Search a number
-
+
1244123440 = 24572279787
BaseRepresentation
bin100101000100111…
…1101000100110000
310012201001000111221
41022021331010300
510021443422230
6323241514424
742554606020
oct11211750460
93181030457
101244123440
1158930339a
122a87a2a14
1316a9a2b21
14bb337a80
157435427a
hex4a27d130

1244123440 has 80 divisors (see below), whose sum is σ = 3320716032. Its totient is φ = 424634112.

The previous prime is 1244123407. The next prime is 1244123453. The reversal of 1244123440 is 443214421.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122227 + ... + 132013.

Almost surely, 21244123440 is an apocalyptic number.

1244123440 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 1244123440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660358016).

1244123440 is an abundant number, since it is smaller than the sum of its proper divisors (2076592592).

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

1244123440 is a wasteful number, since it uses less digits than its factorization.

1244123440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10034 (or 10028 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 1244123440 is about 35272.1340437462. The cubic root of 1244123440 is about 1075.5266040810.

Adding to 1244123440 its reverse (443214421), we get a palindrome (1687337861).

The spelling of 1244123440 in words is "one billion, two hundred forty-four million, one hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 227 280 454 560 908 1135 1589 1816 2270 3178 3632 4540 6356 7945 9080 9787 12712 15890 18160 19574 25424 31780 39148 48935 63560 68509 78296 97870 127120 137018 156592 195740 274036 342545 391480 548072 685090 782960 1096144 1370180 2221649 2740360 4443298 5480720 8886596 11108245 15551543 17773192 22216490 31103086 35546384 44432980 62206172 77757715 88865960 124412344 155515430 177731920 248824688 311030860 622061720 1244123440