138363271744320
138,363,271,744,320 is an even composite number composed of seven prime numbers multiplied together.
138363271744320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 138363271744320:
26 × 33 × 5 × 72 × 17 × 2412 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 17 × 241 × 241 × 331)See below for interesting mathematical facts about the number 138363271744320 from the Numbermatics database.
Names of 138363271744320
- Cardinal: 138363271744320 can be written as One hundred thirty-eight trillion, three hundred sixty-three billion, two hundred seventy-one million, seven hundred forty-four thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3836327174432 × 1014
Factors of 138363271744320
Divisors of 138363271744320
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 27 28 30 32 34 35 36 40 42 45 48 49 51 54 56 60 63 64 68 70 72 80 84 85 90 96 98 102 105 108 112 119 120 126 135 136 140 144 147 153 160 168 170 180 189 192 196 204 210 216 224 238 240 241 245 252 255 270 272 280 288 294 306 315 320 331 336 340 357 360 378 392 408 420 432 441 448 459 476 480 482 490 504 510 540 544 560 576 588 595 612 630 662 672 680 714 720 723 735 756 765 784 816 833 840 864 882 918 945 952 960 964 980 993 1008 1020 1071 1080 1088 1120 1176 1190 1205 1224 1260 1323 1324 1344 1360 1428 1440 1446 1470 1512 1530 1568 1632 1655 1666 1680 1687 1728 1764 1785 1836 1890 1904 1928 1960 1986 2016 2040 2142 2160 2169 2205 2240 2295 2317 2352 2380 2410 2448 2499 2520 2646 2648 2720 2856 2880 2892 2940 2979 3024 3060 3136 3213 3264 3310 3332 3360 3374 3528 3570 3615 3672 3780 3808 3856 3920 3972 4032 4080 4097 4165 4284 4320 4338 4410 4590 4634 4704 4760 4820 4896 4965 4998 5040 5061 5292 5296 5355 5440 5627 5712 5784 5880 5958 6048 6120 6426 6507 6615 6620 6664 6720 6748 6951 7056 7140 7230 7344 7497 7560 7616 7712 7840 7944 8160 8194 8330 8435 8568 8640 8676 8820 8937 9180 9268 9408 9520 9640 9792 9930 9996 10080 10122 10584 10592 10710 10845 11254 11424 11568 11585 11760 11809 11916 12096 12240 12291 12495 12852 13014 13230 13240 13328 13496 13902 14112 14280 14460 14688 14895 14994 15120 15183 15424 15680 15888 16065 16219 16320 16388 16660 16870 16881 17136 17352 17640 17874 18360 18536 19040 19280 19860 19992 20160 20244 20485 20853 21168 21184 21420 21690 22491 22508 22848 23136 23170 23520 23618 23832 24480 24582 24990 25305 25704 26028 26460 26480 26656 26992 27804 28135 28224 28560 28679 28920 29376 29790 29988 30240 30366 31776 32130 32438 32535 32776 33320 33740 33762 34272 34704 34755 35280 35427 35748 36720 36873 37072 37485 38080 38560 39389 39720 39984 40488 40970 41706 42336 42840 43380 44685 44982 45016 45549 46272 46340 47040 47236 47664 48657 48960 49164 49980 50610 50643 51408 52056 52920 52960 53312 53984 55608 56270 57120 57358 57840 58081 59045 59580 59976 60480 60732 61455 62559 63552 64260 64876 65070 65552 66640 67480 67524 68544 69408 69510 70560 70854 71496 73440 73746 74144 74970 75915 77120 78778 79440 79771 79968 80976 81095 81940 83412 84405 84672 85680 86037 86760 89370 89964 90032 91098 92680 94472 95328 97314 98328 99960 101220 101286 102816 104112 104265 105840 105920 106281 107968 110619 111216 112455 112540 114240 114716 115680 116162 118090 118167 119160 119952 121464 122910 125118 128520 129752 130140 131104 133280 134960 135048 138816 139020 141120 141708 142992 143395 145971 146880 147492 148288 149940 151830 151929 157556 158880 159542 159936 161952 162190 163880 166824 168810 171360 172074 173520 174243 177135 178740 179928 180064 182196 184365 185360 188944 190656 194628 196656 196945 199920 200753 202440 202572 205632 208224 208530 211680 212562 221238 222432 224910 225080 227745 229432 231360 232324 236180 236334 238320 239313 239904 242928 243285 245820 250236 253215 257040 258111 259504 260280 262208 266560 269920 270096 275723 278040 283416 285984 286790 290405 291942 294984 299880 303660 303858 312795 315112 317760 318843 319084 323904 324380 327760 333648 337620 342720 344148 347040 348486 354270 354501 357480 359856 360128 364392 368730 370720 377888 389256 393312 393890 398855 399840 401506 404880 405144 406567 416448 417060 423360 425124 430185 437913 442476 444864 449820 450160 455490 458864 464648 472360 472668 476640 478626 479808 485856 486570 491640 500472 506430 514080 516222 519008 520560 522729 531405 539840 540192 551446 553095 556080 558397 566832 571968 573580 580810 583884 589968 590835 599760 602259 607320 607716 625590 630224 637686 638168 648760 655520 667296 675240 688296 694080 696972 708540 709002 714960 717939 719712 728784 729855 737460 741440 755776 759645 774333 778512 786624 787780 797710 799680 803012 809760 810288 813134 827169 834120 850248 860370 871215 875826 884952 899640 900320 910980 917728 929296 944720 945336 953280 957252 971712 973140 983280 987377 1000944 1003765 1012860 1028160 1032444 1038016 1041120 1045458 1062810 1063503 1080384 1102892 1106190 1112160 1116794 1133664 1147160 1161620 1167768 1179936 1181670 1196565 1199520 1204518 1214640 1215432 1219701 1251180 1260448 1275372 1276336 1290555 1297520 1311040 1334592 1350480 1356107 1376592 1378615 1393944 1417080 1418004 1429920 1435878 1439424 1457568 1459710 1474920 1519290 1548666 1557024 1568187 1575560 1594215 1595420 1606024 1619520 1620576 1626268 1654338 1668240 1675191 1700496 1720740 1742430 1751652 1769904 1772505 1799280 1800640 1806777 1821960 1835456 1858592 1889440 1890672 1914504 1946280 1966560 1974754 2001888 2007530 2025720 2032835 2064888 2082240 2090916 2125620 2127006 2153817 2189565 2205784 2212380 2224320 2233588 2267328 2294320 2323240 2335536 2359872 2363340 2393130 2399040 2409036 2429280 2430864 2439402 2481507 2502360 2520896 2550744 2552672 2581110 2595040 2613645 2700960 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781117632 794082240 797390916 804091680 807442062 819639072 829396680 844296264 853093728 854347410 865116495 867252960 870866514 878184720 910710080 911303904 922790928 933071265 938106960 942015739 947881920 964910016 967629460 976397040 980465361 995276016 996738645 1024548840 1025216892 1038139794 1055370330 1063187888 1066367160 1076589416 1105862240 1125728352 1139129880 1153488660 1161155352 1170912960 1171676448 1191123360 1196086374 1206137520 1211163093 1229458608 1230387904 1244095020 1250809280 1281521115 1301862720 1306299771 1307287148 1327034688 1328984860 1345736770 1366065120 1366955856 1384186392 1407160440 1421822880 1451444190 1464595560 1492914024 1518839840 1536823260 1537984880 1548207136 1594781832 1608183360 1614884124 1634108935 1639278144 1658793360 1688592528 1706187456 1708694820 1730232990 1734505920 1741733028 1756369440 1794129561 1822607808 1845581856 1866142530 1876213920 1884031478 1935258920 1952794080 1960930722 1990552032 1993477290 2018605155 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5652094434 5805776760 5858382240 5882792166 5971656096 5980431870 6055815465 6147293040 6151939520 6379127328 6459536496 6531498855 6536435740 6635173440 6754370112 6834779280 6863257527 6920931960 6966932112 7176518244 7266978558 7464570120 7536125912 7741035680 7843722888 7973909160 8074420620 8196390720 8201735136 8305118352 8442962640 8478141651 8530937280 8612715328 8708665140 8824188249 8970647805 9113039040 9151010036 9227909280 9289242816 9420157390 9568690992 9689304744 9804653610 9952760160 10252168920 10381397940 10450398168 10458297184 10631878880 10765894160 11073491136 11257283520 11304188868 11438762545 11611553520 11716764480 11765584332 11943312192 11960863740 12111630930 12294586080 12758254656 12919072992 13062997710 13072871480 13669558560 13726515054 13841863920 13933864224 14130236085 14353036488 14533957116 14706980415 14929140240 15072251824 15482071360 15687445776 15947818320 16014267563 16148841240 16403470272 16610236704 16885925280 16956283302 17417330280 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64057070252 64595364960 67825133208 68632575270 69669321120 70593505992 71765182440 72669785580 73208080288 75361259120 77514437952 78437228880 80071337815 82017351360 82359090324 83051183520 83603185344 84781416510 88241882490 90433510944 91510100360 94124674656 95686909920 96085605378 96893047440 101737699812 102948862905 104503981680 104582971840 109812120432 113041888680 114824291904 116271656928 117655843320 123538635486 127172124765 128114140504 129190729920 135650266416 137265150540 139338642240 141187011984 143530364880 144128408067 145339571160 146416160576 150722518240 156874457760 160142675630 164718180648 166102367040 169562833020 176483764980 180867021888 183020200720 188249349312 191373819840 192171210756 193786094880 203475399624 205897725810 209007963360 219624240864 226083777360 232543313856 235311686640 240214013445 247077270972 254344249530 256228281008 271300532832 274530301080 282374023968 287060729760 288256816134 290679142320 301445036480 308846588715 313748915520 320285351260 329436361296 339125666040 352967529960 366040401440 384342421512 387572189760 406950799248 411795451620 418015926720 432385224201 439248481728 452167554720 470623373280 480428026890 494154541944 508688499060 512456562016 542601065664 549060602160 564748047936 574121459520 576513632268 581358284640 617693177430 640570702520 658872722592 678251332080 705935059920 720642040335 732080802880 768684843024 813901598496 823590903240 864770448402 904335109440 941246746560 960856053780 988309083888 1017376998120 1024913124032 1098121204320 1153027264536 1162716569280 1235386354860 1281141405040 1317745445184 1356502664160 1411870119840 1441284080670 1537369686048 1627803196992 1647181806480 1729540896804 1921712107560 1976618167776 2034753996240 2161926121005 2196242408640 2306054529072 2470772709720 2562282810080 2713005328320 2823740239680 2882568161340 3074739372096 3294363612960 3459081793608 3843424215120 3953236335552 4069507992480 4323852242010 4612109058144 4941545419440 5124565620160 5765136322680 6588727225920 6918163587216 7686848430240 8139015984960 8647704484020 9224218116288 9883090838880 11530272645360 13836327174432 15373696860480 17295408968040 19766181677760 23060545290720 27672654348864 34590817936080 46121090581440 69181635872160 138363271744320
- Sum of all divisors σ(n): 605536410545280
- Sum of proper divisors (its aliquot sum) s(n): 467173138800960
- 138363271744320 is an abundant number, because the sum of its proper divisors (467173138800960) is greater than itself. Its abundance is 328809867056640
Bases of 138363271744320
- Binary: 111110111010111001101011010100110001011010000002
- Hexadecimal: 0x7DD735A98B40
- Base-36: 1D1N7JK9C0
Squares and roots of 138363271744320
- 138363271744320 squared (1383632717443202) is 19144394967792541295452262400
- 138363271744320 cubed (1383632717443203) is 2648881123309271725468696787045338349568000
-
The
square root of 138363271744320 is 11762791.8346079729 -
The
cube root of 138363271744320 is 51721.7972609873
Scales and comparisons
How big is 138363271744320?- 138,363,271,744,320 seconds is equal to 4,399,524 years, 2 weeks, 6 days, 7 hours, 12 minutes.
-
To count from 1 to 138,363,271,744,320 would take you about ten million, nine hundred ninety-eight thousand, eight 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 138363271744320 cubic inches would be around 4310.1 feet tall.
Recreational maths with 138363271744320
- 138363271744320 backwards is 023447172363831
- 138363271744320 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138363271744320's digits is 54
- More coming soon!
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MLA style:
"Number 138363271744320 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
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Numbermatics. (2024). Number 138363271744320 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/138363271744320/
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The information we have on file for 138363271744320 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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