Search a number
-
+
13144150140 = 22351121919479
BaseRepresentation
bin11000011110111001…
…11101000001111100
31020221001001000021120
430033130331001330
5203404400301030
610012140430540
7643503301302
oct141734750174
936831030246
1013144150140
115635591600
122669b48450
131316203044
148c9970272
1551de28010
hex30f73d07c

13144150140 has 144 divisors (see below), whose sum is σ = 40669655040. Its totient is φ = 3169443200.

The previous prime is 13144150139. The next prime is 13144150157. The reversal of 13144150140 is 4105144131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13144150140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1381921 + ... + 1391399.

It is an arithmetic number, because the mean of its divisors is an integer number (282428160).

Almost surely, 213144150140 is an apocalyptic number.

13144150140 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 13144150140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20334827520).

13144150140 is an abundant number, since it is smaller than the sum of its proper divisors (27525504900).

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

13144150140 is a wasteful number, since it uses less digits than its factorization.

13144150140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9704 (or 9691 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 13144150140 its reverse (4105144131), we get a palindrome (17249294271).

The spelling of 13144150140 in words is "thirteen billion, one hundred forty-four million, one hundred fifty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 191 220 242 330 363 382 484 573 605 660 726 764 955 1146 1210 1452 1815 1910 2101 2292 2420 2865 3630 3820 4202 5730 6303 7260 8404 9479 10505 11460 12606 18958 21010 23111 25212 28437 31515 37916 42020 46222 47395 56874 63030 69333 92444 94790 104269 113748 115555 126060 138666 142185 189580 208538 231110 277332 284370 312807 346665 417076 462220 521345 568740 625614 693330 1042690 1146959 1251228 1386660 1564035 1810489 2085380 2293918 3128070 3440877 3620978 4587836 5431467 5734795 6256140 6881754 7241956 9052445 10862934 11469590 13763508 17204385 18104890 19915379 21725868 22939180 27157335 34408770 36209780 39830758 54314670 59746137 68817540 79661516 99576895 108629340 119492274 199153790 219069169 238984548 298730685 398307580 438138338 597461370 657207507 876276676 1095345845 1194922740 1314415014 2190691690 2628830028 3286037535 4381383380 6572075070 13144150140