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330031221371248 = 24536742291373557
BaseRepresentation
bin100101100001010010110000…
…1101101101111000101110000
31121021112200021021011100002111
41023002211201231233011300
5321224212420132334443
63125530130001455104
7126341653220353255
oct11302454155570560
91537480237140074
10330031221371248
1196181500627931
1231022318341494
131121ca6cc73c27
145b6d84c52142c
152824d095be69d
hex12c2961b6f170

330031221371248 has 80 divisors (see below), whose sum is σ = 661381033502880. Its totient is φ = 159447830750208.

The previous prime is 330031221371219. The next prime is 330031221371249. The reversal of 330031221371248 is 842173122130033.

It is a self number, because there is not a number n which added to its sum of digits gives 330031221371248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330031221371249) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 239588086 + ... + 240961642.

It is an arithmetic number, because the mean of its divisors is an integer number (8267262918786).

Almost surely, 2330031221371248 is an apocalyptic number.

It is an amenable number.

330031221371248 is an abundant number, since it is smaller than the sum of its proper divisors (331349812131632).

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

330031221371248 is a wasteful number, since it uses less digits than its factorization.

330031221371248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377914 (or 1377908 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 330031221371248 in words is "three hundred thirty trillion, thirty-one billion, two hundred twenty-one million, three hundred seventy-one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 53 67 106 134 212 268 424 536 848 1072 3551 4229 7102 8458 14204 16916 28408 33832 56816 67664 224137 283343 448274 566686 896548 1133372 1373557 1793096 2266744 2747114 3586192 4533488 5494228 10988456 15017179 21976912 30034358 60068716 72798521 92028319 120137432 145597042 184056638 240274864 291194084 368113276 582388168 736226552 1164776336 1472453104 4877500907 5808772553 9755001814 11617545106 19510003628 23235090212 39020007256 46470180424 78040014512 92940360848 307864945309 389187761051 615729890618 778375522102 1231459781236 1556751044204 2462919562472 3113502088408 4925839124944 6227004176816 20626951335703 41253902671406 82507805342812 165015610685624 330031221371248