Search a number
-
+
144341200300 = 225211433051611
BaseRepresentation
bin1000011001101101100…
…1111110110110101100
3111210120101102201000111
42012123121332312230
54331102321402200
6150150500505404
713266623646643
oct2063331766654
9453511381014
10144341200300
115623a932190
1223b836ab264
13107c40a847b
146db3ddc35a
153b4bde30ba
hex219b67edac

144341200300 has 72 divisors (see below), whose sum is σ = 349641496512. Its totient is φ = 51267048000.

The previous prime is 144341200253. The next prime is 144341200313. The reversal of 144341200300 is 3002143441.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 1478506 + ... + 1573105.

It is an arithmetic number, because the mean of its divisors is an integer number (4856131896).

Almost surely, 2144341200300 is an apocalyptic number.

144341200300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144341200300 is an abundant number, since it is smaller than the sum of its proper divisors (205300296212).

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

144341200300 is a wasteful number, since it uses less digits than its factorization.

144341200300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3051679 (or 3051672 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 144341200300 its reverse (3002143441), we get a palindrome (147343343741).

The spelling of 144341200300 in words is "one hundred forty-four billion, three hundred forty-one million, two hundred thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 43 44 50 55 86 100 110 172 215 220 275 430 473 550 860 946 1075 1100 1892 2150 2365 4300 4730 9460 11825 23650 47300 3051611 6103222 12206444 15258055 30516110 33567721 61032220 67135442 76290275 131219273 134270884 152580550 167838605 262438546 305161100 335677210 524877092 656096365 671354420 839193025 1312192730 1443412003 1678386050 2624385460 2886824006 3280481825 3356772100 5773648012 6560963650 7217060015 13121927300 14434120030 28868240060 36085300075 72170600150 144341200300