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34224303141 = 347411472203
BaseRepresentation
bin11111110111111011…
…010110110000100101
310021100011001201220000
4133313323112300211
51030042410200031
623420013331513
72321052530310
oct376773266045
9107304051800
1034224303141
11135727aa556
126771796b99
1332c55cca62
1419294a9977
15d549093e6
hex7f7ed6c25

34224303141 has 40 divisors (see below), whose sum is σ = 59853925824. Its totient is φ = 19079737920.

The previous prime is 34224303137. The next prime is 34224303193. The reversal of 34224303141 is 14130342243.

34224303141 is a `hidden beast` number, since 342 + 2 + 4 + 3 + 0 + 314 + 1 = 666.

It is not a de Polignac number, because 34224303141 - 22 = 34224303137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34224303131) 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 39 ways as a sum of consecutive naturals, for example, 712855 + ... + 759348.

Almost surely, 234224303141 is an apocalyptic number.

It is an amenable number.

34224303141 is a deficient number, since it is larger than the sum of its proper divisors (25629622683).

34224303141 is a wasteful number, since it uses less digits than its factorization.

34224303141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472263 (or 1472254 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34224303141 its reverse (14130342243), we get a palindrome (48354645384).

The spelling of 34224303141 in words is "thirty-four billion, two hundred twenty-four million, three hundred three thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 27 41 63 81 123 189 287 369 567 861 1107 2583 3321 7749 23247 1472203 4416609 10305421 13249827 30916263 39749481 60360323 92748789 119248443 181080969 278246367 422522261 543242907 834739101 1267566783 1629728721 3802700349 4889186163 11408101047 34224303141