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40440444484000 = 255311919101011
BaseRepresentation
bin10010011000111110001100…
…10100111111100110100000
312022012001212002221001020011
421030133012110333212200
520300034012241442000
6222002030030054304
711342503625302201
oct1114370624774640
9168161762831204
1040440444484000
11119817726a3960
12465176704a394
1319746960a3432
149db483cad5a8
154a1e3714b2ba
hex24c7c653f9a0

40440444484000 has 96 divisors (see below), whose sum is σ = 108395096951232. Its totient is φ = 14705616160000.

The previous prime is 40440444483991. The next prime is 40440444484123. The reversal of 40440444484000 is 48444404404.

It is a happy number.

40440444484000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 15 ways as a sum of consecutive naturals, for example, 459506506 + ... + 459594505.

It is an arithmetic number, because the mean of its divisors is an integer number (1129115593242).

Almost surely, 240440444484000 is an apocalyptic number.

40440444484000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40440444484000 is an abundant number, since it is smaller than the sum of its proper divisors (67954652467232).

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

40440444484000 is a wasteful number, since it uses less digits than its factorization.

40440444484000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919101047 (or 919101029 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 40.

Adding to 40440444484000 its reverse (48444404404), we get a palindrome (40488888888404).

The spelling of 40440444484000 in words is "forty trillion, four hundred forty billion, four hundred forty-four million, four hundred eighty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 8800 11000 22000 44000 919101011 1838202022 3676404044 4595505055 7352808088 9191010110 10110111121 14705616176 18382020220 20220222242 22977525275 29411232352 36764040440 40440444484 45955050550 50550555605 73528080880 80880888968 91910101100 101101111210 114887626375 147056161760 161761777936 183820202200 202202222420 229775252750 252752778025 323523555872 367640404400 404404444840 459550505500 505505556050 735280808800 808808889680 919101011000 1011011112100 1263763890125 1617617779360 1838202022000 2022022224200 2527527780250 3676404044000 4044044448400 5055055560500 8088088896800 10110111121000 20220222242000 40440444484000