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144403140 = 22357343817
BaseRepresentation
bin10001001101101…
…10101011000100
3101001201102212110
420212312223010
5243431400030
622155021020
73402256260
oct1046665304
9331642773
10144403140
117456a242
124043a770
1323bbc55b
141526d0a0
15ca261b0
hex89b6ac4

144403140 has 48 divisors (see below), whose sum is σ = 462091392. Its totient is φ = 33006336.

The previous prime is 144403139. The next prime is 144403141. The reversal of 144403140 is 41304441.

It is an interprime number because it is at equal distance from previous prime (144403139) and next prime (144403141).

It is a super-4 number, since 4×1444031404 (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (144403141) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 171489 + ... + 172328.

It is an arithmetic number, because the mean of its divisors is an integer number (9626904).

Almost surely, 2144403140 is an apocalyptic number.

144403140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144403140 is an abundant number, since it is smaller than the sum of its proper divisors (317688252).

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

144403140 is a wasteful number, since it uses less digits than its factorization.

144403140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343836 (or 343834 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 144403140 is about 12016.7857599277. The cubic root of 144403140 is about 524.6369553568.

Adding to 144403140 its reverse (41304441), we get a palindrome (185707581).

The spelling of 144403140 in words is "one hundred forty-four million, four hundred three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 343817 687634 1031451 1375268 1719085 2062902 2406719 3438170 4125804 4813438 5157255 6876340 7220157 9626876 10314510 12033595 14440314 20629020 24067190 28880628 36100785 48134380 72201570 144403140