Search a number
-
+
541234102224 = 243233217152393
BaseRepresentation
bin1111110000001000001…
…00001111111111010000
31220202000112110010201210
413320010010033333100
532331421412232344
61052350045100120
754050166650664
oct7700404177720
91822015403653
10541234102224
111995995a4832
1288a8a257640
133c065aa4a2a
141c2a567a8a4
15e12ab3edb9
hex7e0410ffd0

541234102224 has 80 divisors (see below), whose sum is σ = 1459441982592. Its totient is φ = 172512620544.

The previous prime is 541234102223. The next prime is 541234102237. The reversal of 541234102224 is 422201432145.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 541234102191 and 541234102200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541234102223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3475372 + ... + 3627764.

Almost surely, 2541234102224 is an apocalyptic number.

It is an amenable number.

541234102224 is an abundant number, since it is smaller than the sum of its proper divisors (918207880368).

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

541234102224 is a wasteful number, since it uses less digits than its factorization.

541234102224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155644 (or 155638 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 541234102224 its reverse (422201432145), we get a palindrome (963435534369).

The spelling of 541234102224 in words is "five hundred forty-one billion, two hundred thirty-four million, one hundred two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 3217 6434 9651 12868 19302 25736 38604 51472 73991 77208 147982 152393 154416 221973 295964 304786 443946 457179 591928 609572 887892 914358 1183856 1219144 1775784 1828716 2438288 3505039 3551568 3657432 7010078 7314864 10515117 14020156 21030234 28040312 42060468 56080624 84120936 168241872 490248281 980496562 1470744843 1960993124 2941489686 3921986248 5882979372 7843972496 11275710463 11765958744 22551420926 23531917488 33827131389 45102841852 67654262778 90205683704 135308525556 180411367408 270617051112 541234102224