Search a number
-
+
144444332202340 = 22529416074193953
BaseRepresentation
bin100000110101111100010001…
…000111000101100101100100
3200221102202001212100211102011
4200311330101013011211210
5122413033443020433330
61231112450554124004
742265521130510432
oct4065742107054544
9627382055324364
10144444332202340
114202a551965a65
121424a342720604
13627a0715b2751
1427952004a7d52
1511a74ddd6c82a
hex835f111c5964

144444332202340 has 48 divisors (see below), whose sum is σ = 321446344045680. Its totient is φ = 54424777809920.

The previous prime is 144444332202323. The next prime is 144444332202341. The reversal of 144444332202340 is 43202233444441.

144444332202340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 32553506202624 + 111890825999716 = 5705568^2 + 10577846^2 .

It is a junction number, because it is equal to n+sod(n) for n = 144444332202293 and 144444332202302.

It is not an unprimeable number, because it can be changed into a prime (144444332202341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3037073197 + ... + 3037120756.

It is an arithmetic number, because the mean of its divisors is an integer number (6696798834285).

Almost surely, 2144444332202340 is an apocalyptic number.

144444332202340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144444332202340 is an abundant number, since it is smaller than the sum of its proper divisors (177002011843340).

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

144444332202340 is a wasteful number, since it uses less digits than its factorization.

144444332202340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6074194032 (or 6074194030 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 40.

Adding to 144444332202340 its reverse (43202233444441), we get a palindrome (187646565646781).

The spelling of 144444332202340 in words is "one hundred forty-four trillion, four hundred forty-four billion, three hundred thirty-two million, two hundred two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 41 58 82 116 145 164 205 290 410 580 820 1189 2378 4756 5945 11890 23780 6074193953 12148387906 24296775812 30370969765 60741939530 121483879060 176151624637 249041952073 352303249274 498083904146 704606498548 880758123185 996167808292 1245209760365 1761516246370 2490419520730 3523032492740 4980839041460 7222216610117 14444433220234 28888866440468 36111083050585 72222166101170 144444332202340