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4144401623344 = 242354787205559
BaseRepresentation
bin111100010011110001100…
…101100010100100110000
3112200012102110211012210011
4330103301211202210300
51020400213303421334
612451524541544304
7605265064361413
oct74236145424460
915605373735704
104144401623344
1113586a3743554
1256b267875094
13240a7a56b588
14104839389b7a
1572c13336564
hex3c4f1962930

4144401623344 has 40 divisors (see below), whose sum is σ = 8379092632320. Its totient is φ = 1982059303488.

The previous prime is 4144401623267. The next prime is 4144401623353. The reversal of 4144401623344 is 4433261044414.

It is a junction number, because it is equal to n+sod(n) for n = 4144401623297 and 4144401623306.

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 7 ways as a sum of consecutive naturals, for example, 20058837 + ... + 20264395.

It is an arithmetic number, because the mean of its divisors is an integer number (209477315808).

Almost surely, 24144401623344 is an apocalyptic number.

It is an amenable number.

4144401623344 is an abundant number, since it is smaller than the sum of its proper divisors (4234691008976).

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

4144401623344 is a wasteful number, since it uses less digits than its factorization.

4144401623344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260377 (or 260371 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 40.

Adding to 4144401623344 its reverse (4433261044414), we get a palindrome (8577662667758).

The spelling of 4144401623344 in words is "four trillion, one hundred forty-four billion, four hundred one million, six hundred twenty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 23 46 92 184 368 54787 109574 205559 219148 411118 438296 822236 876592 1260101 1644472 2520202 3288944 4727857 5040404 9455714 10080808 18911428 20161616 37822856 75645712 11261960933 22523921866 45047843732 90095687464 180191374928 259025101459 518050202918 1036100405836 2072200811672 4144401623344