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14045255145 = 3351971233331
BaseRepresentation
bin11010001010010100…
…11001010111101001
31100020211121212222000
431011022121113221
5212231041131040
610241410321213
71005024461505
oct150512312751
940224555860
1014045255145
115a581a9089
12287b889209
13142aac567c
149734d7305
155730c2130
hex3452995e9

14045255145 has 128 divisors (see below), whose sum is σ = 26848972800. Its totient is φ = 6945523200.

The previous prime is 14045255137. The next prime is 14045255171. The reversal of 14045255145 is 54155254041.

14045255145 is a `hidden beast` number, since 1 + 40 + 4 + 525 + 51 + 45 = 666.

14045255145 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 14045255145 - 23 = 14045255137 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 127 ways as a sum of consecutive naturals, for example, 42432630 + ... + 42432960.

It is an arithmetic number, because the mean of its divisors is an integer number (209757600).

Almost surely, 214045255145 is an apocalyptic number.

14045255145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14045255145 is a deficient number, since it is larger than the sum of its proper divisors (12803717655).

14045255145 is a wasteful number, since it uses less digits than its factorization.

14045255145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 14045255145 in words is "fourteen billion, forty-five million, two hundred fifty-five thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 19 27 45 57 71 95 135 171 213 233 285 331 355 513 639 699 855 993 1065 1165 1349 1655 1917 2097 2565 2979 3195 3495 4047 4427 4965 6289 6291 6745 8937 9585 10485 12141 13281 14895 16543 18867 20235 22135 23501 31445 31455 36423 39843 44685 49629 56601 60705 66405 70503 77123 82715 94335 117505 119529 148887 169803 182115 199215 211509 231369 248145 283005 314317 352515 385615 446519 446661 597645 634527 694107 744435 849015 942951 1057545 1156845 1339557 1465337 1571585 2082321 2232595 2233305 2828853 3172635 3470535 4018671 4396011 4714755 5475733 6697785 7326685 8486559 10411605 12056013 13188033 14144265 16427199 20093355 21980055 27378665 39564099 42432795 49281597 60280065 65940165 82135995 104038927 147844791 197820495 246407985 312116781 520194635 739223955 936350343 1560583905 2809051029 4681751715 14045255145