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330143400440442 = 23431263249959797
BaseRepresentation
bin100101100010000111000000…
…0000110111011001001111010
31121021221101211012212111110000
41023010032000012323021322
5321233032141003043232
63130053441232333430
7126353034141616161
oct11304160006731172
91537841735774400
10330143400440442
1196215036800976
12310400049a4276
131122a509a54494
145b75050c943d8
152827bc2b4c27c
hex12c43801bb27a

330143400440442 has 80 divisors (see below), whose sum is σ = 766532715581952. Its totient is φ = 106092935814240.

The previous prime is 330143400440437. The next prime is 330143400440467. The reversal of 330143400440442 is 244044004341033.

330143400440442 is a `hidden beast` number, since 3 + 30 + 143 + 4 + 0 + 0 + 4 + 40 + 442 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 330143400440397 and 330143400440406.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 123659113 + ... + 126300684.

Almost surely, 2330143400440442 is an apocalyptic number.

330143400440442 is an abundant number, since it is smaller than the sum of its proper divisors (436389315141510).

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

330143400440442 is a wasteful number, since it uses less digits than its factorization.

330143400440442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249960105 (or 249960096 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 330143400440442 its reverse (244044004341033), we get a palindrome (574187404781475).

The spelling of 330143400440442 in words is "three hundred thirty trillion, one hundred forty-three billion, four hundred million, four hundred forty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 263 279 526 558 789 837 1578 1674 2367 2511 4734 5022 7101 8153 14202 16306 21303 24459 42606 48918 73377 146754 220131 440262 660393 1320786 249959797 499919594 749879391 1499758782 2249638173 4499276346 6748914519 7748753707 13497829038 15497507414 20246743557 23246261121 40493487114 46492522242 65739426611 69738783363 131478853222 139477566726 197218279833 209216350089 394436559666 418432700178 591654839499 627649050267 1183309678998 1255298100534 1774964518497 2037922224941 3549929036994 4075844449882 5324893555491 6113766674823 10649787110982 12227533349646 18341300024469 36682600048938 55023900073407 110047800146814 165071700220221 330143400440442