122388872945664
122,388,872,945,664 is an even composite number composed of six prime numbers multiplied together.
What does the number 122388872945664 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1008 divisors.
122388872945664 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 122388872945664:
213 × 3 × 13 × 17 × 472 × 1012
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 17 × 47 × 47 × 101 × 101)See below for interesting mathematical facts about the number 122388872945664 from the Numbermatics database.
Names of 122388872945664
- Cardinal: 122388872945664 can be written as One hundred twenty-two trillion, three hundred eighty-eight billion, eight hundred seventy-two million, nine hundred forty-five thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.22388872945664 × 1014
Factors of 122388872945664
Divisors of 122388872945664
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 47 48 51 52 64 68 78 94 96 101 102 104 128 136 141 156 188 192 202 204 208 221 256 272 282 303 312 376 384 404 408 416 442 512 544 564 606 611 624 663 752 768 799 808 816 832 884 1024 1088 1128 1212 1222 1248 1313 1326 1504 1536 1598 1616 1632 1664 1717 1768 1833 2048 2176 2209 2256 2397 2424 2444 2496 2626 2652 3008 3072 3196 3232 3264 3328 3434 3536 3666 3939 4096 4352 4418 4512 4747 4794 4848 4888 4992 5151 5252 5304 6016 6144 6392 6464 6528 6627 6656 6868 7072 7332 7878 8192 8704 8836 9024 9494 9588 9696 9776 9984 10201 10302 10387 10504 10608 12032 12288 12784 12928 13056 13254 13312 13736 14144 14241 14664 15756 17408 17672 18048 18988 19176 19392 19552 19968 20402 20604 20774 21008 21216 22321 24064 24576 25568 25856 26112 26508 26624 27472 28288 28482 28717 29328 30603 31161 31512 34816 35344 36096 37553 37976 38352 38784 39104 39936 40804 41208 41548 42016 42432 44642 48128 51136 51712 52224 53016 53248 54944 56576 56964 57434 58656 61206 61711 62322 63024 66963 69632 70688 72192 75106 75952 76704 77568 78208 79872 80699 81608 82416 83096 84032 84864 86151 89284 96256 102272 103424 104448 106032 106496 109888 112659 113152 113928 114868 117312 122412 123422 124644 126048 132613 133926 139264 141376 144384 150212 151904 153408 155136 156416 159744 161398 163216 164832 166192 168064 169728 172302 173417 178568 185133 192512 204544 206848 208896 212064 219776 223109 225318 226304 227856 229736 234624 242097 244824 246844 249288 252096 265226 267852 282752 288768 300424 303808 306816 310272 312832 319488 322796 326432 329664 332384 336128 339456 344604 346834 357136 370266 385024 397839 409088 413696 417792 424128 439552 446218 450636 452608 455712 459472 469248 479447 484194 488189 489648 493688 498576 504192 520251 530452 535704 565504 577536 600848 607616 613632 620544 625664 645592 652864 659328 664768 669327 672256 678912 689208 693668 714272 740532 795678 818176 827392 848256 879104 892436 901272 905216 911424 918944 938496 958894 968388 976378 979296 987376 997152 1008384 1040502 1049087 1060904 1071408 1131008 1155072 1201696 1215232 1227264 1241088 1251328 1291184 1305728 1318656 1329536 1338654 1344512 1357824 1378416 1387336 1428544 1438341 1464567 1481064 1591356 1636352 1696512 1758208 1784872 1802544 1810432 1822848 1837888 1876992 1917788 1936776 1952756 1958592 1974752 1994304 2016768 2081004 2098174 2121808 2142816 2254421 2262016 2403392 2430464 2454528 2482176 2502656 2582368 2611456 2637312 2659072 2677308 2689024 2715648 2756832 2774672 2857088 2876682 2900417 2929134 2962128 3147261 3182712 3272704 3393024 3516416 3569744 3605088 3645696 3675776 3753984 3792853 3835576 3873552 3905512 3917184 3949504 3988608 4033536 4162008 4196348 4243616 4285632 4508842 4524032 4806784 4860928 4909056 5005312 5164736 5222912 5274624 5318144 5354616 5378048 5431296 5513664 5549344 5714176 5753364 5800834 5858268 5924256 6232811 6294522 6365424 6545408 6763263 6786048 7032832 7139488 7210176 7291392 7351552 7507968 7585706 7671152 7747104 7811024 7834368 7899008 7977216 8067072 8150599 8324016 8392696 8487232 8571264 8701251 9017684 9048064 9613568 9721856 9818112 10329472 10445824 10549248 10636288 10709232 10756096 11027328 11098688 11378559 11428352 11506728 11601668 11716536 11848512 12465622 12589044 12730848 13526526 13572096 14065664 14278976 14420352 14582784 14703104 15015936 15171412 15342304 15494208 15622048 15668736 15798016 15954432 16134144 16301198 16648032 16785392 16974464 17142528 17402502 18035368 18096128 18698433 19227136 19443712 19636224 20658944 20891648 21098496 21272576 21418464 22054656 22197376 22534009 22757118 22856704 23013456 23203336 23433072 23697024 24451797 24931244 25178088 25461696 27053052 27144192 28557952 28840704 29165568 29406208 30342824 30684608 30988416 31244096 31337472 31596032 31908864 32268288 32602396 33296064 33570784 33948928 34285056 34805004 36070736 37396866 38454272 38887424 41317888 41783296 42196992 42545152 42836928 44109312 44394752 45068018 45514236 45713408 46026912 46406672 46866144 47394048 48903594 49307089 49862488 50356176 50923392 54106104 54288384 57115904 57681408 58331136 58812416 60685648 61369216 61976832 62488192 62674944 63192064 63817728 65204792 66592128 67141568 67602027 67897856 68570112 69610008 72141472 74793732 76908544 82635776 83566592 85090304 85673856 88218624 88789504 90136036 91028472 91426816 92053824 92813344 93732288 94788096 97807188 98614178 99724976 100712352 101846784 105957787 108212208 114231808 115362816 116662272 117624832 121371296 122738432 123953664 124976384 125349888 126384128 127635456 130409584 133184256 134283136 135204054 135795712 137140224 139220016 144282944 147921267 149587464 153817088 165271552 171347712 176437248 177579008 180272072 182056944 182853632 184107648 185626688 187464576 189576192 195614376 197228356 199449952 201424704 203693568 211915574 216424416 228463616 230725632 235249664 242742592 245476864 247907328 249952768 250699776 252768256 255270912 260819168 266368512 268566272 270408108 271591424 274280448 278440032 288565888 292942117 295842534 299174928 307634176 317873361 330543104 342695424 352874496 355158016 360544144 364113888 368215296 371253376 374929152 379152384 383078153 391228752 394456712 398899904 402849408 407387136 423831148 432848832 456927232 461451264 485485184 490953728 495814656 499905536 505536512 521638336 532737024 537132544 540816216 543182848 548560896 556880064 577131776 585884234 591685068 598349856 635746722 661086208 685390848 705748992 710316032 721088288 728227776 736430592 742506752 749858304 758304768 766156306 782457504 788913424 797799808 805698816 814774272 847662296 865697664 878826351 913854464 922902528 970970368 981907456 991629312 999811072 1043276672 1065474048 1074265088 1081632432 1086365696 1113760128 1149234459 1154263552 1171768468 1183370136 1196699712 1271493444 1370781696 1420632064 1442176576 1456455552 1472861184 1485013504 1499716608 1516609536 1532312612 1564915008 1577826848 1595599616 1611397632 1629548544 1695324592 1731395328 1757652702 1827708928 1941940736 1963814912 1983258624 1999622144 2086553344 2130948096 2148530176 2163264864 2227520256 2298468918 2308527104 2343536936 2366740272 2393399424 2542986888 2741563392 2884353152 2912911104 2945722368 2970027008 2999433216 3064625224 3129830016 3155653696 3191199232 3222795264 3259097088 3390649184 3462790656 3515305404 3883881472 3927629824 3999244288 4173106688 4261896192 4297060352 4326529728 4455040512 4596937836 4617054208 4687073872 4733480544 4786798848 4980015989 5085973776 5483126784 5768706304 5825822208 5891444736 5940054016 5998866432 6129250448 6259660032 6311307392 6382398464 6445590528 6781298368 6925581312 7030610808 7767762944 8346213376 8594120704 8653059456 8910081024 9193875672 9234108416 9374147744 9466961088 9573597696 9960031978 10171947552 11537412608 11651644416 11782889472 11880108032 11997732864 12258500896 12519320064 12622614784 12764796928 12891181056 13562596736 13851162624 14061221616 14940047967 15535525888 16692426752 17306118912 17820162048 18387751344 18468216832 18748295488 18933922176 19147195392 19920063956 20343895104 23074825216 23303288832 23760216064 24517001792 25038640128 25245229568 25529593856 25782362112 27125193472 27702325248 28122443232 29880095934 31071051776 33384853504 34612237824 35640324096 36775502688 37496590976 37867844352 38294390784 39840127912 40687790208 46149650432 46606577664 49034003584 50077280256 50490459136 51059187712 54250386944 55404650496 56244886464 59760191868 66769707008 69224475648 71280648192 73551005376 74993181952 75735688704 76588781568 79680255824 81375580416 92299300864 93213155328 98068007168 100154560512 100980918272 108500773888 112489772928 119520383736 138448951296 147102010752 149986363904 151471377408 153177563136 159360511648 162751160832 184598601728 196136014336 200309121024 201961836544 217001547776 224979545856 239040767472 276897902592 294204021504 299972727808 302942754816 318721023296 325502321664 392272028672 403923673088 434003095552 449959091712 478081534944 553795805184 588408043008 599945455616 605885509632 637442046592 651004643328 784544057344 868006191104 899918183424 956163069888 1176816086016 1199890911232 1211771019264 1274884093184 1302009286656 1569088114688 1799836366848 1912326139776 2353632172032 2399781822464 2549768186368 2604018573312 3138176229376 3599672733696 3824652279552 4707264344064 5099536372736 7199345467392 7649304559104 9414528688128 10199072745472 15298609118208 20398145490944 30597218236416 40796290981888 61194436472832 122388872945664
- Sum of all divisors σ(n): 384015913941744
- Sum of proper divisors (its aliquot sum) s(n): 261627040996080
- 122388872945664 is an abundant number, because the sum of its proper divisors (261627040996080) is greater than itself. Its abundance is 139238168050416
Bases of 122388872945664
- Binary: 110111101001111111000010100101111100000000000002
- Hexadecimal: 0x6F4FE14BE000
- Base-36: 17DSO6YQDC
Squares and roots of 122388872945664
- 122388872945664 squared (1223888729456642) is 14979036220909885396296400896
- 122388872945664 cubed (1223888729456643) is 1833267360889438996112515346724468968914944
-
The
square root of 122388872945664 is 11062950.4629490229 -
The
cube root of 122388872945664 is 49649.3970234081
Scales and comparisons
How big is 122388872945664?- 122,388,872,945,664 seconds is equal to 3,891,587 years, 30 weeks, 3 days, 7 hours, 34 minutes, 24 seconds.
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To count from 1 to 122,388,872,945,664 would take you about nine million, seven hundred twenty-eight thousand, nine hundred sixty-eight years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 122388872945664 cubic inches would be around 4137.4 feet tall.
Recreational maths with 122388872945664
- 122388872945664 backwards is 466549278883221
- The number of decimal digits it has is: 15
- The sum of 122388872945664's digits is 75
- More coming soon!
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The information we have on file for 122388872945664 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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