Search a number
-
+
104250330040 = 23543122349559
BaseRepresentation
bin110000100010111001…
…1011100101110111000
3100222002101101110221211
41201011303130232320
53202001041030130
6115520354212504
710350264120163
oct1410563345670
9328071343854
10104250330040
1140237658a5a
1218255284134
139aa525ab2c
14508d738ada
152aa245ba2a
hex1845cdcbb8

104250330040 has 64 divisors (see below), whose sum is σ = 240219302400. Its totient is φ = 40696236672.

The previous prime is 104250330031. The next prime is 104250330061. The reversal of 104250330040 is 40033052401.

It is a junction number, because it is equal to n+sod(n) for n = 104250329993 and 104250330020.

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 15 ways as a sum of consecutive naturals, for example, 2078781 + ... + 2128339.

It is an arithmetic number, because the mean of its divisors is an integer number (3753426600).

Almost surely, 2104250330040 is an apocalyptic number.

104250330040 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 104250330040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120109651200).

104250330040 is an abundant number, since it is smaller than the sum of its proper divisors (135968972360).

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

104250330040 is a wasteful number, since it uses less digits than its factorization.

104250330040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50836 (or 50832 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 104250330040 its reverse (40033052401), we get a palindrome (144283382441).

The spelling of 104250330040 in words is "one hundred four billion, two hundred fifty million, three hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1223 1720 2446 4892 6115 9784 12230 24460 48920 49559 52589 99118 105178 198236 210356 247795 262945 396472 420712 495590 525890 991180 1051780 1982360 2103560 2131037 4262074 8524148 10655185 17048296 21310370 42620740 60610657 85241480 121221314 242442628 303053285 484885256 606106570 1212213140 2424426280 2606258251 5212516502 10425033004 13031291255 20850066008 26062582510 52125165020 104250330040