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413334424041 = 372111314194657
BaseRepresentation
bin1100000001111001010…
…01101100100111101001
31110111212222122021222220
412000330221230213221
523233002103032131
6513514435104253
741601545430600
oct6007451544751
91414788567886
10413334424041
1114a326563560
1268134a42089
132cc920a1696
1416011102a37
15ab423a8e96
hex603ca6c9e9

413334424041 has 96 divisors (see below), whose sum is σ = 706543326720. Its totient is φ = 212525913600.

The previous prime is 413334424007. The next prime is 413334424079. The reversal of 413334424041 is 140424433314.

It is not a de Polignac number, because 413334424041 - 218 = 413334161897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 413334423993 and 413334424011.

It is not an unprimeable number, because it can be changed into a prime (413334424541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88753185 + ... + 88757841.

It is an arithmetic number, because the mean of its divisors is an integer number (7359826320).

Almost surely, 2413334424041 is an apocalyptic number.

It is an amenable number.

413334424041 is a deficient number, since it is larger than the sum of its proper divisors (293208902679).

413334424041 is a wasteful number, since it uses less digits than its factorization.

413334424041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5235 (or 5228 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 413334424041 its reverse (140424433314), we get a palindrome (553758857355).

The spelling of 413334424041 in words is "four hundred thirteen billion, three hundred thirty-four million, four hundred twenty-four thousand, forty-one".

Divisors: 1 3 7 11 21 33 49 77 131 147 231 393 419 539 917 1257 1441 1617 2751 2933 4323 4609 4657 6419 8799 10087 13827 13971 19257 20531 30261 32263 32599 51227 54889 61593 70609 96789 97797 153681 164667 211827 225841 228193 358589 384223 603779 610067 677523 684579 1075767 1152669 1811337 1830201 1951283 2510123 2689561 4226453 4270469 5853849 6710737 7530369 8068683 12679359 12811407 13658981 20132211 21464113 29585171 29893283 40976943 46975159 64392339 88755513 89679849 95612867 140925477 150248791 255618073 286838601 328826113 450746373 766854219 986478339 1051741537 1789326511 2811798803 3155224611 5367979533 8435396409 12525285577 19682591621 37575856731 59047774863 137778141347 413334424041