Search a number
-
+
1244441120 = 255131973037
BaseRepresentation
bin100101000101100…
…1010101000100000
310012201122011021212
41022023022220200
510022034103440
6323252405252
742560401136
oct11213125040
93181564255
101244441120
1158950003a
122a8916828
1316aa845c0
14bb3bb756
15743b8465
hex4a2caa20

1244441120 has 96 divisors (see below), whose sum is σ = 3183265008. Its totient is φ = 457003008.

The previous prime is 1244441083. The next prime is 1244441131. The reversal of 1244441120 is 211444421.

It can be written as a sum of positive squares in 8 ways, for example, as 917120656 + 327320464 = 30284^2 + 18092^2 .

It is a super-2 number, since 2×12444411202 = 3097267402293708800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408242 + ... + 411278.

Almost surely, 21244441120 is an apocalyptic number.

1244441120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1244441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591632504).

1244441120 is an abundant number, since it is smaller than the sum of its proper divisors (1938823888).

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

1244441120 is a wasteful number, since it uses less digits than its factorization.

1244441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3262 (or 3254 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 1244441120 is about 35276.6370279254. The cubic root of 1244441120 is about 1075.6181395356.

Adding to 1244441120 its reverse (211444421), we get a palindrome (1455885541).

The spelling of 1244441120 in words is "one billion, two hundred forty-four million, four hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 197 208 260 394 416 520 788 985 1040 1576 1970 2080 2561 3037 3152 3940 5122 6074 6304 7880 10244 12148 12805 15185 15760 20488 24296 25610 30370 31520 39481 40976 48592 51220 60740 78962 81952 97184 102440 121480 157924 197405 204880 242960 315848 394810 409760 485920 598289 631696 789620 1196578 1263392 1579240 2393156 2991445 3158480 4786312 5982890 6316960 7777757 9572624 11965780 15555514 19145248 23931560 31111028 38888785 47863120 62222056 77777570 95726240 124444112 155555140 248888224 311110280 622220560 1244441120