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144044120 = 235112691217
BaseRepresentation
bin10001001010111…
…11000001011000
3101001001012101102
420211133001120
5243333402440
622143210532
73366232463
oct1045370130
9331035342
10144044120
1174344530
12402a6a48
1323ac500c
14151b82da
15c9a4b15
hex895f058

144044120 has 64 divisors (see below), whose sum is σ = 355168800. Its totient is φ = 52142080.

The previous prime is 144044081. The next prime is 144044123. The reversal of 144044120 is 21440441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 144044092 and 144044101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144044123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117752 + ... + 118968.

Almost surely, 2144044120 is an apocalyptic number.

144044120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144044120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177584400).

144044120 is an abundant number, since it is smaller than the sum of its proper divisors (211124680).

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

144044120 is a wasteful number, since it uses less digits than its factorization.

144044120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 144044120 is about 12001.8381925437. The cubic root of 144044120 is about 524.2018044452.

Adding to 144044120 its reverse (21440441), we get a palindrome (165484561).

The spelling of 144044120 in words is "one hundred forty-four million, forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 269 440 538 1076 1217 1345 2152 2434 2690 2959 4868 5380 5918 6085 9736 10760 11836 12170 13387 14795 23672 24340 26774 29590 48680 53548 59180 66935 107096 118360 133870 267740 327373 535480 654746 1309492 1636865 2618984 3273730 3601103 6547460 7202206 13094920 14404412 18005515 28808824 36011030 72022060 144044120