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14354125225 = 52111967131313
BaseRepresentation
bin11010101111001001…
…01001000110101001
31101001100211010001121
431113210221012221
5213344124001400
610332202415241
71015465023406
oct152744510651
941040733047
1014354125225
1160a6590810
122947201521
131479aaa92b
149a25392ad
1559028421a
hex3579291a9

14354125225 has 96 divisors (see below), whose sum is σ = 20969372160. Its totient is φ = 9637056000.

The previous prime is 14354125213. The next prime is 14354125231. The reversal of 14354125225 is 52252145341.

It is a happy number.

14354125225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14354125225 - 29 = 14354124713 is a prime.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 45859669 + ... + 45859981.

It is an arithmetic number, because the mean of its divisors is an integer number (218430960).

Almost surely, 214354125225 is an apocalyptic number.

It is an amenable number.

14354125225 is a deficient number, since it is larger than the sum of its proper divisors (6615246935).

14354125225 is a wasteful number, since it uses less digits than its factorization.

14354125225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 546 counting only the distinct ones).

The product of its digits is 48000, while the sum is 34.

The spelling of 14354125225 in words is "fourteen billion, three hundred fifty-four million, one hundred twenty-five thousand, two hundred twenty-five".

Divisors: 1 5 11 19 25 55 67 95 131 209 275 313 335 475 655 737 1045 1273 1441 1565 1675 2489 3275 3443 3685 5225 5947 6365 7205 7825 8777 12445 14003 17215 18425 20971 27379 29735 31825 36025 41003 43885 62225 65417 70015 86075 96547 104855 136895 148675 166763 205015 219425 230681 327085 350075 398449 451033 482735 524275 684475 779057 833815 1025075 1153405 1635425 1834393 1992245 2255165 2413675 2747201 3895285 4169075 4382939 5767025 8569627 9171965 9961225 11275825 13736005 19476425 21914695 30219211 42848135 45859825 52196819 68680025 109573475 151096055 214240675 260984095 574165009 755480275 1304920475 2870825045 14354125225