138633582561999616
138,633,582,561,999,616 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138633582561999616 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
138633582561999616 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 138633582561999616:
28 × 72 × 13 × 61 × 157 × 16381 × 5419
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 13 × 61 × 157 × 16381 × 5419)See below for interesting mathematical facts about the number 138633582561999616 from the Numbermatics database.
Names of 138633582561999616
- Cardinal: 138633582561999616 can be written as One hundred thirty-eight quadrillion, six hundred thirty-three trillion, five hundred eighty-two billion, five hundred sixty-one million, nine hundred ninety-nine thousand, six hundred sixteen.
Scientific notation
- Scientific notation: 1.38633582561999616 × 1017
Factors of 138633582561999616
Divisors of 138633582561999616
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 32 49 52 56 61 64 91 98 104 112 122 128 157 182 196 208 224 244 256 314 364 392 416 427 448 488 628 637 728 784 793 832 854 896 976 1099 1256 1274 1456 1568 1586 1664 1708 1792 1952 2041 2198 2512 2548 2912 2989 3136 3172 3328 3416 3904 4082 4396 5024 5096 5419 5551 5824 5978 6272 6344 6832 7693 7808 8164 8792 9577 10048 10192 10838 11102 11648 11956 12544 12688 13664 14287 15386 15616 16328 16381 17584 19154 20096 20384 21676 22204 23296 23912 25376 27328 28574 30772 32656 32762 35168 37933 38308 38857 40192 40768 43352 44408 47824 50752 54656 57148 61544 65312 65524 67039 70336 70447 75866 76616 77714 81536 86704 88816 95648 100009 101504 109312 114296 114667 123088 124501 130624 131048 134078 140672 140894 151732 153232 155428 163072 173408 177632 191296 200018 203008 212953 228592 229334 246176 249002 261248 262096 265531 268156 281344 281788 303464 306464 310856 330559 346816 355264 382592 400036 425906 457184 458668 469273 492352 493129 498004 522496 524192 531062 536312 563576 606928 612928 621712 661118 693632 710528 765184 800072 802669 850783 851812 871507 914368 917336 938546 984704 986258 996008 999241 1048384 1062124 1072624 1127152 1213856 1225856 1243424 1322236 1387264 1421056 1490671 1600144 1605338 1701566 1703624 1743014 1828736 1834672 1877092 1969408 1972516 1992016 1998482 2096768 2124248 2145248 2254304 2313913 2427712 2451712 2486848 2571817 2644472 2981342 3200288 3210676 3403132 3407248 3451903 3486028 3657472 3669344 3754184 3945032 3984032 3996964 4193536 4248496 4290496 4297267 4508608 4627826 4855424 4973696 5143634 5288944 5955481 5962684 6100549 6400576 6421352 6806264 6814496 6903806 6972056 6994687 7338688 7508368 7890064 7968064 7993928 8496992 8580992 8594534 9017216 9255652 9710848 9947392 10287268 10434697 10577888 11060179 11910962 11925368 12201098 12801152 12842704 12990133 13612528 13628992 13807612 13944112 13989374 14677376 15016736 15780128 15936128 15987856 16197391 16993984 17161984 17189068 18002719 18034432 18511304 20574536 20869394 21155776 22120358 23821924 23850736 24402196 25602304 25685408 25980266 27225056 27257984 27615224 27888224 27978748 29354752 30033472 30080869 31560256 31872256 31975712 32394782 33433621 33987968 34378136 36005438 37022608 41149072 41688367 41738788 42311552 44240716 47643848 47701472 48804392 48962809 51370816 51897763 51960532 54450112 54515968 55230448 55776448 55957496 60066944 60161738 63120512 63951424 64789564 66867242 67975936 68756272 72010876 74045216 77421253 82298144 83376734 83477576 84623104 88481432 88768639 90930931 95287696 95402944 97608784 97925618 102741632 103795526 103921064 108900224 110460896 111552896 111914992 120133888 120323476 126019033 126241024 127902848 129579128 133734484 137512544 144021752 148090432 154842506 156880837 164596288 166753468 166955152 176962864 177537278 181861862 190575392 190805888 195217568 195851236 205483264 207591052 207842128 210566083 217800448 220921792 223105792 223829984 234035347 240646952 252038066 255805696 259158256 267468968 275025088 288043504 296180864 309685012 313761674 329192576 333506936 333910304 353925728 355074556 363284341 363723724 381150784 381611776 390435136 391702472 415182104 415684256 421132166 441843584 447659968 468070694 481293904 504076132 518316512 534937936 541948771 550050176 576087008 592361728 619370024 621380473 627523348 636516517 658385152 667013872 667820608 674670919 707851456 710149112 726568682 727447448 762301568 780870272 783404944 830364208 831368512 842264332 883687168 895319936 936141388 962587808 1008152264 1036633024 1069875872 1083897542 1098165859 1100100352 1152174016 1153992307 1238740048 1242760946 1255046696 1273033034 1334027744 1335641216 1349341838 1415702912 1420298224 1453137364 1454894896 1524603136 1561740544 1566809888 1638247429 1660728416 1662737024 1684528664 1790639872 1872282776 1925175616 2016304528 2039450881 2073266048 2139751744 2167795084 2196331718 2304348032 2307984614 2477480096 2485521892 2510093392 2542990387 2546066068 2668055488 2671282432 2698683676 2831405824 2840596448 2906274728 2909789792 3133619776 3276494858 3321456832 3325474048 3369057328 3744565552 3850351232 4032609056 4078901762 4146532096 4279503488 4335590168 4349663311 4392663436 4608696064 4615969228 4722696433 4954960192 4971043784 5020186784 5085980774 5092132136 5336110976 5397367352 5414886979 5681192896 5812549456 5819579584 6267239552 6552989716 6642913664 6738114656 7489131104 7687161013 7700702464 8065218112 8077946149 8157803524 8559006976 8671180336 8699326622 8785326872 9231938456 9445392866 9909920384 9942087568 10040373568 10171961548 10184264272 10672221952 10794734704 10829773958 11362385792 11625098912 11639159168 12534479104 13105979432 13285827328 13476229312 13936676323 14276156167 14978262208 15374322026 16130436224 16155892298 16315607048 17342360672 17398653244 17570653744 18463876912 18890785732 19819840768 19884175136 20080747136 20343923096 20368528544 21589469408 21659547916 22724771584 23250197824 23278318336 26211958864 26952458624 27873352646 28552312334 29956524416 30748644052 32260872448 32311784596 32631214096 33058875031 34684721344 34797306488 35141307488 36927753824 37781571464 37904208853 39768350272 40161494272 40687846192 40737057088 43178938816 43319095832 46500395648 52423917728 53904917248 55746705292 56545623043 57104624668 59913048832 61497288104 64623569192 65262428192 66117750062 69369442688 69594612976 70282614976 70393530727 73855507648 75563142928 75808417706 79536700544 81375692384 81474114176 86357877632 86638191664 93000791296 97556734261 99933093169 104847835456 111493410584 113091246086 114209249336 122994576208 129247138384 130524856384 132235500124 138738885376 139189225952 140565229952 140787061454 147711015296 151126285856 151616835412 159073401088 162751384768 162948228352 172715755264 173276383328 181176792199 195113468522 199866186338 209695670912 222986821168 226182492172 228418498672 245989152416 258494276768 261049712768 264471000248 265329461971 278378451904 281130459904 281574122908 295422030592 302252571712 303233670824 325502769536 346552766656 362353584398 390226937044 399732372676 419391341824 445973642336 452364984344 456836997344 491978304832 492754715089 516988553536 522099425536 528942000496 530658923942 556756903808 563148245816 604505143424 606467341648 651005539072 682897139827 693105533312 724707168796 780453874088 799464745352 850137255703 891947284672 904729968688 913673994688 983956609664 985509430178 1033977107072 1057884000992 1061317847884 1113513807616 1126296491632 1209010286848 1212934683296 1268237545393 1365794279654 1386211066624 1449414337592 1560907748176 1598929490704 1700274511406 1783894569344 1809459937376 1827347989376 1967913219328 1971018860356 2067954214144 2115768001984 2122635695768 2252592983264 2425869366592 2536475090786 2731588559308 2898828675184 3121815496352 3197858981408 3400549022812 3449283005623 3567789138688 3618919874752 3654695978752 3942037720712 4231536003968 4245271391536 4505185966528 4851738733184 5072950181572 5463177118616 5797657350368 5950960789921 6243630992704 6395717962816 6801098045624 6898566011246 7237839749504 7884075441424 8463072007936 8490542783072 8877662817751 9010371933056 9703477466368 10145900363144 10926354237232 11051784324139 11595314700736 11901921579842 12487261985408 12791435925632 13602196091248 13797132022492 14475679499008 15768150882848 16981085566144 17755325635502 18020743866112 20291800726288 21852708474464 22103568648278 23190629401472 23803843159684 24974523970816 25582871851264 27204392182496 27594264044984 31536301765696 33962171132288 35510651271004 40583601452576 41656725529447 43705416948928 44207137296556 46381258802944 47607686319368 54408784364992 55188528089968 63072603531392 67924342264576 71021302542008 77362490268973 81167202905152 83313451058894 87410833897856 88414274593112 95215372638736 108817568729984 110377056179936 126145207062784 142042605084016 154724980537946 162334405810304 166626902117788 174821667795712 176828549186224 190430745277472 217635137459968 220754112359872 284085210168032 309449961075892 324668811620608 333253804235576 353657098372448 380861490554944 441508224719744 541537431882811 568170420336064 618899922151784 666507608471152 707314196744896 761722981109888 883016449439488 1083074863765622 1136340840672128 1237799844303568 1333015216942304 1414628393489792 1523445962219776 2166149727531244 2272681681344256 2475599688607136 2666030433884608 2829256786979584 4332299455062488 4951199377214272 5332060867769216 8664598910124976 9902398754428544 10664121735538432 17329197820249952 19804797508857088 34658395640499904 69316791280999808 138633582561999616
- Sum of all divisors σ(n): 354681695662566720
- Sum of proper divisors (its aliquot sum) s(n): 216048113100567104
- 138633582561999616 is an abundant number, because the sum of its proper divisors (216048113100567104) is greater than itself. Its abundance is 77414530538567488
Bases of 138633582561999616
- Binary: 1111011001000011010000010010000101000110000111011000000002
- Hexadecimal: 0x1EC8682428C3B00
- Base-36: 11X1I4M4DV5S
Squares and roots of 138633582561999616
- 138633582561999616 squared (1386335825619996162) is 19219270213974764013252592384147456
- 138633582561999616 cubed (1386335825619996163) is 2664436283990450472815957562138857672362786759376896
-
The
square root of 138633582561999616 is 372335309.3140638683 -
The
cube root of 138633582561999616 is 517554.5712475089
Scales and comparisons
How big is 138633582561999616?- 138,633,582,561,999,616 seconds is equal to 4,408,119,103 years, 33 weeks, 3 days, 20 hours, 20 minutes, 16 seconds.
-
To count from 1 to 138,633,582,561,999,616 would take you about thirteen billion, two hundred twenty-four million, three hundred fifty-seven thousand, three hundred ten 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 138633582561999616 cubic inches would be around 43129.5 feet tall.
Recreational maths with 138633582561999616
- 138633582561999616 backwards is 616999165285336831
- 138633582561999616 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138633582561999616's digits is 91
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138633582561999616 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 138633582561999616 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/138633582561999616/
Chicago style:
Numbermatics. 2024. "Number 138633582561999616 - Facts about the integer". https://numbermatics.com/n/138633582561999616/
The information we have on file for 138633582561999616 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 138633582561999616, math, Factors of 138633582561999616, curriculum, school, college, exams, university, Prime factorization of 138633582561999616, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, six hundred thirty-three trillion, five hundred eighty-two billion, five hundred sixty-one million, nine hundred ninety-nine thousand, six hundred sixteen.