138313367219599440
138,313,367,219,599,440 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138313367219599440 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 640 divisors.
138313367219599440 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 138313367219599440:
24 × 3 × 5 × 11 × 17 × 739 × 1163 × 3585809
(2 × 2 × 2 × 2 × 3 × 5 × 11 × 17 × 739 × 1163 × 3585809)See below for interesting mathematical facts about the number 138313367219599440 from the Numbermatics database.
Names of 138313367219599440
- Cardinal: 138313367219599440 can be written as One hundred thirty-eight quadrillion, three hundred thirteen trillion, three hundred sixty-seven billion, two hundred nineteen million, five hundred ninety-nine thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3831336721959944 × 1017
Factors of 138313367219599440
Divisors of 138313367219599440
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 30 33 34 40 44 48 51 55 60 66 68 80 85 88 102 110 120 132 136 165 170 176 187 204 220 240 255 264 272 330 340 374 408 440 510 528 561 660 680 739 748 816 880 935 1020 1122 1163 1320 1360 1478 1496 1870 2040 2217 2244 2326 2640 2805 2956 2992 3489 3695 3740 4080 4434 4488 4652 5610 5815 5912 6978 7390 7480 8129 8868 8976 9304 11085 11220 11630 11824 12563 12793 13956 14780 14960 16258 17445 17736 18608 19771 22170 22440 23260 24387 25126 25586 27912 29560 32516 34890 35472 37689 38379 39542 40645 44340 44880 46520 48774 50252 51172 55824 59120 59313 62815 63965 65032 69780 75378 76758 79084 81290 88680 93040 97548 98855 100504 102344 118626 121935 125630 127930 130064 138193 139560 150756 153516 158168 162580 177360 188445 191895 195096 197710 201008 204688 217481 237252 243870 251260 255860 276386 279120 296565 301512 307032 316336 325160 376890 383790 390192 395420 414579 434962 474504 487740 502520 511720 552772 593130 603024 614064 650320 652443 690965 753780 767580 790840 829158 859457 869924 949008 975480 1005040 1023440 1087405 1105544 1186260 1304886 1381930 1507560 1535160 1581680 1658316 1718914 1739848 1950960 2072895 2174810 2211088 2372520 2578371 2609772 2763860 3015120 3070320 3262215 3316632 3437828 3479696 3585809 4145790 4297285 4349620 4745040 5156742 5219544 5527720 6524430 6633264 6875656 7171618 8291580 8594570 8699240 9454027 10313484 10439088 10757427 11055440 12891855 13048860 13751312 14343236 14610769 16583160 17189140 17398480 17929045 18908054 20626968 21514854 25783710 26097720 28362081 28686472 29221538 33166320 34378280 35858090 37816108 39443899 41253936 43029708 43832307 47270135 51567420 52195440 53787135 56724162 57372944 58443076 60958753 68756560 71716180 73053845 75632216 78887798 86059416 87664614 94540270 103134840 107574270 113448324 116886152 118331697 121917506 141810405 143432360 146107690 151264432 157775596 160718459 172118832 175329228 182876259 189080540 197219495 206269680 215148540 219161535 226896648 233772304 236663394 243835012 283620810 286864720 292215380 304793765 315551192 321436918 350658456 365752518 378161080 394438990 430297080 438323070 453793296 473326788 482155377 487670024 567241620 584430760 591658485 609587530 631102384 642873836 670546283 701316912 731505036 756322160 788877980 803592295 860594160 876646140 914381295 946653576 964310754 975340048 1134483240 1168861520 1183316970 1219175060 1285747672 1341092566 1463010072 1577755960 1607184590 1753292280 1828762590 1893307152 1928621508 2011638849 2268966480 2366633940 2410776885 2438350120 2571495344 2649912851 2682185132 2926020144 3155511920 3214369180 3352731415 3506584560 3657525180 3857243016 4023277698 4170295867 4733267880 4821553770 4876700240 5299825702 5364370264 6428738360 6705462830 7315050360 7714486032 7949738553 8046555396 8340591734 9466535760 9643107540 10058194245 10599651404 10728740528 12510887601 12857476720 13249564255 13410925660 14630100720 15899477106 16093110792 16681183468 19286215080 20116388490 20851479335 21199302808 25021775202 26499128510 26821851320 29149041361 31798954212 32186221584 33362366936 38572430160 39748692765 40232776980 41702958670 42398605616 45048518467 45873254537 50043550404 52998257020 53643702640 58298082722 62554438005 63597908424 66724733872 70895029739 79497385530 80465553960 83405917340 87447124083 90097036934 91746509074 100087100808 105996514040 116596165444 125108876010 127195816848 135145555401 137619763611 141790059478 145745206805 158994771060 160931107920 166811834680 174894248166 180194073868 183493018148 200174201616 211993028080 212685089217 225242592335 229366272685 233192330888 250217752020 270291110802 275239527222 283580118956 291490413610 317989542120 333623669360 349788496332 354475148695 360388147736 366986036296 425370178434 437235620415 450485184670 458732545370 466384661776 495533703137 500435504040 540582221604 550479054444 567160237912 582980827220 635979084240 675727777005 688098818055 699576992664 708950297390 720776295472 733972072592 779845327129 850740356868 874471240830 900970369340 917465090740 991067406274 1000871008080 1063425446085 1081164443208 1100958108888 1134320475824 1165961654440 1351455554010 1376197636110 1399153985328 1417900594780 1486601109411 1559690654258 1701480713736 1748942481660 1801940738680 1834930181480 1982134812548 2126850892170 2162328886416 2201916217776 2331923308880 2339535981387 2477668515685 2702911108020 2752395272220 2835801189560 2973202218822 3081848645713 3119381308516 3402961427472 3497884963320 3603881477360 3669860362960 3899226635645 3964269625096 4253701784340 4679071962774 4955337031370 5405822216040 5504790544440 5671602379120 5946404437644 6163697291426 6238762617032 6995769926640 7433005547055 7798453271290 7928539250192 8507403568680 9245545937139 9358143925548 9910674062740 10811644432080 11009581088880 11697679906935 11892808875288 12327394582852 12477525234064 14866011094110 15409243228565 15596906542580 17014807137360 18491091874278 18716287851096 19821348125480 23395359813870 23785617750576 24654789165704 29732022188220 30818486457130 31193813085160 33900335102843 36982183748556 37432575702192 39642696250960 46227729685695 46790719627740 49309578331408 52391426977121 59464044376440 61636972914260 62387626170320 67800670205686 73964367497112 92455459371390 93581439255480 101701005308529 104782853954242 118928088752880 123273945828520 135601340411372 147928734994224 157174280931363 169501675514215 184910918742780 187162878510960 203402010617058 209565707908484 246547891657040 261957134885605 271202680822744 314348561862726 339003351028430 369821837485560 406804021234116 419131415816968 508505026542645 523914269771210 542405361645488 576305696748331 628697123725452 678006702056860 739643674971120 785871404656815 813608042468232 838262831633936 1017010053085290 1047828539542420 1152611393496662 1257394247450904 1356013404113720 1571742809313630 1627216084936464 1728917090244993 2034020106170580 2095657079084840 2305222786993324 2514788494901808 2712026808227440 2881528483741655 3143485618627260 3457834180489986 4068040212341160 4191314158169680 4610445573986648 5763056967483310 6286971237254520 6915668360979972 8136080424682320 8644585451224965 9220891147973296 11526113934966620 12573942474509040 13831336721959944 17289170902449930 23052227869933240 27662673443919888 34578341804899860 46104455739866480 69156683609799720 138313367219599440
- Sum of all divisors σ(n): 496362154260326400
- Sum of proper divisors (its aliquot sum) s(n): 358048787040726960
- 138313367219599440 is an abundant number, because the sum of its proper divisors (358048787040726960) is greater than itself. Its abundance is 219735419821127520
Bases of 138313367219599440
- Binary: 1111010110110001101000110010100001100111111111000010100002
- Hexadecimal: 0x1EB634650CFF850
- Base-36: 11TVZVPT8GUO
Squares and roots of 138313367219599440
- 138313367219599440 squared (1383133672195994402) is 19130587551623764923652874048313600
- 138313367219599440 cubed (1383133672195994403) is 2646015981154435557014476816774988583291399504384000
-
The
square root of 138313367219599440 is 371905051.3499372195 -
The
cube root of 138313367219599440 is 517155.7821634049
Scales and comparisons
How big is 138313367219599440?- 138,313,367,219,599,440 seconds is equal to 4,397,937,246 years, 12 weeks, 6 days, 6 hours, 4 minutes.
-
To count from 1 to 138,313,367,219,599,440 would take you about thirteen billion, one hundred ninety-three million, eight hundred eleven thousand, seven hundred thirty-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 138313367219599440 cubic inches would be around 43096.3 feet tall.
Recreational maths with 138313367219599440
- 138313367219599440 backwards is 044995912763313831
- The number of decimal digits it has is: 18
- The sum of 138313367219599440's digits is 78
- More coming soon!
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The information we have on file for 138313367219599440 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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