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44440220224 = 262373940853
BaseRepresentation
bin101001011000110101…
…111111001001000000
311020201010010002120101
4221120311333021000
51212003144021344
632225432052144
73132161432161
oct513065771100
9136633102511
1044440220224
1117935389234
128742b34054
134262c583ca
142218195768
1512517179d4
hexa58d7f240

44440220224 has 56 divisors (see below), whose sum is σ = 92147014080. Its totient is φ = 21224738304.

The previous prime is 44440220203. The next prime is 44440220257. The reversal of 44440220224 is 42202204444.

It is a super-2 number, since 2×444402202242 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44440220192 and 44440220201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1067382 + ... + 1108234.

Almost surely, 244440220224 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 44440220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46073507040).

44440220224 is an abundant number, since it is smaller than the sum of its proper divisors (47706793856).

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

44440220224 is a wasteful number, since it uses less digits than its factorization.

44440220224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41627 (or 41617 counting only the distinct ones).

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

Adding to 44440220224 its reverse (42202204444), we get a palindrome (86642424668).

The spelling of 44440220224 in words is "forty-four billion, four hundred forty million, two hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 736 739 1472 1478 2956 5912 11824 16997 23648 33994 40853 47296 67988 81706 135976 163412 271952 326824 543904 653648 939619 1087808 1307296 1879238 2614592 3758476 7516952 15033904 30067808 30190367 60135616 60380734 120761468 241522936 483045872 694378441 966091744 1388756882 1932183488 2777513764 5555027528 11110055056 22220110112 44440220224