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44114226500 = 22531729317713
BaseRepresentation
bin101001000101011010…
…011010110101000100
311012212101200220020202
4221011122122311010
51210321220222000
632133224550032
73121122511151
oct510532326504
9135771626222
1044114226500
1117788370333
128671922318
134210559006
1421c6b77228
151232cc1dd5
hexa4569ad44

44114226500 has 96 divisors (see below), whose sum is σ = 102366796896. Its totient is φ = 16550092800.

The previous prime is 44114226491. The next prime is 44114226511. The reversal of 44114226500 is 562241144.

It can be written as a sum of positive squares in 16 ways, for example, as 4113426496 + 40000800004 = 64136^2 + 200002^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2481644 + ... + 2499356.

It is an arithmetic number, because the mean of its divisors is an integer number (1066320801).

Almost surely, 244114226500 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 44114226500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51183398448).

44114226500 is an abundant number, since it is smaller than the sum of its proper divisors (58252570396).

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

44114226500 is a wasteful number, since it uses less digits than its factorization.

44114226500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18042 (or 18030 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 44114226500 its reverse (562241144), we get a palindrome (44676467644).

The spelling of 44114226500 in words is "forty-four billion, one hundred fourteen million, two hundred twenty-six thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 250 293 340 425 500 586 850 1172 1465 1700 2125 2930 4250 4981 5860 7325 8500 9962 14650 17713 19924 24905 29300 35426 36625 49810 70852 73250 88565 99620 124525 146500 177130 249050 301121 354260 442825 498100 602242 622625 885650 1204484 1245250 1505605 1771300 2214125 2490500 3011210 4428250 5189909 6022420 7528025 8856500 10379818 15056050 20759636 25949545 30112100 37640125 51899090 75280250 88228453 103798180 129747725 150560500 176456906 259495450 352913812 441142265 518990900 648738625 882284530 1297477250 1764569060 2205711325 2594954500 4411422650 8822845300 11028556625 22057113250 44114226500