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444444444040 = 2352310119312477
BaseRepresentation
bin1100111011110101111…
…01000000010110001000
31120111012002122001112211
412131322331000112020
524240210234202130
6540101442514504
744052514304422
oct6357275002610
91514162561484
10444444444040
11161540335a93
1272177665a34
1332bac41513c
1417722b37812
15b863697a2a
hex677af40588

444444444040 has 128 divisors (see below), whose sum is σ = 1054781118720. Its totient is φ = 168209536000.

The previous prime is 444444444023. The next prime is 444444444071. The reversal of 444444444040 is 40444444444.

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

It is a junction number, because it is equal to n+sod(n) for n = 444444443984 and 444444444002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179427282 + ... + 179429758.

It is an arithmetic number, because the mean of its divisors is an integer number (8240477490).

Almost surely, 2444444444040 is an apocalyptic number.

444444444040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444444444040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527390559360).

444444444040 is an abundant number, since it is smaller than the sum of its proper divisors (610336674680).

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

444444444040 is a wasteful number, since it uses less digits than its factorization.

444444444040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4543 (or 4539 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 40.

Adding to 444444444040 its reverse (40444444444), we get a palindrome (484888888484).

The spelling of 444444444040 in words is "four hundred forty-four billion, four hundred forty-four million, four hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 101 115 184 202 230 404 460 505 808 920 1010 1931 2020 2323 2477 3862 4040 4646 4954 7724 9292 9655 9908 11615 12385 15448 18584 19310 19816 23230 24770 38620 44413 46460 49540 56971 77240 88826 92920 99080 113942 177652 195031 222065 227884 250177 284855 355304 390062 444130 455768 500354 569710 780124 888260 975155 1000708 1139420 1250885 1560248 1776520 1950310 2001416 2278840 2501770 3900620 4485713 4783087 5003540 5754071 7801240 8971426 9566174 10007080 11508142 17942852 19132348 22428565 23016284 23915435 28770355 35885704 38264696 44857130 46032568 47830870 57540710 89714260 95661740 110011001 115081420 179428520 191323480 220022002 230162840 440044004 483091787 550055005 880088008 966183574 1100110010 1932367148 2200220020 2415458935 3864734296 4400440040 4830917870 9661835740 11111111101 19323671480 22222222202 44444444404 55555555505 88888888808 111111111010 222222222020 444444444040