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2041141014 = 2321128391117
BaseRepresentation
bin111100110101001…
…0101011100010110
312021020202201002100
41321222111130112
513140013003024
6534312422530
7101403261303
oct17152253426
95236681070
102041141014
11958197500
1248b6a7a46
13266b50363
141551280aa
15be2dc7c9
hex79a95716

2041141014 has 72 divisors (see below), whose sum is σ = 4871215440. Its totient is φ = 617237280.

The previous prime is 2041141013. The next prime is 2041141061. The reversal of 2041141014 is 4101411402.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2041141013) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1826784 + ... + 1827900.

It is an arithmetic number, because the mean of its divisors is an integer number (67655770).

Almost surely, 22041141014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041141014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435607720).

2041141014 is an abundant number, since it is smaller than the sum of its proper divisors (2830074426).

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

2041141014 is a wasteful number, since it uses less digits than its factorization.

2041141014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2041141014 is about 45178.9886340985. The cubic root of 2041141014 is about 1268.5015526074.

Adding to 2041141014 its reverse (4101411402), we get a palindrome (6142552416).

It can be divided in two parts, 20411 and 41014, that added together give a triangular number (61425 = T350).

The spelling of 2041141014 in words is "two billion, forty-one million, one hundred forty-one thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 839 1089 1117 1678 2178 2234 2517 3351 5034 6702 7551 9229 10053 12287 15102 18458 20106 24574 27687 36861 55374 73722 83061 101519 110583 135157 166122 203038 221166 270314 304557 405471 609114 810942 913671 937163 1216413 1827342 1874326 2432826 2811489 5622978 8434467 10308793 16868934 20617586 30926379 61852758 92779137 113396723 185558274 226793446 340190169 680380338 1020570507 2041141014