138381961340800
138,381,961,340,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 138381961340800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
138381961340800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138381961340800:
27 × 52 × 192 × 31 × 41 × 3072
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 19 × 19 × 31 × 41 × 307 × 307)See below for interesting mathematical facts about the number 138381961340800 from the Numbermatics database.
Names of 138381961340800
- Cardinal: 138381961340800 can be written as One hundred thirty-eight trillion, three hundred eighty-one billion, nine hundred sixty-one million, three hundred forty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.383819613408 × 1014
Factors of 138381961340800
Divisors of 138381961340800
- Number of divisors d(n): 864
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Complete list of divisors:
1 2 4 5 8 10 16 19 20 25 31 32 38 40 41 50 62 64 76 80 82 95 100 124 128 152 155 160 164 190 200 205 248 304 307 310 320 328 361 380 400 410 475 496 589 608 614 620 640 656 722 760 775 779 800 820 950 992 1025 1178 1216 1228 1240 1271 1312 1444 1520 1535 1550 1558 1600 1640 1805 1900 1984 2050 2356 2432 2456 2480 2542 2624 2888 2945 3040 3070 3100 3116 3200 3280 3610 3800 3895 3968 4100 4712 4912 4960 5084 5248 5776 5833 5890 6080 6140 6200 6232 6355 6560 7220 7600 7675 7790 8200 9025 9424 9517 9824 9920 10168 11191 11552 11666 11780 12160 12280 12400 12464 12587 12710 13120 14440 14725 14801 15200 15350 15580 16400 18050 18848 19034 19475 19648 19840 20336 22382 23104 23332 23560 24149 24560 24800 24928 25174 25420 26240 28880 29165 29450 29602 30400 30700 31160 31775 32800 36100 37696 38068 38950 39296 40672 44764 46208 46664 47120 47585 48298 49120 49600 49856 50348 50840 55955 57760 58330 58900 59204 60800 61400 62320 62935 63550 65600 72200 74005 75392 76136 77900 81344 89528 93328 94240 94249 95170 96596 98240 99200 99712 100696 101680 110827 111910 115520 116660 117800 118408 120745 122800 124640 125870 127100 131200 144400 145825 148010 152272 155800 162688 179056 180823 186656 188480 188498 190340 193192 196480 201392 203360 221654 223820 231040 233320 235600 236816 237925 239153 241490 245600 249280 251740 254200 279775 288800 291650 296020 304544 311600 314675 358112 361646 370025 373312 376960 376996 380680 386384 390197 402784 406720 443308 447640 458831 466640 471200 471245 473632 475850 478306 482980 491200 498560 503480 508400 554135 559550 577600 583300 592040 603725 609088 623200 629350 716224 723292 740050 746624 753992 761360 772768 780394 805568 813440 886616 895280 904115 917662 933280 942400 942490 947264 951700 956612 965960 982400 1006960 1016800 1108270 1119100 1155200 1166600 1184080 1195765 1207450 1218176 1246400 1258700 1432448 1446584 1480100 1507984 1522720 1545536 1560788 1611136 1773232 1790560 1790731 1808230 1835324 1866560 1884800 1884980 1894528 1903400 1913224 1931920 1950985 2013920 2033600 2216540 2238200 2294155 2333200 2356225 2368160 2391530 2414900 2492800 2517400 2770675 2893168 2921719 2960200 3015968 3045440 3091072 3121576 3435637 3546464 3581120 3581462 3616460 3670648 3733120 3769960 3806800 3826448 3863840 3864209 3901970 4027840 4067200 4433080 4476400 4520575 4543907 4588310 4666400 4712450 4736320 4783060 4829800 5034800 5541350 5786336 5843438 5920400 5978825 6031936 6090880 6243152 6871274 7092928 7162240 7162924 7232920 7341296 7413743 7539920 7613600 7652896 7727680 7728418 7803940 8055680 8866160 8952800 8953655 9041150 9087814 9176620 9332800 9424900 9472640 9566120 9659600 9754925 10069600 11082700 11470775 11572672 11686876 11840800 11957650 12063872 12486304 13742548 14185856 14325848 14465840 14608595 14682592 14827486 15079840 15227200 15305792 15455360 15456836 15607880 17178185 17732320 17905600 17907310 18082300 18175628 18353240 18665600 18849800 19132240 19319200 19321045 19509850 20139200 22165400 22719535 22941550 23145344 23373752 23681600 23915300 24972608 27485096 28651696 28931680 29217190 29365184 29654972 30159680 30454400 30611584 30913672 31215760 34023889 34356370 35464640 35811200 35814620 36164600 36351256 36706480 37068715 37699600 38264480 38638400 38642090 39019700 40278400 44330800 44768275 45439070 45883100 46747504 47363200 47830600 49945216 54970192 55512661 57303392 57863360 58434380 58730368 59309944 60319360 61827344 62431520 68047778 68712740 70929280 71629240 72329200 72702512 73042975 73412960 73419971 74137430 75399200 76528960 77276800 77284180 78039400 85890925 88661600 89536550 90878140 91766200 93495008 95661200 96605225 109940384 111025322 113597675 114606784 115726720 116868760 118619888 119790479 123654688 124863040 136095556 137425480 140861117 143258480 144658400 145405024 146085950 146825920 146839942 148274860 150798400 153057920 154568360 156078800 170119445 171781850 177323200 179073100 181756280 183532400 185343575 186990016 191322400 193210450 219880768 222050644 227195350 229213568 233737520 237239776 239580958 247309376 249726080 272191112 274850960 277563305 281722234 286516960 289316800 290810048 292171900 293651840 293679884 296549720 301596800 309136720 312157600 340238890 343563700 354646400 358146200 363512560 367064800 367099855 370687150 373980032 382644800 386420900 439761536 444101288 454390700 467475040 474479552 479161916 494618752 544382224 549701920 555126610 563444468 573033920 578633600 581620096 584343800 587359768 593099440 598952395 618273440 624315200 680477780 687127400 704305585 716292400 727025120 734129600 734199710 741374300 765289600 772841800 850597225 888202576 908781400 934950080 948959104 958323832 1054740559 1088764448 1099403840 1110253220 1126888936 1146067840 1168687600 1174719536 1186198880 1197904790 1236546880 1248630400 1360955560 1374254800 1387816525 1394979449 1408611170 1432584800 1454050240 1468259200 1468399420 1482748600 1545683600 1701194450 1776405152 1817562800 1835499275 1869900160 1916647664 2109481118 2177528896 2198807680 2220506440 2253777872 2276019101 2337375200 2349439072 2372397760 2395809580 2473093760 2721911120 2748509600 2775633050 2789958898 2817222340 2865169600 2908100480 2936798840 2965497200 2994761975 3091367200 3402388900 3521527925 3552810304 3635125600 3670998550 3833295328 4218962236 4355057792 4441012880 4507555744 4552038202 4674750400 4698878144 4744795520 4791619160 5273702795 5443822240 5497019200 5551266100 5579917796 5634444680 5730339200 5873597680 5930994400 5989523950 6182734400 6804777800 6974897245 7043055850 7105620608 7270251200 7341997100 7666590656 8437924472 8882025760 9015111488 9104076404 9349500800 9397756288 9583238320 10547405590 10887644480 10994038400 11102532200 11159835592 11268889360 11380095505 11747195360 11861988800 11979047900 12365468800 13609555600 13949794490 14086111700 14540502400 14683994200 15333181312 16875848944 17764051520 18030222976 18208152808 19166476640 21094811180 21775288960 22205064400 22319671184 22537778720 22760191010 23494390720 23723977600 23958095800 26368513975 27219111200 27899588980 28172223400 29367988400 33751697888 34874486225 35528103040 36416305616 38332953280 42189622360 43244362919 44410128800 44639342368 45075557440 45520382020 46988781440 47916191600 52737027950 54438222400 55799177960 56344446800 56900477525 58735976800 67503395776 69748972450 72832611232 76665906560 84379244720 86488725838 88820257600 89278684736 90151114880 91040764040 95832383200 105474055900 108876444800 111598355920 112688893600 113800955050 117471953600 135006791552 139497944900 145665222464 168758489440 172977451676 177640515200 178557369472 182081528080 191664766400 210948111800 216221814595 223196711840 225377787200 227601910100 234943907200 278995889800 291330444928 337516978880 345954903352 364163056160 383329532800 421896223600 432443629190 446393423680 450755574400 455203820200 557991779600 675033957760 691909806704 728326112320 843792447200 864887258380 892786847360 910407640400 1081109072975 1115983559200 1383819613408 1456652224640 1687584894400 1729774516760 1820815280800 2162218145950 2231967118400 2767639226816 3375169788800 3459549033520 3641630561600 4324436291900 4463934236800 5535278453632 6919098067040 7283261123200 8648872583800 13838196134080 17297745167600 27676392268160 34595490335200 69190980670400 138381961340800
- Sum of all divisors σ(n): 382754057797440
- Sum of proper divisors (its aliquot sum) s(n): 244372096456640
- 138381961340800 is an abundant number, because the sum of its proper divisors (244372096456640) is greater than itself. Its abundance is 105990135115840
Bases of 138381961340800
- Binary: 111110111011011100011111010011000100111100000002
- Hexadecimal: 0x7DDB8FA62780
- Base-36: 1D1VSMV69S
Squares and roots of 138381961340800
- 138381961340800 squared (1383819613408002) is 19149567224526665733744640000
- 138381961340800 cubed (1383819613408003) is 2649954671357499811145774838499213312000000
-
The
square root of 138381961340800 is 11763586.2448829779 -
The
cube root of 138381961340800 is 51724.1259521851
Scales and comparisons
How big is 138381961340800?- 138,381,961,340,800 seconds is equal to 4,400,118 years, 17 weeks, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 138,381,961,340,800 would take you about eleven million, two hundred ninety-five 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 138381961340800 cubic inches would be around 4310.3 feet tall.
Recreational maths with 138381961340800
- 138381961340800 backwards is 008043169183831
- The number of decimal digits it has is: 15
- The sum of 138381961340800's digits is 55
- More coming soon!
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The information we have on file for 138381961340800 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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