Search a number
-
+
13442240130 = 23511173241977
BaseRepresentation
bin11001000010011100…
…00100111010000010
31021200210221112212120
430201032010322002
5210012203141010
610101505505110
7654053104314
oct144116047202
937623845776
1013442240130
115778880a70
122731942196
131362bb2657
149173a77b4
1553a1aae70
hex321384e82

13442240130 has 128 divisors (see below), whose sum is σ = 35580923136. Its totient is φ = 3223142400.

The previous prime is 13442240113. The next prime is 13442240171. The reversal of 13442240130 is 3104224431.

It is a self number, because there is not a number n which added to its sum of digits gives 13442240130.

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 63 ways as a sum of consecutive naturals, for example, 13758202 + ... + 13759178.

It is an arithmetic number, because the mean of its divisors is an integer number (277975962).

Almost surely, 213442240130 is an apocalyptic number.

13442240130 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 13442240130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17790461568).

13442240130 is an abundant number, since it is smaller than the sum of its proper divisors (22138683006).

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

13442240130 is a wasteful number, since it uses less digits than its factorization.

13442240130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13442240130 its reverse (3104224431), we get a palindrome (16546464561).

The spelling of 13442240130 in words is "thirteen billion, four hundred forty-two million, two hundred forty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 173 241 330 346 482 519 723 865 977 1038 1205 1446 1730 1903 1954 2410 2595 2651 2931 3615 3806 4885 5190 5302 5709 5862 7230 7953 9515 9770 10747 11418 13255 14655 15906 19030 21494 26510 28545 29310 32241 39765 41693 53735 57090 64482 79530 83386 107470 125079 161205 169021 208465 235457 250158 322410 338042 416930 458623 470914 507063 625395 706371 845105 917246 1014126 1177285 1250790 1375869 1412742 1690210 1859231 2293115 2354570 2535315 2590027 2751738 3531855 3718462 4586230 5070630 5180054 5577693 6879345 7063710 7770081 9296155 11155386 12950135 13758690 15540162 18592310 25900270 27888465 38850405 40734061 55776930 77700810 81468122 122202183 203670305 244404366 407340610 448074671 611010915 896149342 1222021830 1344224013 2240373355 2688448026 4480746710 6721120065 13442240130