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448840440440 = 23574481357733
BaseRepresentation
bin1101000100000001111…
…10011001101001111000
31120220112110110210221022
412202000332121221320
524323211123043230
6542110000202012
744266453536440
oct6420076315170
91526473423838
10448840440440
11163396800167
1272ba3909308
13334300a5a42
1417a1c8cd120
15ba1e5901e5
hex6880f99a78

448840440440 has 64 divisors (see below), whose sum is σ = 1154421927360. Its totient is φ = 153853378560.

The previous prime is 448840440409. The next prime is 448840440491. The reversal of 448840440440 is 44044048844.

It is a junction number, because it is equal to n+sod(n) for n = 448840440391 and 448840440400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1075814 + ... + 1433546.

It is an arithmetic number, because the mean of its divisors is an integer number (18037842615).

Almost surely, 2448840440440 is an apocalyptic number.

448840440440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448840440440 is an abundant number, since it is smaller than the sum of its proper divisors (705581486920).

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

448840440440 is a wasteful number, since it uses less digits than its factorization.

448840440440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362232 (or 362228 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 44.

The spelling of 448840440440 in words is "four hundred forty-eight billion, eight hundred forty million, four hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 4481 8962 17924 22405 31367 35848 44810 62734 89620 125468 156835 179240 250936 313670 357733 627340 715466 1254680 1430932 1788665 2504131 2861864 3577330 5008262 7154660 10016524 12520655 14309320 20033048 25041310 50082620 100165240 1603001573 3206003146 6412006292 8015007865 11221011011 12824012584 16030015730 22442022022 32060031460 44884044044 56105055055 64120062920 89768088088 112210110110 224420220220 448840440440