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2324303442144 = 25342833168629
BaseRepresentation
bin100001110100101011010…
…001111111000011100000
322020012102200222122210000
4201310223101333003200
5301040133140122034
64535434213140000
7326632256165025
oct41645321770340
98205380878700
102324303442144
11816805775962
1231657062a600
1313b2474c3a78
14806d565954c
15406d911b599
hex21d2b47f0e0

2324303442144 has 120 divisors (see below), whose sum is σ = 6859868483160. Its totient is φ = 772029874944.

The previous prime is 2324303442133. The next prime is 2324303442289. The reversal of 2324303442144 is 4412443034232.

2324303442144 is a `hidden beast` number, since 2 + 3 + 2 + 430 + 3 + 4 + 4 + 214 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2324303442099 and 2324303442108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 850779 + ... + 2317850.

It is an arithmetic number, because the mean of its divisors is an integer number (57165570693).

Almost surely, 22324303442144 is an apocalyptic number.

2324303442144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2324303442144 is an abundant number, since it is smaller than the sum of its proper divisors (4535565041016).

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

2324303442144 is a wasteful number, since it uses less digits than its factorization.

2324303442144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3168934 (or 3168917 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 2324303442144 its reverse (4412443034232), we get a palindrome (6736746476376).

The spelling of 2324303442144 in words is "two trillion, three hundred twenty-four billion, three hundred three million, four hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 283 288 324 432 566 648 849 864 1132 1296 1698 2264 2547 2592 3396 4528 5094 6792 7641 9056 10188 13584 15282 20376 22923 27168 30564 40752 45846 61128 81504 91692 122256 183384 244512 366768 733536 3168629 6337258 9505887 12674516 19011774 25349032 28517661 38023548 50698064 57035322 76047096 85552983 101396128 114070644 152094192 171105966 228141288 256658949 304188384 342211932 456282576 513317898 684423864 896722007 912565152 1026635796 1368847728 1793444014 2053271592 2690166021 2737695456 3586888028 4106543184 5380332042 7173776056 8070498063 8213086368 10760664084 14347552112 16140996126 21521328168 24211494189 28695104224 32281992252 43042656336 48422988378 64563984504 72634482567 86085312672 96845976756 129127969008 145268965134 193691953512 258255938016 290537930268 387383907024 581075860536 774767814048 1162151721072 2324303442144