Search a number
-
+
42433403133 = 31119223251617
BaseRepresentation
bin100111100001001110…
…100101100011111101
311001112020221020001110
4213201032211203331
51143400422400013
631254343032233
73031352655402
oct474116454375
9131466836043
1042433403133
1116aa5605910
128282a3b679
134003265184
1420a78442a9
15118545a2c3
hex9e13a58fd

42433403133 has 96 divisors (see below), whose sum is σ = 68354399232. Its totient is φ = 23173920000.

The previous prime is 42433403123. The next prime is 42433403153. The reversal of 42433403133 is 33130433424.

It is not a de Polignac number, because 42433403133 - 229 = 41896532221 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42433403133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42433403123) 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, 68773441 + ... + 68774057.

It is an arithmetic number, because the mean of its divisors is an integer number (712024992).

Almost surely, 242433403133 is an apocalyptic number.

It is an amenable number.

42433403133 is a deficient number, since it is larger than the sum of its proper divisors (25920996099).

42433403133 is a wasteful number, since it uses less digits than its factorization.

42433403133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 42433403133 its reverse (33130433424), we get a palindrome (75563836557).

The spelling of 42433403133 in words is "forty-two billion, four hundred thirty-three million, four hundred three thousand, one hundred thirty-three".

Divisors: 1 3 11 19 23 33 57 69 209 251 253 361 437 617 627 753 759 1083 1311 1851 2761 3971 4769 4807 5773 6787 8283 8303 11723 11913 14191 14307 14421 17319 20361 24909 35169 42573 52459 63503 90611 91333 109687 128953 154867 156101 157377 190509 222737 269629 271833 273999 329061 386859 464601 468303 668211 808887 996721 1206557 1703537 2084053 2450107 2942473 2965919 2990163 3561941 3619671 5110611 5122951 6252159 7350321 8827419 8897757 10685823 15368853 22924583 32367203 39181351 55906987 56352461 67676879 68773749 97101609 117544053 167720961 169057383 203030637 614976857 744445669 1285860701 1844930571 2233337007 3857582103 14144467711 42433403133