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24324244242342 = 231114910111244633
BaseRepresentation
bin1011000011111011011011…
…11011111111111110100110
310012010101010101220100112120
411201331231323333332212
511142012023011223332
6123422223055330410
75060240306432562
oct541755573777646
9105111111810476
1024324244242342
11782894381a020
12288a250220a06
1310759c69b21a5
1460142a5566a2
152c2ae1b8932c
hex161f6defffa6

24324244242342 has 64 divisors (see below), whose sum is σ = 53432762572800. Its totient is φ = 7320759379200.

The previous prime is 24324244242323. The next prime is 24324244242371.

24324244242342 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×243242442423422 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24324244242294 and 24324244242303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99309258 + ... + 99553890.

It is an arithmetic number, because the mean of its divisors is an integer number (834886915200).

Almost surely, 224324244242342 is an apocalyptic number.

24324244242342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24324244242342 is an abundant number, since it is smaller than the sum of its proper divisors (29108518330458).

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

24324244242342 is a wasteful number, since it uses less digits than its factorization.

24324244242342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254909.

The product of its digits is 2359296, while the sum is 42.

It can be divided in two parts, 2432424 and 4242342, that added together give a palindrome (6674766).

The spelling of 24324244242342 in words is "twenty-four trillion, three hundred twenty-four billion, two hundred forty-four million, two hundred forty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 149 298 447 894 1639 3278 4917 9834 10111 20222 30333 60666 111221 222442 244633 333663 489266 667326 733899 1467798 1506539 2690963 3013078 4519617 5381926 8072889 9039234 16145778 16571929 33143858 36450317 49715787 72900634 99431574 109350951 218701902 400953487 801906974 1202860461 2405720922 2473484263 4946968526 7420452789 14840905578 27208326893 54416653786 81624980679 163249961358 368549155187 737098310374 1105647465561 2211294931122 4054040707057 8108081414114 12162122121171 24324244242342