138226176972800
138,226,176,972,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 138226176972800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1080 divisors.
138226176972800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 138226176972800:
211 × 52 × 74 × 732 × 211
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 7 × 73 × 73 × 211)See below for interesting mathematical facts about the number 138226176972800 from the Numbermatics database.
Names of 138226176972800
- Cardinal: 138226176972800 can be written as One hundred thirty-eight trillion, two hundred twenty-six billion, one hundred seventy-six million, nine hundred seventy-two thousand, eight hundred.
Scientific notation
- Scientific notation: 1.382261769728 × 1014
Factors of 138226176972800
Divisors of 138226176972800
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 73 80 98 100 112 128 140 146 160 175 196 200 211 224 245 256 280 292 320 343 350 365 392 400 422 448 490 511 512 560 584 640 686 700 730 784 800 844 896 980 1022 1024 1055 1120 1168 1225 1280 1372 1400 1460 1477 1568 1600 1688 1715 1792 1825 1960 2044 2048 2110 2240 2336 2401 2450 2555 2560 2744 2800 2920 2954 3136 3200 3376 3430 3577 3584 3650 3920 4088 4220 4480 4672 4802 4900 5110 5120 5275 5329 5488 5600 5840 5908 6272 6400 6752 6860 7154 7168 7300 7385 7840 8176 8440 8575 8960 9344 9604 9800 10220 10240 10339 10550 10658 10976 11200 11680 11816 12005 12544 12775 12800 13504 13720 14308 14336 14600 14770 15403 15680 16352 16880 17150 17885 17920 18688 19208 19600 20440 20678 21100 21316 21952 22400 23360 23632 24010 25039 25088 25550 25600 26645 27008 27440 28616 29200 29540 30806 31360 32704 33760 34300 35770 35840 36925 37303 37376 38416 39200 40880 41356 42200 42632 43904 44800 46720 47264 48020 50078 50176 51100 51200 51695 53290 54016 54880 57232 58400 59080 60025 61612 62720 65408 67520 68600 71540 71680 72373 73850 74606 74752 76832 77015 78400 81760 82712 84400 85264 87808 89425 89600 93440 94528 96040 100156 100352 102200 103390 106580 107821 108032 109760 114464 116800 118160 120050 123224 125195 125440 130816 133225 135040 137200 143080 144746 147700 149212 149504 153664 154030 156800 163520 165424 168800 170528 175273 175616 178850 179200 186515 186880 189056 192080 200312 204400 206780 213160 215642 216064 219520 228928 233600 236320 240100 246448 250390 250880 258475 261121 261632 266450 270080 274400 286160 289492 295400 298424 307328 308060 313600 327040 330848 337600 341056 350546 351232 357700 358400 361865 373030 373760 378112 384160 385075 400624 408800 413560 426320 431284 432128 439040 457856 467200 472640 480200 492896 500780 501760 506611 516950 522242 523264 532900 539105 540160 548800 572320 578984 590800 596848 614656 616120 625975 627200 654080 661696 675200 682112 701092 702464 715400 723730 746060 747520 754747 756224 768320 770150 801248 817600 827120 852640 862568 876365 878080 915712 932575 934400 945280 960400 985792 1001560 1013222 1033900 1044484 1046528 1065800 1078210 1080320 1097600 1124419 1144640 1157968 1181600 1193696 1229312 1232240 1251950 1254400 1305605 1308160 1323392 1350400 1364224 1402184 1430800 1447460 1492120 1509494 1512448 1536640 1540300 1602496 1635200 1654240 1705280 1725136 1752730 1756160 1809325 1827847 1831424 1865150 1868800 1890560 1920800 1971584 2003120 2026444 2067800 2088968 2131600 2156420 2160640 2195200 2248838 2289280 2315936 2363200 2387392 2458624 2464480 2503900 2508800 2533055 2611210 2616320 2646784 2695525 2700800 2728448 2804368 2861600 2894920 2984240 3018988 3024896 3073280 3080600 3204992 3270400 3308480 3410560 3450272 3505460 3512320 3618650 3655694 3662848 3730300 3737600 3773735 3781120 3841600 3943168 4006240 4052888 4135600 4177936 4263200 4312840 4381825 4390400 4497676 4578560 4631872 4726400 4774784 4917248 4928960 5007800 5066110 5222420 5232640 5283229 5293568 5391050 5401600 5456896 5608736 5622095 5723200 5789840 5968480 6037976 6146560 6161200 6409984 6528025 6540800 6616960 6821120 6900544 7010920 7237300 7311388 7325696 7460600 7547470 7562240 7683200 7870933 7886336 8012480 8105776 8271200 8355872 8526400 8625680 8763650 8780800 8995352 9139235 9157120 9263744 9452800 9549568 9857920 10015600 10132220 10444840 10566458 10587136 10782100 10803200 10913792 11217472 11244190 11446400 11579680 11936960 12075952 12293120 12322400 12665275 12794929 12819968 13056050 13081600 13233920 13642240 13801088 14021840 14474600 14622776 14921200 15094940 15124480 15366400 15741866 15772672 16024960 16211552 16542400 16711744 17052800 17251360 17527300 17561600 17990704 18278470 18314240 18527488 18868675 18905600 19099136 19715840 20031200 20264440 20889680 21132916 21174272 21564200 22434944 22488380 22892800 23159360 23873920 24151904 24586240 24644800 25330550 25589858 25639936 26112100 26163200 26416145 26467840 27284480 27602176 28043680 28110475 28949200 29245552 29842400 30189880 30732800 31483732 31545344 32049920 32423104 33084800 33423488 34105600 34502720 35054600 35981408 36556940 36628480 36982603 37054976 37737350 37811200 38198272 39354665 39431680 40062400 40528880 41779360 42265832 43128400 44869888 44976760 45696175 45785600 46318720 47747840 48303808 49289600 50661100 51179716 51279872 52224200 52832290 52935680 54568960 55096531 55204352 56087360 56220950 57898400 58491104 59684800 60379760 61465600 62967464 63974645 64099840 64846208 66169600 66846976 68211200 69005440 70109200 71962816 73113880 73965206 74109952 75474700 75622400 76396544 78709330 78863360 80124800 81057760 83558720 84531664 86256800 89739776 89953520 91392350 91571200 92637440 95495680 96607616 98579200 101322200 102359432 104448400 105664580 105871360 110193062 110408704 112174720 112441900 115796800 116982208 119369600 120759520 122931200 125934928 127949290 128199680 129692416 132080725 132339200 133693952 136422400 138010880 140218400 143925632 146227760 147930412 148219904 150949400 157418660 157726720 160249600 162115520 167117440 169063328 172513600 179479552 179907040 182784700 183142400 184913015 185274880 190991360 193215232 196773325 197158400 202644400 204718864 208896800 211329160 220386124 220817408 224349440 224883800 231593600 233964416 238739200 241519040 251869856 255898580 256399360 259384832 264161450 264678400 267387904 272844800 275482655 276021760 280436800 287851264 292455520 295860824 301898800 314837320 319873225 320499200 324231040 334234880 338126656 345027200 358959104 359814080 365569400 369826030 370549760 381982720 385675717 386430464 393546650 394316800 405288800 409437728 417793600 422658320 440772248 448698880 449767600 463187200 467928832 477478400 483038080 503739712 511797160 518769664 528322900 529356800 534775808 550965310 552043520 560873600 575702528 584911040 591721648 603797600 629674640 639746450 640998400 648462080 668469760 676253312 690054400 719628160 731138800 739652060 741099520 771351434 772860928 787093300 788633600 810577600 818875456 835587200 845316640 881544496 897397760 899535200 924565075 926374400 935857664 954956800 966076160 1007479424 1023594320 1037539328 1056645800 1101930620 1104087040 1121747200 1151405056 1169822080 1183443296 1207595200 1259349280 1279492900 1281996800 1296924160 1336939520 1352506624 1377413275 1380108800 1439256320 1462277600 1479304120 1542702868 1545721856 1574186600 1621155200 1637750912 1671174400 1690633280 1763088992 1794795520 1799070400 1849130150 1852748800 1871715328 1909913600 1928378585 1932152320 2014958848 2047188640 2113291600 2203861240 2243494400 2302810112 2339644160 2366886592 2415190400 2518698560 2558985800 2593848320 2673879040 2699730019 2705013248 2754826550 2760217600 2878512640 2924555200 2958608240 3085405736 3148373200 3242310400 3275501824 3342348800 3381266560 3526177984 3598140800 3698260300 3705497600 3743430656 3856757170 3864304640 4029917696 4094377280 4226583200 4407722480 4486988800 4679288320 4733773184 4830380800 5037397120 5117971600 5187696640 5399460038 5410026496 5509653100 5520435200 5757025280 5849110400 5917216480 6170811472 6296746400 6484620800 6551003648 6684697600 6762533120 7052355968 7196281600 7396520600 7713514340 7728609280 8059835392 8188754560 8453166400 8815444960 8973977600 9358576640 9467546368 9641892925 9660761600 10074794240 10235943200 10798920076 10820052992 11019306200 11514050560 11698220800 11834432960 12341622944 12593492800 12969241600 13102007296 13369395200 13498650095 13525066240 14104711936 14392563200 14793041200 15427028680 16119670784 16377509120 16906332800 17630889920 18717153280 18935092736 19283785850 19321523200 20149588480 20471886400 21597840152 22038612400 23396441600 23668865920 24683245888 25186985600 25938483200 26204014592 26997300190 27050132480 28209423872 28785126400 29586082400 30854057360 32755018240 33812665600 35261779840 37870185472 38567571700 38643046400 40299176960 40943772800 43195680304 44077224800 46792883200 47337731840 49366491776 50373971200 53994600380 54100264960 56418847744 57570252800 59172164800 61708114720 65510036480 67493250475 67625331200 70523559680 75740370944 77135143400 80598353920 81887545600 86391360608 88154449600 93585766400 94675463680 98732983552 100747942400 107989200760 112837695488 118344329600 123416229440 131020072960 134986500950 135250662400 141047119360 154270286800 163775091200 172782721216 176308899200 189350927360 197465967104 201495884800 215978401520 236688659200 246832458880 269973001900 270501324800 282094238720 308540573600 327550182400 345565442432 352617798400 378701854720 394931934208 402991769600 431956803040 473377318400 493664917760 539946003800 564188477440 617081147200 655100364800 691130884864 705235596800 789863868416 863913606080 946754636800 987329835520 1079892007600 1234162294400 1382261769728 1410471193600 1727827212160 1893509273600 1974659671040 2159784015200 2468324588800 2764523539456 2820942387200 3455654424320 3949319342080 4319568030400 4936649177600 5529047078912 6911308848640 8639136060800 9873298355200 13822617697280 17278272121600 19746596710400 27645235394560 34556544243200 69113088486400 138226176972800
- Sum of all divisors σ(n): 407286051829020
- Sum of proper divisors (its aliquot sum) s(n): 269059874856220
- 138226176972800 is an abundant number, because the sum of its proper divisors (269059874856220) is greater than itself. Its abundance is 130833697883420
Bases of 138226176972800
- Binary: 111110110110111010010100010110101011000000000002
- Hexadecimal: 0x7DB74A2D5800
- Base-36: 1CZW88VIM8
Squares and roots of 138226176972800
- 138226176972800 squared (1382261769728002) is 19106476000515824971939840000
- 138226176972800 cubed (1382261769728003) is 2641015132973856366658345917954916352000000
-
The
square root of 138226176972800 is 11756962.9144945421 -
The
cube root of 138226176972800 is 51704.7090768531
Scales and comparisons
How big is 138226176972800?- 138,226,176,972,800 seconds is equal to 4,395,164 years, 45 weeks, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 138,226,176,972,800 would take you about ten million, nine hundred eighty-seven thousand, nine hundred twelve 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 138226176972800 cubic inches would be around 4308.7 feet tall.
Recreational maths with 138226176972800
- 138226176972800 backwards is 008279671622831
- The number of decimal digits it has is: 15
- The sum of 138226176972800's digits is 62
- More coming soon!
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The information we have on file for 138226176972800 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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