Search a number
-
+
144009117 = 3374491697
BaseRepresentation
bin10001001010101…
…10011110011101
3101000222102101000
420211112132131
5243331242432
622142340513
73366025440
oct1045263635
9330872330
10144009117
11743201aa
124028a739
1323ab20c5
14151a9657
15c99957c
hex895679d

144009117 has 32 divisors (see below), whose sum is σ = 244512000. Its totient is φ = 82059264.

The previous prime is 144009101. The next prime is 144009119. The reversal of 144009117 is 711900441.

It is not a de Polignac number, because 144009117 - 24 = 144009101 is a prime.

It is a super-3 number, since 3×1440091173 (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144009119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84013 + ... + 85709.

It is an arithmetic number, because the mean of its divisors is an integer number (7641000).

Almost surely, 2144009117 is an apocalyptic number.

It is an amenable number.

144009117 is a deficient number, since it is larger than the sum of its proper divisors (100502883).

144009117 is a wasteful number, since it uses less digits than its factorization.

144009117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 144009117 is about 12000.3798689875. The cubic root of 144009117 is about 524.1593403210.

Adding to 144009117 its reverse (711900441), we get a palindrome (855909558).

The spelling of 144009117 in words is "one hundred forty-four million, nine thousand, one hundred seventeen".

Divisors: 1 3 7 9 21 27 63 189 449 1347 1697 3143 4041 5091 9429 11879 12123 15273 28287 35637 45819 84861 106911 320733 761953 2285859 5333671 6857577 16001013 20572731 48003039 144009117