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24023142220242 = 23115916093834227
BaseRepresentation
bin1010111011001010100101…
…10110111100000111010010
310011001120221002022210200010
411131211102312330013102
511122043343402021432
6123032025034135350
75026420600452624
oct535452266740722
9104046832283603
1024023142220242
117722180557260
12283ba19881556
1310534ac7753c9
145d0a24d0ac14
152b9d6c8953cc
hex15d952dbc1d2

24023142220242 has 64 divisors (see below), whose sum is σ = 53335645171200. Its totient is φ = 7151905073280.

The previous prime is 24023142220241. The next prime is 24023142220243. The reversal of 24023142220242 is 24202224132042.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (24023142220241) and next prime (24023142220243).

It is a super-2 number, since 2×240231422202422 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (24023142220241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4348333 + ... + 8182559.

It is an arithmetic number, because the mean of its divisors is an integer number (833369455800).

Almost surely, 224023142220242 is an apocalyptic number.

24023142220242 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 24023142220242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26667822585600).

24023142220242 is an abundant number, since it is smaller than the sum of its proper divisors (29312502950958).

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

24023142220242 is a wasteful number, since it uses less digits than its factorization.

24023142220242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3835911.

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 24023142220242 its reverse (24202224132042), we get a palindrome (48225366352284).

The spelling of 24023142220242 in words is "twenty-four trillion, twenty-three billion, one hundred forty-two million, two hundred twenty thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 59 66 118 177 354 649 1298 1609 1947 3218 3894 4827 9654 17699 35398 53097 94931 106194 189862 284793 569586 1044241 2088482 3132723 3834227 6265446 7668454 11502681 23005362 42176497 84352994 126529491 226219393 253058982 452438786 678658179 1357316358 2488413323 4976826646 6169271243 7465239969 12338542486 14930479938 18507813729 37015627458 67861983673 135723967346 203585951019 363987003337 407171902038 727974006674 1091961010011 2183922020022 4003857036707 8007714073414 12011571110121 24023142220242