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420044403003012 = 223259907321767777
BaseRepresentation
bin101111110000001110011010…
…1011011100100111010000100
32001002020212000122210212221200
41133200130311123210322010
5420024001414132044022
64045205422415342500
7154322130611161434
oct13740346533447204
92032225018725850
10420044403003012
11111925915a62037
123b13b504821a30
131504c02bb58b68
1475a2386b302c4
1533864bb2c9bac
hex17e07356e4e84

420044403003012 has 144 divisors (see below), whose sum is σ = 1081317621558720. Its totient is φ = 137445147426816.

The previous prime is 420044403002971. The next prime is 420044403003089. The reversal of 420044403003012 is 210300304440024.

It is a happy number.

420044403003012 is a `hidden beast` number, since 4 + 200 + 4 + 440 + 3 + 0 + 0 + 3 + 0 + 12 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6197413668 + ... + 6197481444.

Almost surely, 2420044403003012 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 420044403003012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540658810779360).

420044403003012 is an abundant number, since it is smaller than the sum of its proper divisors (661273218555708).

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

420044403003012 is a wasteful number, since it uses less digits than its factorization.

420044403003012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71970 (or 71965 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 420044403003012 its reverse (210300304440024), we get a palindrome (630344707443036).

The spelling of 420044403003012 in words is "four hundred twenty trillion, forty-four billion, four hundred three million, three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 907 1062 1814 2124 2721 3217 3628 5442 6434 8163 9651 10884 12868 16326 19302 28953 32652 38604 53513 57906 67777 107026 115812 135554 160539 189803 203331 214052 271108 321078 379606 406662 481617 569409 609993 642156 759212 813324 963234 1138818 1219986 1708227 1926468 2277636 2439972 2917819 3416454 3998843 5835638 6832908 7997686 8753457 11671276 11996529 15995372 17506914 23993058 26260371 35013828 35989587 47986116 52520742 61473739 71979174 105041484 122947478 143958348 172151321 184421217 218038609 245894956 344302642 368842434 436077218 516453963 553263651 654115827 688605284 737684868 872154436 1032907926 1106527302 1308231654 1549361889 1962347481 2065815852 2213054604 2616463308 3098723778 3626950601 3924694962 6197447556 7253901202 7849389924 10880851803 12864277931 14507802404 21761703606 25728555862 32642555409 38592833793 43523407212 51457111724 65285110818 77185667586 115778501379 130570221636 154371335172 197761018363 231557002758 395522036726 463114005516 593283055089 791044073452 1186566110178 1779849165267 2373132220356 3559698330534 7119396661068 11667900083417 23335800166834 35003700250251 46671600333668 70007400500502 105011100750753 140014801001004 210022201501506 420044403003012