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424434301302 = 2311172340940213
BaseRepresentation
bin1100010110100100100…
…00010111100101110110
31111120112120000111002010
412023102100113211312
523423220140120202
6522552112025050
742443610015024
oct6132220274566
91446476014063
10424434301302
11154002109640
126a312232186
13310408c89ab
1416785371714
15b091ac676c
hex62d2417976

424434301302 has 128 divisors (see below), whose sum is σ = 1025669329920. Its totient is φ = 115501731840.

The previous prime is 424434301273. The next prime is 424434301309. The reversal of 424434301302 is 203103434424.

It is a happy number.

It is a super-2 number, since 2×4244343013022 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 424434301302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424434301309) 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 63 ways as a sum of consecutive naturals, for example, 10534548 + ... + 10574760.

It is an arithmetic number, because the mean of its divisors is an integer number (8013041640).

Almost surely, 2424434301302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424434301302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512834664960).

424434301302 is an abundant number, since it is smaller than the sum of its proper divisors (601235028618).

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

424434301302 is a wasteful number, since it uses less digits than its factorization.

424434301302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40678.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 424434301302 its reverse (203103434424), we get a palindrome (627537735726).

The spelling of 424434301302 in words is "four hundred twenty-four billion, four hundred thirty-four million, three hundred one thousand, three hundred two".

Divisors: 1 2 3 6 11 17 22 23 33 34 46 51 66 69 102 138 187 253 374 391 409 506 561 759 782 818 1122 1173 1227 1518 2346 2454 4301 4499 6953 8602 8998 9407 12903 13497 13906 18814 20859 25806 26994 28221 40213 41718 56442 76483 80426 103477 120639 152966 159919 206954 229449 241278 310431 319838 442343 458898 479757 620862 683621 884686 924899 959514 1327029 1367242 1759109 1849798 2050863 2654058 2774697 3518218 4101726 5277327 5549394 7519831 10173889 10554654 15039662 15723283 16447117 20347778 22559493 30521667 31446566 32894234 45118986 47169849 49341351 61043334 94339698 98682702 172956113 180918287 279600989 345912226 361836574 378283691 518868339 542754861 559201978 756567382 838802967 1037736678 1085509722 1134851073 1677605934 2269702146 3075610879 4161120601 6151221758 6430822747 8322241202 9226832637 12483361803 12861645494 18453665274 19292468241 24966723606 38584936482 70739050217 141478100434 212217150651 424434301302