138199098268000
138,199,098,268,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138199098268000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3072 divisors.
138199098268000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 138199098268000:
25 × 53 × 7 × 113 × 31 × 37 × 53 × 61
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 11 × 11 × 11 × 31 × 37 × 53 × 61)See below for interesting mathematical facts about the number 138199098268000 from the Numbermatics database.
Names of 138199098268000
- Cardinal: 138199098268000 can be written as One hundred thirty-eight trillion, one hundred ninety-nine billion, ninety-eight million, two hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.38199098268 × 1014
Factors of 138199098268000
Divisors of 138199098268000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 31 32 35 37 40 44 50 53 55 56 61 62 70 74 77 80 88 100 106 110 112 121 122 124 125 140 148 154 155 160 175 176 185 200 212 217 220 224 242 244 248 250 259 265 275 280 296 305 308 310 341 350 352 370 371 385 400 407 424 427 434 440 484 488 496 500 518 530 550 560 583 592 605 610 616 620 671 682 700 740 742 770 775 800 814 847 848 854 868 875 880 925 968 976 992 1000 1036 1060 1085 1100 1120 1147 1166 1184 1210 1220 1232 1240 1295 1325 1331 1342 1364 1375 1400 1480 1484 1525 1540 1550 1628 1643 1694 1696 1705 1708 1736 1750 1760 1850 1855 1891 1925 1936 1952 1961 2000 2035 2072 2120 2135 2170 2200 2257 2294 2332 2387 2420 2440 2464 2480 2590 2650 2662 2684 2728 2750 2800 2849 2915 2960 2968 3025 3050 3080 3100 3233 3256 3286 3355 3388 3410 3416 3472 3500 3700 3710 3751 3782 3850 3872 3875 3922 4000 4070 4081 4144 4235 4240 4270 4340 4400 4477 4514 4588 4625 4664 4697 4774 4840 4880 4960 5180 5300 5324 5368 5425 5456 5500 5600 5698 5735 5830 5920 5936 6050 6100 6160 6200 6413 6466 6475 6512 6572 6625 6655 6710 6776 6820 6832 6944 7000 7381 7400 7420 7502 7564 7625 7700 7750 7844 8029 8140 8162 8215 8288 8470 8480 8525 8540 8680 8800 8954 9028 9176 9250 9275 9317 9328 9394 9455 9548 9625 9680 9760 9805 10175 10360 10600 10648 10675 10736 10850 10912 11000 11285 11396 11470 11501 11660 11872 11935 12100 12200 12320 12400 12617 12826 12932 12950 13024 13144 13237 13250 13310 13420 13552 13640 13664 13727 14000 14245 14575 14762 14800 14840 15004 15125 15128 15250 15400 15500 15688 15799 16058 16165 16280 16324 16430 16775 16940 17050 17080 17360 17908 18056 18073 18352 18500 18550 18634 18656 18755 18788 18910 19096 19250 19360 19610 20350 20405 20720 20801 21175 21200 21296 21350 21472 21571 21700 22000 22385 22570 22631 22792 22940 23002 23320 23485 23870 24200 24400 24800 24827 25234 25652 25864 25900 26257 26288 26474 26500 26620 26840 27104 27125 27280 27454 28000 28490 28675 29150 29524 29600 29680 30008 30250 30256 30500 30800 31000 31339 31376 31598 32065 32116 32330 32375 32560 32648 32860 33275 33550 33880 34100 34160 34720 35563 35816 36112 36146 36704 36905 37000 37100 37268 37510 37576 37820 38192 38500 39220 40145 40700 40810 41075 41261 41440 41602 42350 42400 42592 42625 42700 43142 43400 44000 44770 44891 45140 45262 45584 45880 46004 46375 46585 46640 46970 47275 47740 48400 48800 49025 49247 49654 50468 50875 51304 51667 51728 51800 52514 52576 52948 53000 53240 53375 53680 54250 54560 54908 56425 56980 57350 57505 58300 59048 59360 59675 60016 60500 60512 60791 61000 61600 62000 62678 62752 63085 63196 64130 64232 64660 64750 65120 65296 65720 66185 66550 67100 67760 68200 68320 68635 69967 70543 71126 71225 71632 72224 72292 72875 73810 74000 74200 74536 75020 75152 75640 76384 77000 78440 78995 80290 80825 81191 81400 81620 82150 82522 83204 83875 84700 85250 85400 86284 86800 88319 89540 89782 90280 90365 90524 91168 91760 92008 92750 93170 93280 93775 93940 94550 95480 96800 98050 98494 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7237070500 7308254800 7355711000 7368653600 7407756125 7416502000 7450086160 7470221528 7530465250 7646716000 7653915500 7717171000 7960777550 8091282100 8105518960 8158152200 8238396320 8411387600 8466007000 8488888100 8549279200 8606246000 8747332000 8809223500 8916070856 8973967420 9062235952 9135318500 9137130464 9210817000 9312607700 9337776910 9361814000 9481927840 9701586400 9871364162 10067684000 10114102625 10131898700 10197690250 10297995400 10383102800 10430120624 10440364000 10514234500 10611110125 10671745040 10686599000 10774918000 10953404000 11145088570 11217459275 11327794940 11421413080 11579312800 11640759625 11852409800 12016268000 12048744400 12126983000 12246264800 12563554388 12664873375 12737244080 12872494250 12946051360 12978878500 13037650780 13339681300 13582220960 14094757600 14159743675 14276766350 14358347872 14474141000 14616509600 14711422000 14815512250 14833004000 14900172320 14940443056 15060930500 15307831000 15434342000 15704442985 15921555100 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42746396000 44580354280 44869837100 45311179760 45685652320 46563038500 46688884550 47409639200 48507932000 49356820810 50254217552 50659493500 51489977000 51915514000 52150603120 53358725200 55725442850 56087296375 56638974700 57107065400 57896564000 59262049000 60243722000 61231324000 62817771940 63686220400 64730256800 65188253900 66698406500 67911104800 69099549134 70473788000 70798718375 71383831750 71791739360 73082548000 74500861600 74702215280 78522214925 78970913296 79607775500 80912821000 81055189600 81485317375 81581522000 84113876000 84888881000 89160708560 89739674200 90622359520 93126077000 93377769100 98713641620 100508435104 101318987000 102979954000 103831028000 104301206240 106717450400 111450885700 112174592750 113277949400 114214130800 116722211375 118524098000 120487444000 123392052025 125635543880 127372440800 130376507800 133396813000 138199098268 139313607125 141597436750 142767663500 149404430560 157044429850 157941826592 159215551000 161825642000 162970634750 163163044000 169777762000 172748872835 178321417120 179479348400 186252154000 186755538200 197427283240 202637974000 205959908000 222901771400 224349185500 226555898800 228428261600 233444422750 237048196000 246784104050 251271087760 260753015600 266793626000 276398196536 278627214250 283194873500 285535327000 314088859700 318431102000 323651284000 325941269500 339555524000 345497745670 358958696800 372504308000 373511076400 392611074625 394854566480 405275948000 445803542800 448698371000 453111797600 466888845500 493568208100 502542175520 521506031200 533587252000 552796393072 557254428500 566389747000 571070654000 616960260125 628177719400 636862204000 651882539000 690995491340 747022152800 785222149250 789709132960 863744364175 891607085600 897396742000 933777691000 987136416200 1105592786144 1114508857000 1132779494000 1142141308000 1233920520250 1256355438800 1303765078000 1381990982680 1570444298500 1727488728350 1794793484000 1867555382000 1974272832400 2229017714000 2265558988000 2467841040500 2512710877600 2607530156000 2763981965360 3140888597000 3454977456700 3735110764000 3948545664800 4318721820875 4458035428000 4935682081000 5527963930720 6281777194000 6909954913400 8637443641750 9871364162000 12563554388000 13819909826800 17274887283500 19742728324000 27639819653600 34549774567000 69099549134000 138199098268000
- Sum of all divisors σ(n): 468613974786048
- Sum of proper divisors (its aliquot sum) s(n): 330414876518048
- 138199098268000 is an abundant number, because the sum of its proper divisors (330414876518048) is greater than itself. Its abundance is 192215778250048
Bases of 138199098268000
- Binary: 111110110110000111111000010100100011001011000002
- Hexadecimal: 0x7DB0FC291960
- Base-36: 1CZJSEWW9S
Squares and roots of 138199098268000
- 138199098268000 squared (1381990982680002) is 19098990762088320599824000000
- 138199098268000 cubed (1381990982680003) is 2639463301149468027470165679504832000000000
-
The
square root of 138199098268000 is 11755811.2552048061 -
The
cube root of 138199098268000 is 51701.3325143201
Scales and comparisons
How big is 138199098268000?- 138,199,098,268,000 seconds is equal to 4,394,303 years, 44 weeks, 7 hours, 46 minutes, 40 seconds.
-
To count from 1 to 138,199,098,268,000 would take you about ten million, nine hundred eighty-five thousand, seven hundred fifty-nine 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 138199098268000 cubic inches would be around 4308.4 feet tall.
Recreational maths with 138199098268000
- 138199098268000 backwards is 000862890991831
- The number of decimal digits it has is: 15
- The sum of 138199098268000's digits is 64
- More coming soon!
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"Number 138199098268000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 138199098268000 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/138199098268000/
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The information we have on file for 138199098268000 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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