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33144140133 = 321323591071951
BaseRepresentation
bin11110110111100010…
…110111000101100101
310011112212112202210200
4132313202313011211
51020334344441013
623120505541113
72252225354106
oct366742670545
9104485482720
1033144140133
1113069004055
12650baa4799
1331828a6250
141865c523ad
15cdeb90e73
hex7b78b7165

33144140133 has 96 divisors (see below), whose sum is σ = 55250657280. Its totient is φ = 18989942400.

The previous prime is 33144140111. The next prime is 33144140147. The reversal of 33144140133 is 33104144133.

It is not a de Polignac number, because 33144140133 - 26 = 33144140069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 33144140097 and 33144140106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33144140033) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16987308 + ... + 16989258.

It is an arithmetic number, because the mean of its divisors is an integer number (575527680).

Almost surely, 233144140133 is an apocalyptic number.

It is an amenable number.

33144140133 is a deficient number, since it is larger than the sum of its proper divisors (22106517147).

33144140133 is a wasteful number, since it uses less digits than its factorization.

33144140133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 33144140133 its reverse (33104144133), we get a palindrome (66248284266).

The spelling of 33144140133 in words is "thirty-three billion, one hundred forty-four million, one hundred forty thousand, one hundred thirty-three".

Divisors: 1 3 9 13 23 39 59 69 107 117 177 207 299 321 531 767 897 963 1357 1391 1951 2301 2461 2691 4071 4173 5853 6313 6903 7383 12213 12519 17559 17641 18939 22149 25363 31993 44873 52923 56817 76089 82069 95979 115109 134619 145199 158769 208757 228267 246207 287937 345327 403857 435597 583349 626271 738621 1035981 1306791 1496417 1750047 1878813 1887587 2647507 2713841 4489251 4801411 5250141 5662761 7942521 8141523 12316663 13467753 14404233 16988283 23827563 24424569 34417591 36949989 43212699 62418343 103252773 110849967 160116619 187255029 283283249 309758319 480349857 561765087 849849747 1441049571 2549549241 3682682237 11048046711 33144140133