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5412040402145 = 513261317336029
BaseRepresentation
bin100111011000001011010…
…1111101110010011100001
3201011101102101211022002012
41032300112233232103201
51202132324320332040
615302131304202305
71066002256251326
oct116602657562341
921141371738065
105412040402145
1117a7262796233
12734a81469395
13303479041a00
14149d30a82b4d
1595ba61bb865
hex4ec16bee4e1

5412040402145 has 48 divisors (see below), whose sum is σ = 7049155915440. Its totient is φ = 3987100136448.

The previous prime is 5412040402031. The next prime is 5412040402187.

5412040402145 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 24 ways, for example, as 5208236008336 + 203804393809 = 2282156^2 + 451447^2 .

It is a de Polignac number, because none of the positive numbers 2k-5412040402145 is a prime.

It is a Curzon number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 897664991 + ... + 897671019.

It is an arithmetic number, because the mean of its divisors is an integer number (146857414905).

Almost surely, 25412040402145 is an apocalyptic number.

It is an amenable number.

5412040402145 is a deficient number, since it is larger than the sum of its proper divisors (1637115513295).

5412040402145 is a wasteful number, since it uses less digits than its factorization.

5412040402145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8406 (or 8393 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

It can be divided in two parts, 5412040 and 402145, that added together give a palindrome (5814185).

The spelling of 5412040402145 in words is "five trillion, four hundred twelve billion, forty million, four hundred two thousand, one hundred forty-five".

Divisors: 1 5 13 65 169 613 845 1733 3065 6029 7969 8665 22529 30145 39845 78377 103597 112645 292877 391885 517985 1018901 1062329 1464385 3695777 5094505 5311645 10448257 13810277 18478885 48045101 52241285 69051385 135827341 179533601 240225505 624586313 679136705 897668005 1765755433 3122931565 6404781541 8828777165 32023907705 83262160033 416310800165 1082408080429 5412040402145