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44052664542012 = 22327417160052271
BaseRepresentation
bin10100000010000110011110…
…11010111110001100111100
312202222101121221020122100200
422001003033122332030330
521233224324110321022
6233405303102123500
712164462044215510
oct1201031732761474
9182871557218320
1044052664542012
11130446a2757625
124b35850280590
131b771c1183299
14ac4235d8c140
15515d9e44abac
hex2810cf6be33c

44052664542012 has 144 divisors (see below), whose sum is σ = 132203395344384. Its totient is φ = 12106537632000.

The previous prime is 44052664541881. The next prime is 44052664542023. The reversal of 44052664542012 is 21024546625044.

44052664542012 is a `hidden beast` number, since 4 + 4 + 0 + 526 + 64 + 54 + 2 + 0 + 12 = 666.

44052664542012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29292564 + ... + 30759707.

It is an arithmetic number, because the mean of its divisors is an integer number (918079134336).

Almost surely, 244052664542012 is an apocalyptic number.

44052664542012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

44052664542012 is an abundant number, since it is smaller than the sum of its proper divisors (88150730802372).

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

44052664542012 is a wasteful number, since it uses less digits than its factorization.

44052664542012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60052400 (or 60052395 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 44052664542012 in words is "forty-four trillion, fifty-two billion, six hundred sixty-four million, five hundred forty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 71 82 84 123 126 142 164 213 246 252 284 287 369 426 492 497 574 639 738 852 861 994 1148 1278 1476 1491 1722 1988 2556 2583 2911 2982 3444 4473 5166 5822 5964 8733 8946 10332 11644 17466 17892 20377 26199 34932 40754 52398 61131 81508 104796 122262 183393 244524 366786 733572 60052271 120104542 180156813 240209084 360313626 420365897 540470439 720627252 840731794 1080940878 1261097691 1681463588 2161881756 2462143111 2522195382 3783293073 4263711241 4924286222 5044390764 7386429333 7566586146 8527422482 9848572444 12791133723 14772858666 15133172292 17054844964 17235001777 22159287999 25582267446 29545717332 29845978687 34470003554 38373401169 44318575998 51164534892 51705005331 59691957374 68940007108 76746802338 88637151996 89537936061 103410010662 119383914748 153493604676 155115015993 174812160881 179075872122 206820021324 268613808183 310230031986 349624321762 358151744244 524436482643 537227616366 620460063972 699248643524 1048872965286 1074455232732 1223685126167 1573309447929 2097745930572 2447370252334 3146618895858 3671055378501 4894740504668 6293237791716 7342110757002 11013166135503 14684221514004 22026332271006 44052664542012