Search a number
-
+
12244313140000 = 2554883969263
BaseRepresentation
bin1011001000101101100111…
…1011110110101100100000
31121100112201020100112120021
42302023121323312230200
53101102323130440000
642012543152323224
72402423331311344
oct262133173665440
947315636315507
1012244313140000
1139a0869616a57
121459043843514
136aa831531656
143048b1015624
1516378185911a
hexb22d9ef6b20

12244313140000 has 120 divisors (see below), whose sum is σ = 30126689873280. Its totient is φ = 4897100448000.

The previous prime is 12244313139967. The next prime is 12244313140001. The reversal of 12244313140000 is 4131344221.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (12244313140001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 176745369 + ... + 176814631.

It is an arithmetic number, because the mean of its divisors is an integer number (251055748944).

Almost surely, 212244313140000 is an apocalyptic number.

12244313140000 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 12244313140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15063344936640).

12244313140000 is an abundant number, since it is smaller than the sum of its proper divisors (17882376733280).

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

12244313140000 is an frugal number, since it uses more digits than its factorization.

12244313140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78132 (or 78109 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 12244313140000 its reverse (4131344221), we get a palindrome (12248444484221).

The spelling of 12244313140000 in words is "twelve trillion, two hundred forty-four billion, three hundred thirteen million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 8839 10000 17678 20000 35356 44195 69263 70712 88390 138526 141424 176780 220975 277052 282848 346315 353560 441950 554104 692630 707120 883900 1104875 1108208 1385260 1414240 1731575 1767800 2209750 2216416 2770520 3463150 3535600 4419500 5524375 5541040 6926300 7071200 8657875 8839000 11048750 11082080 13852600 17315750 17678000 22097500 27705200 34631500 35356000 43289375 44195000 55410400 69263000 86578750 88390000 138526000 173157500 176780000 277052000 346315000 612215657 692630000 1224431314 1385260000 2448862628 3061078285 4897725256 6122156570 9795450512 12244313140 15305391425 19590901024 24488626280 30610782850 48977252560 61221565700 76526957125 97954505120 122443131400 153053914250 244886262800 306107828500 382634785625 489772525600 612215657000 765269571250 1224431314000 1530539142500 2448862628000 3061078285000 6122156570000 12244313140000