Search a number
-
+
13144391220 = 22353117340849
BaseRepresentation
bin11000011110111011…
…10111111000110100
31020221001111020222110
430033131313320310
5203404431004340
610012145531020
7643505324202
oct141735677064
936831436873
1013144391220
115635736744
12266a043a70
1313162889ac
148c99d4072
1551de74680
hex30f777e34

13144391220 has 96 divisors (see below), whose sum is σ = 38212070400. Its totient is φ = 3372410880.

The previous prime is 13144391219. The next prime is 13144391257. The reversal of 13144391220 is 2219344131.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 301356 + ... + 342204.

It is an arithmetic number, because the mean of its divisors is an integer number (398042400).

Almost surely, 213144391220 is an apocalyptic number.

13144391220 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 13144391220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19106035200).

13144391220 is an abundant number, since it is smaller than the sum of its proper divisors (25067679180).

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

13144391220 is a wasteful number, since it uses less digits than its factorization.

13144391220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41065 (or 41063 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 13144391220 in words is "thirteen billion, one hundred forty-four million, three hundred ninety-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 173 186 310 346 372 465 519 620 692 865 930 1038 1730 1860 2076 2595 3460 5190 5363 10380 10726 16089 21452 26815 32178 40849 53630 64356 80445 81698 107260 122547 160890 163396 204245 245094 321780 408490 490188 612735 816980 1225470 1266319 2450940 2532638 3798957 5065276 6331595 7066877 7597914 12663190 14133754 15195828 18994785 21200631 25326380 28267508 35334385 37989570 42401262 70668770 75979140 84802524 106003155 141337540 212006310 219073187 424012620 438146374 657219561 876292748 1095365935 1314439122 2190731870 2628878244 3286097805 4381463740 6572195610 13144391220