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4141043010 = 23251314892377
BaseRepresentation
bin1111011011010011…
…0100110101000010
3101200121002210002100
43312310310311002
531440101334020
61522524531230
7204422166456
oct36664646502
911617083070
104141043010
1118355689a5
129769b0b16
1350cc05710
142b3d8a666
15193835a90
hexf6d34d42

4141043010 has 96 divisors (see below), whose sum is σ = 11607588720. Its totient is φ = 1018220544.

The previous prime is 4141042999. The next prime is 4141043029. The reversal of 4141043010 is 103401414.

It can be written as a sum of positive squares in 8 ways, for example, as 395970201 + 3745072809 = 19899^2 + 61197^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1740942 + ... + 1743318.

Almost surely, 24141043010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4141043010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5803794360).

4141043010 is an abundant number, since it is smaller than the sum of its proper divisors (7466545710).

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

4141043010 is a wasteful number, since it uses less digits than its factorization.

4141043010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4141043010 is about 64350.9363568239. The cubic root of 4141043010 is about 1605.8436069391.

Adding to 4141043010 its reverse (103401414), we get a palindrome (4244444424).

The spelling of 4141043010 in words is "four billion, one hundred forty-one million, forty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 1489 2377 2978 4467 4754 7131 7445 8934 11885 13401 14262 14890 19357 21393 22335 23770 26802 30901 35655 38714 42786 44670 58071 61802 67005 71310 92703 96785 106965 116142 134010 154505 174213 185406 193570 213930 278109 290355 309010 348426 463515 556218 580710 871065 927030 1390545 1742130 2781090 3539353 7078706 10618059 17696765 21236118 31854177 35393530 46011589 53090295 63708354 92023178 106180590 138034767 159270885 230057945 276069534 318541770 414104301 460115890 690173835 828208602 1380347670 2070521505 4141043010