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13144141230 = 2351182348397
BaseRepresentation
bin11000011110111001…
…11010110110101110
31020221001000120001120
430033130322312232
5203404400004410
610012140321410
7643503233313
oct141734726656
936831016046
1013144141230
115635585940
122669b43266
1313161cbc7c
148c996ad0a
1551de25570
hex30f73adae

13144141230 has 64 divisors (see below), whose sum is σ = 34456278528. Its totient is φ = 3182520960.

The previous prime is 13144141211. The next prime is 13144141247. The reversal of 13144141230 is 3214144131.

It is a self number, because there is not a number n which added to its sum of digits gives 13144141230.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247392 + ... + 295788.

It is an arithmetic number, because the mean of its divisors is an integer number (538379352).

Almost surely, 213144141230 is an apocalyptic number.

13144141230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13144141230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17228139264).

13144141230 is an abundant number, since it is smaller than the sum of its proper divisors (21312137298).

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

13144141230 is a wasteful number, since it uses less digits than its factorization.

13144141230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49241.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13144141230 its reverse (3214144131), we get a palindrome (16358285361).

The spelling of 13144141230 in words is "thirteen billion, one hundred forty-four million, one hundred forty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 823 1646 2469 4115 4938 8230 9053 12345 18106 24690 27159 45265 48397 54318 90530 96794 135795 145191 241985 271590 290382 483970 532367 725955 1064734 1451910 1597101 2661835 3194202 5323670 7985505 15971010 39830731 79661462 119492193 199153655 238984386 398307310 438138041 597460965 876276082 1194921930 1314414123 2190690205 2628828246 4381380410 6572070615 13144141230