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144413020 = 22519513701
BaseRepresentation
bin10001001101110…
…01000101011100
3101001201221102101
420212321011130
5243432204040
622155134444
73402330133
oct1046710534
9331657371
10144413020
1174576704
1240444424
1323bc3bbb
141527291a
15ca2909a
hex89b915c

144413020 has 24 divisors (see below), whose sum is σ = 303504768. Its totient is φ = 57720000.

The previous prime is 144412993. The next prime is 144413033. The reversal of 144413020 is 20314441.

It is a super-3 number, since 3×1444130203 (a number of 25 digits) contains 333 as substring.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 37170 + ... + 40870.

It is an arithmetic number, because the mean of its divisors is an integer number (12646032).

Almost surely, 2144413020 is an apocalyptic number.

144413020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144413020 is an abundant number, since it is smaller than the sum of its proper divisors (159091748).

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

144413020 is a wasteful number, since it uses less digits than its factorization.

144413020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5661 (or 5659 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 144413020 is about 12017.1968445224. The cubic root of 144413020 is about 524.6489202280.

Adding to 144413020 its reverse (20314441), we get a palindrome (164727461).

It can be divided in two parts, 1444130 and 20, that added together give a triangular number (1444150 = T1699).

The spelling of 144413020 in words is "one hundred forty-four million, four hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 20 1951 3701 3902 7402 7804 9755 14804 18505 19510 37010 39020 74020 7220651 14441302 28882604 36103255 72206510 144413020