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24231011442 = 23114329172927
BaseRepresentation
bin10110100100010001…
…111110010001110010
32022112200220220211020
4112210101332101302
5344111114331232
615044230400310
71515316125141
oct264421762162
968480826736
1024231011442
11a3048575a0
124842b00096
132392120ac1
14125c1b1758
1596c423e2c
hex5a447e472

24231011442 has 64 divisors (see below), whose sum is σ = 54134175744. Its totient is φ = 7167061440.

The previous prime is 24231011423. The next prime is 24231011449. The reversal of 24231011442 is 24411013242.

It is not an unprimeable number, because it can be changed into a prime (24231011449) 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 31 ways as a sum of consecutive naturals, for example, 8276983 + ... + 8279909.

It is an arithmetic number, because the mean of its divisors is an integer number (845846496).

Almost surely, 224231011442 is an apocalyptic number.

24231011442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 24231011442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27067087872).

24231011442 is an abundant number, since it is smaller than the sum of its proper divisors (29903164302).

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

24231011442 is a wasteful number, since it uses less digits than its factorization.

24231011442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5903.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 24231011442 its reverse (24411013242), we get a palindrome (48642024684).

The spelling of 24231011442 in words is "twenty-four billion, two hundred thirty-one million, eleven thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 258 473 946 1419 2838 2917 2927 5834 5854 8751 8781 17502 17562 32087 32197 64174 64394 96261 96591 125431 125861 192522 193182 250862 251722 376293 377583 752586 755166 1379741 1384471 2759482 2768942 4139223 4153413 8278446 8306826 8538059 17076118 25614177 51228354 93918649 187837298 281755947 367136537 563511894 734273074 1101409611 2202819222 4038501907 8077003814 12115505721 24231011442