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144203340320 = 2551369328529
BaseRepresentation
bin1000011001001100110…
…0000101101000100000
3111210012210000200200022
42012103030011220200
54330312023342240
6150125054013012
713263331111544
oct2062314055040
9453183020608
10144203340320
115617a031a16
1223b454a7168
13107a166a210
146d9d993a24
153b3ec609b5
hex2193305a20

144203340320 has 48 divisors (see below), whose sum is σ = 366886580760. Its totient is φ = 53244309504.

The previous prime is 144203340271. The next prime is 144203340353. The reversal of 144203340320 is 23043302441.

It can be written as a sum of positive squares in 4 ways, for example, as 107906994064 + 36296346256 = 328492^2 + 190516^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 144203340320.

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 7 ways as a sum of consecutive naturals, for example, 34662185 + ... + 34666344.

Almost surely, 2144203340320 is an apocalyptic number.

144203340320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144203340320 is an abundant number, since it is smaller than the sum of its proper divisors (222683240440).

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

144203340320 is a wasteful number, since it uses less digits than its factorization.

144203340320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69328557 (or 69328549 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 144203340320 its reverse (23043302441), we get a palindrome (167246642761).

The spelling of 144203340320 in words is "one hundred forty-four billion, two hundred three million, three hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 69328529 138657058 277314116 346642645 554628232 693285290 901270877 1109256464 1386570580 1802541754 2218512928 2773141160 3605083508 4506354385 5546282320 7210167016 9012708770 11092564640 14420334032 18025417540 28840668064 36050835080 72101670160 144203340320