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3114334143225 = 3252291507731657
BaseRepresentation
bin101101010100011100110…
…001111100001011111001
3102000201122022010112121100
4231110130301330023321
5402011124020040400
610342412205002013
7441001050303444
oct55243461741371
912021568115540
103114334143225
11aa0866484838
124236b4253309
131978acc420a6
14aaa3d97065b
15560270b7100
hex2d51cc7c2f9

3114334143225 has 72 divisors (see below), whose sum is σ = 5771032427160. Its totient is φ = 1603546076160.

The previous prime is 3114334143203. The next prime is 3114334143253. The reversal of 3114334143225 is 5223414334113.

3114334143225 is a `hidden beast` number, since 3 + 1 + 14 + 3 + 3 + 414 + 3 + 225 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1708800598521 + 1405533544704 = 1307211^2 + 1185552^2 .

It is not a de Polignac number, because 3114334143225 - 26 = 3114334143161 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3114334143225.

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 71 ways as a sum of consecutive naturals, for example, 98361597 + ... + 98393253.

It is an arithmetic number, because the mean of its divisors is an integer number (80153228155).

Almost surely, 23114334143225 is an apocalyptic number.

It is an amenable number.

3114334143225 is a deficient number, since it is larger than the sum of its proper divisors (2656698283935).

3114334143225 is a wasteful number, since it uses less digits than its factorization.

3114334143225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46779 (or 46771 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

Adding to 3114334143225 its reverse (5223414334113), we get a palindrome (8337748477338).

The spelling of 3114334143225 in words is "three trillion, one hundred fourteen billion, three hundred thirty-four million, one hundred forty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 145 225 261 435 725 1305 2175 6525 15077 31657 45231 75385 94971 135693 158285 226155 284913 376925 437233 474855 678465 791425 918053 1130775 1311699 1424565 2186165 2374275 2754159 3392325 3935097 4590265 6558495 7122825 8262477 10930825 13770795 19675485 22951325 32792475 41312385 68853975 98377425 206561925 477292589 1431877767 2386462945 4295633301 7159388835 11932314725 13841485081 21478166505 35796944175 41524455243 69207425405 107390832525 124573365729 207622276215 346037127025 622866828645 1038111381075 3114334143225