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144413442 = 236372677
BaseRepresentation
bin10001001101110…
…01001100000010
3101001201222000000
420212321030002
5243432212232
622155140430
73402331305
oct1046711402
9331658000
10144413442
1174576a58
1240444716
1323bc4154
1415272b3c
15ca2927c
hex89b9302

144413442 has 56 divisors (see below), whose sum is σ = 333684156. Its totient is φ = 46819296.

The previous prime is 144413387. The next prime is 144413473. The reversal of 144413442 is 244314441.

It can be written as a sum of positive squares in 2 ways, for example, as 143065521 + 1347921 = 11961^2 + 1161^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 52608 + ... + 55284.

Almost surely, 2144413442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144413442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166842078).

144413442 is an abundant number, since it is smaller than the sum of its proper divisors (189270714).

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

144413442 is an equidigital number, since it uses as much as digits as its factorization.

144413442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734 (or 2719 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 144413442 is about 12017.2144026808. The cubic root of 144413442 is about 524.6494312660.

Adding to 144413442 its reverse (244314441), we get a palindrome (388727883).

Subtracting 144413442 from its reverse (244314441), we obtain a palindrome (99900999).

The spelling of 144413442 in words is "one hundred forty-four million, four hundred thirteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 243 333 486 666 729 999 1458 1998 2677 2997 5354 5994 8031 8991 16062 17982 24093 26973 48186 53946 72279 99049 144558 198098 216837 297147 433674 594294 650511 891441 1301022 1782882 1951533 2674323 3903066 5348646 8022969 16045938 24068907 48137814 72206721 144413442