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424005104340 = 2232510133197027
BaseRepresentation
bin1100010101110001010…
…11000111001011010100
31111112102122102000112100
412022320223013023110
523421330301314330
6522441340522100
742430145630646
oct6127053071324
91445378360470
10424005104340
11153901911604
126a212550330
1330ca2a03aac
141674436a896
15b069097060
hex62b8ac72d4

424005104340 has 144 divisors (see below), whose sum is σ = 1299459208320. Its totient is φ = 111898886400.

The previous prime is 424005104329. The next prime is 424005104381. The reversal of 424005104340 is 43401500424.

It is a happy number.

It is a super-3 number, since 3×4240051043403 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 60335907 + ... + 60342933.

It is an arithmetic number, because the mean of its divisors is an integer number (9024022280).

Almost surely, 2424005104340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424005104340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649729604160).

424005104340 is an abundant number, since it is smaller than the sum of its proper divisors (875454103980).

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

424005104340 is a wasteful number, since it uses less digits than its factorization.

424005104340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10462 (or 10457 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 424005104340 its reverse (43401500424), we get a palindrome (467406604764).

The spelling of 424005104340 in words is "four hundred twenty-four billion, five million, one hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3319 3636 4545 6060 6638 7027 9090 9957 13276 14054 16595 18180 19914 21081 28108 29871 33190 35135 39828 42162 49785 59742 63243 66380 70270 84324 99570 105405 119484 126486 140540 149355 199140 210810 252972 298710 316215 335219 421620 597420 632430 670438 709727 1005657 1264860 1340876 1419454 1676095 2011314 2129181 2838908 3016971 3352190 3548635 4022628 4258362 5028285 6033942 6387543 6704380 7097270 8516724 10056570 10645905 12067884 12775086 14194540 15084855 20113140 21291810 23322613 25550172 30169710 31937715 42583620 46645226 60339420 63875430 69967839 93290452 116613065 127750860 139935678 209903517 233226130 279871356 349839195 419807034 466452260 699678390 839614068 1049517585 1399356780 2099035170 2355583913 4198070340 4711167826 7066751739 9422335652 11777919565 14133503478 21200255217 23555839130 28267006956 35333758695 42400510434 47111678260 70667517390 84801020868 106001276085 141335034780 212002552170 424005104340