Search a number
-
+
180306130814250 = 2353743978232403
BaseRepresentation
bin101000111111110011001010…
…111000001100010100101010
3212122102002122021022012202020
4220333303022320030110222
5142113113423442024000
61435251254253045310
752656455002255260
oct5077631270142452
9778362567265666
10180306130814250
11524a6445301051
1218280652486836
13797ba45014aac
143274c12c4a430
1515ca299c3eba0
hexa3fccae0c52a

180306130814250 has 128 divisors (see below), whose sum is σ = 515507732213760. Its totient is φ = 41118950491200.

The previous prime is 180306130814237. The next prime is 180306130814261. The reversal of 180306130814250 is 52418031603081.

It is a happy number.

180306130814250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36811452 + ... + 41420951.

It is an arithmetic number, because the mean of its divisors is an integer number (4027404157920).

Almost surely, 2180306130814250 is an apocalyptic number.

180306130814250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

180306130814250 is an abundant number, since it is smaller than the sum of its proper divisors (335201601399510).

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

180306130814250 is a wasteful number, since it uses less digits than its factorization.

180306130814250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78232869 (or 78232859 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 180306130814250 in words is "one hundred eighty trillion, three hundred six billion, one hundred thirty million, eight hundred fourteen thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 125 150 175 210 250 350 375 439 525 750 875 878 1050 1317 1750 2195 2625 2634 3073 4390 5250 6146 6585 9219 10975 13170 15365 18438 21950 30730 32925 46095 54875 65850 76825 92190 109750 153650 164625 230475 329250 384125 460950 768250 1152375 2304750 78232403 156464806 234697209 391162015 469394418 547626821 782324030 1095253642 1173486045 1642880463 1955810075 2346972090 2738134105 3285760926 3911620150 5476268210 5867430225 8214402315 9779050375 11734860450 13690670525 16428804630 19558100750 27381341050 29337151125 34344024917 41072011575 58674302250 68453352625 68688049834 82144023150 103032074751 136906705250 171720124585 205360057875 206064149502 240408174419 343440249170 410720115750 480816348838 515160373755 721224523257 858600622925 1030320747510 1202040872095 1442449046514 1717201245850 2404081744190 2575801868775 3606122616285 4293003114625 5151603737550 6010204360475 7212245232570 8586006229250 12020408720950 12879009343875 18030613081425 25758018687750 30051021802375 36061226162850 60102043604750 90153065407125 180306130814250