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4122344442024 = 233259396551069
BaseRepresentation
bin111011111111001110111…
…000000100100010101000
3112121002111021100022021200
4323333032320010202220
51020020030134121044
612433440124004200
7603554352415344
oct73771670044250
915532437308250
104122344442024
11134a304a71786
12566b30990660
1323b9739185b3
14103745ba2624
1572371bb0369
hex3bfcee048a8

4122344442024 has 48 divisors (see below), whose sum is σ = 11183510438100. Its totient is φ = 1371797574144.

The previous prime is 4122344442017. The next prime is 4122344442037. The reversal of 4122344442024 is 4202444432214.

4122344442024 is a `hidden beast` number, since 4 + 1 + 2 + 2 + 3 + 4 + 444 + 202 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4090983573924 + 31360868100 = 2022618^2 + 177090^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4122344442024.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48232839 + ... + 48318230.

Almost surely, 24122344442024 is an apocalyptic number.

It is an amenable number.

4122344442024 is an abundant number, since it is smaller than the sum of its proper divisors (7061165996076).

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

4122344442024 is a wasteful number, since it uses less digits than its factorization.

4122344442024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96551674 (or 96551667 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 4122344442024 its reverse (4202444432214), we get a palindrome (8324788874238).

The spelling of 4122344442024 in words is "four trillion, one hundred twenty-two billion, three hundred forty-four million, four hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 593 1186 1779 2372 3558 4744 5337 7116 10674 14232 21348 42696 96551069 193102138 289653207 386204276 579306414 772408552 868959621 1158612828 1737919242 2317225656 3475838484 6951676968 57254783917 114509567834 171764351751 229019135668 343528703502 458038271336 515293055253 687057407004 1030586110506 1374114814008 2061172221012 4122344442024