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144035145 = 33531127271
BaseRepresentation
bin10001001010111…
…00110101001001
3101001000202002000
420211130311021
5243333111040
622143101213
73366164352
oct1045346511
9331022060
10144035145
1174338811
12402a1809
1323ac0bc7
14151b4d29
15c9a2130
hex895cd49

144035145 has 64 divisors (see below), whose sum is σ = 267386880. Its totient is φ = 73483200.

The previous prime is 144035123. The next prime is 144035153. The reversal of 144035145 is 541530441.

It is a happy number.

144035145 is a `hidden beast` number, since 144 + 0 + 3 + 514 + 5 = 666.

It is not a de Polignac number, because 144035145 - 212 = 144031049 is a prime.

It is a super-2 number, since 2×1440351452 = 41492245990342050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 531360 + ... + 531630.

It is an arithmetic number, because the mean of its divisors is an integer number (4177920).

Almost surely, 2144035145 is an apocalyptic number.

144035145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144035145 is a deficient number, since it is larger than the sum of its proper divisors (123351735).

144035145 is a wasteful number, since it uses less digits than its factorization.

144035145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 144035145 is about 12001.4642856611. The cubic root of 144035145 is about 524.1909170196.

Adding to 144035145 its reverse (541530441), we get a palindrome (685565586).

It can be divided in two parts, 1440 and 35145, that added together give a triangular number (36585 = T270).

The spelling of 144035145 in words is "one hundred forty-four million, thirty-five thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 27 31 45 93 127 135 155 271 279 381 465 635 813 837 1143 1355 1395 1905 2439 3429 3937 4065 4185 5715 7317 8401 11811 12195 17145 19685 25203 34417 35433 36585 42005 59055 75609 103251 106299 126015 172085 177165 226827 309753 378045 516255 531495 929259 1066927 1134135 1548765 3200781 4646295 5334635 9602343 16003905 28807029 48011715 144035145