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4133041242 = 23111031813359
BaseRepresentation
bin1111011001011001…
…0011010001011010
3101200001001020201120
43312112103101122
531431024304432
61522041230110
7204264161631
oct36626232132
911601036646
104133041242
111830aa3070
12974192336
1350b363545
142b2ca6518
15192ca4c2c
hexf659345a

4133041242 has 64 divisors (see below), whose sum is σ = 9158123520. Its totient is φ = 1233057600.

The previous prime is 4133041193. The next prime is 4133041267. The reversal of 4133041242 is 2421403314.

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 31 ways as a sum of consecutive naturals, for example, 1228759 + ... + 1232117.

It is an arithmetic number, because the mean of its divisors is an integer number (143095680).

Almost surely, 24133041242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4133041242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4579061760).

4133041242 is an abundant number, since it is smaller than the sum of its proper divisors (5025082278).

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

4133041242 is a wasteful number, since it uses less digits than its factorization.

4133041242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3659.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4133041242 is about 64288.7333986290. The cubic root of 4133041242 is about 1604.8086121883.

Adding to 4133041242 its reverse (2421403314), we get a palindrome (6554444556).

The spelling of 4133041242 in words is "four billion, one hundred thirty-three million, forty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 103 181 206 309 362 543 618 1086 1133 1991 2266 3359 3399 3982 5973 6718 6798 10077 11946 18643 20154 36949 37286 55929 73898 110847 111858 205073 221694 345977 410146 607979 615219 691954 1037931 1215958 1230438 1823937 2075862 3647874 3805747 6687769 7611494 11417241 13375538 20063307 22834482 40126614 62621837 125243674 187865511 375731022 688840207 1377680414 2066520621 4133041242