Search a number
-
+
144300014300 = 225213199557789
BaseRepresentation
bin1000011001100011110…
…0110111101011011100
3111210110111221020110002
42012120330313223130
54331011300424200
6150142430033432
713265613612101
oct2063074675334
9453414836402
10144300014300
1156219661572
1223b71948878
13107b86b7b60
146dac75aaa8
153b484a9bd5
hex2198f37adc

144300014300 has 72 divisors (see below), whose sum is σ = 338913204000. Its totient is φ = 53012171520.

The previous prime is 144300014293. The next prime is 144300014333. The reversal of 144300014300 is 3410003441.

It is a happy number.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20195 + ... + 537594.

Almost surely, 2144300014300 is an apocalyptic number.

144300014300 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 144300014300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169456602000).

144300014300 is an abundant number, since it is smaller than the sum of its proper divisors (194613189700).

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

144300014300 is a wasteful number, since it uses less digits than its factorization.

144300014300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558015 (or 558008 counting only the distinct ones).

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

Adding to 144300014300 its reverse (3410003441), we get a palindrome (147710017741).

The spelling of 144300014300 in words is "one hundred forty-four billion, three hundred million, fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 199 260 325 398 650 796 995 1300 1990 2587 3980 4975 5174 9950 10348 12935 19900 25870 51740 64675 129350 258700 557789 1115578 2231156 2788945 5577890 7251257 11155780 13944725 14502514 27889450 29005028 36256285 55778900 72512570 111000011 145025140 181281425 222000022 362562850 444000044 555000055 725125700 1110000110 1443000143 2220000220 2775000275 2886000286 5550000550 5772000572 7215000715 11100001100 14430001430 28860002860 36075003575 72150007150 144300014300