138232363443200
138,232,363,443,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138232363443200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1056 divisors.
138232363443200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 138232363443200:
210 × 52 × 13 × 23 × 137 × 193 × 683
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 23 × 137 × 193 × 683)See below for interesting mathematical facts about the number 138232363443200 from the Numbermatics database.
Names of 138232363443200
- Cardinal: 138232363443200 can be written as One hundred thirty-eight trillion, two hundred thirty-two billion, three hundred sixty-three million, four hundred forty-three thousand, two hundred.
Scientific notation
- Scientific notation: 1.382323634432 × 1014
Factors of 138232363443200
Divisors of 138232363443200
- Number of divisors d(n): 1056
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 23 25 26 32 40 46 50 52 64 65 80 92 100 104 115 128 130 137 160 184 193 200 208 230 256 260 274 299 320 325 368 386 400 416 460 512 520 548 575 598 640 650 683 685 736 772 800 832 920 965 1024 1040 1096 1150 1196 1280 1300 1366 1370 1472 1495 1544 1600 1664 1781 1840 1930 2080 2192 2300 2392 2509 2560 2600 2732 2740 2944 2990 3088 3151 3200 3328 3415 3425 3562 3680 3860 4160 4384 4439 4600 4784 4825 5018 5120 5200 5464 5480 5888 5980 6176 6302 6400 6656 6830 6850 7124 7360 7475 7720 8320 8768 8878 8879 8905 9200 9568 9650 10036 10400 10928 10960 11776 11960 12352 12545 12604 12800 13312 13660 13700 14248 14720 14950 15440 15709 15755 16640 17075 17536 17756 17758 17810 18400 19136 19300 20072 20800 21856 21920 22195 23552 23920 24704 25090 25208 25600 26441 27320 27400 28496 29440 29900 30880 31418 31510 33280 34150 35072 35512 35516 35620 36800 38272 38600 40144 40963 41600 43712 43840 44390 44395 44525 47840 49408 50180 50416 52882 54640 54800 56992 57707 58880 59800 61760 62725 62836 63020 66560 68300 70144 71024 71032 71240 73600 76544 77200 78545 78775 80288 81926 83200 87424 87680 88780 88790 89050 93571 95680 98816 100360 100832 105764 109280 109600 110975 113984 115414 117760 119600 123520 125450 125672 126040 131819 132205 136600 140288 142048 142064 142480 147200 153088 154400 157090 157550 160576 163852 166400 174848 175360 177560 177580 178100 187142 191360 197632 200720 201664 204217 204815 211528 218560 219200 221950 221975 227968 230828 239200 247040 250900 251344 252080 263638 264410 273200 284096 284128 284960 288535 294400 306176 308800 314180 315100 321152 327704 332800 343733 349696 350720 355120 355160 356200 374284 382720 392725 401440 403328 408434 409630 423056 437120 438400 443900 443950 455936 461656 467855 478400 494080 501800 502688 504160 527276 528820 546400 568192 568256 569920 577070 588800 608143 617600 628360 630200 642304 655408 659095 661025 687466 699392 701440 710240 710320 712400 748568 765440 785450 802880 806656 816868 819260 846112 874240 876800 887800 887900 911872 923312 935710 956800 988160 1003600 1005376 1008320 1021085 1024075 1054552 1057640 1092800 1136384 1136512 1139840 1154140 1216286 1216423 1235200 1256720 1260400 1284608 1310816 1318190 1322050 1374932 1420480 1420640 1424800 1442675 1497136 1530880 1570900 1605760 1613312 1633736 1638520 1692224 1713647 1718665 1748480 1753600 1775600 1775800 1823744 1846624 1871420 1913600 2007200 2010752 2016640 2042170 2048150 2109104 2115280 2152133 2185600 2272768 2273024 2279680 2308280 2339275 2432572 2432846 2470400 2513440 2520800 2569216 2621632 2636380 2644100 2749864 2840960 2841280 2849600 2885350 2994272 3031837 3040715 3141800 3211520 3226624 3267472 3277040 3295475 3384448 3427294 3437330 3496960 3507200 3551200 3551600 3693248 3742840 3827200 4014400 4021504 4033280 4084340 4096300 4218208 4230560 4304266 4371200 4545536 4546048 4559360 4616560 4678550 4865144 4865692 4940800 5026880 5041600 5105425 5243264 5272760 5288200 5499728 5681920 5682560 5699200 5770700 5988544 6063674 6081430 6082115 6283600 6423040 6534944 6554080 6590950 6768896 6854588 6874660 7102400 7103200 7386496 7485680 7654400 7905859 8028800 8043008 8066560 8168680 8192600 8436416 8461120 8568235 8593325 8608532 8742400 9092096 9118720 9233120 9357100 9730288 9731384 10053760 10083200 10210850 10486528 10545520 10576400 10760665 10999456 11363840 11365120 11398400 11541400 11977088 12127348 12162860 12164230 12567200 12846080 13069888 13108160 13181900 13537792 13709176 13749320 14204800 14206400 14772992 14971360 15159185 15203575 15811718 16057600 16086016 16133120 16337360 16385200 16872832 16922240 17136470 17186650 17217064 17484800 18059203 18466240 18714200 19460576 19462768 20107520 20166400 20421700 20973056 21091040 21152800 21521330 21998912 22727680 22730240 22796800 23082800 23954176 24254696 24325720 24328460 25134400 26139776 26216320 26363800 27075584 27418352 27498640 27977729 28409600 28412800 29545984 29942720 30318370 30407150 30410575 31623436 32115200 32674720 32770400 33745664 33844480 34272940 34373300 34434128 36118406 36932480 37428400 38921152 38925536 39413881 39529295 40215040 40332800 40843400 41946112 42182080 42305600 42841175 43042660 43997824 45460480 45593600 46165600 47908352 48509392 48651440 48656920 50268800 52279552 52432640 52727600 53803325 54836704 54997280 55955458 56819200 56825600 59091968 59885440 60636740 60814300 60821150 63246872 64230400 65349440 65540800 67491328 67688960 68545880 68746600 68868256 72236812 73864960 74856800 75795925 77842304 77851072 78827762 79058590 80430080 80665600 81686800 84364160 84611200 85682350 86085320 87995648 90296015 92331200 95816704 97018784 97302880 97313840 100537600 104559104 104865280 105455200 107606650 109673408 109994560 111910916 113638400 113651200 119770880 121273480 121628600 121642300 126493744 130698880 131081600 134982656 135377920 137091760 137493200 137736512 139888645 144473624 147729920 149713600 151591850 155684608 155702144 157655524 158117180 163373600 168728320 169222400 171364700 172170640 175991296 180592030 184662400 194037568 194605760 194627680 197069405 197646475 201075200 209118208 209730560 210910400 215213300 219346816 219989120 223821832 227302400 234769639 239541760 242546960 243257200 243284600 252987488 261397760 262163200 274183520 274986400 275473024 279777290 288947248 295459840 299427200 303183700 311369216 311404288 315311048 316234360 326747200 337456640 338444800 342729400 344341280 351982592 361184060 369324800 388075136 389211520 389255360 394138810 395292950 402150400 415361669 421820800 430426600 438693632 439978240 447643664 451480075 469539278 479083520 485093920 486514400 486569200 505974976 522795520 524326400 548367040 549972800 550946048 559554580 577894496 598854400 606367400 622738432 622808576 630622096 632468720 653494400 674913280 676889600 685458800 688682560 699443225 722368120 738649600 776150272 778423040 778510720 788277620 790585900 830723338 843641600 860853200 877387264 879956480 895287328 902960150 939078556 970187840 973028800 973138400 985347025 1011949952 1045591040 1048652800 1096734080 1099945600 1101892096 1119109160 1155788992 1173848195 1197708800 1212734800 1245617152 1261244192 1264937440 1306988800 1370917600 1377365120 1398886450 1444736240 1477299200 1552300544 1556846080 1557021440 1576555240 1581171800 1661446676 1687283200 1721706400 1754774528 1759912960 1790574656 1805920300 1878157112 1940375680 1946057600 1946276800 1970694050 2023899904 2076808345 2193468160 2199891200 2203784192 2238218320 2311577984 2347696390 2395417600 2425469600 2522488384 2529874880 2613977600 2741835200 2754730240 2797772900 2889472480 3104601088 3113692160 3114042880 3153110480 3162343600 3322893352 3374566400 3443412800 3581149312 3611840600 3756314224 3880751360 3892115200 3892553600 3941388100 4047799808 4153616690 4386936320 4399782400 4476436640 4623155968 4695392780 4850939200 5044976768 5059749760 5227955200 5399701697 5483670400 5509460480 5595545800 5778944960 5869240975 6228085760 6306220960 6324687200 6645786704 6886825600 7162298624 7223681200 7512628448 7761502720 7784230400 7785107200 7882776200 8095599616 8307233380 8773872640 8799564800 8952873280 9246311936 9390785560 9701878400 10089953536 10119499520 10384041725 10799403394 10967340800 11018920960 11191091600 11557889920 11738481950 12612441920 12649374400 13291573408 13773651200 14324597248 14447362400 15025256896 15523005440 15568460800 15570214400 15765552400 16614466760 17905746560 18492623872 18781571120 19403756800 20179907072 20238999040 20768083450 21598806788 21934681600 22382183200 23115779840 23476963900 25224883840 25298748800 26583146816 26998508485 27547302400 28649194496 28894724800 30050513792 31140428800 31531104800 33228933520 35811493120 37563142240 38807513600 40359814144 40477998080 41536166900 43197613576 43869363200 44764366400 46231559680 46953927800 50449767680 50597497600 53166293632 53997016970 55094604800 57789449600 60101027584 63062209600 66457867040 71622986240 75126284480 77615027200 83072333800 86395227152 89528732800 92463119360 93907855600 100899535360 101194995200 106332587264 107994033940 115578899200 120202055168 126124419200 132915734080 134992542425 143245972480 150252568960 166144667600 172790454304 179057465600 187815711200 201799070720 202389990400 212665174528 215988067880 231157798400 240404110336 252248838400 265831468160 269985084850 300505137920 332289335200 345580908608 358114931200 375631422400 425330349056 431976135760 462315596800 504497676800 531662936320 539970169700 601010275840 664578670400 691161817216 716229862400 751262844800 863952271520 1008995353600 1063325872640 1079940339400 1202020551680 1329157340800 1382323634432 1502525689600 1727904543040 2126651745280 2159880678800 2658314681600 2764647268864 3005051379200 3455809086080 4319761357600 5316629363200 5529294537728 6010102758400 6911618172160 8639522715200 10633258726400 13823236344320 17279045430400 27646472688640 34558090860800 69116181721600 138232363443200
- Sum of all divisors σ(n): 390441283658496
- Sum of proper divisors (its aliquot sum) s(n): 252208920215296
- 138232363443200 is an abundant number, because the sum of its proper divisors (252208920215296) is greater than itself. Its abundance is 113976556772096
Bases of 138232363443200
- Binary: 111110110111000101110101110101101100100000000002
- Hexadecimal: 0x7DB8BAEB6400
- Base-36: 1CZZ2K51Q8
Squares and roots of 138232363443200
- 138232363443200 squared (1382323634432002) is 19108186303092935759626240000
- 138232363443200 cubed (1382323634432003) is 2641369753789518888191124280671469568000000
-
The
square root of 138232363443200 is 11757226.0097014383 -
The
cube root of 138232363443200 is 51705.4804331123
Scales and comparisons
How big is 138232363443200?- 138,232,363,443,200 seconds is equal to 4,395,361 years, 29 weeks, 6 days, 22 hours, 13 minutes, 20 seconds.
-
To count from 1 to 138,232,363,443,200 would take you about ten million, nine hundred eighty-eight thousand, four hundred three 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 138232363443200 cubic inches would be around 4308.8 feet tall.
Recreational maths with 138232363443200
- 138232363443200 backwards is 002344363232831
- The number of decimal digits it has is: 15
- The sum of 138232363443200's digits is 44
- More coming soon!
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The information we have on file for 138232363443200 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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