Search a number
-
+
144443010014300 = 22521789954679511
BaseRepresentation
bin100000110101111011000010…
…010011010101110001011100
3200221102121122201102201101202
4200311323002103111301130
5122413023241030424200
61231112111443055032
742265443304216004
oct4065730223256134
9627377581381352
10144443010014300
1142029a33593578
121424a033971478
136279bc06a946a
142795116a4d004
1511a7462c481d5
hex835ec24d5c5c

144443010014300 has 72 divisors (see below), whose sum is σ = 335608035648480. Its totient is φ = 53767550003200.

The previous prime is 144443010014299. The next prime is 144443010014399. The reversal of 144443010014300 is 3410010344441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 477188456 + ... + 477491055.

It is an arithmetic number, because the mean of its divisors is an integer number (4661222717340).

Almost surely, 2144443010014300 is an apocalyptic number.

144443010014300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144443010014300 is an abundant number, since it is smaller than the sum of its proper divisors (191165025634180).

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

144443010014300 is a wasteful number, since it uses less digits than its factorization.

144443010014300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954679631 (or 954679624 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 144443010014300 its reverse (3410010344441), we get a palindrome (147853020358741).

The spelling of 144443010014300 in words is "one hundred forty-four trillion, four hundred forty-three billion, ten million, fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 89 100 170 178 340 356 425 445 850 890 1513 1700 1780 2225 3026 4450 6052 7565 8900 15130 30260 37825 75650 151300 954679511 1909359022 3818718044 4773397555 9546795110 16229551687 19093590220 23866987775 32459103374 47733975550 64918206748 81147758435 84966476479 95467951100 162295516870 169932952958 324591033740 339865905916 405738792175 424832382395 811477584350 849664764790 1444430100143 1622955168700 1699329529580 2124161911975 2888860200286 4248323823950 5777720400572 7222150500715 8496647647900 14444301001430 28888602002860 36110752503575 72221505007150 144443010014300