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23024421304443 = 33131393373533967
BaseRepresentation
bin1010011110000110010100…
…11100111111100001111011
310000112010001111201120212000
411033003022130333201323
511004213003323220233
6120545134554552043
74564313423652216
oct517031234774173
9100463044646760
1023024421304443
117377669643249
1226ba354138623
13cb02694a0630
145985606dc77d
1529ddb858bd13
hex14f0ca73f87b

23024421304443 has 128 divisors (see below), whose sum is σ = 37222684262400. Its totient is φ = 13981941743616.

The previous prime is 23024421304349. The next prime is 23024421304459. The reversal of 23024421304443 is 34440312442032.

23024421304443 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 442 + 130 + 44 + 43 = 666.

It is a de Polignac number, because none of the positive numbers 2k-23024421304443 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23024421304398 and 23024421304407.

It is not an unprimeable number, because it can be changed into a prime (23024421304463) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5803986246 + ... + 5803990212.

It is an arithmetic number, because the mean of its divisors is an integer number (290802220800).

Almost surely, 223024421304443 is an apocalyptic number.

23024421304443 is a deficient number, since it is larger than the sum of its proper divisors (14198262957957).

23024421304443 is a wasteful number, since it uses less digits than its factorization.

23024421304443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4818 (or 4812 counting only the distinct ones).

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

Adding to 23024421304443 its reverse (34440312442032), we get a palindrome (57464733746475).

The spelling of 23024421304443 in words is "twenty-three trillion, twenty-four billion, four hundred twenty-one million, three hundred four thousand, four hundred forty-three".

Divisors: 1 3 9 13 27 39 117 139 337 351 353 417 1011 1059 1251 1807 3033 3177 3753 3967 4381 4589 5421 9099 9531 11901 13143 13767 16263 35703 39429 41301 46843 48789 49067 51571 107109 118287 118961 123903 140529 147201 154713 356883 421587 441603 464139 551413 608959 637871 1070649 1264761 1324809 1336879 1392417 1400351 1546493 1654239 1826877 1913613 3211947 4010637 4201053 4639479 4962717 5480631 5740839 7168369 12031911 12603159 13918437 14888151 16441893 16535579 17222517 17379427 18204563 21505107 36095733 37809477 41755311 49606737 52138281 54613689 64515321 148820211 156414843 163841067 185826181 193545963 194648789 214962527 446460633 469244529 471918287 491523201 557478543 583946367 644887581 1415754861 1672435629 1751839101 1934662743 2415740353 2530434257 4247264583 5017306887 5255517303 5803988229 6134937731 7247221059 7591302771 12741793749 18404813193 21741663177 22773908313 55214439579 65224989531 65596641893 68321724939 165643318737 196789925679 590369777037 852756344609 1771109331111 2558269033827 7674807101481 23024421304443