12988109699072000
12,988,109,699,072,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 12988109699072000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
12988109699072000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 12988109699072000:
214 × 53 × 41 × 313 × 331 × 1493
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 41 × 313 × 331 × 1493)See below for interesting mathematical facts about the number 12988109699072000 from the Numbermatics database.
Names of 12988109699072000
- Cardinal: 12988109699072000 can be written as Twelve quadrillion, nine hundred eighty-eight trillion, one hundred nine billion, six hundred ninety-nine million, seventy-two thousand.
Scientific notation
- Scientific notation: 1.2988109699072 × 1016
Factors of 12988109699072000
Divisors of 12988109699072000
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 41 50 64 80 82 100 125 128 160 164 200 205 250 256 313 320 328 331 400 410 500 512 626 640 656 662 800 820 1000 1024 1025 1252 1280 1312 1324 1493 1565 1600 1640 1655 2000 2048 2050 2504 2560 2624 2648 2986 3130 3200 3280 3310 4000 4096 4100 5008 5120 5125 5248 5296 5972 6260 6400 6560 6620 7465 7825 8000 8192 8200 8275 10016 10240 10250 10496 10592 11944 12520 12800 12833 13120 13240 13571 14930 15650 16000 16384 16400 16550 20032 20480 20500 20992 21184 23888 25040 25600 25666 26240 26480 27142 29860 31300 32000 32800 33100 37325 39125 40064 40960 41000 41375 41984 42368 47776 50080 51200 51332 52480 52960 54284 59720 61213 62600 64000 64165 65600 66200 67855 74650 78250 80128 81920 82000 82750 83968 84736 95552 100160 102400 102664 103603 104960 105920 108568 119440 122426 125200 128000 128330 131200 132400 135710 149300 156500 160256 164000 165500 167936 169472 186625 191104 200320 204800 205328 207206 209920 211840 217136 238880 244852 250400 256000 256660 262400 264800 271420 298600 306065 313000 320512 320825 328000 331000 335872 338944 339275 373250 382208 400640 409600 410656 414412 419840 423680 434272 467309 477760 489704 494183 500800 512000 513320 518015 524800 529600 542840 597200 612130 626000 641024 641650 656000 662000 671744 677888 678550 746500 764416 801280 821312 828824 839680 847360 868544 934618 955520 979408 988366 1001600 1024000 1026640 1036030 1049600 1059200 1085680 1194400 1224260 1252000 1282048 1283300 1312000 1324000 1355776 1357100 1493000 1528832 1530325 1602560 1604125 1642624 1657648 1679360 1694720 1696375 1737088 1869236 1911040 1958816 1976732 2003200 2048000 2053280 2072060 2099200 2118400 2171360 2336545 2388800 2448520 2470915 2504000 2564096 2566600 2590075 2624000 2648000 2711552 2714200 2986000 3057664 3060650 3205120 3208250 3285248 3315296 3358720 3389440 3392750 3474176 3738472 3822080 3917632 3953464 4006400 4106560 4144120 4198400 4236800 4247723 4342720 4673090 4777600 4897040 4941830 5008000 5128192 5133200 5180150 5248000 5296000 5423104 5428400 5972000 6115328 6121300 6410240 6416500 6570496 6630592 6778880 6785500 6948352 7476944 7644160 7651625 7835264 7906928 8012800 8213120 8288240 8396800 8473600 8495446 8685440 9346180 9555200 9794080 9883660 10016000 10266400 10360300 10496000 10592000 10856800 11682725 11944000 12230656 12242600 12354575 12820480 12833000 12950375 13140992 13261184 13557760 13571000 13896704 14953888 15288320 15303250 15670528 15813856 16025600 16426240 16576480 16793600 16947200 16990892 17370880 18692360 19110400 19159669 19588160 19767320 20032000 20261503 20532800 20720600 20992000 21184000 21238615 21713600 23365450 23888000 24461312 24485200 24709150 25640960 25666000 25900750 26281984 26522368 27115520 27142000 27793408 29907776 30576640 30606500 31341056 31627712 32051200 32852480 33152960 33894400 33981784 34741760 37384720 38220800 38319338 39176320 39534640 40064000 40523006 41065600 41441200 41984000 42368000 42477230 43427200 46730900 47776000 48970400 49418300 51332000 51801500 52563968 53044736 54284000 55586816 58413625 59815552 61153280 61213000 61772875 62682112 63255424 64102400 65704960 66305920 67788800 67963568 69483520 74769440 76441600 76638676 78352640 79069280 80128000 81046012 82131200 82882400 83968000 84736000 84954460 86854400 93461800 95552000 95798345 97940800 98836600 101307515 102664000 103603000 105127936 106089472 106193075 108568000 111173632 116827250 119631104 122306560 122426000 123545750 125364224 126510848 128204800 131409920 132611840 135577600 135927136 138967040 149538880 152883200 153277352 154679279 156705280 158138560 160256000 162092024 164262400 165764800 169472000 169908920 173708800 186923600 191104000 191596690 195881600 197673200 202615030 205328000 207206000 210255872 212178944 212386150 217136000 222347264 233654500 239262208 244852000 247091500 250728448 253021696 262819840 265223680 271854272 277934080 299077760 305766400 306554704 309358558 313410560 316277120 320512000 324184048 328524800 331529600 338944000 339817840 347417600 373847200 382208000 383193380 391763200 395346400 405230060 410656000 414412000 424357888 424772300 434272000 467309000 478524416 478991725 489704000 494183000 501456896 506043392 506537575 525639680 530447360 530965375 543708544 555868160 598155520 611532800 613109408 618717116 626821120 632554240 641024000 648368096 657049600 663059200 677888000 679635680 694835200 747694400 764416000 766386760 773396395 783526400 790692800 810460120 821312000 828824000 848715776 849544600 868544000 934618000 957048832 957983450 979408000 988366000 1002913792 1012086784 1013075150 1051279360 1060894720 1061930750 1087417088 1111736320 1196311040 1226218816 1237434232 1253642240 1265108480 1296736192 1314099200 1326118400 1359271360 1389670400 1495388800 1528832000 1532773520 1546792790 1567052800 1581385600 1620920240 1642624000 1657648000 1697431552 1699089200 1737088000 1869236000 1914097664 1915966900 1958816000 1976732000 2024173568 2026150300 2121789440 2123861500 2174834176 2392622080 2394958625 2452437632 2474868464 2507284480 2530216960 2532687875 2593472384 2628198400 2652236800 2718542720 2779340800 2990777600 3057664000 3065547040 3093585580 3134105600 3162771200 3241840480 3285248000 3315296000 3398178400 3474176000 3738472000 3828195328 3831933800 3866981975 3917632000 3953464000 4048347136 4052300600 4243578880 4247723000 4349668352 4785244160 4789917250 4904875264 4949736928 5014568960 5060433920 5065375750 5186944768 5256396800 5304473600 5437085440 5558681600 5981555200 6131094080 6187171160 6268211200 6325542400 6341850439 6483680960 6570496000 6630592000 6796356800 6948352000 7476944000 7656390656 7663867600 7733963950 7835264000 7906928000 8096694272 8104601200 8487157760 8495446000 8699336704 9570488320 9579834500 9809750528 9899473856 10120867840 10130751500 10373889536 10608947200 10874170880 11963110400 12262188160 12374342320 12536422400 12651084800 12683700878 12967361920 13140992000 13261184000 13592713600 13896704000 14953888000 15327735200 15467927900 15670528000 15813856000 16209202400 16990892000 17398673408 19140976640 19159669000 19334909875 19619501056 19798947712 20241735680 20261503000 20747779072 21217894400 21748341760 23926220800 24524376320 24748684640 25072844800 25302169600 25367401756 25934723840 26281984000 26522368000 27185427200 27793408000 29907776000 30655470400 30935855800 31341056000 31627712000 31709252195 32418404800 33981784000 34797346816 38281953280 38319338000 38669819750 39239002112 39597895424 40483471360 40523006000 41495558144 42435788800 43496683520 47852441600 49048752640 49497369280 50604339200 50734803512 51869447680 53044736000 54370854400 59815552000 61310940800 61871711600 62682112000 63255424000 63418504390 64836809600 67963568000 69594693632 76638676000 77339639500 78478004224 79195790848 81046012000 82991116288 86993367040 95704883200 98097505280 98994738560 101208678400 101469607024 103738895360 106089472000 108741708800 119631104000 122621881600 123743423200 125364224000 126510848000 126837008780 129673619200 135927136000 153277352000 154679279000 156956008448 158391581696 158546260975 162092024000 165982232576 173986734080 191409766400 196195010560 197989477120 202417356800 202939214048 207477790720 212178944000 217483417600 239262208000 245243763200 247486846400 253021696000 253674017560 259347238400 271854272000 306554704000 309358558000 313912016896 316783163392 317092521950 324184048000 331964465152 347973468160 392390021120 395978954240 405878428096 414955581440 434966835200 478524416000 490487526400 494973692800 506043392000 507348035120 518694476800 543708544000 613109408000 618717116000 633566326784 634185043900 648368096000 784780042240 791957908480 792731304875 811756856192 829911162880 869933670400 957048832000 980975052800 989947385600 1012086784000 1014696070240 1037388953600 1087417088000 1226218816000 1237434232000 1267132653568 1268370087800 1296736192000 1569560084480 1583915816960 1585462609750 1623513712384 1659822325760 1739867340800 1961950105600 1979894771200 2029392140480 2074777907200 2174834176000 2452437632000 2474868464000 2534265307136 2536740175600 2593472384000 3167831633920 3170925219500 3247027424768 3923900211200 3959789542400 4058784280960 4149555814400 4349668352000 4904875264000 4949736928000 5073480351200 5186944768000 6335663267840 6341850439000 6494054849536 7847800422400 7919579084800 8117568561920 8299111628800 8699336704000 9809750528000 9899473856000 10146960702400 10373889536000 12671326535680 12683700878000 12988109699072 15839158169600 16235137123840 19619501056000 19798947712000 20293921404800 20747779072000 25367401756000 25976219398144 31678316339200 32470274247680 39239002112000 39597895424000 40587842809600 41495558144000 50734803512000 51952438796288 63356632678400 64940548495360 79195790848000 81175685619200 101469607024000 103904877592576 129881096990720 158391581696000 162351371238400 202939214048000 259762193981440 316783163392000 324702742476800 405878428096000 519524387962880 649405484953600 811756856192000 1298810969907200 1623513712384000 2597621939814400 3247027424768000 6494054849536000 12988109699072000
- Sum of all divisors σ(n): 33437122721428608
- Sum of proper divisors (its aliquot sum) s(n): 20449013022356608
- 12988109699072000 is an abundant number, because the sum of its proper divisors (20449013022356608) is greater than itself. Its abundance is 7460903323284608
Bases of 12988109699072000
- Binary: 1011100010010010011101111100001110101011000000000000002
- Hexadecimal: 0x2E249DF0EAC000
- Base-36: 3JVWF83RTA8
Squares and roots of 12988109699072000
- 12988109699072000 squared (129881096990720002) is 168690993555128158397661184000000
- 12988109699072000 cubed (129881096990720003) is 2190977129539452276808640750230855221248000000000
-
The
square root of 12988109699072000 is 113965388.1626873589 -
The
cube root of 12988109699072000 is 235061.7595279779
Scales and comparisons
How big is 12988109699072000?- 12,988,109,699,072,000 seconds is equal to 412,981,713 years, 29 weeks, 4 days, 6 hours, 13 minutes, 20 seconds.
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To count from 1 to 12,988,109,699,072,000 would take you about one billion, two hundred thirty-eight million, nine hundred forty-five thousand, one hundred forty 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 12988109699072000 cubic inches would be around 19588.5 feet tall.
Recreational maths with 12988109699072000
- 12988109699072000 backwards is 00027099690188921
- The number of decimal digits it has is: 17
- The sum of 12988109699072000's digits is 71
- More coming soon!
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The information we have on file for 12988109699072000 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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