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330022142310344 = 231127198314599649
BaseRepresentation
bin100101100001001110100010…
…0100011110111011111001000
31121021111210211112022020220112
41023002131010203313133020
5321224040321412412334
63125522025034013452
7126341212224540041
oct11302350443673710
91537453745266815
10330022142310344
1196178671747010
1231020603877288
131121bc54001b43
145b6d22a8098c8
1528249774c74ce
hex12c27448f77c8

330022142310344 has 128 divisors (see below), whose sum is σ = 678760680960000. Its totient is φ = 149186684390400.

The previous prime is 330022142310337. The next prime is 330022142310389. The reversal of 330022142310344 is 443013241220033.

It is a super-2 number, since 2×3300221423103442 (a number of 30 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 330022142310344.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34202725232 + ... + 34202734880.

It is an arithmetic number, because the mean of its divisors is an integer number (5302817820000).

Almost surely, 2330022142310344 is an apocalyptic number.

It is an amenable number.

330022142310344 is an abundant number, since it is smaller than the sum of its proper divisors (348738538649656).

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

330022142310344 is a wasteful number, since it uses less digits than its factorization.

330022142310344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12379 (or 12375 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 330022142310344 its reverse (443013241220033), we get a palindrome (773035383530377).

The spelling of 330022142310344 in words is "three hundred thirty trillion, twenty-two billion, one hundred forty-two million, three hundred ten thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 271 542 983 1084 1459 1966 2168 2918 2981 3932 5836 5962 7864 9649 10813 11672 11924 16049 19298 21626 23848 32098 38596 43252 64196 77192 86504 106139 128392 212278 266393 395389 424556 532786 790778 849112 1065572 1434197 1581556 2131144 2614879 2868394 2930323 3163112 4349279 5229758 5736788 5860646 8698558 9484967 10459516 11473576 11721292 14077891 15776167 17397116 18969934 20919032 23442584 28155782 28763669 31552334 34794232 37939868 56311564 57527338 63104668 75879736 104334637 112623128 115054676 126209336 154856801 208669274 230109352 309713602 388667387 417338548 619427204 777334774 834677096 1238854408 1554669548 2570426057 3109339096 3815108461 4275341257 5140852114 7630216922 8550682514 10281704228 13838566853 15260433844 17101365028 20563408456 27677133706 28274686627 30520867688 34202730056 41966193071 55354267412 56549373254 83932386142 110708534824 113098746508 152224235383 167864772284 226197493016 304448470766 335729544568 608896941532 1217793883064 3750251617163 7500503234326 15001006468652 30002012937304 41252767788793 82505535577586 165011071155172 330022142310344