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144413300 = 225217219263
BaseRepresentation
bin10001001101110…
…01001001110100
3101001201221210202
420212321021310
5243432211200
622155140032
73402331013
oct1046711164
9331657722
10144413300
1174576939
1240444618
1323bc4075
1415272a7a
15ca291d5
hex89b9274

144413300 has 108 divisors (see below), whose sum is σ = 351748320. Its totient is φ = 51310080.

The previous prime is 144413293. The next prime is 144413327. The reversal of 144413300 is 3314441.

It is a happy number.

144413300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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 35 ways as a sum of consecutive naturals, for example, 548969 + ... + 549231.

Almost surely, 2144413300 is an apocalyptic number.

144413300 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 144413300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175874160).

144413300 is an abundant number, since it is smaller than the sum of its proper divisors (207335020).

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

144413300 is a wasteful number, since it uses less digits than its factorization.

144413300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 144413300 is about 12017.2084944882. The cubic root of 144413300 is about 524.6492593054.

Adding to 144413300 its reverse (3314441), we get a palindrome (147727741).

The spelling of 144413300 in words is "one hundred forty-four million, four hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 17 19 20 25 34 38 50 68 76 85 95 100 170 190 263 289 323 340 380 425 475 526 578 646 850 950 1052 1156 1292 1315 1445 1615 1700 1900 2630 2890 3230 4471 4997 5260 5491 5780 6460 6575 7225 8075 8942 9994 10982 13150 14450 16150 17884 19988 21964 22355 24985 26300 27455 28900 32300 44710 49970 54910 76007 84949 89420 99940 109820 111775 124925 137275 152014 169898 223550 249850 274550 304028 339796 380035 424745 447100 499700 549100 760070 849490 1444133 1520140 1698980 1900175 2123725 2888266 3800350 4247450 5776532 7220665 7600700 8494900 14441330 28882660 36103325 72206650 144413300