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330425544141 = 327112731015879
BaseRepresentation
bin1001100111011101110…
…01011010110111001101
31011120212220221210221100
410303232321122313031
520403202414403031
6411443450053313
732605152532560
oct4635671326715
91146786853840
10330425544141
11118150672a00
1254056a1a239
132520b40a074
1411dc7cc04d7
1588dd844de6
hex4ceee5adcd

330425544141 has 144 divisors (see below), whose sum is σ = 613895143680. Its totient is φ = 167593536000.

The previous prime is 330425544077. The next prime is 330425544167. The reversal of 330425544141 is 141445524033.

330425544141 is a `hidden beast` number, since 3 + 30 + 42 + 5 + 544 + 1 + 41 = 666.

It is not a de Polignac number, because 330425544141 - 26 = 330425544077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 330425544096 and 330425544105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330425544041) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56201440 + ... + 56207318.

It is an arithmetic number, because the mean of its divisors is an integer number (4263160720).

Almost surely, 2330425544141 is an apocalyptic number.

It is an amenable number.

330425544141 is a deficient number, since it is larger than the sum of its proper divisors (283469599539).

330425544141 is a wasteful number, since it uses less digits than its factorization.

330425544141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6088 (or 6074 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 330425544141 in words is "three hundred thirty billion, four hundred twenty-five million, five hundred forty-four thousand, one hundred forty-one".

Divisors: 1 3 7 9 11 21 33 63 73 77 99 101 121 219 231 303 363 511 657 693 707 803 847 909 1089 1111 1533 2121 2409 2541 3333 4599 5621 5879 6363 7227 7373 7623 7777 8833 9999 12221 16863 17637 22119 23331 26499 36663 41153 50589 51611 52911 61831 64669 66357 69993 79497 81103 85547 109989 123459 154833 185493 194007 243309 256641 370377 429167 452683 464499 556479 567721 582021 593779 711359 729927 769923 892133 1287501 1358049 1703163 1781337 2134077 2676399 3004169 3862503 4074147 4156453 4720837 4979513 5109489 5344011 6244931 6402231 6531569 8029197 9012507 12469359 14162511 14938539 18734793 19594707 27037521 33045859 37408077 42487533 43345867 44815617 45720983 51929207 56204379 58784121 71847259 99137577 130037601 137162949 155787621 215541777 297412731 303421069 363504449 390112803 411488847 467362863 476804537 502930813 646625331 910263207 1090513347 1430413611 1508792439 2730789621 3271540041 3337631759 4291240833 4526377317 5244849907 10012895277 15734549721 30038685831 36713949349 47203649163 110141848047 330425544141