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44800802244 = 223411210692
BaseRepresentation
bin101001101110010101…
…011111110111000100
311021122020121120010000
4221232111133313010
51213223001132434
632325312401300
73144130351542
oct515625376704
9137566546100
1044800802244
1117aaa980900
128823846230
1342bc878053
142250018d92
1512731e1b99
hexa6e55fdc4

44800802244 has 135 divisors (see below), whose sum is σ = 128853705981. Its totient is φ = 13563300960.

The previous prime is 44800802231. The next prime is 44800802251. The reversal of 44800802244 is 44220800844.

The square root of 44800802244 is 211662.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20949088644 + 23851713600 = 144738^2 + 154440^2 .

It is a super-2 number, since 2×448008022442 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 44800802199 and 44800802208.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 41908542 + ... + 41909610.

Almost surely, 244800802244 is an apocalyptic number.

44800802244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

44800802244 is the 211662-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44800802244

44800802244 is an abundant number, since it is smaller than the sum of its proper divisors (84052903737).

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

44800802244 is a wasteful number, since it uses less digits than its factorization.

44800802244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

Multiplying 44800802244 by its sum of digits (36), we get a square (1612828880784 = 12699722).

44800802244 divided by its sum of digits (36) gives a square (1244466729 = 352772).

The spelling of 44800802244 in words is "forty-four billion, eight hundred million, eight hundred two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 1069 1089 1188 1452 1782 2138 2178 3207 3267 3564 4276 4356 6414 6534 9621 9801 11759 12828 13068 19242 19602 23518 28863 35277 38484 39204 47036 57726 70554 86589 105831 115452 129349 141108 173178 211662 258698 317493 346356 388047 423324 517396 634986 776094 952479 1142761 1164141 1269972 1552188 1904958 2285522 2328282 3428283 3492423 3809916 4571044 4656564 6856566 6984846 10284849 10477269 12570371 13713132 13969692 20569698 20954538 25140742 30854547 37711113 41139396 41909076 50281484 61709094 75422226 92563641 113133339 123418188 138274081 150844452 185127282 226266678 276548162 339400017 370254564 414822243 452533356 553096324 678800034 829644486 1018200051 1244466729 1357600068 1659288972 2036400102 2488933458 3733400187 4072800204 4977866916 7466800374 11200200561 14933600748 22400401122 44800802244