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1441022322124 = 2271171433915187
BaseRepresentation
bin10100111110000011100…
…111111010010111001100
312002202112022201200021201
4110332003213322113030
5142102203203301444
63021555125235244
7206052606431560
oct24760347722714
95082468650251
101441022322124
11506152596050
121b3343562b24
13a5b70710968
144da628956a0
152773e786dd4
hex14f839fa5cc

1441022322124 has 96 divisors (see below), whose sum is σ = 3189275873280. Its totient is φ = 553365691200.

The previous prime is 1441022322119. The next prime is 1441022322127. The reversal of 1441022322124 is 4212232201441.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1441022322092 and 1441022322101.

It is not an unprimeable number, because it can be changed into a prime (1441022322127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94877659 + ... + 94892845.

It is an arithmetic number, because the mean of its divisors is an integer number (33221623680).

Almost surely, 21441022322124 is an apocalyptic number.

1441022322124 is a gapful number since it is divisible by the number (14) 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 1441022322124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594637936640).

1441022322124 is an abundant number, since it is smaller than the sum of its proper divisors (1748253551156).

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

1441022322124 is a wasteful number, since it uses less digits than its factorization.

1441022322124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19619 (or 19617 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 1441022322124 its reverse (4212232201441), we get a palindrome (5653254523565).

The spelling of 1441022322124 in words is "one trillion, four hundred forty-one billion, twenty-two million, three hundred twenty-two thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 71 77 142 154 284 308 497 781 994 1562 1988 3124 4339 5467 8678 10934 15187 17356 21868 30373 30374 47729 60746 60748 95458 106309 121492 167057 190916 212618 308069 334103 334114 425236 616138 668206 668228 1078277 1169399 1232276 1336412 2156483 2156554 2338798 3388759 4312966 4313108 4677596 6777518 7547939 8625932 11861047 13555036 15095878 23721313 23722094 30191756 47442626 47444188 65896393 83027329 94885252 131792786 166054658 263585572 332109316 461274751 724860323 922549502 1449720646 1845099004 2899441292 4678643903 5074022261 9357287806 10148044522 18714575612 20296089044 32750507321 51465082933 65501014642 102930165866 131002029284 205860331732 360255580531 720511161062 1441022322124