12009384638940960
12,009,384,638,940,960 is an even composite number composed of seven prime numbers multiplied together.
What does the number 12009384638940960 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2016 divisors.
12009384638940960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 12009384638940960:
25 × 36 × 5 × 59 × 137 × 223 × 2392
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 59 × 137 × 223 × 239 × 239)See below for interesting mathematical facts about the number 12009384638940960 from the Numbermatics database.
Names of 12009384638940960
- Cardinal: 12009384638940960 can be written as Twelve quadrillion, nine trillion, three hundred eighty-four billion, six hundred thirty-eight million, nine hundred forty thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.200938463894096 × 1016
Factors of 12009384638940960
Divisors of 12009384638940960
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 59 60 72 80 81 90 96 108 118 120 135 137 144 160 162 177 180 216 223 236 239 240 243 270 274 288 295 324 354 360 405 411 432 446 472 478 480 486 531 540 548 590 648 669 685 708 717 720 729 810 822 864 885 892 944 956 972 1062 1080 1096 1115 1180 1195 1215 1233 1296 1338 1370 1416 1434 1440 1458 1593 1620 1644 1770 1784 1888 1912 1944 2007 2055 2124 2151 2160 2192 2230 2360 2390 2430 2466 2592 2655 2676 2740 2832 2868 2916 3186 3240 3288 3345 3540 3568 3585 3645 3699 3824 3888 4014 4110 4248 4302 4320 4384 4460 4720 4779 4780 4860 4932 5310 5352 5480 5664 5736 5832 6021 6165 6372 6453 6480 6576 6690 7080 7136 7170 7290 7398 7648 7776 7965 8028 8083 8220 8496 8604 8920 9440 9558 9560 9720 9864 10035 10620 10704 10755 10960 11097 11472 11664 12042 12330 12744 12906 12960 13152 13157 13380 14101 14160 14337 14340 14580 14796 15930 16056 16166 16440 16992 17208 17840 18063 18495 19116 19120 19359 19440 19728 20070 21240 21408 21510 21920 22194 22944 23328 23895 24084 24249 24660 25488 25812 26314 26760 28202 28320 28674 28680 29160 29592 30105 30551 31860 32112 32265 32332 32743 32880 33291 34416 35680 36126 36990 38232 38240 38718 38880 39456 39471 40140 40415 42303 42480 43011 43020 44388 47790 48168 48498 49320 50976 51624 52628 53297 53520 54189 55485 56404 57121 57348 57360 58077 58320 59184 60210 61102 63720 64224 64530 64664 65486 65760 65785 66582 68832 70505 71685 72252 72747 73980 76464 77436 78942 80280 80830 84606 84960 86022 86040 88776 90315 91653 95580 96336 96795 96996 98229 98640 99873 103248 105256 106594 107040 108378 110970 112808 114242 114696 114720 116154 116640 118368 118413 120420 121245 122204 126909 127440 129060 129328 130972 131570 133164 141010 143370 144504 145494 147960 152755 152928 154872 157884 159891 160560 161660 162567 163715 166455 169212 171363 172044 172080 174231 177552 180630 183306 191160 192672 193590 193992 196458 197280 197355 199746 206496 210512 211515 213188 215055 216756 218241 221940 225616 228484 229392 232308 236826 240840 242490 244408 253818 254880 258120 258656 261944 263140 266328 266485 270945 274959 282020 285605 286740 289008 290385 290988 294687 295920 305510 309744 315768 319782 321120 323320 325134 327430 332910 338424 342726 344088 344160 348462 355104 355239 361260 363735 366612 380727 382320 387180 387984 392916 394710 399492 421024 423030 426376 430110 433512 436482 443880 451232 456968 458265 458784 464616 473652 479673 481680 484980 488816 491145 499365 507636 514089 516240 523888 526280 532656 532970 541890 549918 564040 571210 573480 578016 580770 581976 589374 591840 592065 611020 619488 631536 634545 639564 646640 650268 654723 654860 665820 676848 685452 688176 696924 710478 722520 727470 733224 761454 764640 774360 775968 785832 789420 798984 799455 812835 824877 846060 852752 856815 860220 867024 871155 872964 884061 887760 913936 916530 929232 947304 959346 963360 969960 977632 982290 998730 1015272 1028178 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1884711964680 1947994264224 1994583065760 2059222331780 2093686303860 2120300960265 2191493547252 2243905948980 2261654357616 2434992830280 2471066798136 2512423564632 2512949286240 2544361152318 2692687138776 2739366934065 2779950147903 2791581738480 2827067947020 2921991396336 2991874598640 3088833497670 3140529455790 3246657107040 3294755730848 3349898086176 3365858923470 3392481536424 3590249518368 3652489245420 3706600197204 3769423929360 4118444663560 4187372607720 4240601920530 4382987094504 4487811897960 4523308715232 4633250246505 4869985660560 4942133596272 5024847129264 5088722304636 5385374277552 5478733868130 5559900295806 5583163476960 5654135894040 5843982792672 5983749197280 6177666995340 6281058911580 6360902880795 6731717846940 6784963072848 7304978490840 7413200394408 7538847858720 8236889327120 8339850443709 8374745215440 8481203841060 8765974189008 8975623795920 9266500493010 9739971321120 9884267192544 10049694258528 10177444609272 10770748555104 10957467736260 11119800591612 11308271788080 12355333990680 12562117823160 12721805761590 13463435693880 13569926145696 13899750739515 14609956981680 14826400788816 16473778654240 16679700887418 16749490430880 16962407682120 17531948378016 17951247591840 18533000986020 20354889218544 21914935472520 22239601183224 22616543576160 24710667981360 25019551331127 25124235646320 25443611523180 26926871387760 27799501479030 29219913963360 29652801577632 33359401774836 33924815364240 37066001972040 40709778437088 41699252218545 43829870945040 44479202366448 49421335962720 50039102662254 50248471292640 50887223046360 53853742775520 55599002958060 66718803549672 67849630728480 74132003944080 75058653993381 83398504437090 87659741890080 88958404732896 100078205324508 101774446092720 111198005916120 125097756655635 133437607099344 148264007888160 150117307986762 166797008874180 200156410649016 203548892185440 222396011832240 250195513311270 266875214198688 300234615973524 333594017748360 375293269966905 400312821298032 444792023664480 500391026622540 600469231947048 667188035496720 750586539933810 800625642596064 1000782053245080 1200938463894096 1334376070993440 1501173079867620 2001564106490160 2401876927788192 3002346159735240 4003128212980320 6004692319470480 12009384638940960
- Sum of all divisors σ(n): 43954873132423680
- Sum of proper divisors (its aliquot sum) s(n): 31945488493482720
- 12009384638940960 is an abundant number, because the sum of its proper divisors (31945488493482720) is greater than itself. Its abundance is 19936103854541760
Bases of 12009384638940960
- Binary: 1010101010101001111000110000010110000000000111001000002
- Hexadecimal: 0x2AAA78C1600720
- Base-36: 3A8YZ50WI00
Squares and roots of 12009384638940960
- 12009384638940960 squared (120093846389409602) is 144225319406031092182830365721600
- 12009384638940960 cubed (120093846389409603) is 1732057335421143339559143897957260885710196736000
-
The
square root of 12009384638940960 is 109587337.9498788629 -
The
cube root of 12009384638940960 is 229002.5147918373
Scales and comparisons
How big is 12009384638940960?- 12,009,384,638,940,960 seconds is equal to 381,861,284 years, 2 weeks, 5 days, 3 hours, 36 minutes.
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To count from 1 to 12,009,384,638,940,960 would take you about one billion, one hundred forty-five million, five hundred eighty-three thousand, eight hundred fifty-two 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 12009384638940960 cubic inches would be around 19083.5 feet tall.
Recreational maths with 12009384638940960
- 12009384638940960 backwards is 06904983648390021
- 12009384638940960 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 12009384638940960's digits is 72
- More coming soon!
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The information we have on file for 12009384638940960 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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