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44971405381368 = 233243127114375179
BaseRepresentation
bin10100011100110101110001…
…01001001000111011111000
312220020020001120020000011100
422032122320221020323320
521343302414234200433
6235351324534531400
712321035230414614
oct1216327051107370
9186206046200140
1044971405381368
11133692a1a32404
125063914806b60
131c12a294aa93b
14b168b032a344
1552ec21dbdb13
hex28e6b8a48ef8

44971405381368 has 96 divisors (see below), whose sum is σ = 125611397683200. Its totient is φ = 14526562607424.

The previous prime is 44971405381337. The next prime is 44971405381379. The reversal of 44971405381368 is 86318350417944.

44971405381368 is a `hidden beast` number, since 4 + 4 + 9 + 7 + 140 + 53 + 81 + 368 = 666.

44971405381368 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 23 ways as a sum of consecutive naturals, for example, 56794398 + ... + 57580781.

It is an arithmetic number, because the mean of its divisors is an integer number (1308452059200).

Almost surely, 244971405381368 is an apocalyptic number.

It is an amenable number.

44971405381368 is an abundant number, since it is smaller than the sum of its proper divisors (80639992301832).

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

44971405381368 is a wasteful number, since it uses less digits than its factorization.

44971405381368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114375361 (or 114375354 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 44971405381368 in words is "forty-four trillion, nine hundred seventy-one billion, four hundred five million, three hundred eighty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 127 129 172 254 258 344 381 387 508 516 762 774 1016 1032 1143 1524 1548 2286 3048 3096 4572 5461 9144 10922 16383 21844 32766 43688 49149 65532 98298 131064 196596 393192 114375179 228750358 343125537 457500716 686251074 915001432 1029376611 1372502148 2058753222 2745004296 4117506444 4918132697 8235012888 9836265394 14525647733 14754398091 19672530788 29051295466 29508796182 39345061576 43576943199 44263194273 58102590932 59017592364 87153886398 88526388546 116205181864 118035184728 130730829597 174307772796 177052777092 261461659194 348615545592 354105554184 522923318388 624602852519 1045846636776 1249205705038 1873808557557 2498411410076 3747617115114 4996822820152 5621425672671 7495234230228 11242851345342 14990468460456 22485702690684 44971405381368