Search a number
-
+
30131140320024 = 23341202915091709
BaseRepresentation
bin1101101100111011100111…
…11010100101101100011000
310221200111201222100021002220
412312131303322211230120
512422132033410220044
6144030015455224040
76226621513616562
oct666356372455430
9127614658307086
1030131140320024
1196675aa214527
123467749b18020
1313a747b640b53
147624d808c332
15373ba7cda019
hex1b6773ea5b18

30131140320024 has 64 divisors (see below), whose sum is σ = 77203151676000. Its totient is φ = 9793914823680.

The previous prime is 30131140320007. The next prime is 30131140320031. The reversal of 30131140320024 is 42002304113103.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 30131140319976 and 30131140320003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5549319 + ... + 9542390.

Almost surely, 230131140320024 is an apocalyptic number.

It is an amenable number.

30131140320024 is an abundant number, since it is smaller than the sum of its proper divisors (47072011355976).

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

30131140320024 is a wasteful number, since it uses less digits than its factorization.

30131140320024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15093788 (or 15093784 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 30131140320024 its reverse (42002304113103), we get a palindrome (72133444433127).

The spelling of 30131140320024 in words is "thirty trillion, one hundred thirty-one billion, one hundred forty million, three hundred twenty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 2029 4058 6087 8116 12174 16232 24348 48696 83189 166378 249567 332756 499134 665512 998268 1996536 15091709 30183418 45275127 60366836 90550254 120733672 181100508 362201016 618760069 1237520138 1856280207 2475040276 3712560414 4950080552 7425120828 14850241656 30621077561 61242155122 91863232683 122484310244 183726465366 244968620488 367452930732 734905861464 1255464180001 2510928360002 3766392540003 5021856720004 7532785080006 10043713440008 15065570160012 30131140320024