138313862128661632
138,313,862,128,661,632 is an even composite number composed of five prime numbers multiplied together.
What does the number 138313862128661632 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1440 divisors.
138313862128661632 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138313862128661632:
27 × 74 × 172 × 472 × 893
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 7 × 17 × 17 × 47 × 47 × 89 × 89 × 89)See below for interesting mathematical facts about the number 138313862128661632 from the Numbermatics database.
Names of 138313862128661632
- Cardinal: 138313862128661632 can be written as One hundred thirty-eight quadrillion, three hundred thirteen trillion, eight hundred sixty-two billion, one hundred twenty-eight million, six hundred sixty-one thousand, six hundred thirty-two.
Scientific notation
- Scientific notation: 1.38313862128661632 × 1017
Factors of 138313862128661632
Divisors of 138313862128661632
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 4 7 8 14 16 17 28 32 34 47 49 56 64 68 89 94 98 112 119 128 136 178 188 196 224 238 272 289 329 343 356 376 392 448 476 544 578 623 658 686 712 752 784 799 833 896 952 1088 1156 1246 1316 1372 1424 1504 1513 1568 1598 1666 1904 2023 2176 2209 2303 2312 2401 2492 2632 2744 2848 3008 3026 3136 3196 3332 3808 4046 4183 4361 4418 4606 4624 4802 4984 5264 5488 5593 5696 5831 6016 6052 6272 6392 6664 7616 7921 8092 8366 8722 8836 9212 9248 9604 9968 10528 10591 10976 11186 11392 11662 12104 12784 13328 13583 14161 15232 15463 15842 16121 16184 16732 17444 17672 18424 18496 19208 19936 21056 21182 21952 22372 23324 24208 25568 25721 26656 27166 28322 29281 30527 30926 31684 32242 32368 33464 34888 35344 36848 36992 37553 38416 39151 39872 40817 42112 42364 43904 44744 46648 48416 51136 51442 53312 54332 55447 56644 58562 61054 61852 63368 64484 64736 66928 69776 70688 71111 73696 74137 75106 76832 78302 79744 81634 84728 89488 93296 95081 96832 99127 102272 102884 106624 108241 108664 110894 112847 113288 117124 122108 123704 126736 128968 129472 133856 134657 139552 141376 142222 147392 148274 150212 153664 156604 163268 169456 178976 180047 186592 190162 193664 196601 198254 204967 205768 213689 216482 217328 221788 225694 226576 234248 244216 247408 253472 257936 258944 262871 267712 269314 274057 279104 282752 284444 294784 296548 300424 307328 313208 326536 338912 357952 360094 372287 373184 380324 388129 393202 396508 409934 411536 427378 432964 434656 443576 451388 453152 468496 488432 494816 497777 506944 515872 518959 525742 535424 538628 548114 558208 568888 593096 600848 626416 638401 653072 665567 677824 693889 704969 715904 720188 744574 746368 757687 760648 776258 786404 793016 819868 823072 854756 865928 869312 887152 902776 906304 936992 942599 976864 989632 995554 1013888 1031744 1037918 1051484 1077256 1096228 1137776 1186192 1201696 1208887 1252832 1260329 1276802 1306144 1331134 1355648 1376207 1387778 1409938 1434769 1440376 1489148 1515374 1521296 1552516 1572808 1586032 1639736 1646144 1709512 1731856 1738624 1774304 1805552 1812608 1840097 1873984 1885198 1918399 1953728 1979264 1991108 2063488 2075836 2102968 2154512 2192456 2275552 2289169 2372384 2403392 2417774 2505664 2520658 2553604 2606009 2612288 2662268 2716903 2752414 2775556 2819876 2869538 2880752 2978296 3030748 3042592 3105032 3145616 3172064 3279472 3292288 3342217 3419024 3463712 3484439 3548608 3611104 3632713 3680194 3747968 3770396 3836798 3907456 3982216 4151672 4205936 4309024 4384912 4468807 4551104 4578338 4658969 4744768 4806784 4835548 4934783 5011328 5041316 5107208 5212018 5224576 5303809 5324536 5433806 5504828 5551112 5639752 5739076 5761504 5956592 6061496 6085184 6210064 6291232 6328879 6344128 6558944 6598193 6684434 6838048 6927424 6968878 7097216 7222208 7265426 7360388 7540792 7673596 7964432 8303344 8411872 8462209 8618048 8769824 8822303 8937614 9102208 9156676 9317938 9489536 9633449 9671096 9869566 10043383 10082632 10214416 10424036 10607618 10649072 10867612 11009656 11102224 11279504 11478152 11523008 11913184 11984473 12122992 12170368 12420128 12582464 12657758 12688256 12880679 13117888 13196386 13368868 13676096 13854848 13937756 14444416 14530852 14720776 15081584 15347192 15928864 16024183 16606688 16823744 16924418 17236096 17497489 17539648 17644606 17875228 18242063 18313352 18635876 19018321 19266898 19342192 19739132 20086766 20165264 20428832 20848072 21215236 21298144 21735224 22019312 22204448 22559008 22956304 23046016 23395519 23826368 23968946 24245984 24391073 24840256 25164928 25315516 25761358 26235776 26392772 26737736 27352192 27875512 29061704 29441552 30163168 30694384 31281649 31857728 32048366 32612783 33133543 33213376 33647488 33848836 34543481 34994978 35079296 35289212 35750456 36484126 36626704 37271752 38036642 38533796 38684384 39478264 40173532 40330528 40857664 41696144 42430472 42596288 43470448 44038624 44302153 44408896 45118016 45912608 46187351 46791038 47652736 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31543132936 32098652068 32885393912 33315219056 34732887952 35397420247 36049294784 36684173792 36903693449 37583307328 38074536064 38302375708 38976934654 39694729088 39932264036 40454194568 41383866496 42011471089 42175649656 43603742588 43970358152 44545068176 45459220996 45636873184 46440602992 48013109816 48200742464 49049625632 49832848672 50251837888 50908649344 51953395424 52947401714 53074974848 54164178208 54872125504 55200482638 57207109568 57549439346 58301633348 60420992128 60782553916 63086265872 64197304136 65770787824 66630438112 67029157489 69465775904 69881462063 70794840494 72098589568 73368347584 73807386898 75166614656 76306549529 76604751416 77953869308 79553636743 79864528072 80908389136 84022942178 84351299312 87207485176 87940716304 89090136352 90918441992 91273746368 92881205984 96026219632 96401484928 98099251264 99665697344 100503675776 102027858359 103906790848 105894803428 108328356416 109744251008 110400965276 114414219136 115098878692 116603266696 121565107832 126172531744 128394608272 131541575648 133260876224 134058314978 136419271289 138931551808 139762924126 141589680988 146736695168 147614773796 152613099058 153209502832 155907738616 159107273486 159729056144 161816778272 168045884356 168702598624 174414970352 175881432608 178180272704 181836883984 182547492736 185315905999 185762411968 192052439264 193201689233 196198502528 199331394688 204055716718 207813581696 211789606856 216656712832 220801930552 230197757384 233206533392 243130215664 247781941729 252345063488 256789216544 258325854143 263083151296 266521752448 268116629956 272838542578 277863103616 279525848252 283179361976 295229547592 305226198116 306419005664 311815477232 318214546972 319458112288 323633556544 336091768712 337405197248 348829940704 351762865216 356360545408 363673767968 370631811998 371524823936 384104878528 386403378466 408111433436 423579213712 441603861104 450052914569 460395514768 466413066784 469204102423 486260431328 489170234441 495563883458 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2441809584928 2494523817856 2545716375776 2594422683986 2688734149696 2704823649262 2856780034052 2965054495984 3091227027728 3150370401983 3264891467488 3284428716961 3388633709696 3468947184206 3532830888832 3600423316552 3683164118144 3739020926921 3753632819384 3913361875528 3964511067664 4133213666288 4273166773624 4289866079296 4365416681248 4472413572032 4530869791616 4723672761472 4883619169856 5091432751552 5188845367972 5377468299392 5409647298524 5713560068104 5930108991968 6182454055456 6300740803966 6529782934976 6568857433922 6937894368412 7200846633104 7478041853842 7507265638768 7826723751056 7929022135328 8266427332576 8546333547248 8579732158592 8730833362496 8944827144064 9080479393951 9767238339712 10182865503104 10377690735944 10819294597048 11427120136208 11860217983936 12141315144721 12364908110912 12601481607932 13059565869952 13137714867844 13875788736824 14401693266208 14956083707684 15014531277536 15653447502112 15858044270656 16532854665152 17092667094496 17461666724992 18160958787902 20755381471888 21638589194096 22052592813881 22854240272416 22991001018727 23720435967872 24282630289442 24729816221824 25202963215864 26275429735688 27751577473648 28803386532416 29912167415368 30029062555072 31306895004224 31716088541312 33065709330304 34185334188992 36321917575804 41510762943776 43277178388192 44105185627762 45708480544832 45982002037454 48565260578884 50405926431728 52550859471376 55503154947296 57606773064832 59824334830736 60058125110144 62613790008448 63563355757657 68370668377984 72643835151608 83021525887552 86554356776384 88210371255524 91416961089664 91964004074908 97130521157768 100811852863456 105101718942752 111006309894592 119648669661472 127126711515314 145287670303216 154368149697167 166043051775104 173108713552768 176420742511048 183928008149816 194261042315536 201623705726912 210203437885504 222012619789184 239297339322944 254253423030628 290575340606432 308736299394334 352841485022096 367856016299632 388522084631072 403247411453824 420406875771008 478594678645888 508506846061256 581150681212864 617472598788668 705682970044192 735712032599264 777044169262144 1017013692122512 1080577047880169 1162301362425728 1234945197577336 1411365940088384 1471424065198528 1554088338524288 2034027384245024 2161154095760338 2469890395154672 2822731880176768 2942848130397056 4068054768490048 4322308191520676 4939780790309344 8136109536980096 8644616383041352 9879561580618688 17289232766082704 19759123161237376 34578465532165408 69156931064330816 138313862128661632
- Sum of all divisors σ(n): 352858490018180100
- Sum of proper divisors (its aliquot sum) s(n): 214544627889518468
- 138313862128661632 is an abundant number, because the sum of its proper divisors (214544627889518468) is greater than itself. Its abundance is 76230765760856836
Bases of 138313862128661632
- Binary: 1111010110110001110111001100010111011000011110100100000002
- Hexadecimal: 0x1EB63B98BB0F480
- Base-36: 11TW672PB98G
Squares and roots of 138313862128661632
- 138313862128661632 squared (1383138621286616322) is 19130724456946418442839383548903424
- 138313862128661632 cubed (1383138621286616323) is 2646044384959502091870181317758712239739354342227968
-
The
square root of 138313862128661632 is 371905716.7195223851 -
The
cube root of 138313862128661632 is 517156.3989868377
Scales and comparisons
How big is 138313862128661632?- 138,313,862,128,661,632 seconds is equal to 4,397,952,982 years, 42 weeks, 6 days, 9 hours, 33 minutes, 52 seconds.
-
To count from 1 to 138,313,862,128,661,632 would take you about thirteen billion, one hundred ninety-three million, eight hundred fifty-eight thousand, nine hundred forty-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 138313862128661632 cubic inches would be around 43096.4 feet tall.
Recreational maths with 138313862128661632
- 138313862128661632 backwards is 236166821268313831
- The number of decimal digits it has is: 18
- The sum of 138313862128661632's digits is 70
- More coming soon!
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"Number 138313862128661632 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 138313862128661632 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/138313862128661632/
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The information we have on file for 138313862128661632 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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