97968161503324200
97,968,161,503,324,200 is an even composite number composed of seven prime numbers multiplied together.
97968161503324200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 97968161503324200:
23 × 3 × 52 × 112 × 712 × 103 × 2598929
(2 × 2 × 2 × 3 × 5 × 5 × 11 × 11 × 71 × 71 × 103 × 2598929)See below for interesting mathematical facts about the number 97968161503324200 from the Numbermatics database.
Names of 97968161503324200
- Cardinal: 97968161503324200 can be written as Ninety-seven quadrillion, nine hundred sixty-eight trillion, one hundred sixty-one billion, five hundred three million, three hundred twenty-four thousand, two hundred.
Scientific notation
- Scientific notation: 9.79681615033242 × 1016
Factors of 97968161503324200
Divisors of 97968161503324200
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 71 75 88 100 103 110 120 121 132 142 150 165 200 206 213 220 242 264 275 284 300 309 330 355 363 412 426 440 484 515 550 568 600 605 618 660 710 726 781 824 825 852 968 1030 1065 1100 1133 1210 1236 1320 1420 1452 1545 1562 1650 1704 1775 1815 2060 2130 2200 2266 2343 2420 2472 2575 2840 2904 3025 3090 3124 3300 3399 3550 3630 3905 4120 4260 4532 4686 4840 5041 5150 5325 5665 6050 6180 6248 6600 6798 7100 7260 7313 7725 7810 8520 8591 9064 9075 9372 10082 10300 10650 11330 11715 12100 12360 12463 13596 14200 14520 14626 15123 15450 15620 16995 17182 18150 18744 19525 20164 20600 21300 21939 22660 23430 24200 24926 25205 25773 27192 28325 29252 30246 30900 31240 33990 34364 36300 36565 37389 39050 40328 42600 42955 43878 45320 46860 49852 50410 51546 55451 56650 58504 58575 60492 61800 62315 67980 68728 72600 73130 74778 75615 78100 80443 84975 85910 87756 93720 99704 100820 103092 109695 110902 113300 117150 120984 124630 126025 128865 135960 146260 149556 151230 156200 160886 166353 169950 171820 175512 182825 186945 201640 206184 214775 219390 221804 226600 234300 241329 249260 252050 257730 277255 292520 299112 302460 311575 321772 332706 339900 343640 365650 373890 378075 402215 429550 438780 443608 468600 482658 498520 504100 515460 519223 548475 554510 604920 609961 623150 643544 644325 665412 679800 731300 747780 756150 804430 831765 859100 877560 884873 934725 965316 1008200 1030920 1038446 1096950 1109020 1206645 1219922 1246300 1288650 1330824 1386275 1462600 1495560 1512300 1557669 1608860 1663530 1718200 1769746 1829883 1869450 1930632 2011075 2076892 2193900 2218040 2413290 2439844 2492600 2577300 2596115 2598929 2654619 2772550 3024600 3049805 3115338 3217720 3327060 3539492 3659766 3738900 4022150 4153784 4158825 4387800 4424365 4826580 4879688 5154600 5192230 5197858 5309238 5545100 5711453 6033225 6099610 6230676 6654120 7078984 7319532 7477800 7788345 7796787 8044300 8317650 8848730 9149415 9653160 10384460 10395716 10618476 11090200 11422906 12066450 12199220 12461352 12980575 12994645 13273095 14639064 15249025 15576690 15593574 16088600 16635300 17134359 17697460 18298830 20768920 20791432 21236952 22121825 22845812 24132900 24398440 25961150 25989290 26546190 28557265 28588219 30498050 31153380 31187148 33270600 34268718 35394920 36597660 38941725 38983935 44243650 45691624 45747075 48265800 51922300 51978580 53092380 57114530 57176438 60996100 62306760 62374296 62825983 64973225 66365475 68537436 73195320 77883450 77967870 85671795 85764657 88487300 91494150 103844600 103957160 106184760 114229060 114352876 121992200 125651966 129946450 132730950 137074872 142786325 142941095 155766900 155935740 171343590 171529314 176974600 182988300 184523959 188477949 194919675 228458120 228705752 251303932 259892900 265461900 267689687 285572650 285882190 311533800 311871480 314129915 314470409 342687180 343058628 365976600 369047918 376955898 389839350 428358975 428823285 502607864 519785800 530923800 535379374 553571877 571145300 571764380 628259830 628940818 685374360 686117256 714705475 738095836 753911796 779678700 803069061 856717950 857646570 922619795 942389745 943411227 1070758748 1107143754 1142290600 1143528760 1256519660 1257881636 1338448435 1429410950 1476191672 1507823592 1559357400 1570649575 1572352045 1606138122 1713435900 1715293140 1845239590 1884779490 1886822454 2029763549 2141517496 2144116425 2214287508 2513039320 2515763272 2676896870 2767859385 2858821900 2944586557 3141299150 3144704090 3212276244 3426871800 3430586280 3690479180 3769558980 3773644908 4015345305 4059527098 4288232850 4428575016 4613098975 4711948725 4717056135 5353793740 5535718770 5717643800 5889173114 6089290647 6282598300 6289408180 6424552488 6692242175 7380958360 7539117960 7547289816 7861760225 8030690610 8119054196 8576465700 8833759671 9226197950 9423897450 9434112270 10148817745 10707587480 11071437540 11778346228 12178581294 12565196600 12578816360 13101201089 13384484350 13839296925 14722932785 15723520450 16061381220 16238108392 17152931400 17667519342 18452395900 18847794900 18868224540 19005967777 20076726525 20297635490 22142875080 22327399039 23556692456 23585280675 24357162588 26202402178 26768968700 27678593850 29445865570 30446453235 31447040900 32122762440 32390452127 35335038684 36904791800 37695589800 37736449080 38011935554 39303603267 40153453050 40595270980 44168798355 44654798078 47170561350 48714325176 50744088725 52404804356 53537937400 55357187700 57017903331 58891731140 60892906470 62894081800 64780904254 65506005445 66982197117 70670077368 73614663925 76023871108 78607206534 80306906100 81190541960 88337596710 89309596156 94341122700 95029838885 97171356381 101488177450 104809608712 110714375400 111636995195 114035806662 117783462280 121785812940 129561808508 131012010890 133964394234 144113211979 147229327850 152047742216 152232266175 157214413068 160613812200 161952260635 176675193420 178619192312 188682245400 190059677770 194342712762 196518016335 202976354900 209065645547 220843991775 223273990390 228071613324 243571625880 259123617016 262024021780 267928788468 285089516655 288226423958 294458655700 304464532350 314428826136 323904521270 327530027225 334910985585 353350386840 380119355540 388685425524 393036032670 405952709800 418131291094 432339635937 441687983550 446547980780 456143226648 475149194425 485856781905 524048043560 535857576936 558184975975 570179033310 576452847916 588917311400 608929064700 627196936641 647809042540 655060054450 669821971170 720566059895 760238711080 777370851048 786072065340 809761303175 836262582188 864679271874 883375967100 893095961560 950298388850 971713563810 982590081675 1045328227735 1116369951950 1140358066620 1152905695832 1217858129400 1254393873282 1295618085080 1310120108900 1339643942340 1349423712167 1425447583275 1441132119790 1572144130680 1585245331769 1619522606350 1672525164376 1674554927925 1729358543748 1766751934200 1900596777700 1943427127620 1965180163350 2090656455470 2161698179685 2232739903900 2280716133240 2299722101017 2429283909525 2508787746564 2620240217800 2679287884680 2698847424334 2850895166550 2882264239580 3135984683205 3170490663538 3239045212700 3349109855850 3458717087496 3602830299475 3801193555400 3886854255240 3930360326700 4048271136501 4181312910940 4323396359370 4465479807800 4599444202034 4755735995307 4858567819050 5017575493128 5226641138675 5397694848668 5701790333100 5764528479160 6271969366410 6340981327076 6478090425400 6698219711700 6747118560835 6899166303051 7205660598950 7860720653400 7926226658845 8096542273002 8362625821880 8646792718740 9198888404068 9511471990614 9717135638100 10453282277350 10795389697336 10808490898425 11403580666200 11498610505085 12543938732820 12681962654152 13396439423400 13494237121670 13798332606102 14411321197900 14843660833837 15679923416025 15852453317690 16193084546004 17293585437480 18397776808136 19022943981228 19434271276200 20241355682505 20906564554700 21616981796850 22997221010170 23778679976535 25087877465640 26988474243340 27596665212204 28822642395800 29687321667674 31359846832050 31704906635380 32386169092008 33735592804175 34495831515255 38045887962456 39631133294225 40482711365010 41813129109400 43233963593700 44530982501511 45994442020340 47557359953070 53976948486680 55193330424408 57493052525425 59374643335348 62719693664100 63409813270760 67471185608350 68991663030510 74218304169185 79262266588450 80965422730020 86467927187400 89061965003022 91988884040680 95114719906140 101206778412525 114986105050850 118749286670696 118893399882675 125439387328200 134942371216700 137983326061020 148436608338370 158524533176900 161930845460040 163280269172207 172479157576275 178123930006044 190229439812280 202413556825050 222654912507555 229972210101700 237786799765350 269884742433400 275966652122040 296873216676740 317049066353800 326560538344414 344958315152550 356247860012088 371091520845925 404827113650100 445309825015110 459944420203400 475573599530700 489840807516621 593746433353480 653121076688828 689916630305100 742183041691850 809654227300200 816401345861035 890619650030220 951147199061400 979681615033242 1113274562537775 1306242153377656 1379833260610200 1484366083383700 1632802691722070 1781239300060440 1959363230066484 2226549125075550 2449204037583105 2968732166767400 3265605383444140 3918726460132968 4082006729305175 4453098250151100 4898408075166210 6531210766888280 8164013458610350 8906196500302200 9796816150332420 12246020187915525 16328026917220700 19593632300664840 24492040375831050 32656053834441400 48984080751662100 97968161503324200
- Sum of all divisors σ(n): 341875752429556800
- Sum of proper divisors (its aliquot sum) s(n): 243907590926232600
- 97968161503324200 is an abundant number, because the sum of its proper divisors (243907590926232600) is greater than itself. Its abundance is 145939429422908400
Bases of 97968161503324200
- Binary: 1010111000000110110000110000110011011010000101000001010002
- Hexadecimal: 0x15C0D8619B42828
- Base-36: QSMTC2W3V3C
Squares and roots of 97968161503324200
- 97968161503324200 squared (979681615033242002) is 9597760668341413774927650305640000
- 97968161503324200 cubed (979681615033242003) is 940274967226324437854137223629078376006008488000000
-
The
square root of 97968161503324200 is 312998660.5455751787 -
The
cube root of 97968161503324200 is 460993.6954439855
Scales and comparisons
How big is 97968161503324200?- 97,968,161,503,324,200 seconds is equal to 3,115,084,500 years, 20 weeks, 7 hours, 50 minutes.
-
To count from 1 to 97,968,161,503,324,200 would take you about nine billion, three hundred forty-five million, two hundred fifty-three thousand, five hundred one 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 97968161503324200 cubic inches would be around 38416.1 feet tall.
Recreational maths with 97968161503324200
- 97968161503324200 backwards is 00242330516186979
- 97968161503324200 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 97968161503324200's digits is 66
- More coming soon!
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The information we have on file for 97968161503324200 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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