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332012441420 = 2251123379317299
BaseRepresentation
bin1001101010011010111…
…10111100111101001100
31011201222111222112202122
410311031132330331030
520414430141111140
6412305134512112
732662402121342
oct4651536747514
91151874875678
10332012441420
11118895405360
125441a365638
1325402105c3a
14120d8963992
158982d06ab5
hex4d4d7bcf4c

332012441420 has 96 divisors (see below), whose sum is σ = 793935475200. Its totient is φ = 115445468160.

The previous prime is 332012441419. The next prime is 332012441447. The reversal of 332012441420 is 24144210233.

It is a super-2 number, since 2×3320124414202 (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 332012441420.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19183931 + ... + 19201229.

It is an arithmetic number, because the mean of its divisors is an integer number (8270161200).

Almost surely, 2332012441420 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 332012441420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396967737600).

332012441420 is an abundant number, since it is smaller than the sum of its proper divisors (461923033780).

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

332012441420 is a wasteful number, since it uses less digits than its factorization.

332012441420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21135 (or 21133 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 332012441420 its reverse (24144210233), we get a palindrome (356156651653).

The spelling of 332012441420 in words is "three hundred thirty-two billion, twelve million, four hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 3793 5060 7586 15172 17299 18965 34598 37930 41723 69196 75860 83446 86495 87239 166892 172990 174478 190289 208615 345980 348956 380578 397877 417230 436195 761156 795754 834460 872390 951445 959629 1591508 1744780 1902890 1919258 1989385 3805780 3838516 3978770 4376647 4798145 7957540 8753294 9596290 17506588 19192580 21883235 43766470 65615107 87532940 131230214 262460428 328075535 656151070 721766177 1312302140 1443532354 1509147461 2887064708 3018294922 3608830885 6036589844 7217661770 7545737305 14435323540 15091474610 16600622071 30182949220 33201244142 66402488284 83003110355 166006220710 332012441420