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24204311340242 = 21131208717005363
BaseRepresentation
bin1011000000011100000010…
…11000010010010011010010
310011200220120001222200001112
411200032001120102103102
511133030412200341432
6123251150201133322
75045463253536065
oct540160130222322
9104626501880045
1024204311340242
117791a99823610
12286ab5aa8a242
1310675c268b727
145d96d00b88dc
152be922a397b2
hex1603816124d2

24204311340242 has 32 divisors (see below), whose sum is σ = 40904294436864. Its totient is φ = 10641955539600.

The previous prime is 24204311340227. The next prime is 24204311340263.

It is a happy number.

24204311340242 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×242043113402423 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24204311340199 and 24204311340208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7079348 + ... + 9926015.

It is an arithmetic number, because the mean of its divisors is an integer number (1278259201152).

Almost surely, 224204311340242 is an apocalyptic number.

24204311340242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24204311340242 is a deficient number, since it is larger than the sum of its proper divisors (16699983096622).

24204311340242 is a wasteful number, since it uses less digits than its factorization.

24204311340242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17007494.

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 2420431 and 1340242, that added together give a palindrome (3760673).

The spelling of 24204311340242 in words is "twenty-four trillion, two hundred four billion, three hundred eleven million, three hundred forty thousand, two hundred forty-two".

Divisors: 1 2 11 22 31 62 341 682 2087 4174 22957 45914 64697 129394 711667 1423334 17005363 34010726 187058993 374117986 527166253 1054332506 5798828783 11597657566 35490192581 70980385162 390392118391 780784236782 1100195970011 2200391940022 12102155670121 24204311340242