 + ... + 468005921.

It is an arithmetic number, because the mean of its divisors is an integer number (595700360640).

Almost surely, 244106520305135 is an apocalyptic number.

44106520305135 is a deficient number, since it is larger than the sum of its proper divisors (32143125856785).

44106520305135 is a wasteful number, since it uses less digits than its factorization.

44106520305135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94849.

The product of its (nonzero) digits is 216000, while the sum is 39.

Adding to 44106520305135 its reverse (53150302560144), we get a palindrome (97256822865279).

The spelling of 44106520305135 in words is "forty-four trillion, one hundred six billion, five hundred twenty million, three hundred five thousand, one hundred thirty-five".

Divisors: 1 3 5 15 31 37 59 93 111 155 177 185 295 461 465 555 885 1147 1383 1829 2183 2305 3441 5487 5735 6549 6915 9145 10915 14291 17057 17205 27199 27435 32745 42873 51171 67673 71455 81597 85285 94253 135995 203019 214365 255855 282759 338365 407985 471265 528767 843169 1006363 1015095 1413795 1586301 2529507 2643835 2921843 3019089 3487361 4215845 5031815 5560927 7931505 8765529 10462083 12647535 14609215 15095445 16682781 17436805 27804635 31197253 43450633 43827645 52310415 83413905 93591759 108108191 130351899 155986265 172388737 205754299 217253165 324324573 467958795 517166211 540540955 617262897 651759495 861943685 1028771495 1346969623 1607673421 1621622865 2563587347 2585831055 3086314485 4040908869 4823020263 6378383269 6734848115 7690762041 8038367105 12817936735 19135149807 20204544345 24115101315 31891916345 38453810205 49837876051 79471207757 94852731839 95675749035 149513628153 238413623271 249189380255 284558195517 397356038785 474263659195 747568140765 1192068116355 1422790977585 2940434687009 8821304061027 14702173435045 44106520305135