Search a number
-
+
2302035231040 = 26517423168241
BaseRepresentation
bin100001011111111011111…
…111100000000101000000
322011001221210102022211121
4201133323333200011000
5300204032004343130
64521312420122024
7325213402415536
oct41377377400500
98131853368747
102302035231040
11808318968306
12312196b36314
13139108c242ac
147d5c201c156
153ed341acd7a
hex217fbfe0140

2302035231040 has 56 divisors (see below), whose sum is σ = 5804175607272. Its totient is φ = 866648555520.

The previous prime is 2302035230927. The next prime is 2302035231077. The reversal of 2302035231040 is 401325302032.

2302035231040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 376446056704 + 1925589174336 = 613552^2 + 1387656^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2302035230996 and 2302035231014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211578681 + ... + 211589560.

It is an arithmetic number, because the mean of its divisors is an integer number (103645992987).

Almost surely, 22302035231040 is an apocalyptic number.

2302035231040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2302035231040 is an abundant number, since it is smaller than the sum of its proper divisors (3502140376232).

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

2302035231040 is a wasteful number, since it uses less digits than its factorization.

2302035231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423168275 (or 423168265 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The spelling of 2302035231040 in words is "two trillion, three hundred two billion, thirty-five million, two hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 5440 423168241 846336482 1692672964 2115841205 3385345928 4231682410 6770691856 7193860097 8463364820 13541383712 14387720194 16926729640 27082767424 28775440388 33853459280 35969300485 57550880776 67706918560 71938600970 115101761552 135413837120 143877201940 230203523104 287754403880 460407046208 575508807760 1151017615520 2302035231040