Search a number
-
+
144404240320 = 265703964109
BaseRepresentation
bin1000011001111100101…
…0011101011111000000
3111210201210001110200001
42012133022131133000
54331214441142240
6150201032005344
713301320535044
oct2063712353700
9453653043601
10144404240320
115627247a07a
1223ba0830854
131080417b062
146dbc52c024
153b526e689a
hex219f29d7c0

144404240320 has 56 divisors (see below), whose sum is σ = 343916812800. Its totient is φ = 57752589312.

The previous prime is 144404240317. The next prime is 144404240333. The reversal of 144404240320 is 23042404441.

144404240320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2220426 + ... + 2284534.

Almost surely, 2144404240320 is an apocalyptic number.

144404240320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144404240320 is an abundant number, since it is smaller than the sum of its proper divisors (199512572480).

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

144404240320 is an equidigital number, since it uses as much as digits as its factorization.

144404240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71165 (or 71155 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 144404240320 its reverse (23042404441), we get a palindrome (167446644761).

The spelling of 144404240320 in words is "one hundred forty-four billion, four hundred four million, two hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 7039 14078 28156 35195 56312 64109 70390 112624 128218 140780 225248 256436 281560 320545 450496 512872 563120 641090 1025744 1126240 1282180 2051488 2252480 2564360 4102976 5128720 10257440 20514880 451263251 902526502 1805053004 2256316255 3610106008 4512632510 7220212016 9025265020 14440424032 18050530040 28880848064 36101060080 72202120160 144404240320