137870152813393325780
137,870,152,813,393,325,780 is an even composite number composed of five prime numbers multiplied together.
137870152813393325780 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred seventy divisors.
Prime factorization of 137870152813393325780:
22 × 5 × 74 × 136 × 296
(2 × 2 × 5 × 7 × 7 × 7 × 7 × 13 × 13 × 13 × 13 × 13 × 13 × 29 × 29 × 29 × 29 × 29 × 29)See below for interesting mathematical facts about the number 137870152813393325780 from the Numbermatics database.
Names of 137870152813393325780
- Cardinal: 137870152813393325780 can be written as One hundred thirty-seven quintillion, eight hundred seventy quadrillion, one hundred fifty-two trillion, eight hundred thirteen billion, three hundred ninety-three million, three hundred twenty-five thousand, seven hundred eighty.
Scientific notation
- Scientific notation: 1.3787015281339332578 × 1020
Factors of 137870152813393325780
Divisors of 137870152813393325780
- Number of divisors d(n): 1470
-
Complete list of divisors:
1 2 4 5 7 10 13 14 20 26 28 29 35 49 52 58 65 70 91 98 116 130 140 145 169 182 196 203 245 260 290 338 343 364 377 406 455 490 580 637 676 686 754 812 841 845 910 980 1015 1183 1274 1372 1421 1508 1682 1690 1715 1820 1885 2030 2197 2366 2401 2548 2639 2842 3185 3364 3380 3430 3770 4060 4205 4394 4459 4732 4802 4901 5278 5684 5887 5915 6370 6860 7105 7540 8281 8410 8788 8918 9604 9802 9947 10556 10933 10985 11774 11830 12005 12740 13195 14210 15379 16562 16820 17836 18473 19604 19894 21866 21970 22295 23548 23660 24010 24389 24505 26390 28420 28561 29435 30758 31213 33124 34307 36946 39788 41209 41405 43732 43940 44590 48020 48778 49010 49735 52780 54665 57122 57967 58870 61516 62426 63713 68614 69629 73892 76531 76895 82418 82810 89180 92365 97556 98020 99470 107653 109330 114244 115934 117740 121945 124852 127426 129311 137228 139258 142129 142805 153062 153790 156065 164836 165620 170723 171535 184730 198940 199927 206045 215306 218660 231868 240149 243890 254852 258622 278516 284258 285610 288463 289835 306124 307580 312130 317057 318565 341446 343070 348145 369460 371293 382655 399854 405769 412090 430612 445991 480298 487780 517244 535717 538265 568516 571220 576926 579670 624260 634114 637130 646555 682892 686140 696290 707281 710645 742586 753571 765310 799708 811538 824180 828269 853615 891982 905177 960596 994903 999635 1071434 1076530 1153852 1159340 1195061 1200745 1268228 1274260 1293110 1392580 1399489 1414562 1421290 1442315 1485172 1507142 1530620 1585285 1623076 1656538 1681043 1707230 1783964 1810354 1847677 1856465 1989806 1999270 2019241 2028845 2142868 2153060 2219399 2229955 2390122 2401490 2586220 2599051 2678585 2798978 2829124 2842580 2884630 3014284 3121937 3170570 3313076 3362086 3414460 3536405 3620708 3695354 3712930 3750019 3767855 3979612 3998540 4038482 4057690 4121741 4141345 4438798 4459910 4525885 4780244 4802980 4826809 4950967 4974515 5198102 5274997 5357170 5597956 5769260 5797883 5975305 6243874 6341140 6724172 6964321 6997445 7072810 7390708 7425860 7500038 7535710 8076964 8115380 8243482 8282690 8365427 8405215 8877596 8919820 9051770 9194653 9238385 9653618 9796423 9901934 9949030 10096205 10396204 10549994 10714340 10767497 11096995 11595766 11767301 11950610 12487748 12933739 12995255 13928642 13994890 14145620 15000076 15071420 15535793 15609685 16486964 16565380 16730854 16810430 18103540 18193357 18389306 18476770 18750095 19307236 19592846 19803868 19898060 20192410 20511149 20608705 21099988 21534994 21853559 22193990 23191532 23534602 23901220 24019801 24134045 24754835 25867478 25990510 26250133 26374985 27857284 27989780 28852187 28989415 31071586 31219370 33461708 33620860 33787663 34656769 34821605 36386714 36778612 36953540 37500190 39185692 40384820 40585181 41022298 41217410 41827135 43069988 43707118 44387980 45973265 47069204 48039602 48268090 48750247 48982115 49509670 51734956 51981020 52500266 52749970 53582633 53837485 57704374 57978830 58557989 58836505 62143172 62438740 64362571 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435002204 437071180 450537997 452680865 473027282 478121956 480396020 485194766 487502470 509413996 525002660 527607353 533289874 535826330 543752755 559909844 568192534 574312172 577043740 585579890 594823321 597652445 611899652 624514826 633753211 636767495 643625710 672554428 675753260 682503458 685749610 693135380 696574229 699887305 717890215 750156862 753724790 761253857 764874565 807861236 811703620 836713423 840693035 891474493 901075994 905361730 946054564 970389532 975004940 979842227 1005046301 1009826545 1055214706 1066579748 1071652660 1087505510 1136385068 1171159780 1176970249 1182568205 1189646642 1195304890 1212986915 1249029652 1267506422 1273534990 1287251420 1333224685 1365006916 1371499220 1393148458 1399774610 1413757163 1420481335 1435780430 1500313724 1507449580 1522507714 1529749130 1553896357 1561287065 1655595487 1673426846 1681386070 1698181681 1706258645 1782948986 1802151988 1810723460 1866514559 1875392155 1959684454 1988673869 2010092602 2019653090 2110429412 2175011020 2185801891 2252689985 2353940498 2365136410 2379293284 2390609780 2425973830 2535012844 2547069980 2625549017 2638036765 2666449370 2786296916 2799549220 2827514326 2840962670 2871560860 2974116605 3045015428 3059498260 3107792714 3122574130 3153765979 3168766055 3311190974 3346853692 3362772140 3396363362 3412517290 3466384181 3482871145 3565897972 3693251471 3733029118 3750784310 3806269285 3919368908 3977347738 4020185204 4039306180 4059346369 4163763247 4183567115 4371603782 4436272477 4457372465 4505379970 4707880996 4730272820 4851947660 4876019603 4899211135 5025231505 5251098034 5276073530 5332898740 5655028652 5681925340 5856993961 5884851245 5948233210 6215585428 6245148260 6307531958 6337532110 6622381948 6792726724 6825034580 6858895589 6932768362 6965742290 7035324107 7068785815 7386502942 7466058236 7501568620 7612538570 7732703173 7769481785 7954695476 8118692738 8238791743 8277977435 8327526494 8367134230 8490908405 8743207564 8872544954 8914744930 9010759940 9055464977 9332572795 9752039206 9798422270 9896300141 9943369345 10050463010 10502196068 10552147060 10877274499 10929009455 11589168409 11713987922 11769702490 11896466420 12615063916 12675064220 13065601913 13127745085 13717791178 13865536724 13931484580 14070648214 14137571630 14773005884 15225077140 15300613237 15465406346 15538963570 15768829895 16237385476 16477583486 16555954870 16655052988 16734268460 16981816810 17331920905 17745089908 17829489860 18110929954 18378843119 18466257355 18665145590 19504078412 19596844540 19792600282 19886738690 20100926020 20200652641 20296731845 20818816235 21754548998 21858018910 22076361853 22181362385 23178336818 23427975844 23539404980 24264689267 24380098015 25852760297 26131203826 26255490170 27435582356 28141296428 28275143260 28415424583 29146342729 29284969805 30601226474 30930812692 31077927140 31537659790 32955166972 33111909740 33963633620 34132137221 34294477945 34663841810 35176620535 36221859908 36757686238 36932514710 37330291180 38663515865 39585200564 39773477380 40401305282 40593463690 40998957727 41193958715 41637632470 43509097996 43716037820 44152723706 44362724770 45062994353 45277324885 46356673636 48012269123 48529378534 48760196030 49247268749 49481500705 51705520594 52262407652 52510980340 54128922211 54386372495 56830849166 57671542201 57945842045 58292685458 58569939610 61202452948 63075319580 63388254839 65328009565 68264274442 68588955890 69327683620 70353241070 73515372476 73865029420 76140921493 76503066185 77327031730 80802610564 81186927380 81997915454 82387917430 83275264940 88305447412 88725449540 90125988706 90554649770 91459213391 91894215595 96024538246 97058757068 97520392060 98494537498 98963001410 100525141249 101003263205 103411041188 107104292659 108257844422 108772744990 110381809265 113661698332 115343084402 115891684090 116585370916 117139879220 117721044701 121323446335 126776509678 128651901833 129263801485 130656019130 136528548884 137177911780 140706482140 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965443456555396 970035339820820 990033985935410 1004679459100135 1066190446391980 1081962494415530 1104268676620265 1130592913308404 1170971231640847 1189212420975670 1206804320694245 1261045941767066 1280690299512260 1386047580309574 1406551242740189 1413241141635505 1492666624948772 1545976147268371 1664897389365938 1672816045201210 1792966419317164 1801494202524380 1865833281185965 1980067971870820 2009358918200270 2163924988831060 2208537353240530 2241208024146455 2341942463281694 2378424841951340 2413608641388490 2522091883534132 2612166593660351 2772095160619148 2813102485480378 2826482283271010 2871098559212689 3091952294536742 3137691233805037 3152614854417665 3329794778731876 3345632090402420 3465118950773935 3731666562371930 4018717836400540 4162243473414845 4417074706481060 4482416048292910 4683884926563388 4827217282776980 4851166531083509 5224333187320702 5626204970960756 5652964566542020 5742197118425378 5827140862780783 5854856158204235 6183904589073484 6275382467610074 6305229708835330 6930237901547870 7032756213700945 7463333124743860 7729880736341855 8196798621485929 8324486946829690 8964832096585820 9702333062167018 10448666374641404 10821833030878597 11484394236850756 11654281725561566 11709712316408470 12550764935220148 12610459417670660 13060832968301755 13860475803095740 14065512427401890 14355492796063445 15459761472683710 15688456169025185 16393597242971858 16648973893659380 18285166155622457 19404666124334036 20097689914488823 21643666061757194 23308563451123132 23419424632816940 24255832655417545 26121665936603510 28131024854803780 28710985592126890 29135704313903915 30919522945367420 31376912338050370 32787194485943716 33958165717584563 36570332311244914 40195379828977646 40789986039465481 40983993107429645 43287332123514388 48511665310835090 52243331873207020 54109165154392985 57421971184253780 58271408627807830 62753824676100740 67916331435169126 73140664622489828 75752831216150179 80390759657955292 81579972078930962 81967986214859290 91425830778112285 97023330621670180 100488449572444115 108218330308785970 116542817255615660 135832662870338252 140683829401421761 151505662432300358 163159944157861924 163935972429718580 169790828587922815 182851661556224570 200976899144888230 203949930197327405 216436660617571940 237707160023091941 281367658802843522 303011324864600716 339581657175845630 365703323112449140 378764156080750895 401953798289776460 407899860394654810 475414320046183882 530269818513051253 562735317605687044 679163314351691260 703419147007108805 757528312161501790 815799720789309620 950828640092367764 984786805809952327 1060539637026102506 1188535800115459705 1406838294014217610 1515056624323003580 1969573611619904654 2121079274052205012 2377071600230919410 2651349092565256265 2813676588028435220 3939147223239809308 4754143200461838820 4923934029049761635 5302698185130512530 6893507640669666289 9847868058099523270 10605396370261025060 13787015281339332578 19695736116199046540 27574030562678665156 34467538203348331445 68935076406696662890 137870152813393325780
- Sum of all divisors σ(n): 378976749346134444666
- Sum of proper divisors (its aliquot sum) s(n): 241106596532741118886
- 137870152813393325780 is an abundant number, because the sum of its proper divisors (241106596532741118886) is greater than itself. Its abundance is 103236443719347793106
Bases of 137870152813393325780
- Binary: 11101111001010101010010110110000100001100110010000110101110110101002
- Hexadecimal: 0x779552D843321AED4
- Base-36: T3H0QATNOYH1W
Squares and roots of 137870152813393325780
- 137870152813393325780 squared (1378701528133933257802) is 19008179036788427583756939543449212608400
- 137870152813393325780 cubed (1378701528133933257803) is 2620660548506360066568578068478900109000974332868784764552000
-
The
square root of 137870152813393325780 is 11741812160.5395019103 -
The
cube root of 137870152813393325780 is 5166027.9594139689 - Being both a perfect square and a perfect cube, 137870152813393325780 is also a
perfect sixth number .
Scales and comparisons
How big is 137870152813393325780?- 137,870,152,813,393,325,780 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,870,152,813,393,325,780 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 137870152813393325780 cubic inches would be around 430502.3 feet tall.
Recreational maths with 137870152813393325780
- 137870152813393325780 backwards is 087523393318251078731
- The number of decimal digits it has is: 21
- The sum of 137870152813393325780's digits is 86
- More coming soon!
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"Number 137870152813393325780 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
APA style:
Numbermatics. (2024). Number 137870152813393325780 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/137870152813393325780/
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Numbermatics. 2024. "Number 137870152813393325780 - Facts about the integer". https://numbermatics.com/n/137870152813393325780/
The information we have on file for 137870152813393325780 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 137870152813393325780, math, Factors of 137870152813393325780, curriculum, school, college, exams, university, Prime factorization of 137870152813393325780, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quintillion, eight hundred seventy quadrillion, one hundred fifty-two trillion, eight hundred thirteen billion, three hundred ninety-three million, three hundred twenty-five thousand, seven hundred eighty.