122138291337763680
122,138,291,337,763,680 is an even composite number composed of seven prime numbers multiplied together.
What does the number 122138291337763680 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
122138291337763680 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 122138291337763680:
25 × 32 × 5 × 7 × 37 × 612 × 88009573
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 37 × 61 × 61 × 88009573)See below for interesting mathematical facts about the number 122138291337763680 from the Numbermatics database.
Names of 122138291337763680
- Cardinal: 122138291337763680 can be written as One hundred twenty-two quadrillion, one hundred thirty-eight trillion, two hundred ninety-one billion, three hundred thirty-seven million, seven hundred sixty-three thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.2213829133776368 × 1017
Factors of 122138291337763680
Divisors of 122138291337763680
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 37 40 42 45 48 56 60 61 63 70 72 74 80 84 90 96 105 111 112 120 122 126 140 144 148 160 168 180 183 185 210 222 224 240 244 252 259 280 288 296 305 315 333 336 360 366 370 420 427 444 480 488 504 518 549 555 560 592 610 630 666 672 720 732 740 777 840 854 888 915 976 1008 1036 1098 1110 1120 1184 1220 1260 1281 1295 1332 1440 1464 1480 1554 1665 1680 1708 1776 1830 1952 2016 2072 2135 2196 2220 2257 2331 2440 2520 2562 2590 2664 2745 2928 2960 3108 3330 3360 3416 3552 3660 3721 3843 3885 4144 4270 4392 4440 4514 4662 4880 5040 5124 5180 5328 5490 5856 5920 6216 6405 6660 6771 6832 7320 7442 7686 7770 8288 8540 8784 8880 9028 9324 9760 10080 10248 10360 10656 10980 11163 11285 11655 12432 12810 13320 13542 13664 14640 14884 15372 15540 15799 17080 17568 17760 18056 18605 18648 19215 20313 20496 20720 21960 22326 22570 23310 24864 25620 26047 26640 27084 29280 29768 30744 31080 31598 33489 33855 34160 36112 37210 37296 38430 40626 40992 41440 43920 44652 45140 46620 47397 51240 52094 53280 54168 55815 59536 61488 62160 63196 66978 67710 68320 72224 74420 74592 76860 78141 78995 81252 87840 89304 90280 93240 94794 101565 102480 104188 108336 111630 119072 122976 124320 126392 130235 133956 135420 137677 142191 148840 153720 156282 157990 162504 167445 178608 180560 186480 189588 203130 204960 208376 216672 223260 234423 236985 252784 260470 267912 270840 275354 284382 297680 307440 312564 315980 325008 334890 357216 361120 372960 379176 390705 406260 413031 416752 446520 468846 473970 505568 520940 535824 541680 550708 568764 595360 614880 625128 631960 650016 669780 688385 710955 758352 781410 812520 826062 833504 893040 937692 947940 963739 1041880 1071648 1083360 1101416 1137528 1172115 1239093 1250256 1263920 1339560 1376770 1421910 1516704 1562820 1625040 1652124 1786080 1875384 1895880 1927478 2065155 2083760 2202832 2275056 2344230 2478186 2500512 2527840 2679120 2753540 2843820 2891217 3125640 3250080 3304248 3750768 3791760 3854956 4130310 4167520 4405664 4550112 4688460 4818695 4956372 5358240 5507080 5687640 5782434 6195465 6251280 6608496 7501536 7583520 7709912 8260620 8673651 9376920 9637390 9912744 11014160 11375280 11564868 12390930 12502560 13216992 14456085 15419824 16521240 17347302 18753840 19274780 19825488 22028320 22750560 23129736 24781860 28912170 30839648 33042480 34694604 37507680 38549560 39650976 43368255 46259472 49563720 57824340 66084960 69389208 77099120 86736510 88009573 92518944 99127440 115648680 138778416 154198240 173473020 176019146 198254880 231297360 264028719 277556832 346946040 352038292 440047865 462594720 528057438 616067011 693892080 704076584 792086157 880095730 1056114876 1232134022 1320143595 1387784160 1408153168 1584172314 1760191460 1848201033 2112229752 2464268044 2640287190 2816306336 3080335055 3168344628 3256354201 3520382920 3696402066 3960430785 4224459504 4928536088 5280574380 5368583953 5544603099 6160670110 6336689256 6512708402 7040765840 7392804132 7920861570 8448919008 9241005165 9769062603 9857072176 10561148760 10737167906 11089206198 12321340220 12673378512 13025416804 14081531680 14785608264 15841723140 16105751859 16281771005 18482010330 19538125206 19714144352 21122297520 21474335812 22178412396 22794479407 24642680440 25346757024 26050833608 26842919765 27723015495 29307187809 29571216528 31683446280 32211503718 32563542010 36964020660 37580087671 39076250412 42244595040 42948671624 44356824792 45588958814 48317255577 48845313015 49285360880 52101667216 53685839530 55446030990 58614375618 59142433056 63366892560 64423007436 65127084020 68383438221 73928041320 75160175342 78152500824 80528759295 85897343248 88713649584 91177917628 96634511154 97690626030 98570721760 104203334432 107371679060 110892061980 112740263013 113972397035 117228751236 126733785120 128846014872 130254168040 136766876442 146535939045 147856082640 150320350684 156305001648 161057518590 171794686496 177427299168 182355835256 187900438355 193269022308 195381252060 198637606261 205150314663 214743358120 221784123960 225480526026 227944794070 234457502472 241586277885 257692029744 260508336080 273533752884 293071878090 295712165280 300640701368 312610003296 322115037180 327483621133 338220789039 341917191105 364711670512 375800876710 386538044616 390762504120 397275212522 410300629326 429486716240 443568247920 450961052052 455889588140 468915004944 483172555770 515384059488 521016672160 547067505768 563701315065 586143756180 595912818783 601281402736 644230074360 654967242266 676441578078 683834382210 729423341024 751601753420 773076089232 781525008240 794550425044 820601258652 858973432480 887136495840 901922104104 911779176280 937830009888 966345111540 982450863399 993188031305 1025751573315 1094135011536 1127402630130 1172287512360 1191825637566 1202562805472 1288460148720 1309934484532 1352883156156 1367668764420 1390463243827 1503203506840 1546152178464 1563050016480 1589100850088 1637418105665 1641202517304 1691103945195 1787738456349 1803844208208 1823558352560 1932690223080 1964901726798 1986376062610 2051503146630 2188270023072 2254805260260 2292385347931 2344575024720 2383651275132 2576920297440 2619868969064 2705766312312 2735337528840 2780926487654 2947352590197 2979564093915 3006407013680 3178201700176 3274836211330 3282405034608 3382207890390 3575476912698 3607688416416 3647116705120 3865380446160 3929803453596 3972752125220 4103006293260 4171389731481 4509610520520 4584770695862 4689150049440 4767302550264 4912254316995 5239737938128 5411532624624 5470675057680 5561852975308 5894705180394 5959128187830 6012814027360 6356403400352 6549672422660 6564810069216 6764415780780 6877156043793 6952316219135 7150953825396 7730760892320 7859606907192 7945504250440 8206012586520 8342779462962 8938692281745 9019221041040 9169541391724 9534605100528 9824508633990 10479475876256 10823065249248 10941350115360 11123705950616 11461926739655 11789410360788 11918256375660 12116893981921 12514169194443 13099344845320 13528831561560 13754312087586 13904632438270 14301907650792 14736762950985 15719213814384 15891008500880 16412025173040 16685558925924 17877384563490 18038442082080 18339082783448 19069210201056 19649017267980 20631468131379 20856948657405 22247411901232 22923853479310 23578820721576 23836512751320 24233787963842 25028338388886 26198689690640 27057663123120 27508624175172 27809264876540 28603815301584 29473525901970 31438427628768 31782017001760 32824050346080 33371117851848 34385780218965 35754769126980 36350681945763 36678165566896 39298034535960 41262936262758 41713897314810 44494823802464 45847706958620 47157641443152 47673025502640 48467575927684 50056676777772 52397379381280 54115326246240 55017248350344 55618529753080 57207630603168 58947051803940 60584469909605 62570845972215 66742235703696 68771560437930 71509538253960 72701363891526 73356331133792 78596069071920 82525872525516 83427794629620 84818257873447 91695413917240 94315282886304 95346051005280 96935151855368 100113353555544 103157340656895 109052045837289 110034496700688 111237059506160 117894103607880 121168939819210 125141691944430 133484471407392 137543120875860 143019076507920 145402727783052 157192138143840 165051745051032 166855589259240 169636515746894 181753409728815 183390827834480 193870303710736 200226707111088 206314681313790 218104091674578 220068993401376 222474119012320 235788207215760 242337879638420 250283383888860 254454773620341 275086241751720 286038153015840 290805455566104 330103490102064 333711178518480 339273031493788 363506819457630 366781655668960 387740607421472 400453414222176 412629362627580 424091289367235 436208183349156 471576414431520 484675759276840 500566767777720 508909547240682 545260229186445 550172483503440 581610911132208 660206980204128 667422357036960 678546062987576 727013638915260 763364320861023 825258725255160 848182578734470 872416366698312 969351518553680 1001133535555440 1017819094481364 1090520458372890 1100344967006880 1163221822264416 1272273868101705 1357092125975152 1454027277830520 1526728641722046 1650517450510320 1696365157468940 1744832733396624 1938703037107360 2002267071110880 2035638188962728 2181040916745780 2544547736203410 2714184251950304 2908054555661040 3053457283444092 3301034901020640 3392730314937880 3489665466793248 3816821604305115 4071276377925456 4362081833491560 5089095472406820 5816109111322080 6106914566888184 6785460629875760 7633643208610230 8142552755850912 8724163666983120 10178190944813640 12213829133776368 13570921259751520 15267286417220460 17448327333966240 20356381889627280 24427658267552736 30534572834440920 40712763779254560 61069145668881840 122138291337763680
- Sum of all divisors σ(n): 497364742960892352
- Sum of proper divisors (its aliquot sum) s(n): 375226451623128672
- 122138291337763680 is an abundant number, because the sum of its proper divisors (375226451623128672) is greater than itself. Its abundance is 253088160285364992
Bases of 122138291337763680
- Binary: 1101100011110110000100000111111001010100100011011011000002
- Hexadecimal: 0x1B1EC20FCA91B60
- Base-36: XEMESFT9UG0
Squares and roots of 122138291337763680
- 122138291337763680 squared (1221382913377636802) is 14917762210908438388226063527142400
- 122138291337763680 cubed (1221382913377636803) is 1822029987023416483938096213923108738479796908032000
-
The
square root of 122138291337763680 is 349482891.3377072311 -
The
cube root of 122138291337763680 is 496154.8945779407
Scales and comparisons
How big is 122138291337763680?- 122,138,291,337,763,680 seconds is equal to 3,883,619,866 years, 2 hours, 48 minutes.
-
To count from 1 to 122,138,291,337,763,680 would take you about eleven billion, six hundred fifty million, eight hundred fifty-nine thousand, five hundred ninety-eight 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 122138291337763680 cubic inches would be around 41346.2 feet tall.
Recreational maths with 122138291337763680
- 122138291337763680 backwards is 086367733192831221
- 122138291337763680 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 122138291337763680's digits is 72
- More coming soon!
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The information we have on file for 122138291337763680 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 122138291337763680, math, Factors of 122138291337763680, curriculum, school, college, exams, university, Prime factorization of 122138291337763680, STEM, science, technology, engineering, physics, economics, calculator, one hundred twenty-two quadrillion, one hundred thirty-eight trillion, two hundred ninety-one billion, three hundred thirty-seven million, seven hundred sixty-three thousand, six hundred eighty.