Search a number
-
+
40531056489 = 32711261101863
BaseRepresentation
bin100101101111110101…
…101101011101101001
310212121200100000001100
4211233311231131221
51131001422301424
630341505112013
72633253203310
oct455765553551
9125550300040
1040531056489
11162097a7700
127a31928609
133a8c0bc481
141d66d29277
1510c3436dc9
hex96fd6d769

40531056489 has 144 divisors (see below), whose sum is σ = 75577162752. Its totient is φ = 20481120000.

The previous prime is 40531056469. The next prime is 40531056499. The reversal of 40531056489 is 98465013504.

40531056489 is a `hidden beast` number, since 4 + 0 + 5 + 3 + 1 + 0 + 564 + 89 = 666.

It is not a de Polignac number, because 40531056489 - 216 = 40530990953 is a prime.

It is a super-2 number, since 2×405310564892 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40531056439) 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 143 ways as a sum of consecutive naturals, for example, 46964872 + ... + 46965734.

It is an arithmetic number, because the mean of its divisors is an integer number (524841408).

Almost surely, 240531056489 is an apocalyptic number.

It is an amenable number.

40531056489 is a deficient number, since it is larger than the sum of its proper divisors (35046106263).

40531056489 is a wasteful number, since it uses less digits than its factorization.

40531056489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 40531056489 in words is "forty billion, five hundred thirty-one million, fifty-six thousand, four hundred eighty-nine".

Divisors: 1 3 7 9 11 21 33 61 63 77 99 101 121 183 231 303 363 427 549 671 693 707 847 863 909 1089 1111 1281 2013 2121 2541 2589 3333 3843 4697 6039 6041 6161 6363 7381 7623 7767 7777 9493 9999 12221 14091 18123 18483 22143 23331 28479 36663 42273 43127 51667 52643 54369 55449 66429 66451 67771 69993 85437 85547 87163 104423 109989 129381 155001 157929 199353 203313 256641 261489 313269 368501 388143 465003 473787 474397 579073 598059 609939 610141 730961 745481 769923 784467 939807 958793 1105503 1423191 1737219 1830423 2192883 2236443 2876379 3316509 4053511 4269573 5211657 5218367 5316943 5491269 6369803 6578649 6709329 6711551 8629137 10546723 12160533 15655101 15950829 19109409 20134653 31640169 36481599 37218601 44588621 46965303 47852487 57328227 58486373 60403959 73827061 94920507 111655803 133765863 175459119 221481183 334967409 401297589 409404611 526377357 643350103 664443549 1228213833 1930050309 3684641499 4503450721 5790150927 13510352163 40531056489