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4412146412144 = 24593889352291
BaseRepresentation
bin100000000110100100001…
…1010110110101001110000
3120121210112001212201222102
41000031020122312221300
51034242033440142034
613214525001555532
7633524046465332
oct100151032665160
916553461781872
104412146412144
1114511a9697209
125b312aaa5ba8
132600a9a123a3
14113798753452
1579b83de597e
hex403486b6a70

4412146412144 has 40 divisors (see below), whose sum is σ = 8564076073872. Its totient is φ = 2202063252480.

The previous prime is 4412146412143. The next prime is 4412146412183.

4412146412144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4412146412098 and 4412146412107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4412146412143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84350639 + ... + 84402929.

Almost surely, 24412146412144 is an apocalyptic number.

It is an amenable number.

4412146412144 is a deficient number, since it is larger than the sum of its proper divisors (4151929661728).

4412146412144 is a wasteful number, since it uses less digits than its factorization.

4412146412144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61785 (or 61779 counting only the distinct ones).

The product of its digits is 98304, while the sum is 38.

The spelling of 4412146412144 in words is "four trillion, four hundred twelve billion, one hundred forty-six million, four hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 593 1186 2372 4744 8893 9488 17786 35572 52291 71144 104582 142288 209164 418328 836656 5273549 10547098 21094196 31008563 42188392 62017126 84376784 124034252 248068504 465023863 496137008 930047726 1860095452 3720190904 7440381808 275759150759 551518301518 1103036603036 2206073206072 4412146412144