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24334341042 = 23111722994709
BaseRepresentation
bin10110101010011100…
…001001001110110010
32022210220100121101110
4112222130021032302
5344314042403132
615102401214150
71521012325464
oct265234111662
968726317343
1024334341042
11a358112660
124871631356
1323aa65bc8b
14126bbcc134
159765351cc
hex5aa7093b2

24334341042 has 64 divisors (see below), whose sum is σ = 56462313600. Its totient is φ = 6909895680.

The previous prime is 24334341037. The next prime is 24334341047. The reversal of 24334341042 is 24014343342.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (24334341037) and next prime (24334341047).

It is not an unprimeable number, because it can be changed into a prime (24334341047) 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, 209584 + ... + 304292.

It is an arithmetic number, because the mean of its divisors is an integer number (882223650).

Almost surely, 224334341042 is an apocalyptic number.

24334341042 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 24334341042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28231156800).

24334341042 is an abundant number, since it is smaller than the sum of its proper divisors (32127972558).

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

24334341042 is a wasteful number, since it uses less digits than its factorization.

24334341042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94971.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 24334341042 its reverse (24014343342), we get a palindrome (48348684384).

The spelling of 24334341042 in words is "twenty-four billion, three hundred thirty-four million, three hundred forty-one thousand, forty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 229 374 458 561 687 1122 1374 2519 3893 5038 7557 7786 11679 15114 23358 42823 85646 94709 128469 189418 256938 284127 568254 1041799 1610053 2083598 3125397 3220106 4830159 6250794 9660318 17710583 21688361 35421166 43376722 53131749 65065083 106263498 130130166 238571971 368702137 477143942 715715913 737404274 1106106411 1431431826 2212212822 4055723507 8111447014 12167170521 24334341042