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44434121024244 = 22371373899925837
BaseRepresentation
bin10100001101001100111111…
…11111111110001011110100
312211022212020021220201010010
422012212133333332023310
521311002034440233434
6234300430422300220
712234154640631510
oct1206463777761364
9184285207821103
1044434121024244
111318144aa17626
124b97769287670
131ba4172ab01b3
14ad88a1481140
15520c77dc89e9
hex28699fffe2f4

44434121024244 has 96 divisors (see below), whose sum is σ = 119662726659840. Its totient is φ = 12570396337152.

The previous prime is 44434121024243. The next prime is 44434121024257. The reversal of 44434121024244 is 44242012143444.

It is a super-2 number, since 2×444341210242442 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44434121024243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 486307 + ... + 9439530.

It is an arithmetic number, because the mean of its divisors is an integer number (1246486736040).

Almost surely, 244434121024244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44434121024244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59831363329920).

44434121024244 is an abundant number, since it is smaller than the sum of its proper divisors (75228605635596).

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

44434121024244 is a wasteful number, since it uses less digits than its factorization.

44434121024244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9926377 (or 9926375 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 39.

Adding to 44434121024244 its reverse (44242012143444), we get a palindrome (88676133167688).

The spelling of 44434121024244 in words is "forty-four trillion, four hundred thirty-four billion, one hundred twenty-one million, twenty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 137 274 389 411 548 778 822 959 1167 1556 1644 1918 2334 2723 2877 3836 4668 5446 5754 8169 10892 11508 16338 32676 53293 106586 159879 213172 319758 373051 639516 746102 1119153 1492204 2238306 4476612 9925837 19851674 29777511 39703348 59555022 69480859 119110044 138961718 208442577 277923436 416885154 833770308 1359839669 2719679338 3861150593 4079519007 5439358676 7722301186 8159038014 9518877683 11583451779 15444602372 16318076028 19037755366 23166903558 27028054151 28556633049 38075510732 46333807116 54056108302 57113266098 81084162453 108112216604 114226532196 162168324906 324336649812 528977631241 1057955262482 1586932893723 2115910524964 3173865787446 3702843418687 6347731574892 7405686837374 11108530256061 14811373674748 22217060512122 44434121024244