72713629721638010880
72,713,629,721,638,010,880 is an even composite number composed of six prime numbers multiplied together.
What does the number 72713629721638010880 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 816 divisors.
72713629721638010880 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixteen divisors.
Prime factorization of 72713629721638010880:
216 × 32 × 5 × 31 × 37 × 21496114267
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 31 × 37 × 21496114267)See below for interesting mathematical facts about the number 72713629721638010880 from the Numbermatics database.
Names of 72713629721638010880
- Cardinal: 72713629721638010880 can be written as Seventy-two quintillion, seven hundred thirteen quadrillion, six hundred twenty-nine trillion, seven hundred twenty-one billion, six hundred thirty-eight million, ten thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 7.271362972163801088 × 1019
Factors of 72713629721638010880
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 22
- Sum of prime factors: 21496114345
Divisors of 72713629721638010880
- Number of divisors d(n): 816
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 37 40 45 48 60 62 64 72 74 80 90 93 96 111 120 124 128 144 148 155 160 180 185 186 192 222 240 248 256 279 288 296 310 320 333 360 370 372 384 444 465 480 496 512 555 558 576 592 620 640 666 720 740 744 768 888 930 960 992 1024 1110 1116 1147 1152 1184 1240 1280 1332 1395 1440 1480 1488 1536 1665 1776 1860 1920 1984 2048 2220 2232 2294 2304 2368 2480 2560 2664 2790 2880 2960 2976 3072 3330 3441 3552 3720 3840 3968 4096 4440 4464 4588 4608 4736 4960 5120 5328 5580 5735 5760 5920 5952 6144 6660 6882 7104 7440 7680 7936 8192 8880 8928 9176 9216 9472 9920 10240 10323 10656 11160 11470 11520 11840 11904 12288 13320 13764 14208 14880 15360 15872 16384 17205 17760 17856 18352 18432 18944 19840 20480 20646 21312 22320 22940 23040 23680 23808 24576 26640 27528 28416 29760 30720 31744 32768 34410 35520 35712 36704 36864 37888 39680 40960 41292 42624 44640 45880 46080 47360 47616 49152 51615 53280 55056 56832 59520 61440 63488 65536 68820 71040 71424 73408 73728 75776 79360 81920 82584 85248 89280 91760 92160 94720 95232 98304 103230 106560 110112 113664 119040 122880 126976 137640 142080 142848 146816 147456 151552 158720 163840 165168 170496 178560 183520 184320 189440 190464 196608 206460 213120 220224 227328 238080 245760 253952 275280 284160 285696 293632 294912 303104 317440 327680 330336 340992 357120 367040 368640 378880 380928 412920 426240 440448 454656 476160 491520 507904 550560 568320 571392 587264 589824 606208 634880 660672 681984 714240 734080 737280 757760 761856 825840 852480 880896 909312 952320 983040 1015808 1101120 1136640 1142784 1174528 1212416 1269760 1321344 1363968 1428480 1468160 1474560 1515520 1523712 1651680 1704960 1761792 1818624 1904640 2031616 2202240 2273280 2285568 2349056 2424832 2539520 2642688 2727936 2856960 2936320 2949120 3031040 3047424 3303360 3409920 3523584 3637248 3809280 4404480 4546560 4571136 4698112 5079040 5285376 5455872 5713920 5872640 6062080 6094848 6606720 6819840 7047168 7274496 7618560 8808960 9093120 9142272 9396224 10158080 10570752 10911744 11427840 11745280 12124160 13213440 13639680 14094336 15237120 17617920 18186240 18284544 18792448 21141504 21823488 22855680 23490560 26426880 27279360 28188672 30474240 35235840 36372480 37584896 42283008 45711360 46981120 52853760 54558720 56377344 70471680 75169792 84566016 91422720 93962240 105707520 109117440 112754688 140943360 169132032 187924480 211415040 225509376 281886720 338264064 375848960 422830080 563773440 676528128 845660160 1127546880 1691320320 3382640640 21496114267 42992228534 64488342801 85984457068 107480571335 128976685602 171968914136 193465028403 214961142670 257953371204 322441714005 343937828272 386930056806 429922285340 515906742408 644883428010 666379542277 687875656544 773860113612 795356227879 859844570680 967325142015 1031813484816 1289766856020 1332759084554 1375751313088 1547720227224 1590712455758 1719689141360 1934650284030 1999138626831 2063626969632 2386068683637 2579533712040 2665518169108 2751502626176 3095440454448 3181424911516 3331897711385 3439378282720 3869300568060 3976781139395 3998277253662 4127253939264 4772137367274 5159067424080 5331036338216 5503005252352 5997415880493 6190880908896 6362849823032 6663795422770 6878756565440 7158206050911 7738601136120 7953562278790 7996554507324 8254507878528 9544274734548 9995693134155 10318134848160 10662072676432 11006010504704 11930343418185 11994831760986 12381761817792 12725699646064 13327590845540 13757513130880 14316412101822 15477202272240 15907124557580 15993109014648 16509015757056 19088549469096 19991386268310 20636269696320 21324145352864 22012021009408 23860686836370 23989663521972 24656043064249 24763523635584 25451399292128 26655181691080 27515026261760 28632824203644 29987079402465 30954404544480 31814249115160 31986218029296 33018031514112 35791030254555 38177098938192 39982772536620 41272539392640 42648290705728 44024042018816 47721373672740 47979327043944 49312086128498 49527047271168 50902798584256 53310363382160 55030052523520 57265648407288 59974158804930 61908809088960 63628498230320 63972436058592 66036063028224 71582060509110 73968129192747 76354197876384 79965545073240 82545078785280 85296581411456 88048084037632 95442747345480 95958654087888 98624172256996 99054094542336 101805597168512 106620726764320 110060105047040 114531296814576 119948317609860 123280215321245 123817618177920 127256996460640 127944872117184 132072126056448 143164121018220 147936258385494 152708395752768 159931090146480 165090157570560 170593162822912 176096168075264 190885494690960 191917308175776 197248344513992 198108189084672 203611194337024 213241453528640 220120210094080 221904387578241 229062593629152 239896635219720 246560430642490 247635236355840 254513992921280 255889744234368 264144252112896 286328242036440 295872516770988 305416791505536 319862180292960 330180315141120 341186325645824 352192336150528 369840645963735 381770989381920 383834616351552 394496689027984 396216378169344 407222388674048 426482907057280 440240420188160 443808775156482 458125187258304 479793270439440 493120861284980 495270472711680 509027985842560 511779488468736 528288504225792 572656484072880 591745033541976 610833583011072 639724360585920 660360630282240 682372651291648 704384672301056 739681291927470 763541978763840 767669232703104 788993378055968 792432756338688 814444777348096 852965814114560 880480840376320 887617550312964 916250374516608 959586540878880 986241722569960 990540945423360 1018055971685120 1023558976937472 1056577008451584 1109521937891205 1145312968145760 1183490067083952 1221667166022144 1279448721171840 1320721260564480 1364745302583296 1408769344602112 1479362583854940 1527083957527680 1535338465406208 1577986756111936 1584865512677376 1628889554696192 1705931628229120 1760961680752640 1775235100625928 1832500749033216 1919173081757760 1972483445139920 1981081890846720 2036111943370240 2047117953874944 2113154016903168 2219043875782410 2290625936291520 2366980134167904 2443334332044288 2558897442343680 2641442521128960 2729490605166592 2958725167709880 3054167915055360 3070676930812416 3155973512223872 3169731025354752 3257779109392384 3411863256458240 3521923361505280 3550470201251856 3665001498066432 3838346163515520 3944966890279840 3962163781693440 4072223886740480 4094235907749888 4226308033806336 4438087751564820 4581251872583040 4733960268335808 4886668664088576 5117794884687360 5282885042257920 5458981210333184 5917450335419760 6108335830110720 6141353861624832 6311947024447744 6339462050709504 6515558218784768 6823726512916480 7043846723010560 7100940402503712 7330002996132864 7676692327031040 7889933780559680 7924327563386880 8144447773480960 8188471815499776 8876175503129640 9162503745166080 9467920536671616 9773337328177152 10235589769374720 10565770084515840 10917962420666368 11834900670839520 12216671660221440 12282707723249664 12623894048895488 12678924101419008 13031116437569536 13647453025832960 14201880805007424 14660005992265728 15353384654062080 15779867561119360 15848655126773760 16288895546961920 16376943630999552 17752351006259280 18325007490332160 18935841073343232 19546674656354304 20471179538749440 21131540169031680 21835924841332736 23669801341679040 24433343320442880 24565415446499328 25247788097790976 26062232875139072 27294906051665920 28403761610014848 29320011984531456 30706769308124160 31559735122238720 31697310253547520 32577791093923840 32753887261999104 35504702012518560 36650014980664320 37871682146686464 39093349312708608 40942359077498880 43671849682665472 47339602683358080 48866686640885760 49130830892998656 50495576195581952 52124465750278144 54589812103331840 56807523220029696 58640023969062912 61413538616248320 63119470244477440 63394620507095040 65155582187847680 65507774523998208 71009404025037120 73300029961328640 75743364293372928 78186698625417216 81884718154997760 94679205366716160 97733373281771520 98261661785997312 100991152391163904 109179624206663680 113615046440059392 117280047938125824 122827077232496640 126238940488954880 130311164375695360 131015549047996416 142018808050074240 146600059922657280 151486728586745856 156373397250834432 163769436309995520 189358410733432320 195466746563543040 196523323571994624 201982304782327808 218359248413327360 227230092880118784 234560095876251648 245654154464993280 252477880977909760 260622328751390720 284037616100148480 293200119845314560 302973457173491712 327538872619991040 378716821466864640 390933493127086080 393046647143989248 403964609564655616 454460185760237568 469120191752503296 491308308929986560 504955761955819520 568075232200296960 586400239690629120 605946914346983424 655077745239982080 757433642933729280 781866986254172160 807929219129311232 908920371520475136 982616617859973120 1009911523911639040 1136150464400593920 1172800479381258240 1211893828693966848 1514867285867458560 1615858438258622464 1817840743040950272 1965233235719946240 2019823047823278080 2272300928801187840 2345600958762516480 2423787657387933696 3029734571734917120 3635681486081900544 4039646095646556160 4544601857602375680 4847575314775867392 6059469143469834240 7271362972163801088 8079292191293112320 9089203715204751360 12118938286939668480 14542725944327602176 18178407430409502720 24237876573879336960 36356814860819005440 72713629721638010880
- Sum of all divisors σ(n): 267235870742628063744
- Sum of proper divisors (its aliquot sum) s(n): 194522241020990052864
- 72713629721638010880 is an abundant number, because the sum of its proper divisors (194522241020990052864) is greater than itself. Its abundance is 121808611299352041984
Bases of 72713629721638010880
- Binary: 1111110001000110101011010011111010011111111000010100000000000000002
- Hexadecimal: 0x3F11AB4FA7F850000
- Base-36: FCFZIIG4B1FK0
Squares and roots of 72713629721638010880
- 72713629721638010880 squared (727136297216380108802) is 5287271947295478711613985786842998374400
- 72713629721638010880 cubed (727136297216380108803) is 384456734613247403441630806782276722649697719357089513472000
-
The
square root of 72713629721638010880 is 8527228724.5996873683 -
The
cube root of 72713629721638010880 is 4173867.0184500225
Scales and comparisons
How big is 72713629721638010880?- 72,713,629,721,638,010,880 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 72,713,629,721,638,010,880 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 72713629721638010880 cubic inches would be around 347822.3 feet tall.
Recreational maths with 72713629721638010880
- 72713629721638010880 backwards is 08801083612792631727
- The number of decimal digits it has is: 20
- The sum of 72713629721638010880's digits is 81
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 72713629721638010880 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
APA style:
Numbermatics. (2024). Number 72713629721638010880 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/72713629721638010880/
Chicago style:
Numbermatics. 2024. "Number 72713629721638010880 - Facts about the integer". https://numbermatics.com/n/72713629721638010880/
The information we have on file for 72713629721638010880 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!
Keywords: Divisors of 72713629721638010880, math, Factors of 72713629721638010880, curriculum, school, college, exams, university, Prime factorization of 72713629721638010880, STEM, science, technology, engineering, physics, economics, calculator, seventy-two quintillion, seven hundred thirteen quadrillion, six hundred twenty-nine trillion, seven hundred twenty-one billion, six hundred thirty-eight million, ten thousand, eight hundred eighty.