Search a number
-
+
144408285 = 33571789101
BaseRepresentation
bin10001001101101…
…11111011011101
3101001201200221000
420212313323131
5243432031120
622155100513
73402310260
oct1046677335
9331650830
10144408285
117457309a
1240441739
1323bc19b8
1415270cd7
15ca27990
hex89b7edd

144408285 has 128 divisors (see below), whose sum is σ = 317260800. Its totient is φ = 60825600.

The previous prime is 144408281. The next prime is 144408293. The reversal of 144408285 is 582804441.

It is not a de Polignac number, because 144408285 - 22 = 144408281 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144408281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1429735 + ... + 1429835.

It is an arithmetic number, because the mean of its divisors is an integer number (2478600).

Almost surely, 2144408285 is an apocalyptic number.

144408285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144408285 is an abundant number, since it is smaller than the sum of its proper divisors (172852515).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144408285 is a wasteful number, since it uses less digits than its factorization.

144408285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 144408285 is about 12016.9998335691. Note that the first 3 decimals coincide. The cubic root of 144408285 is about 524.6431861194.

The spelling of 144408285 in words is "one hundred forty-four million, four hundred eight thousand, two hundred eighty-five".

Divisors: 1 3 5 7 9 15 17 21 27 35 45 51 63 85 89 101 105 119 135 153 189 255 267 303 315 357 445 459 505 595 623 707 765 801 909 945 1071 1335 1513 1515 1717 1785 1869 2121 2295 2403 2727 3115 3213 3535 4005 4539 4545 5151 5355 5607 6363 7565 8585 8989 9345 10591 10605 12015 12019 13617 13635 15453 16065 16821 19089 22695 25755 26967 28035 31773 31815 36057 40851 44945 46359 52955 60095 62923 68085 77265 80901 84105 95319 95445 108171 134835 152813 158865 180285 188769 204255 231795 242703 285957 314615 324513 404505 458439 476595 540855 566307 764065 943845 1069691 1213515 1375317 1429785 1622565 1698921 2292195 2831535 3209073 4125951 5348455 6876585 8494605 9627219 16045365 20629755 28881657 48136095 144408285