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4440300011340 = 22351511063461053
BaseRepresentation
bin100000010011101011010…
…0000010011111101001100
3120201111012010211202121120
41000213112200103331030
51040222213300330330
613235502355200540
7635541526232424
oct100472640237514
916644163752546
104440300011340
111462136663a66
125b86875a6150
132629456bc31b
14114ca9887484
157a78089cc10
hex409d6813f4c

4440300011340 has 96 divisors (see below), whose sum is σ = 12526977340416. Its totient is φ = 1175129337600.

The previous prime is 4440300011317. The next prime is 4440300011363. The reversal of 4440300011340 is 431100030444.

It is an interprime number because it is at equal distance from previous prime (4440300011317) and next prime (4440300011363).

It is a self number, because there is not a number n which added to its sum of digits gives 4440300011340.

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 31 ways as a sum of consecutive naturals, for example, 9400254 + ... + 9861306.

It is an arithmetic number, because the mean of its divisors is an integer number (130489347296).

Almost surely, 24440300011340 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 4440300011340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6263488670208).

4440300011340 is an abundant number, since it is smaller than the sum of its proper divisors (8086677329076).

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

4440300011340 is a wasteful number, since it uses less digits than its factorization.

4440300011340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462279 (or 462277 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4440300011340 its reverse (431100030444), we get a palindrome (4871400041784).

The spelling of 4440300011340 in words is "four trillion, four hundred forty billion, three hundred million, eleven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 302 453 604 755 906 1063 1510 1812 2126 2265 3020 3189 4252 4530 5315 6378 9060 10630 12756 15945 21260 31890 63780 160513 321026 461053 481539 642052 802565 922106 963078 1383159 1605130 1844212 1926156 2305265 2407695 2766318 3210260 4610530 4815390 5532636 6915795 9221060 9630780 13831590 27663180 69619003 139238006 208857009 278476012 348095015 417714018 490099339 696190030 835428036 980198678 1044285045 1392380060 1470298017 1960397356 2088570090 2450496695 2940596034 4177140180 4900993390 5881192068 7351490085 9801986780 14702980170 29405960340 74005000189 148010000378 222015000567 296020000756 370025000945 444030001134 740050001890 888060002268 1110075002835 1480100003780 2220150005670 4440300011340