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330230240224044 = 2233112011721429487
BaseRepresentation
bin100101100010101111011100…
…0001010011010001100101100
31121022020200222020020120122120
41023011132320022122030230
5321240443012444132134
63130201402242312540
7126362230125606636
oct11305367012321454
91538220866216576
10330230240224044
1196248949581676
12310549bb358750
1311235768c27114
145b7932c1a1a56
15282a0a6838649
hex12c57b829a32c

330230240224044 has 96 divisors (see below), whose sum is σ = 796519951245312. Its totient is φ = 106375092480000.

The previous prime is 330230240223959. The next prime is 330230240224057. The reversal of 330230240224044 is 440422042032033.

It is a junction number, because it is equal to n+sod(n) for n = 330230240223996 and 330230240224014.

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, 768679869 + ... + 769109355.

It is an arithmetic number, because the mean of its divisors is an integer number (8297082825472).

Almost surely, 2330230240224044 is an apocalyptic number.

It is an amenable number.

330230240224044 is an abundant number, since it is smaller than the sum of its proper divisors (466289711021268).

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

330230240224044 is a wasteful number, since it uses less digits than its factorization.

330230240224044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432447 (or 432445 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 33.

Adding to 330230240224044 its reverse (440422042032033), we get a palindrome (770652282256077).

The spelling of 330230240224044 in words is "three hundred thirty trillion, two hundred thirty billion, two hundred forty million, two hundred twenty-four thousand, forty-four".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 1201 1721 2402 3442 3603 4804 5163 6884 7206 10326 14412 20652 37231 53351 74462 106702 111693 148924 160053 213404 223386 320106 429487 446772 640212 858974 1288461 1717948 2066921 2576922 4133842 5153844 6200763 8267684 12401526 13314097 24803052 26628194 39942291 53256388 64074551 79884582 128149102 159769164 192223653 256298204 384447306 515813887 739147127 768894612 1031627774 1478294254 1547441661 2063255548 2217441381 2956588508 3094883322 4434882762 6189766644 8869765524 15990230497 22913560937 31980460994 45827121874 47970691491 63960921988 68740682811 91654243748 95941382982 137481365622 191882765964 274962731244 887715699527 1775431399054 2663147098581 3550862798108 5326294197162 10652588394324 27519186685337 55038373370674 82557560056011 110076746741348 165115120112022 330230240224044