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23220044343441 = 32112236131512331
BaseRepresentation
bin1010100011110010101100…
…11111101010100010010001
310001012210222210222121121200
411101321112133222202101
511020414122322442231
6121215050251341413
74614410226235041
oct521712637524221
9101183883877550
1023220044343441
117442624760900
122730249a51869
13cc5843a6524a
145a3bdb381721
152a4017628be6
hex151e567ea891

23220044343441 has 72 divisors (see below), whose sum is σ = 38532017404608. Its totient is φ = 13438927339200.

The previous prime is 23220044343413. The next prime is 23220044343479. The reversal of 23220044343441 is 14434344002232.

23220044343441 is a `hidden beast` number, since 2 + 3 + 2 + 200 + 4 + 4 + 3 + 4 + 3 + 441 = 666.

It is not a de Polignac number, because 23220044343441 - 223 = 23220035954833 is a prime.

It is a super-3 number, since 3×232200443434413 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 23220044343396 and 23220044343405.

It is not an unprimeable number, because it can be changed into a prime (23220044343641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14597646 + ... + 16109976.

Almost surely, 223220044343441 is an apocalyptic number.

It is an amenable number.

23220044343441 is a deficient number, since it is larger than the sum of its proper divisors (15311973061167).

23220044343441 is a wasteful number, since it uses less digits than its factorization.

23220044343441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512995 (or 1512981 counting only the distinct ones).

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

Adding to 23220044343441 its reverse (14434344002232), we get a palindrome (37654388345673).

The spelling of 23220044343441 in words is "twenty-three trillion, two hundred twenty billion, forty-four million, three hundred forty-three thousand, four hundred forty-one".

Divisors: 1 3 9 11 23 33 69 99 121 207 253 363 613 759 1089 1839 2277 2783 5517 6743 8349 14099 20229 25047 42297 60687 74173 126891 155089 222519 465267 667557 1395801 1512331 1705979 4536993 5117937 13610979 15353811 16635641 34783613 49906923 104350839 149720769 182992051 313052517 382619743 548976153 927058903 1147859229 1646928459 2781176709 3443577687 4208817173 8343530127 10197647933 12626451519 21322354769 30592943799 37879354557 63967064307 91778831397 112174127263 191901192921 234545902459 336522381789 703637707377 1009567145367 2110913122131 2580004927049 7740014781147 23220044343441