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414020142320330 = 257135531772310651
BaseRepresentation
bin101111000100011001001001…
…1100000110100101011001010
32000021220221100120111221221102
41132020302103200310223022
5413231301222413222310
64024314121101541402
7153130653041233040
oct13610622340645312
92007827316457842
10414020142320330
1110aa12a57947707
123a527a63b74862
1314a02c164b9b30
147434978c48390
1532ce93250b8a5
hex1788c93834aca

414020142320330 has 128 divisors (see below), whose sum is σ = 917584612632576. Its totient is φ = 130977598752000.

The previous prime is 414020142320329. The next prime is 414020142320363. The reversal of 414020142320330 is 33023241020414.

It is a junction number, because it is equal to n+sod(n) for n = 414020142320293 and 414020142320302.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38871475505 + ... + 38871486155.

It is an arithmetic number, because the mean of its divisors is an integer number (7168629786192).

Almost surely, 2414020142320330 is an apocalyptic number.

414020142320330 is an abundant number, since it is smaller than the sum of its proper divisors (503564470312246).

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

414020142320330 is a wasteful number, since it uses less digits than its factorization.

414020142320330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23932.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 414020142320330 its reverse (33023241020414), we get a palindrome (447043383340744).

The spelling of 414020142320330 in words is "four hundred fourteen trillion, twenty billion, one hundred forty-two million, three hundred twenty thousand, three hundred thirty".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 910 5531 7723 10651 11062 15446 21302 27655 38615 38717 53255 54061 55310 71903 74557 77230 77434 100399 106510 108122 138463 143806 149114 193585 200798 270305 276926 359515 372785 387170 501995 503321 540610 692315 702793 719030 745570 969241 1003990 1006642 1384630 1405586 1938482 2516605 3513965 4846205 5033210 7027930 9692410 42715913 58910681 82257673 85431826 117821362 164515346 213579565 294553405 299011391 411288365 412374767 427159130 555306869 575803711 589106810 598022782 765838853 822576730 824749534 1069349749 1110613738 1151607422 1495056955 1531677706 2061873835 2138699498 2776534345 2879018555 2990113910 3829194265 3887148083 4123747670 5346748745 5360871971 5553068690 5758037110 7485448243 7658388530 7774296166 10693497490 10721743942 14970896486 19435740415 26804359855 37427241215 38871480830 53608719710 74854482430 454967189363 909934378726 2274835946815 3184770325541 4549671893630 5914573461719 6369540651082 11829146923438 15923851627705 29572867308595 31847703255410 41402014232033 59145734617190 82804028464066 207010071160165 414020142320330