107242938264373275
107,242,938,264,373,275 is an odd composite number composed of six prime numbers multiplied together.
107242938264373275 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 107242938264373275:
3 × 52 × 73 × 132 × 413 × 713
(3 × 5 × 5 × 7 × 7 × 7 × 13 × 13 × 41 × 41 × 41 × 71 × 71 × 71)See below for interesting mathematical facts about the number 107242938264373275 from the Numbermatics database.
Names of 107242938264373275
- Cardinal: 107242938264373275 can be written as One hundred seven quadrillion, two hundred forty-two trillion, nine hundred thirty-eight billion, two hundred sixty-four million, three hundred seventy-three thousand, two hundred seventy-five.
Scientific notation
- Scientific notation: 1.07242938264373275 × 1017
Factors of 107242938264373275
Divisors of 107242938264373275
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 3 5 7 13 15 21 25 35 39 41 49 65 71 75 91 105 123 147 169 175 195 205 213 245 273 287 325 343 355 455 497 507 525 533 615 637 735 845 861 923 975 1025 1029 1065 1183 1225 1365 1435 1491 1599 1681 1715 1775 1911 2009 2275 2485 2535 2665 2769 2911 3075 3185 3479 3549 3675 3731 4225 4305 4459 4615 5041 5043 5145 5325 5915 6027 6461 6825 6929 7175 7455 7995 8281 8405 8575 8733 9555 10045 10437 11193 11767 11999 12425 12675 13325 13377 13845 14063 14555 15123 15925 17395 17745 18655 19383 20377 20787 21525 21853 22295 23075 24353 24843 25205 25215 25725 26117 29575 30135 32305 34645 35287 35301 35997 37275 37843 39975 41405 42025 42189 43665 45227 47775 48503 50225 52185 55965 57967 58835 59995 61131 65533 65559 66885 68921 69225 70315 72775 73059 75615 78351 82369 83993 86975 88725 93275 96915 101885 103935 105861 109265 111475 113529 119351 121765 124215 126025 126075 130585 135681 142639 145509 150675 152971 161525 173225 173901 176435 176505 179985 182819 189215 196599 206681 206763 207025 210945 218325 226135 242515 247009 247107 251979 260925 264901 279825 284089 289835 294175 299975 305655 316589 327665 327795 334425 339521 344605 351575 357911 358053 365295 378075 391755 411845 419965 427917 458731 458913 482447 484575 491959 509425 519675 529305 546325 548457 567645 576583 587951 596755 608825 620043 621075 652925 678405 713195 727545 741027 764855 794703 835457 851929 852267 869505 882175 882525 895973 899925 914095 946075 949767 982995 998473 1018563 1033405 1033815 1054725 1070797 1073733 1130675 1212575 1235045 1235535 1259895 1324505 1376193 1420445 1446767 1447341 1449175 1475877 1528275 1551563 1582945 1638325 1638975 1697605 1723025 1729063 1729749 1763853 1789555 1790265 1826475 1854307 1958775 1988623 2059225 2099825 2139585 2293655 2294565 2376647 2412235 2459795 2505377 2506371 2555787 2646525 2686853 2687919 2742285 2838225 2882915 2939755 2983775 2995419 3100215 3211117 3212391 3377129 3392025 3443713 3565975 3637725 3705135 3824275 3973515 4115657 4177285 4259645 4261335 4340301 4347525 4479865 4570475 4652843 4654689 4748835 4893391 4914975 4992365 5092815 5167025 5169075 5187189 5353985 5368665 5562921 5848199 5963503 5965869 6175225 6177675 6271811 6299475 6622525 6880965 7102225 7129941 7233835 7236705 7379385 7495579 7516131 7757815 7914725 8060559 8473921 8488025 8645315 8648745 8819265 8947775 8951325 9271535 9633351 9943115 10127369 10131387 10331139 10697925 10860941 11468275 11472825 11647649 11883235 12061175 12298975 12346971 12526885 12531855 12778935 12980149 13434265 13439595 13711425 13920361 13958529 14414575 14674351 14680173 14698775 14977095 15501075 16055585 16061955 16885645 17218565 17537639 17544597 17890509 18525675 18807971 18815433 19867575 20170319 20578285 20886425 21298225 21306675 21701505 22399325 22477819 22486737 23264215 23273445 23639903 23744175 24105991 24466955 24961825 25421763 25464075 25935945 26769925 26843325 27814605 29240995 29817515 29829345 30382107 31359055 32569901 32582823 34253737 34404825 34929089 34942947 35649705 36169175 36183525 36896925 37477895 37580655 38789075 38940447 40302795 40937393 41744521 41761083 42369605 43226575 43243725 43902677 44023053 44096325 46357675 48166755 49715575 50636845 50656935 51655695 52612917 54304705 56423913 58238245 59317447 59416175 60486959 60510957 61734855 62634425 62659275 63614083 63894675 64900745 67171325 67197975 67433457 69601805 69792645 70891583 70919709 72317973 73371755 73400865 74885475 76026587 80277925 80309775 81533543 84428225 86092825 87688195 87722985 89452545 94039855 94077165 97442527 97709703 100851595 102720457 102761211 102891425 104787267 108507525 110160973 112389095 112433685 116321075 116367225 118199515 120529955 122334775 122763473 122812179 125233563 127108815 129679725 131655797 131708031 139073025 141192233 146204975 149087575 149146725 151910535 156795275 162849505 162914115 168741937 171268685 174645445 174714735 177952341 178248525 181460877 187389475 187903275 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973511175 988345631 1023434825 1042292283 1043613025 1044027075 1063373745 1097566925 1100576325 1139946535 1140398805 1198880795 1222518115 1223003145 1245666387 1270226139 1315322925 1335365941 1335895743 1410597825 1432092649 1461058235 1461637905 1482936175 1512173975 1512773925 1536593695 1540806855 1590352075 1595925149 1596558327 1652414595 1678433113 1685836425 1711525361 1712204403 1737153805 1772289575 1772992725 1804945173 1807949325 1841452095 1900664675 1974836955 2038338575 2076110645 2117043565 2117883495 2157129597 2226492905 2313380433 2432015327 2436063175 2442742575 2479965319 2480949237 2531129055 2568011425 2569030275 2619681675 2660930545 2754024325 2764771737 2853674005 2861498445 2906554903 2963860991 2965036893 3008241955 3069086825 3070304475 3117090067 3130839075 3291394925 3292700775 3419839605 3529805825 3595215995 3596642385 3667554345 3855634055 3995143607 4006097823 4134915395 4211538737 4218548425 4296277947 4383174705 4448808525 4516599893 4536521925 4607952895 4609781085 4769164075 4771056225 4787775447 4941728155 5033302393 5035299339 5134576083 5211461415 5316868725 5397887677 5699732675 5701994025 5788881553 5994403975 6112590575 6115015725 6228331935 6351130695 6676829705 6679478715 6918419417 7160463245 7296045981 7305291175 7308189525 7439895957 7682968475 7704034275 7821429083 7979625745 7982791635 8262072975 8392165565 8557626805 8561022015 8685769025 8719664709 8891582973 9024725865 9207260475 9347561587 9351270201 9874184775 10024648543 10380553225 10585217825 10589417475 10785647985 11132464525 11566902165 11980677527 11985430821 12160076635 12399826595 12404746185 12634616211 12655645275 13304652725 13549799679 13823858685 14268370025 14307492225 14532774515 14819304955 14825184465 15041209775 15099907179 15585450335 16193663031 17024107289 17099198025 17359757233 17366644659 17976079975 17983211925 18337771725 19278170275 19975718035 20030489115 20674576975 20747026937 20755258251 21057693685 21481389735 21819630469 21915873525 22582999465 23039764475 23048905425 23464287249 23938877235 24667584031 24708640775 25166511965 25176496695 25672880415 26057307075 26989438385 28042684761 28944407765 29480771159 30073945629 31141659675 31616199251 31755653475 33384148525 33397393575 34592097085 35802316225 35942032581 36480229905 37199479785 37785213739 39107145415 39898128725 39913958175 40522170871 41960827825 42788134025 42805110075 43598323545 44457914865 45123629325 46737807935 46756351005 50123242715 51072321867 52079271699 53928239925 54750003581 57834510825 58715798609 59903387635 59927154105 60800383175 61999132975 62023730925 62241080811 63173081055 65432931109 65458891407 67748998395 69119293425 70172539801 72663872575 74002752093 74096524775 74125922325 75499535895 77927251675 80968315155 85120536445 86798786165 86833223295 88442313477 94848597753 99878590175 100152445575 101678578079 103735134685 103776291255 105288468425 107406948675 109098152345 112914997325 113355641217 117321436245 119168751023 119694386175 121518300631 121566512613 123337920155 125832559825 125882483475 128364402075 134947191925 140213423805 144722038825 147403855795 150369728145 158080996255 164250010743 172673088217 172960485425 176147395827 179710162905 182401149525 185997398925 188926068695 195535727075 196298793327 202610854355 206365398113 210517619403 217991617725 221313394757 222289574325 233689039675 233781755025 250616213575 255361609335 260396358495 273750017905 283655196097 293578993045 299516938175 299635770525 305035734237 311205404055 315865405275 320678592403 327164655545 327294457035 338744991975 350862699005 357506253069 364554901893 370013760465 377497679475 383250025067 404841575775 411010590263 425602682225 433993930825 434166116475 442211567385 474242988765 491207778607 508392890395 518019264651 518675673425 518881456275 545490761725 566778206085 586607181225 595843755115 607591503155 607832563065 616689600775 619096194339 663940184271 701067119025 711750046553 737019278975 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7368116679105 7625893355925 7745968816495 8016964810075 8048250526407 8460981322633 8631222395523 8937656326725 9113872547325 9581250626675 10275264756575 10676250698295 11223750734105 12280194465175 12506465103717 12759421566255 12950481616275 13413750877345 14385370659205 14946750977613 15477404858475 15713251027747 16598504606775 17793751163825 18130674262785 20139518922887 20844108506195 21265702610425 21274139707275 23237906449485 24050894430225 24911251629355 25382943967899 28743751880025 29181751908673 30217790437975 30825794269725 33671252202315 34875752281097 36840583395525 38729844082475 40241252632035 42304906613165 43156111977615 47139753083241 53381253491475 56118753670525 60418556768661 62532325518585 63797107831275 67068754386725 71926853296025 74733754888065 78566255138735 87545255726019 90653371313925 100697594614435 104220542530975 104627256843291 109992757194229 116189532247425 124556258146775 126914719839495 145908759543365 168356261011575 174378761405485 201206263160175 204272263360711 211524533065825 215780559888075 235698765416205 302092783843305 312661627592925 329978271582687 373668774440325 392831275693675 437726278630095 503487973072175 523136284216455 549963785971145 612816790082133 634573599197475 729543797716825 871893807027425 1021361316803555 1178493827081025 1429905843524977 1510463919216525 1649891357913435 2188631393150475 2615681421082275 2749818929855725 3064083950410665 4289717530574931 5106806584017775 7149529217624885 8249456789567175 15320419752053325 21448587652874655 35747646088124425 107242938264373275
- Sum of all divisors σ(n): 232778779004620800
- Sum of proper divisors (its aliquot sum) s(n): 125535840740247525
- 107242938264373275 is an abundant number, because the sum of its proper divisors (125535840740247525) is greater than itself. Its abundance is 18292902475874250
Bases of 107242938264373275
- Binary: 1011111010000000011100010010101111110101011001000000110112
- Hexadecimal: 0x17D00E257EAC81B
- Base-36: TBYG5PBZVA3
Squares and roots of 107242938264373275
- 107242938264373275 squared (1072429382643732752) is 11501047807576177549257128534225625
- 107242938264373275 cubed (1072429382643732753) is 1233406160003497614012458052132570467575428070171875
-
The
square root of 107242938264373275 is 327479676.1088743885 -
The
cube root of 107242938264373275 is 475104.9640824941
Scales and comparisons
How big is 107242938264373275?- 107,242,938,264,373,275 seconds is equal to 3,409,993,712 years, 32 weeks, 1 day, 5 hours, 1 minute, 15 seconds.
-
To count from 1 to 107,242,938,264,373,275 would take you about ten billion, two hundred twenty-nine million, nine hundred eighty-one thousand, one hundred thirty-seven 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 107242938264373275 cubic inches would be around 39592.1 feet tall.
Recreational maths with 107242938264373275
- 107242938264373275 backwards is 572373462839242701
- 107242938264373275 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 107242938264373275's digits is 75
- More coming soon!
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"Number 107242938264373275 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 107242938264373275 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/107242938264373275/
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The information we have on file for 107242938264373275 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 107242938264373275, math, Factors of 107242938264373275, curriculum, school, college, exams, university, Prime factorization of 107242938264373275, STEM, science, technology, engineering, physics, economics, calculator, one hundred seven quadrillion, two hundred forty-two trillion, nine hundred thirty-eight billion, two hundred sixty-four million, three hundred seventy-three thousand, two hundred seventy-five.