Search a number
-
+
4044044404000 = 25536971145031
BaseRepresentation
bin111010110110010011110…
…101001000010100100000
3112022121101102000020201101
4322312103311020110200
51012224200331412000
612333450334244144
7565113122160166
oct72662365102440
915277342006641
104044044404000
11131a084702257
1255391a356654
13234475a48953
14dda38add236
15702dca88e6a
hex3ad93d48520

4044044404000 has 96 divisors (see below), whose sum is σ = 9937710986112. Its totient is φ = 1617374560000.

The previous prime is 4044044403901. The next prime is 4044044404067. The reversal of 4044044404000 is 4044404404.

It is a self number, because there is not a number n which added to its sum of digits gives 4044044404000.

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 15 ways as a sum of consecutive naturals, for example, 27811485 + ... + 27956515.

It is an arithmetic number, because the mean of its divisors is an integer number (103517822772).

Almost surely, 24044044404000 is an apocalyptic number.

4044044404000 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 4044044404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4968855493056).

4044044404000 is an abundant number, since it is smaller than the sum of its proper divisors (5893666582112).

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

4044044404000 is a wasteful number, since it uses less digits than its factorization.

4044044404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152027 (or 152009 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 4044044404000 its reverse (4044404404), we get a palindrome (4048088808404).

The spelling of 4044044404000 in words is "four trillion, forty-four billion, forty-four million, four hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 6971 13942 27884 34855 55768 69710 111536 139420 145031 174275 223072 278840 290062 348550 557680 580124 697100 725155 871375 1115360 1160248 1394200 1450310 1742750 2320496 2788400 2900620 3485500 3625775 4640992 5576800 5801240 6971000 7251550 11602480 13942000 14503100 18128875 23204960 27884000 29006200 36257750 58012400 72515500 116024800 145031000 290062000 580124000 1011011101 2022022202 4044044404 5055055505 8088088808 10110111010 16176177616 20220222020 25275277525 32352355232 40440444040 50550555050 80880888080 101101110100 126376387625 161761776160 202202220200 252752775250 404404440400 505505550500 808808880800 1011011101000 2022022202000 4044044404000