Search a number
-
+
4044201211120 = 245722332384699
BaseRepresentation
bin111010110110011101001…
…011010011010011110000
3112022121210100001212122111
4322312131023103103300
51012230011002223440
612333514055215104
7565120035050620
oct72663513232360
915277710055574
104044201211120
11131a155173814
12553962977494
1323449c38c025
14dda5187a880
15702eb7104ea
hex3ad9d2d34f0

4044201211120 has 80 divisors (see below), whose sum is σ = 10794209126400. Its totient is φ = 1380365367552.

The previous prime is 4044201211111. The next prime is 4044201211129. The reversal of 4044201211120 is 211121024404.

It is an interprime number because it is at equal distance from previous prime (4044201211111) and next prime (4044201211129).

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

It is a junction number, because it is equal to n+sod(n) for n = 4044201211091 and 4044201211100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4044201211129) by changing a digit.

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, 16067470 + ... + 16317229.

It is an arithmetic number, because the mean of its divisors is an integer number (134927614080).

Almost surely, 24044201211120 is an apocalyptic number.

4044201211120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4044201211120 is an abundant number, since it is smaller than the sum of its proper divisors (6750007915280).

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

4044201211120 is a wasteful number, since it uses less digits than its factorization.

4044201211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32384942 (or 32384936 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 4044201211120 its reverse (211121024404), we get a palindrome (4255322235524).

The spelling of 4044201211120 in words is "four trillion, forty-four billion, two hundred one million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 223 280 446 560 892 1115 1561 1784 2230 3122 3568 4460 6244 7805 8920 12488 15610 17840 24976 31220 62440 124880 32384699 64769398 129538796 161923495 226692893 259077592 323846990 453385786 518155184 647693980 906771572 1133464465 1295387960 1813543144 2266928930 2590775920 3627086288 4533857860 7221787877 9067715720 14443575754 18135431440 28887151508 36108939385 50552515139 57774303016 72217878770 101105030278 115548606032 144435757540 202210060556 252762575695 288871515080 404420121112 505525151390 577743030160 808840242224 1011050302780 2022100605560 4044201211120