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444123443241 = 321931319193847
BaseRepresentation
bin1100111011001111101…
…00011111000000101001
31120110100201121112020100
412131213310133000221
524234031100140431
6540005534420013
744041535660142
oct6354764370051
91513321545210
10444123443241
11161396118375
12720a8061609
1332b5aa7353a
14176d2258ac9
15b8453db4e6
hex6767d1f029

444123443241 has 24 divisors (see below), whose sum is σ = 645327745920. Its totient is φ = 294323360256.

The previous prime is 444123443227. The next prime is 444123443249. The reversal of 444123443241 is 142344321444.

It is not a de Polignac number, because 444123443241 - 29 = 444123442729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 444123443196 and 444123443205.

It is not an unprimeable number, because it can be changed into a prime (444123443249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2194180 + ... + 2388026.

It is an arithmetic number, because the mean of its divisors is an integer number (26888656080).

Almost surely, 2444123443241 is an apocalyptic number.

It is an amenable number.

444123443241 is a deficient number, since it is larger than the sum of its proper divisors (201204302679).

444123443241 is a wasteful number, since it uses less digits than its factorization.

444123443241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195365 (or 195362 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 444123443241 its reverse (142344321444), we get a palindrome (586467764685).

It can be divided in two parts, 444123 and 443241, that added together give a square (887364 = 9422).

The spelling of 444123443241 in words is "four hundred forty-four billion, one hundred twenty-three million, four hundred forty-three thousand, two hundred forty-one".

Divisors: 1 3 9 193 579 1319 1737 3957 11871 193847 254567 581541 763701 1744623 2291103 37412471 112237413 255684193 336712239 767052579 2301157737 49347049249 148041147747 444123443241