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1441003410220 = 2251197547712329
BaseRepresentation
bin10100111110000010011…
…111110001001100101100
312002202111000010212000211
4110332002133301030230
5142102133333111340
63021553212032204
7206052256614043
oct24760237611454
95082430125024
101441003410220
11506142949280
121b3339162664
13a5b6981b89a
144da6017155a
152773cc9d5ea
hex14f827f132c

1441003410220 has 96 divisors (see below), whose sum is σ = 3336120406080. Its totient is φ = 518462423040.

The previous prime is 1441003410169. The next prime is 1441003410221. The reversal of 1441003410220 is 220143001441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1441003410191 and 1441003410200.

It is not an unprimeable number, because it can be changed into a prime (1441003410221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116873016 + ... + 116885344.

It is an arithmetic number, because the mean of its divisors is an integer number (34751254230).

Almost surely, 21441003410220 is an apocalyptic number.

1441003410220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1441003410220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668060203040).

1441003410220 is an abundant number, since it is smaller than the sum of its proper divisors (1895116995860).

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

1441003410220 is a wasteful number, since it uses less digits than its factorization.

1441003410220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17923 (or 17921 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 1441003410220 its reverse (220143001441), we get a palindrome (1661146411661).

The spelling of 1441003410220 in words is "one trillion, four hundred forty-one billion, three million, four hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 97 110 194 220 388 485 970 1067 1940 2134 4268 5335 5477 10670 10954 12329 21340 21908 24658 27385 49316 54770 60247 61645 109540 120494 123290 135619 240988 246580 271238 301235 531269 542476 602470 678095 1062538 1195913 1204940 1356190 2125076 2391826 2656345 2712380 4783652 5312690 5843959 5979565 10625380 11687918 11959130 13155043 23375836 23918260 26310086 29219795 52620172 58439590 65775215 67525933 116879180 131550430 135051866 263100860 270103732 337629665 675259330 742785263 1350518660 1485570526 2971141052 3713926315 6550015501 7427852630 13100031002 14855705260 26200062004 32750077505 65500155010 72050170511 131000310020 144100341022 288200682044 360250852555 720501705110 1441003410220