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2424001041 = 327211499691
BaseRepresentation
bin1001000001111011…
…0101001000010001
320020221012000022100
42100132311020101
514431021013131
61040310431013
7114032445300
oct22036651021
96227160270
102424001041
111034315950
12577962469
132c8270257
1418dd0a437
15e2c177e6
hex907b5211

2424001041 has 36 divisors (see below), whose sum is σ = 4443261264. Its totient is φ = 1259218800.

The previous prime is 2424001039. The next prime is 2424001061. The reversal of 2424001041 is 1401004242.

It is not a de Polignac number, because 2424001041 - 21 = 2424001039 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2424001061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 244995 + ... + 254696.

It is an arithmetic number, because the mean of its divisors is an integer number (123423924).

Almost surely, 22424001041 is an apocalyptic number.

2424001041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2424001041 is a deficient number, since it is larger than the sum of its proper divisors (2019260223).

2424001041 is a wasteful number, since it uses less digits than its factorization.

2424001041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499722 (or 499712 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2424001041 is about 49234.1450722971. The cubic root of 2424001041 is about 1343.3141846073.

Adding to 2424001041 its reverse (1401004242), we get a palindrome (3825005283).

The spelling of 2424001041 in words is "two billion, four hundred twenty-four million, one thousand, forty-one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 147 231 441 539 693 1617 4851 499691 1499073 3497837 4497219 5496601 10493511 16489803 24484859 31480533 38476207 49469409 73454577 115428621 220363731 269333449 346285863 808000347 2424001041