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144410420 = 225711791187
BaseRepresentation
bin10001001101110…
…00011100110100
3101001201210212002
420212320130310
5243432113140
622155114432
73402316430
oct1046703464
9331653762
10144410420
1174574760
1240442a18
1323bc296b
14152719c0
15ca28415
hex89b8734

144410420 has 96 divisors (see below), whose sum is σ = 383201280. Its totient is φ = 44403840.

The previous prime is 144410419. The next prime is 144410423. The reversal of 144410420 is 24014441.

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 = 144410392 and 144410401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144410423) 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 31 ways as a sum of consecutive naturals, for example, 121067 + ... + 122253.

It is an arithmetic number, because the mean of its divisors is an integer number (3991680).

Almost surely, 2144410420 is an apocalyptic number.

144410420 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 144410420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191600640).

144410420 is an abundant number, since it is smaller than the sum of its proper divisors (238790860).

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

144410420 is a wasteful number, since it uses less digits than its factorization.

144410420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1291 counting only the distinct ones).

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

The square root of 144410420 is about 12017.0886657293. The cubic root of 144410420 is about 524.6457716305.

Adding to 144410420 its reverse (24014441), we get a palindrome (168424861).

The spelling of 144410420 in words is "one hundred forty-four million, four hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 79 110 140 154 158 220 308 316 385 395 553 770 790 869 1106 1187 1540 1580 1738 2212 2374 2765 3476 4345 4748 5530 5935 6083 8309 8690 11060 11870 12166 13057 16618 17380 23740 24332 26114 30415 33236 41545 52228 60830 65285 83090 91399 93773 121660 130570 166180 182798 187546 261140 365596 375092 456995 468865 656411 913990 937730 1031503 1312822 1827980 1875460 2063006 2625644 3282055 4126012 5157515 6564110 7220521 10315030 13128220 14441042 20630060 28882084 36102605 72205210 144410420