Search a number
-
+
1800188041230 = 2325171834164151
BaseRepresentation
bin11010001100100011100…
…100011001100000001110
320101002121012101122112200
4122030203210121200032
5213443241114304410
63454554525142330
7244026223610145
oct32144344314016
96332535348480
101800188041230
11634501244867
12250a7b3ba9a6
131009ac1a31c7
14631b575a75c
1531c612ee3c0
hex1a32391980e

1800188041230 has 96 divisors (see below), whose sum is σ = 4956159244608. Its totient is φ = 451780224000.

The previous prime is 1800188041229. The next prime is 1800188041241. The reversal of 1800188041230 is 321408810081.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28029655 + ... + 28093805.

It is an arithmetic number, because the mean of its divisors is an integer number (51626658798).

Almost surely, 21800188041230 is an apocalyptic number.

1800188041230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1800188041230 is an abundant number, since it is smaller than the sum of its proper divisors (3155971203378).

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

1800188041230 is a wasteful number, since it uses less digits than its factorization.

1800188041230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82522 (or 82519 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 1800188041230 in words is "one trillion, eight hundred billion, one hundred eighty-eight million, forty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 18341 36682 55023 64151 91705 110046 128302 165069 183410 192453 275115 311797 320755 330138 384906 550230 577359 623594 641510 825345 935391 962265 1090567 1154718 1558985 1650690 1870782 1924530 2181134 2806173 2886795 3117970 3271701 4676955 5452835 5612346 5773590 6543402 9353910 9815103 10905670 14030865 16358505 19630206 28061730 32717010 49075515 98151030 1176593491 2353186982 3529780473 5882967455 7059560946 10589341419 11765934910 17648902365 20002089347 21178682838 35297804730 40004178694 52946707095 60006268041 100010446735 105893414190 120012536082 180018804123 200020893470 300031340205 360037608246 600062680410 900094020615 1800188041230