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44042240402224 = 24233791367231001
BaseRepresentation
bin10100000001110011000100…
…00110000010001100110000
312202221101201110101110211021
422000321202012002030300
521233042002020332344
6233400420444425224
712163642526411431
oct1200714206021460
9182841643343737
1044042240402224
111304023358a069
124b33821248214
131b7621c651a2c
14ac392777d488
1551598e20bb84
hex280e62182330

44042240402224 has 80 divisors (see below), whose sum is σ = 89342555281920. Its totient is φ = 20992644288000.

The previous prime is 44042240402221. The next prime is 44042240402243. The reversal of 44042240402224 is 42220404224044.

It is a self number, because there is not a number n which added to its sum of digits gives 44042240402224.

It is not an unprimeable number, because it can be changed into a prime (44042240402221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190542724 + ... + 190773724.

It is an arithmetic number, because the mean of its divisors is an integer number (1116781941024).

Almost surely, 244042240402224 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 44042240402224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44671277640960).

44042240402224 is an abundant number, since it is smaller than the sum of its proper divisors (45300314879696).

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

44042240402224 is a wasteful number, since it uses less digits than its factorization.

44042240402224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232778 (or 232772 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 34.

Adding to 44042240402224 its reverse (42220404224044), we get a palindrome (86262644626268).

The spelling of 44042240402224 in words is "forty-four trillion, forty-two billion, two hundred forty million, four hundred two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 46 92 184 368 379 758 1367 1516 2734 3032 5468 6064 8717 10936 17434 21872 31441 34868 62882 69736 125764 139472 231001 251528 462002 503056 518093 924004 1036186 1848008 2072372 3696016 4144744 5313023 8289488 10626046 11916139 21252092 23832278 42504184 47664556 85008368 87549379 95329112 175098758 190658224 315778367 350197516 631556734 700395032 1263113468 1400790064 2013635717 2526226936 4027271434 5052453872 7262902441 8054542868 14525804882 16109085736 29051609764 32218171472 58103219528 116206439056 119680001093 239360002186 478720004372 957440008744 1914880017488 2752640025139 5505280050278 11010560100556 22021120201112 44042240402224