Search a number
-
+
4224421100112 = 2431117148353129
BaseRepresentation
bin111101011110010011000…
…111100111101001010000
3112221211222011120210212220
4331132103013213221100
51023203103300200422
612552401113021040
7614130043612533
oct75362307475120
915854864523786
104224421100112
111389626642834
1258287a0b4780
132484907325b5
1410866a954a1a
1574d483a0e5c
hex3d7931e7a50

4224421100112 has 80 divisors (see below), whose sum is σ = 10930428949440. Its totient is φ = 1405904587776.

The previous prime is 4224421100101. The next prime is 4224421100117. The reversal of 4224421100112 is 2110011244224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4224421100117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79485964 + ... + 79539092.

It is an arithmetic number, because the mean of its divisors is an integer number (136630361868).

Almost surely, 24224421100112 is an apocalyptic number.

It is an amenable number.

4224421100112 is an abundant number, since it is smaller than the sum of its proper divisors (6706007849328).

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

4224421100112 is a wasteful number, since it uses less digits than its factorization.

4224421100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55740 (or 55734 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 4224421100112 its reverse (2110011244224), we get a palindrome (6334432344336).

The spelling of 4224421100112 in words is "four trillion, two hundred twenty-four billion, four hundred twenty-one million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 1117 1483 2234 2966 3351 4449 4468 5932 6702 8898 8936 11864 13404 17796 17872 23728 26808 35592 53129 53616 71184 106258 159387 212516 318774 425032 637548 850064 1275096 1656511 2550192 3313022 4969533 6626044 9939066 13252088 19878132 26504176 39756264 59345093 78790307 79512528 118690186 157580614 178035279 236370921 237380372 315161228 356070558 472741842 474760744 630322456 712141116 945483684 949521488 1260644912 1424282232 1890967368 2848564464 3781934736 88008772919 176017545838 264026318757 352035091676 528052637514 704070183352 1056105275028 1408140366704 2112210550056 4224421100112