138441977358327552
138,441,977,358,327,552 is an even composite number composed of six prime numbers multiplied together.
What does the number 138441977358327552 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
138441977358327552 is an even 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 138441977358327552:
28 × 3 × 7 × 13 × 193 × 6613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 19 × 19 × 19 × 661 × 661 × 661)See below for interesting mathematical facts about the number 138441977358327552 from the Numbermatics database.
Names of 138441977358327552
- Cardinal: 138441977358327552 can be written as One hundred thirty-eight quadrillion, four hundred forty-one trillion, nine hundred seventy-seven billion, three hundred fifty-eight million, three hundred twenty-seven thousand, five hundred fifty-two.
Scientific notation
- Scientific notation: 1.38441977358327552 × 1017
Factors of 138441977358327552
Divisors of 138441977358327552
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 32 38 39 42 48 52 56 57 64 76 78 84 91 96 104 112 114 128 133 152 156 168 182 192 208 224 228 247 256 266 273 304 312 336 361 364 384 399 416 448 456 494 532 546 608 624 661 672 722 728 741 768 798 832 896 912 988 1064 1083 1092 1216 1248 1322 1344 1444 1456 1482 1596 1664 1729 1792 1824 1976 1983 2128 2166 2184 2432 2496 2527 2644 2688 2888 2912 2964 3192 3328 3458 3648 3952 3966 4256 4332 4368 4627 4693 4864 4992 5054 5187 5288 5376 5776 5824 5928 6384 6859 6916 7296 7581 7904 7932 8512 8593 8664 8736 9254 9386 9984 10108 10374 10576 11552 11648 11856 12559 12768 13718 13832 13881 14079 14592 15162 15808 15864 17024 17186 17328 17472 18508 18772 20216 20577 20748 21152 23104 23296 23712 25118 25536 25779 27436 27664 27762 28158 30324 31616 31728 32851 34048 34372 34656 34944 37016 37544 37677 40432 41154 41496 42304 46208 47424 48013 50236 51072 51558 54872 55328 55524 56316 60151 60648 63232 63456 65702 68744 69312 69888 74032 75088 75354 80864 82308 82992 84608 87913 89167 92416 94848 96026 98553 100472 102144 103116 109744 110656 111048 112632 120302 121296 126912 131404 137488 138624 144039 148064 150176 150708 161728 163267 164616 165984 169216 175826 178334 180453 189696 192052 197106 200944 206232 219488 221312 222096 225264 238621 240604 242592 253824 262808 263739 267501 274976 277248 288078 296128 300352 301416 323456 326534 329232 331968 351652 356668 360906 384104 394212 401888 412464 436921 438976 442624 444192 450528 477242 481208 485184 489801 507648 525616 527478 535002 549952 576156 592256 600704 602832 624169 646912 653068 658464 663936 703304 713336 715863 721812 768208 788424 803776 824928 873842 877952 888384 901056 954484 962416 970368 979602 1051232 1054956 1070004 1099904 1142869 1152312 1184512 1201408 1205664 1248338 1306136 1310763 1316928 1327872 1406608 1426672 1431726 1443624 1536416 1576848 1607552 1649856 1670347 1747684 1755904 1776768 1802112 1872507 1908968 1924832 1940736 1959204 2102464 2109912 2140008 2199808 2285738 2304624 2411328 2496676 2612272 2621526 2633856 2813216 2853344 2863452 2887248 3058447 3072832 3102073 3153696 3215104 3299712 3340694 3428607 3495368 3553536 3604224 3745014 3817936 3849664 3918408 4204928 4219824 4280016 4533799 4571476 4609248 4822656 4993352 5011041 5224544 5243052 5267712 5626432 5679973 5706688 5726904 5774496 6116894 6145664 6204146 6307392 6599424 6681388 6857214 6990736 7490028 7635872 7699328 7836816 8301499 8409856 8439648 8560032 9067598 9142952 9175341 9218496 9306219 9645312 9986704 10022082 10449088 10486104 11252864 11359946 11413376 11453808 11548992 12233788 12291328 12408292 12614784 13362776 13601397 13714428 13981472 14980056 15271744 15398656 15673632 16602998 16879296 17039919 17120064 18135196 18285904 18350682 18436992 18612438 19973408 20044164 20898176 20972208 21714511 22505728 22719892 22826752 22907616 23097984 24467576 24816584 24904497 25229568 26725552 27202794 27428856 27962944 29960112 30543488 31347264 31736593 33205996 33758592 34079838 34240128 36270392 36571808 36701364 36873984 37224876 39759811 39946816 40088328 41796352 41944416 43429022 45439784 45815232 46195968 48935152 49633168 49808994 53451104 54405588 54857712 55925888 58110493 58939387 59920224 61086976 62694528 63473186 65143533 66411992 67517184 68159676 68480256 72540784 73143616 73402728 74449752 79519622 79893632 80176656 83888832 86858044 90879568 91630464 95209779 97870304 99266336 99617988 106902208 107919487 108811176 109715424 111851776 116220986 117878774 119279433 119840448 125389056 126946372 130287066 132823984 136319352 145081568 146287232 146805456 148899504 157728481 159039244 159787264 160353312 167777664 173716088 174331479 176818161 181759136 183260928 190419558 195740608 198532672 199235976 213804416 215838974 217622352 219430848 232441972 235757548 238558866 239680896 253892744 260574132 265647968 272638704 288804781 290163136 292574464 293610912 297799008 315456962 318078488 320706624 323758461 335555328 347432176 348662958 353636322 363518272 380839116 391481216 397065344 398471952 412575709 427608832 431677948 435244704 438861696 464883944 471515096 473185443 477117732 479361792 507785488 521148264 531295936 545277408 577609562 580326272 587221824 595598016 630913924 636156976 641413248 647516922 694864352 697325916 707272644 727036544 755436409 761678232 782962432 794130688 796943904 825151418 863355896 866414343 870489408 877723392 929767888 943030192 946370886 954235464 1015570976 1042296528 1062591872 1090554816 1104099367 1155219124 1160652544 1174443648 1191196032 1237727127 1261827848 1272313952 1282826496 1295033844 1389728704 1394651832 1414545288 1454073088 1510872818 1523356464 1593887808 1650302836 1726711792 1732828686 1740978816 1859535776 1886060384 1892741772 1908470928 2021633467 2031141952 2050470253 2084593056 2125183744 2181109632 2208198734 2266309227 2310438248 2348887296 2382392064 2475454254 2523655696 2544627904 2590067688 2779457408 2789303664 2829090576 2996841139 3021745636 3046712928 3187775616 3300605672 3312298101 3453423584 3465657372 3481957632 3719071552 3754462153 3772120768 3785483544 3816941856 4043266934 4062283904 4100940506 4169186112 4362219264 4416397468 4532618454 4620876496 4950908508 5047311392 5089255808 5180135376 5487290839 5558914816 5578607328 5658181152 5993682278 6043491272 6064900401 6093425856 6151410759 6375551232 6601211344 6624596202 6906847168 6931314744 7438143104 7508924306 7544241536 7570967088 7633883712 8086533868 8124567808 8201881012 8338372224 8832794936 8990523417 9065236908 9241752992 9901817016 10094622784 10178511616 10360270752 10974581678 11157214656 11263386459 11316362304 11987364556 12086982544 12129800802 12186851712 12302821518 13202422688 13249192404 13813694336 13862629488 14353291771 14876286208 15017848612 15088483072 15141934176 15267767424 16173067736 16403762024 16461872517 16676744448 17665589872 17981046834 18130473816 18483505984 19803634032 20189245568 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129384541888 131230096192 131694980136 141324718976 142669561814 143848374672 145043790528 153644143492 155835739228 157687410426 158429072256 167823103784 172239501252 175593306848 180214183344 191797832896 193391720704 194076812832 196845144288 208517051882 210249880568 211987078464 214004342721 221802071808 229652668336 230466215238 233753608842 240285577792 251734655676 258769083776 262460192384 263389960272 272712543649 282649437952 285339123628 287696749344 290087581056 307288286984 311671478456 312775577823 315374820852 316858144512 335646207568 344479002504 351186613696 360428366688 383595665792 388153625664 393690288576 417034103764 420499761136 423974156928 428008685442 459305336672 460932430476 467507217684 480571155584 499343466349 503469311352 517538167552 524920384768 526779920544 545425087298 570678247256 575393498688 580175162112 614576573968 623342956912 625551155646 630749641704 671292415136 688958005008 702373227392 720856733376 729809681587 767191331584 776307251328 787380577152 818137630947 834068207528 840999522272 847948313856 856017370884 918610673344 921864860952 935014435368 961142311168 998686932698 1006938622704 1053559841088 1090850174596 1141356494512 1150786997376 1229153147936 1246685913824 1251102311292 1261499283408 1342584830272 1355360837233 1377916010016 1404746454784 1441713466752 1459619363174 1498030399047 1552614502656 1574761154304 1636275261894 1668136415056 1681999044544 1712034741768 1837221346688 1843729721904 1870028870736 1980911992879 1997373865396 2013877245408 2107119682176 2181700349192 2189429044761 2282712989024 2301573994752 2458306295872 2493371827648 2502204622584 2522998566816 2685169660544 2710721674466 2755832020032 2883426933504 2919238726348 2996060798094 3272550523788 3336272830112 3363998089088 3424069483536 3674442693376 3687459443808 3740057741472 3961823985758 3994747730792 4027754490816 4066082511699 4214239364352 4363400698384 4378858089522 4565425978048 4916612591744 4986743655296 5004409245168 5045997133632 5370339321088 5421443348932 5511664040064 5838477452696 5942735978637 5992121596188 6545101047576 6672545660224 6727996178176 6848138967072 7374918887616 7480115482944 7923647971516 7989495461584 8055508981632 8132165023398 8726801396768 8757716179044 9130851956096 9487525860631 9833225183488 9973487310592 10008818490336 10091994267264 10842886697864 11023328080128 11676954905392 11885471957274 11984243192376 13090202095152 13345091320448 13696277934144 13866383950153 14749837775232 14960230965888 15847295943032 15978990923168 16111017963264 16264330046796 17453602793536 17515432358088 18261703912192 18975051721262 20017636980672 20183988534528 21685773395728 23353909810784 23770943914548 23968486384752 25751855907427 26180404190304 26690182640896 27392555868288 27732767900306 28462577581893 29499675550464 29920461931776 31694591886064 31957981846336 32528660093592 34907205587072 35030864716176 37950103442524 40035273961344 41599151850459 43371546791456 46707819621568 47541887829096 47936972769504 51503711814854 52360808380608 54785111736576 55465535800612 56925155163786 63389183772128 63915963692672 65057320187184 69814411174144 70061729432352 75900206885048 77255567722281 80070547922688 83198303700918 86743093582912 93415639243136 95083775658192 95873945539008 103007423629708 104721616761216 110931071601224 113850310327572 126778367544256 127831927385344 130114640374368 140123458864704 151800413770096 154511135444562 166396607401836 173486187165824 180262991351989 186831278486272 190167551316384 191747891078016 206014847259416 209443233522432 221862143202448 227700620655144 253556735088512 260229280748736 280246917729408 303600827540192 309022270889124 332793214803672 346972374331648 360525982703978 380335102632768 383495782156032 412029694518832 443724286404896 455401241310288 507113470177024 520458561497472 540788974055967 560493835458816 607201655080384 618044541778248 665586429607344 721051965407956 760670205265536 824059389037664 887448572809792 910802482620576 1040917122994944 1081577948111934 1214403310160768 1236089083556496 1331172859214688 1442103930815912 1521340410531072 1648118778075328 1774897145619584 1821604965241152 2163155896223868 2428806620321536 2472178167112992 2662345718429376 2884207861631824 3296237556150656 3549794291239168 3643209930482304 4326311792447736 4944356334225984 5324691436858752 5768415723263648 6592475112301312 7286419860964608 8652623584895472 9888712668451968 10649382873717504 11536831446527296 17305247169790944 19777425336903936 23073662893054592 34610494339581888 46147325786109184 69220988679163776 138441977358327552
- Sum of all divisors σ(n): 479401493557934080
- Sum of proper divisors (its aliquot sum) s(n): 340959516199606528
- 138441977358327552 is an abundant number, because the sum of its proper divisors (340959516199606528) is greater than itself. Its abundance is 202517538841278976
Bases of 138441977358327552
- Binary: 1111010111101100000111110101100100111001000011111000000002
- Hexadecimal: 0x1EBD83EB2721F00
- Base-36: 11V5L2ED7V9C
Squares and roots of 138441977358327552
- 138441977358327552 squared (1384419773583275522) is 19166181094883678553299242522312704
- 138441977358327552 cubed (1384419773583275523) is 2653404009183491796869595268150056450450424602820608
-
The
square root of 138441977358327552 is 372077918.3965739615 -
The
cube root of 138441977358327552 is 517316.0242612891
Scales and comparisons
How big is 138441977358327552?- 138,441,977,358,327,552 seconds is equal to 4,402,026,650 years, 43 weeks, 5 days, 13 hours, 39 minutes, 12 seconds.
-
To count from 1 to 138,441,977,358,327,552 would take you about thirteen billion, two hundred six million, seventy-nine thousand, nine hundred fifty-two 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 138441977358327552 cubic inches would be around 43109.7 feet tall.
Recreational maths with 138441977358327552
- 138441977358327552 backwards is 255723853779144831
- 138441977358327552 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138441977358327552's digits is 84
- More coming soon!
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"Number 138441977358327552 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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Numbermatics. (2024). Number 138441977358327552 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/138441977358327552/
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The information we have on file for 138441977358327552 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 138441977358327552, math, Factors of 138441977358327552, curriculum, school, college, exams, university, Prime factorization of 138441977358327552, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, four hundred forty-one trillion, nine hundred seventy-seven billion, three hundred fifty-eight million, three hundred twenty-seven thousand, five hundred fifty-two.