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40444200022000 = 245376926296619
BaseRepresentation
bin10010011001000101001100…
…01011001110111111110000
312022012102112211122010212011
421030202212023032333300
520300114210201201000
6222003450424212304
711342665656660445
oct1114424613167760
9168172484563764
1040444200022000
111198331a597175
12465243490a094
131974b44171078
149db71c9899cc
154a20a6bd32ba
hex24c8a62ceff0

40444200022000 has 80 divisors (see below), whose sum is σ = 97921249826400. Its totient is φ = 16156642099200.

The previous prime is 40444200021983. The next prime is 40444200022033. The reversal of 40444200022000 is 22000244404.

40444200022000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 11610310 + ... + 14686309.

It is an arithmetic number, because the mean of its divisors is an integer number (1224015622830).

Almost surely, 240444200022000 is an apocalyptic number.

40444200022000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40444200022000 is an abundant number, since it is smaller than the sum of its proper divisors (57477049804400).

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

40444200022000 is a wasteful number, since it uses less digits than its factorization.

40444200022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26297411 (or 26297395 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 40444200022000 its reverse (22000244404), we get a palindrome (40466200266404).

The spelling of 40444200022000 in words is "forty trillion, four hundred forty-four billion, two hundred million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 769 1000 1538 2000 3076 3845 6152 7690 12304 15380 19225 30760 38450 61520 76900 96125 153800 192250 307600 384500 769000 1538000 26296619 52593238 105186476 131483095 210372952 262966190 420745904 525932380 657415475 1051864760 1314830950 2103729520 2629661900 3287077375 5259323800 6574154750 10518647600 13148309500 20222100011 26296619000 40444200022 52593238000 80888400044 101110500055 161776800088 202221000110 323553600176 404442000220 505552500275 808884000440 1011105000550 1617768000880 2022210001100 2527762501375 4044420002200 5055525002750 8088840004400 10111050005500 20222100011000 40444200022000