107013641264640
107,013,641,264,640 is an even composite number composed of eight prime numbers multiplied together.
107013641264640 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 107013641264640:
29 × 32 × 5 × 11 × 37 × 53 × 197 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 37 × 53 × 197 × 1093)See below for interesting mathematical facts about the number 107013641264640 from the Numbermatics database.
Names of 107013641264640
- Cardinal: 107013641264640 can be written as One hundred seven trillion, thirteen billion, six hundred forty-one million, two hundred sixty-four thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.0701364126464 × 1014
Factors of 107013641264640
Divisors of 107013641264640
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 37 40 44 45 48 53 55 60 64 66 72 74 80 88 90 96 99 106 110 111 120 128 132 144 148 159 160 165 176 180 185 192 197 198 212 220 222 240 256 264 265 288 296 318 320 330 333 352 360 370 384 394 396 407 424 440 444 477 480 495 512 528 530 555 576 583 591 592 636 640 660 666 704 720 740 768 788 792 795 814 848 880 888 954 960 985 990 1056 1060 1093 1110 1152 1166 1182 1184 1221 1272 1280 1320 1332 1408 1440 1480 1536 1576 1584 1590 1628 1665 1696 1749 1760 1773 1776 1908 1920 1961 1970 1980 2035 2112 2120 2167 2186 2220 2304 2332 2364 2368 2385 2442 2544 2560 2640 2664 2816 2880 2915 2955 2960 3152 3168 3180 3256 3279 3330 3392 3498 3520 3546 3552 3663 3816 3840 3922 3940 3960 4070 4224 4240 4334 4372 4440 4608 4664 4728 4736 4770 4884 5088 5247 5280 5328 5465 5632 5760 5830 5883 5910 5920 6105 6304 6336 6360 6501 6512 6558 6660 6784 6996 7040 7092 7104 7289 7326 7632 7680 7844 7880 7920 8140 8448 8480 8668 8744 8745 8865 8880 9328 9456 9472 9540 9768 9805 9837 10176 10441 10494 10560 10656 10835 10930 11520 11660 11766 11820 11840 12023 12210 12608 12672 12720 13002 13024 13116 13320 13568 13992 14080 14184 14208 14578 14652 15264 15688 15760 15840 16280 16395 16896 16960 17336 17488 17490 17649 17730 17760 18315 18656 18912 18944 19080 19503 19536 19610 19674 20352 20882 20988 21120 21312 21571 21670 21860 21867 23040 23320 23532 23640 23680 24046 24420 25216 25344 25440 26004 26048 26232 26235 26640 27136 27984 28160 28368 28416 29156 29304 29415 30528 31323 31376 31520 31680 32505 32560 32790 33920 34672 34976 34980 35298 35460 35520 36069 36445 36630 37312 37824 38160 39006 39072 39220 39348 40441 40704 41764 41976 42240 42624 43142 43340 43720 43734 46640 47064 47280 47360 48092 48840 49185 50432 50688 50880 52008 52096 52205 52464 52470 53280 55968 56736 56832 57929 58312 58608 58830 60115 61056 62646 62752 63040 63360 64713 65010 65120 65580 65601 67840 69344 69952 69960 70596 70920 71040 72138 72890 73260 74624 75648 76320 78012 78144 78440 78696 80179 80882 81408 83528 83952 84480 85248 86284 86680 87440 87468 88245 93280 93969 94128 94560 94720 96184 97515 97680 98370 100864 101760 104016 104192 104410 104928 104940 106560 107855 108207 109335 111936 113472 114851 115858 116624 117216 117660 120230 121323 122112 125292 125504 126080 126720 129426 130020 130240 131160 131202 135680 138688 139904 139920 141192 141840 142080 144276 145780 146520 149248 151296 152640 156024 156288 156615 156880 157392 160358 161764 167056 167904 170496 172568 173360 173787 174880 174936 176490 180345 186560 187938 188256 189120 192368 194139 195030 195360 196740 202205 203520 208032 208384 208820 209856 209880 213120 215321 215710 216414 218670 223872 226944 229702 231716 233248 234432 235320 240460 240537 242646 244224 250584 251008 252160 253440 258852 260040 260480 262320 262404 277376 279808 279840 282384 283680 284160 288552 289645 291560 293040 298496 302592 305280 312048 312576 313230 313760 314784 320716 323528 323565 328005 334112 335808 344553 345136 346720 347574 349760 349872 352980 360690 363969 373120 375876 376512 378240 384736 386317 388278 390060 390720 393480 400895 404410 407040 416064 417640 419712 419760 426240 430642 431420 432828 437340 444851 447744 453888 459404 463432 466496 468864 469845 470640 480920 481074 485292 501168 502016 504320 517704 520080 520960 521361 524640 524808 541035 554752 559616 559680 564768 567360 574255 577104 579290 583120 586080 606615 610560 624096 625152 626460 627520 629568 637219 641432 645963 647056 647130 656010 668224 671616 689106 690272 693440 695148 699520 699744 705960 721380 721611 727938 746240 751752 753024 756480 769472 772634 776556 780120 781440 786960 801790 808820 832128 835280 839424 839520 852480 861284 862840 865656 868935 874680 889702 895488 907776 918808 926864 932992 937728 939690 941280 961840 962148 970584 970695 1002336 1004032 1033659 1035408 1040160 1041920 1042722 1049280 1049616 1076605 1082070 1109504 1119360 1129536 1134720 1148510 1154208 1158580 1158951 1166240 1172160 1202685 1213230 1221120 1248192 1252920 1255040 1259136 1274438 1282864 1291926 1294112 1294260 1312020 1334553 1336448 1343232 1378212 1380544 1386880 1390296 1399040 1399488 1411920 1442760 1443222 1455876 1492480 1503504 1506048 1512960 1538944 1545268 1553112 1560240 1562880 1573920 1603580 1617640 1664256 1670560 1678848 1679040 1722568 1722765 1725680 1731312 1737870 1749360 1779404 1819845 1837616 1853728 1865984 1875456 1879380 1882560 1911657 1923680 1924296 1931585 1937889 1941168 1941390 2004672 2067318 2070816 2080320 2085444 2098560 2099232 2143373 2153210 2164140 2224255 2238720 2259072 2269440 2297020 2308416 2317160 2317902 2332480 2344320 2368531 2405370 2426460 2496384 2505840 2510080 2518272 2548876 2565728 2583852 2588224 2588520 2606805 2624040 2669106 2672896 2686464 2756424 2761088 2773760 2780592 2798080 2798976 2823840 2885520 2886444 2911752 3007008 3012096 3077888 3090536 3106224 3120480 3125760 3147840 3186095 3207160 3229815 3235280 3328512 3341120 3358080 3445136 3445530 3451360 3462624 3475740 3476853 3498720 3558808 3608055 3639690 3675232 3707456 3731968 3758760 3765120 3823314 3847360 3848592 3863170 3875778 3882336 3882780 4003659 4009344 4134636 4141632 4160640 4170888 4197120 4198464 4249487 4286746 4306420 4328280 4448510 4477440 4518144 4538880 4594040 4616832 4634320 4635804 4664960 4688640 4737062 4810740 4852920 4992768 5011680 5020160 5036544 5097752 5131456 5167704 5168295 5176448 5177040 5213610 5248080 5338212 5345792 5512848 5522176 5547520 5561184 5597952 5647680 5734971 5771040 5772888 5794755 5823504 6014016 6155776 6181072 6212448 6240960 6295680 6372190 6414320 6430119 6459630 6470560 6672765 6682240 6716160 6890272 6891060 6902720 6925248 6951480 6953706 6997440 7105593 7117616 7216110 7279380 7350464 7414912 7517520 7530240 7646628 7694720 7697184 7726340 7751556 7764672 7765560 7966877 8007318 8018688 8269272 8283264 8321280 8341776 8394240 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51764480 53382120 55122176 55128480 55221760 55401984 55611840 55629648 55979520 56844744 56940928 57060065 57349710 57728880 58235040 58803712 60140160 61173024 61577472 61810720 62012448 62117376 62124480 63735016 63742305 64058544 64301190 66154176 66734208 67991792 68472078 68587936 68902720 69252480 69537060 70731309 71055930 71176160 71701893 73504640 74149120 74172864 75792992 76466280 76490766 76971840 77161428 77515560 77646720 79668770 80073180 80186880 81564032 82683264 82692720 82832640 83417760 83969280 84989740 85267116 85411392 85734920 87635647 88205568 88978944 91296104 91759536 92336640 92366208 92716080 93176064 94308412 94741240 95602524 96451785 98897152 99399168 101955040 101987688 102629120 102708117 102881904 103354080 103528960 106583895 106764240 110244352 110256960 111223680 111259296 113689488 113881856 114120130 114699420 115457760 116470080 117885515 119503155 120280320 122346048 123154944 123621440 124024896 124248960 125532143 127470032 127484610 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310062240 310586880 318675080 320292720 326256128 330733056 330770880 333671040 339958960 341068464 341645568 342360390 342939680 350542588 353656545 358509465 365184416 367038144 369464832 370864320 376596429 377233648 378964960 382410096 382453830 385807140 407820160 407950752 410832468 411527616 413416320 422244481 424387854 426335580 427056960 438178235 441027840 444894720 445037184 454757952 456480520 458797680 461831040 465880320 471542060 478012620 489384192 494485760 496099584 496995840 502128572 509880128 509938440 512468352 513540585 514409520 525813882 529233408 543934336 547776624 548703488 551221760 556296480 565850472 568447440 569409280 573615144 593382912 606343936 611730240 611926128 615774720 617291424 620124480 627660715 637350160 640585440 661541760 667342080 679917920 682136928 683291136 684720780 685879360 701085176 707313090 717018930 730368832 734076288 741728640 753192858 754467296 757929920 764820192 764907660 771614280 788720823 815640320 815901504 821664936 823055232 826832640 844488962 848775708 852671160 854113920 876356470 882055680 890074368 909515904 912961040 917595360 923662080 931760640 943084120 956025240 978768384 988971520 992199168 1004257144 1019760256 1019876880 1024936704 1027081170 1028819040 1051627764 1060969635 1087868672 1095553248 1097406976 1112592960 1129789287 1131700944 1136894880 1138818560 1147230288 1212687872 1223460480 1223852256 1234582848 1240248960 1255321430 1266733443 1274700320 1281170880 1314534705 1323083520 1334684160 1359835840 1364273856 1369441560 1371758720 1402170352 1414626180 1434037860 1460737664 1468152576 1483457280 1506385716 1508934592 1515859840 1529640384 1529815320 1543228560 1577441646 1631280640 1631803008 1643329872 1646110464 1653665280 1688977924 1697551416 1705342320 1708227840 1752712940 1780148736 1819031808 1825922080 1835190720 1847324160 1882982145 1886168240 1912050480 2008514288 2039520512 2039753760 2049873408 2054162340 2057638080 2103255528 2111222405 2121939270 2175737344 2191106496 2225185920 2259578574 2263401888 2273789760 2294460576 2446920960 2447704512 2469165696 2480497920 2510642860 2533466886 2549400640 2562341760 2629069410 2646167040 2719671680 2728547712 2738883120 2743517440 2804340704 2829252360 2868075720 2921475328 2936305152 2966914560 3012771432 3017869184 3031719680 3059280768 3059630640 3086457120 3154883292 3263606016 3286659744 3292220928 3377955848 3395102832 3410684640 3416455680 3505425880 3638063616 3651844160 3670381440 3765964290 3772336480 3800200329 3824100960 3943604115 4017028576 4079041024 4079507520 4108324680 4115276160 4206511056 4222444810 4243878540 4382212992 4450371840 4519157148 4526803776 4547579520 4588921152 4644689291 4893841920 4895409024 4938331392 4960995840 5021285720 5066933772 5098801280 5124683520 5258138820 5439343360 5457095424 5477766240 5487034880 5608681408 5648946435 5658504720 5736151440 5842950656 6025542864 6035738368 6063439360 6118561536 6119261280 6172914240 6309766584 6333667215 6527212032 6573319488 6755911696 6790205664 6821369280 7010851760 7303688320 7340762880 7531928580 7544672960 7600400658 7648201920 7887208230 8034057152 8159015040 8216649360 8230552320 8413022112 8444889620 8487757080 8764425984 8900743680 9038314296 9053607552 9095159040 9177842304 9289378582 9790818048 9876662784 10042571440 10133867544 10197602560 10249367040 10516277640 10878686720 10914190848 10955532480 11217362816 11297892870 11317009440 11472302880 12051085728 12071476736 12237123072 12238522560 12345828480 12619533168 12667334430 13146638976 13511823392 13580411328 13642738560 13934067873 14021703520 14607376640 14681525760 15063857160 15089345920 15200801316 15296403840 15774416460 16068114304 16318030080 16433298720 16461104640 16826044224 16889779240 16975514160 17528851968 18076628592 18107215104 18190318080 18355684608 18578757164 19001001645 19581636096 20085142880 20267735088 20395205120 21032555280 21911064960 22434725632 22595785740 22634018880 22944605760 23223446455 24102171456 24477045120 24691656960 25239066336 25334668860 26293277952 27023646784 27160822656 27285477120 27868135746 28043407040 29214753280 30127714320 30178691840 30401602632 30592807680 31548832920 32136228608 32636060160 32866597440 33652088448 33779558480 33951028320 36153257184 36214430208 36711369216 37157514328 38002003290 40170285760 40535470176 41802203619 42065110560 43822129920 44869451264 45191571480 45268037760 45889211520 46446892910 48204342912 48954090240 49383313920 50478132672 50669337720 52586555904 54047293568 54321645312 54570954240 55736271492 56086814080 60255428640 60357383680 60803205264 61185615360 63097665840 64272457216 65733194880 67304176896 67559116960 67902056640 69670339365 72306514368 74315028656 76004006580 80340571520 81070940352 83604407238 84130221120 87644259840 90383142960 90536075520 91778423040 92893785820 96408685824 97908180480 100956265344 101338675440 108094587136 108643290624 111472542984 112173628160 120510857280 121606410528 126195331680 131466389760 134608353792 135118233920 135804113280 139340678730 144613028736 148630057312 152008013160 160681143040 162141880704 167208814476 168260442240 180766285920 181072151040 183556846080 185787571640 192817371648 201912530688 202677350880 209011018095 216189174272 222945085968 224347256320 241021714560 243212821056 252390663360 262932779520 270236467840 271608226560 278681357460 289226057472 297260114624 304016026320 321362286080 324283761408 334417628952 336520884480 361532571840 371575143280 403825061376 405354701760 418022036190 445890171936 482043429120 486425642112 504781326720 540472935680 543216453120 557362714920 578452114944 594520229248 608032052640 648567522816 668835257904 673041768960 723065143680 743150286560 810709403520 836044072380 891780343872 964086858240 972851284224 1009562653440 1080945871360 1114725429840 1189040458496 1216064105280 1337670515808 1446130287360 1486300573120 1621418807040 1672088144760 1783560687744 1945702568448 2019125306880 2229450859680 2378080916992 2432128210560 2675341031616 2892260574720 2972601146240 3242837614080 3344176289520 3567121375488 4458901719360 4864256421120 5350682063232 5945202292480 6688352579040 7134242750976 8917803438720 9728512842240 10701364126464 11890404584960 13376705158080 17835606877440 21402728252928 26753410316160 35671213754880 53506820632320 107013641264640
- Sum of all divisors σ(n): 425609537139072
- Sum of proper divisors (its aliquot sum) s(n): 318595895874432
- 107013641264640 is an abundant number, because the sum of its proper divisors (318595895874432) is greater than itself. Its abundance is 211582254609792
Bases of 107013641264640
- Binary: 110000101010100000011100001001011011110000000002
- Hexadecimal: 0x61540E12DE00
- Base-36: 11XLDYZY80
Squares and roots of 107013641264640
- 107013641264640 squared (1070136412646402) is 11451919416717060978514329600
- 107013641264640 cubed (1070136412646403) is 1225511596252124916569844198524105785344000
-
The
square root of 107013641264640 is 10344739.7871884627 -
The
cube root of 107013641264640 is 47476.6113870445
Scales and comparisons
How big is 107013641264640?- 107,013,641,264,640 seconds is equal to 3,402,702 years, 40 weeks, 2 days, 22 hours, 24 minutes.
-
To count from 1 to 107,013,641,264,640 would take you about eight million, five hundred six thousand, seven hundred fifty-six 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 107013641264640 cubic inches would be around 3956.4 feet tall.
Recreational maths with 107013641264640
- 107013641264640 backwards is 046462146310701
- 107013641264640 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 107013641264640's digits is 45
- More coming soon!
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"Number 107013641264640 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 107013641264640 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/107013641264640/
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The information we have on file for 107013641264640 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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