Search a number
-
+
444444110440 = 235114992024249
BaseRepresentation
bin1100111011110101110…
…11101110111001101000
31120111012002000002221021
412131322323232321220
524240210143013230
6540101431422224
744052511415011
oct6357273567150
91514162002837
10444444110440
11161540128390
1272177524974
1332bac329345
1417722a8c008
15b86362dc7a
hex677aeeee68

444444110440 has 64 divisors (see below), whose sum is σ = 1093095000000. Its totient is φ = 161292080640.

The previous prime is 444444110431. The next prime is 444444110501. The reversal of 444444110440 is 44011444444.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 444444110396 and 444444110405.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 792565 + ... + 1231684.

It is an arithmetic number, because the mean of its divisors is an integer number (17079609375).

Almost surely, 2444444110440 is an apocalyptic number.

444444110440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444444110440 is an abundant number, since it is smaller than the sum of its proper divisors (648650889560).

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

444444110440 is a wasteful number, since it uses less digits than its factorization.

444444110440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024770 (or 2024766 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 34.

Adding to 444444110440 its reverse (44011444444), we get a palindrome (488455554884).

The spelling of 444444110440 in words is "four hundred forty-four billion, four hundred forty-four million, one hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 499 998 1996 2495 3992 4990 5489 9980 10978 19960 21956 27445 43912 54890 109780 219560 2024249 4048498 8096996 10121245 16193992 20242490 22266739 40484980 44533478 80969960 89066956 111333695 178133912 222667390 445334780 890669560 1010100251 2020200502 4040401004 5050501255 8080802008 10101002510 11111102761 20202005020 22222205522 40404010040 44444411044 55555513805 88888822088 111111027610 222222055220 444444110440