138038553372767616
138,038,553,372,767,616 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138038553372767616 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1536 divisors.
138038553372767616 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138038553372767616:
27 × 35 × 17 × 23 × 47 × 2797 × 86341
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 17 × 23 × 47 × 2797 × 86341)See below for interesting mathematical facts about the number 138038553372767616 from the Numbermatics database.
Names of 138038553372767616
- Cardinal: 138038553372767616 can be written as One hundred thirty-eight quadrillion, thirty-eight trillion, five hundred fifty-three billion, three hundred seventy-two million, seven hundred sixty-seven thousand, six hundred sixteen.
Scientific notation
- Scientific notation: 1.38038553372767616 × 1017
Factors of 138038553372767616
Divisors of 138038553372767616
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 23 24 27 32 34 36 46 47 48 51 54 64 68 69 72 81 92 94 96 102 108 128 136 138 141 144 153 162 184 188 192 204 207 216 243 272 276 282 288 306 324 368 376 384 391 408 414 423 432 459 486 544 552 564 576 612 621 648 736 752 782 799 816 828 846 864 918 972 1081 1088 1104 1128 1152 1173 1224 1242 1269 1296 1377 1472 1504 1564 1598 1632 1656 1692 1728 1836 1863 1944 2162 2176 2208 2256 2346 2397 2448 2484 2538 2592 2754 2797 2944 3008 3128 3196 3243 3264 3312 3384 3456 3519 3672 3726 3807 3888 4131 4324 4416 4512 4692 4794 4896 4968 5076 5184 5508 5589 5594 6016 6256 6392 6486 6528 6624 6768 7038 7191 7344 7452 7614 7776 8262 8391 8648 8832 9024 9384 9588 9729 9792 9936 10152 10368 10557 11016 11178 11188 11421 12512 12784 12972 13248 13536 14076 14382 14688 14904 15228 15552 16524 16782 17296 18048 18377 18768 19176 19458 19584 19872 20304 21114 21573 22032 22356 22376 22842 25024 25173 25568 25944 26496 27072 28152 28764 29187 29376 29808 30456 31104 31671 33048 33564 34592 36754 37536 38352 38916 39744 40608 42228 43146 44064 44712 44752 45684 47549 50048 50346 51136 51888 54144 55131 56304 57528 58374 58752 59616 60912 63342 64331 64719 66096 67128 69184 73508 75072 75519 76704 77832 79488 81216 84456 86292 86341 87561 88128 89424 89504 91368 95013 95098 100692 102272 103776 110262 112608 115056 116748 119232 121824 126684 128662 129438 131459 132192 134256 138368 142647 147016 150144 151038 153408 155664 162432 165393 168912 172584 172682 175122 176256 178848 179008 182736 190026 190196 192993 194157 201384 207552 220524 225216 226557 230112 233496 238464 243648 253368 257324 258876 259023 262683 262918 264384 268512 285294 294032 302076 306816 311328 330786 337824 345168 345364 350244 357696 358016 365472 380052 380392 385986 388314 394377 402768 415104 427941 441048 450432 453114 460224 466992 487296 496179 506736 514648 517752 518046 525366 525836 528768 537024 570588 578979 588064 604152 622656 661572 675648 679671 690336 690728 700488 715392 730944 760104 760784 771972 776628 777069 788754 805536 855882 882096 906228 920448 933984 992358 1013472 1029296 1035504 1036092 1050732 1051672 1074048 1093627 1141176 1157958 1176128 1183131 1208304 1245312 1283823 1323144 1351296 1359342 1380672 1381456 1400976 1461888 1467797 1488537 1520208 1521568 1543944 1553256 1554138 1577508 1611072 1711764 1736937 1764192 1812456 1867968 1984716 1985843 2026944 2058592 2071008 2072184 2101464 2103344 2187254 2234803 2282352 2315916 2331207 2352256 2366262 2416608 2567646 2646288 2718684 2761344 2762912 2801952 2935594 2977074 3023557 3040416 3043136 3087888 3106512 3108276 3155016 3222144 3280881 3423528 3473874 3528384 3549393 3624912 3735936 3851469 3969432 3971686 4053888 4058027 4117184 4142016 4144368 4202928 4206688 4374508 4403391 4465611 4469606 4564704 4631832 4662414 4732524 4833216 5135292 5210811 5292576 5437368 5525824 5603904 5871188 5954148 5957529 6047114 6080832 6086272 6175776 6213024 6216552 6310032 6561762 6704409 6847056 6947748 6993621 7056768 7098786 7249824 7702938 7938864 7943372 8116054 8234368 8284032 8288736 8405856 8413376 8749016 8806782 8931222 8939212 9070671 9129408 9263664 9324828 9465048 9666432 9842643 10270584 10421622 10585152 10648179 10874736 11051648 11207808 11554407 11742376 11908296 11915058 12094228 12161664 12174081 12351552 12426048 12433104 12620064 13123524 13210173 13408818 13694112 13895496 13987242 14197572 14499648 15405876 15632433 15877728 15886744 16232108 16577472 16811712 16826752 17498032 17613564 17862444 17872587 17878424 18141342 18258816 18527328 18649656 18930096 19685286 20113227 20541168 20843244 20980863 21170304 21296358 21749472 23108814 23484752 23816592 23830116 24188456 24348162 24703104 24852096 24866208 25240128 26247048 26420346 26817636 27212013 27388224 27790992 27974484 28395144 28999296 29527929 30811752 31264866 31755456 31773488 31944537 32464216 33154944 33623424 33759331 34996064 35227128 35724888 35745174 35756848 36282684 36522243 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3021595161824 3084522554808 3087282013168 3132683219244 3199336053696 3268886837472 3399294557052 3473192264814 3547089972576 3599253060408 3677497692156 3755742323904 3990476219148 4112696739744 4176910958992 4358515783296 4437967893929 4532392742736 4630923019752 4699024828866 4729453296768 4799004080544 4903330256208 5098941835578 5209788397221 5320634958864 5398879590612 5483595652992 5516246538234 6043190323648 6169045109616 6174564026336 6265366438488 6398672107392 6537773674944 6798589114104 6946384529628 7048537243299 7094179945152 7198506120816 7354995384312 7511484647808 7648412753367 7980952438296 8225393479488 8353821917984 8875935787858 9064785485472 9261846039504 9398049657732 9598008161088 9806660512416 10197883671156 10419576794442 10641269917728 10797759181224 11032493076468 12086380647296 12338090219232 12349128052672 12530732876976 13075547349888 13313903681787 13597178228208 13892769059256 14097074486598 14188359890304 14397012241632 14709990768624 15296825506734 15629365191663 15961904876592 16450786958976 16707643835968 17751871575716 18129570970944 18523692079008 18796099315464 19196016322176 19613321024832 20395767342312 20839153588884 21145611729897 21282539835456 21595518362448 22064986152936 22945238260101 24676180438464 24698256105344 25061465753952 26627807363574 27194356456416 27785538118512 28194148973196 28794024483264 29419981537248 30593651013468 31258730383326 31923809753184 33415287671936 35503743151432 36259141941888 37047384158016 37592198630928 39226642049664 39941711045361 40791534684624 41678307177768 42291223459794 42565079670912 43191036724896 44129972305872 45890476520202 46888095574989 49352360876928 50122931507904 53255614727148 54388712912832 55571076237024 56388297946392 57588048966528 58839963074496 61187302026936 62517460766652 63436835189691 63847619506368 71007486302864 74094768316032 75184397261856 79883422090722 81583069369248 83356614355536 84582446919588 86382073449792 88259944611744 91780953040404 93776191149978 100245863015808 106511229454296 108777425825664 111142152474048 112776595892784 117679926148992 119825133136083 122374604053872 125034921533304 126873670379382 127695239012736 142014972605728 150368794523712 159766844181444 163166138738496 166713228711072 169164893839176 172764146899584 176519889223488 183561906080808 187552382299956 213022458908592 222284304948096 225553191785568 239650266272166 244749208107744 250069843066608 253747340758764 284029945211456 300737589047424 319533688362888 326332277476992 333426457422144 338329787678352 353039778446976 359475399408249 367123812161616 375104764599912 426044917817184 451106383571136 479300532544332 489498416215488 500139686133216 507494681517528 568059890422912 639067376725776 666852914844288 676659575356704 718950798816498 734247624323232 750209529199824 852089835634368 902212767142272 958601065088664 978996832430976 1000279372266432 1014989363035056 1078426198224747 1278134753451552 1353319150713408 1437901597632996 1468495248646464 1500419058399648 1704179671268736 1917202130177328 2000558744532864 2029978726070112 2156852396449494 2556269506903104 2706638301426816 2875803195265992 2936990497292928 3000838116799296 3834404260354656 4059957452140224 4313704792898988 5112539013806208 5751606390531984 6001676233598592 7668808520709312 8119914904280448 8627409585797976 11503212781063968 15337617041418624 17254819171595952 23006425562127936 34509638343191904 46012851124255872 69019276686383808 138038553372767616
- Sum of all divisors σ(n): 464982237223096320
- Sum of proper divisors (its aliquot sum) s(n): 326943683850328704
- 138038553372767616 is an abundant number, because the sum of its proper divisors (326943683850328704) is greater than itself. Its abundance is 188905130477561088
Bases of 138038553372767616
- Binary: 1111010100110100101010101001110110001011110110101100000002
- Hexadecimal: 0x1EA69553B17B580
- Base-36: 11R6KZZ8BC00
Squares and roots of 138038553372767616
- 138038553372767616 squared (1380385533727676162) is 19054642217246413774754991538323456
- 138038553372767616 cubed (1380385533727676163) is 2630275246704360154962346708842393092040175330000896
-
The
square root of 138038553372767616 is 371535399.8918105999 -
The
cube root of 138038553372767616 is 516813.0440184147
Scales and comparisons
How big is 138038553372767616?- 138,038,553,372,767,616 seconds is equal to 4,389,199,015 years, 50 weeks, 4 days, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 138,038,553,372,767,616 would take you about thirteen billion, one hundred sixty-seven million, five hundred ninety-seven thousand and forty-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 138038553372767616 cubic inches would be around 43067.8 feet tall.
Recreational maths with 138038553372767616
- 138038553372767616 backwards is 616767273355830831
- 138038553372767616 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138038553372767616's digits is 81
- More coming soon!
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"Number 138038553372767616 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 138038553372767616 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/138038553372767616/
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The information we have on file for 138038553372767616 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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