Search a number
-
+
42030243333 = 3413197202613
BaseRepresentation
bin100111001001001100…
…101001111000000101
311000111011022120210000
4213021030221320011
51142034220241313
631150341551513
73015356113401
oct471114517005
9130434276700
1042030243333
1116908a819a1
12818ba15599
133c6a888590
14206a09a101
15115ed70673
hex9c9329e05

42030243333 has 40 divisors (see below), whose sum is σ = 67959166968. Its totient is φ = 25733344896.

The previous prime is 42030243313. The next prime is 42030243337. The reversal of 42030243333 is 33334203024.

42030243333 is a `hidden beast` number, since 4 + 20 + 302 + 4 + 3 + 333 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10792508769 + 31237734564 = 103887^2 + 176742^2 .

It is not a de Polignac number, because 42030243333 - 228 = 41761807877 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42030243297 and 42030243306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42030243337) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 106135 + ... + 308747.

Almost surely, 242030243333 is an apocalyptic number.

It is an amenable number.

42030243333 is a deficient number, since it is larger than the sum of its proper divisors (25928923635).

42030243333 is a wasteful number, since it uses less digits than its factorization.

42030243333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202835 (or 202826 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 42030243333 its reverse (33334203024), we get a palindrome (75364446357).

The spelling of 42030243333 in words is "forty-two billion, thirty million, two hundred forty-three thousand, three hundred thirty-three".

Divisors: 1 3 9 13 27 39 81 117 197 351 591 1053 1773 2561 5319 7683 15957 23049 69147 202613 207441 607839 1823517 2633969 5470551 7901907 16411653 23705721 39914761 71117163 119744283 213351489 359232849 518891893 1077698547 1556675679 3233095641 4670027037 14010081111 42030243333