138058129512800
138,058,129,512,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138058129512800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1296 divisors.
138058129512800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138058129512800:
25 × 52 × 72 × 312 × 61 × 73 × 823
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 31 × 31 × 61 × 73 × 823)See below for interesting mathematical facts about the number 138058129512800 from the Numbermatics database.
Names of 138058129512800
- Cardinal: 138058129512800 can be written as One hundred thirty-eight trillion, fifty-eight billion, one hundred twenty-nine million, five hundred twelve thousand, eight hundred.
Scientific notation
- Scientific notation: 1.380581295128 × 1014
Factors of 138058129512800
Divisors of 138058129512800
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 49 50 56 61 62 70 73 80 98 100 112 122 124 140 146 155 160 175 196 200 217 224 244 245 248 280 292 305 310 350 365 392 400 427 434 488 490 496 511 560 584 610 620 700 730 775 784 800 823 854 868 961 976 980 992 1022 1085 1120 1168 1220 1225 1240 1400 1460 1519 1525 1550 1568 1646 1708 1736 1825 1891 1922 1952 1960 2044 2135 2170 2263 2336 2440 2450 2480 2555 2800 2920 2989 3038 3050 3100 3292 3416 3472 3577 3650 3782 3844 3920 4088 4115 4270 4340 4453 4526 4805 4880 4900 4960 5110 5425 5600 5761 5840 5978 6076 6100 6200 6584 6727 6832 6944 7154 7300 7564 7595 7688 7840 8176 8230 8540 8680 8906 9052 9455 9610 9760 9800 10220 10675 10850 11315 11522 11680 11956 12152 12200 12400 12775 13168 13237 13454 13664 14308 14600 14945 15128 15190 15376 15841 16352 16460 17080 17360 17812 17885 18104 18910 19220 19600 20440 20575 21350 21700 22265 22630 23044 23912 24025 24304 24400 24800 25513 25550 26336 26474 26908 28616 28805 29200 29890 30256 30380 30752 31171 31682 32920 33635 34160 34720 35624 35770 36208 37820 37975 38440 39200 40327 40880 41150 42700 43400 44530 45260 46088 47089 47275 47824 48050 48608 48800 50203 51026 51100 52948 53816 56575 57232 57610 58400 58621 59780 60079 60512 60760 62342 63364 65840 66185 67270 68320 70153 71248 71540 72416 74725 75640 75950 76880 79205 80654 81760 82300 85400 86800 89060 89425 90520 92176 92659 94178 94550 95648 96100 100406 102052 102200 105896 107632 110887 111325 113150 114464 115220 117242 119560 120158 121520 124684 126728 127565 131680 132370 134540 138043 140306 142496 143080 144025 149450 151280 151900 153760 155855 158410 161308 164600 168175 170800 173600 178120 178591 178850 181040 184352 185318 188356 189100 192200 200812 201635 204104 204400 211792 215264 218197 221774 222650 226300 230440 234484 235445 239120 240316 243040 249368 251015 253456 255130 264740 269080 276086 280612 286160 288050 293105 298900 300395 302560 303800 311710 316820 322616 329200 330925 336350 341600 350765 351421 356240 357182 357700 362080 370636 376712 378200 384400 396025 401624 403270 408208 408800 410347 420553 423584 436394 443548 445300 452600 460880 463295 468968 470890 478240 480632 491071 498736 502030 506912 510260 529480 538160 552172 554435 561224 572320 576100 586210 597800 600790 607600 623420 633640 637825 645232 658400 661850 672700 690215 701530 702842 712480 714364 715400 741272 753424 756400 768800 779275 790903 792050 803248 806540 816416 820694 841106 872788 887096 890600 892955 905200 921760 926590 937936 941780 961264 966301 982142 997472 1004060 1008175 1020520 1058960 1076320 1090985 1104344 1108870 1122448 1152200 1172420 1177225 1195600 1201580 1215200 1246840 1250137 1255075 1267280 1275650 1290464 1323700 1345400 1380430 1403060 1405684 1428728 1430800 1465525 1482544 1501975 1506848 1512800 1556293 1558550 1581806 1584100 1606496 1613080 1641388 1682212 1745576 1753825 1757105 1774192 1781200 1785910 1810400 1853180 1862449 1875872 1883560 1922528 1932602 1964284 2008120 2016350 2041040 2051735 2102765 2117920 2181970 2208688 2217740 2244896 2304400 2316475 2344840 2354450 2391200 2403160 2455355 2459947 2493680 2500274 2510150 2534560 2551300 2647400 2690800 2760860 2772175 2806120 2811368 2857456 2861600 2872429 2931050 2943871 2965088 3003950 3112586 3117100 3163612 3168200 3226160 3282776 3364424 3437497 3451075 3491152 3507650 3514210 3548384 3562400 3571820 3664819 3706360 3724898 3767120 3865204 3928568 3954515 4016240 4032700 4082080 4103470 4205530 4279333 4363940 4417376 4435480 4464775 4608800 4632950 4689680 4708900 4806320 4831505 4910710 4919894 4987360 5000548 5020300 5102600 5294800 5381600 5454925 5521720 5536321 5544350 5612240 5622736 5714912 5744858 5862100 5887742 6007900 6225172 6234200 6250685 6327224 6336400 6452320 6565552 6728848 6764107 6874994 6902150 6982304 7015300 7028420 7143640 7329638 7412720 7449796 7534240 7730408 7781465 7857136 7909030 8032480 8065400 8206940 8411060 8558666 8727880 8785525 8870960 8929550 9265900 9312245 9379360 9417800 9612640 9663010 9821420 9839788 10001096 10040600 10205200 10258675 10513825 10589600 10894051 10909850 11043440 11072642 11088700 11224480 11245472 11489716 11724200 11775484 12015800 12276775 12299735 12450344 12468400 12501370 12654448 12672800 13037143 13131104 13457696 13528214 13749988 13804300 14030600 14056840 14287280 14362145 14659276 14719355 14825440 14899592 15460816 15562930 15714272 15818060 16130800 16413880 16822120 17117332 17187485 17455760 17571050 17741920 17859100 18324095 18531800 18624490 18835600 19326020 19642840 19679576 19772575 20002192 20081200 20410400 20517350 21027650 21396665 21788102 21819700 22086880 22145284 22177400 22979432 23448400 23550968 24031600 24157525 24553550 24599470 24900688 24936800 25002740 25308896 25653733 26074286 27056428 27499976 27608600 27681605 28061200 28113680 28574560 28724290 29318552 29438710 29799184 29955331 30921632 31125860 31253425 31636120 32261600 32827760 33644240 33820535 34234664 34374970 34911520 35142100 35718200 36648190 37063600 37248980 37671200 38652040 38754247 38907325 39285680 39359152 39545150 40004384 40162400 41034700 42055300 42793330 43576204 43639400 44290568 44354800 45958864 46561225 46896800 47101936 48063200 48245083 48315050 49107100 49198940 49801376 50005480 51307466 52148572 54112856 54470255 54999952 55217200 55363210 56122400 56227360 57448580 57735919 58637104 58877420 59598368 59910662 61498675 62251720 62506850 63272240 65185715 65655520 67288480 67641070 68469328 68749940 70284200 71436400 71810725 73296380 73596775 74127200 74497960 76258357 77304080 77508494 77814650 78571360 78718304 79090300 82069400 84110600 85586660 85937425 87152408 87278800 88581136 88709600 91260001 91620475 91917728 93122450 94203872 96490166 96630100 98214200 98397880 100010960 102614932 104297144 106983325 108225712 108940510 109999904 110434400 110726420 113609389 114897160 115471838 117274208 117754840 119821324 122997350 124503440 125013700 126544480 128268665 130371430 135282140 136938656 137499880 138408025 140568400 142872800 143621450 146592760 147193550 148995920 149776655 152516714 154608160 155016988 155629300 158180600 164138800 168221200 169102675 171173320 171874850 174304816 174557600 177162272 179576131 182520002 183240950 186244900 192980332 193260200 193771235 196428400 196795760 200021920 205229864 208594288 209687317 213966650 216451424 217881020 221452840 227218778 229794320 230943676 235509680 239642648 241225415 245994700 249006880 250027400 256537330 260742860 270564280 272351275 274999760 276816050 281136800 287242900 288679595 293185520 294387100 297991840 299553310 305033428 310033976 311258600 316361200 325928575 328277600 336442400 337715581 338205350 342346640 343749700 348609632 359152262 365040004 366481900 372489800 381291785 385960664 386520400 387542470 392856800 393591520 404151433 410459728 417188576 419374634 427933300 435762040 442905680 454437556 456300005 459588640 461887352 471019360 479285296 482450830 491989400 500054800 513074660 521485720 541128560 544702550 549999520 553632100 568046945 574485800 577359190 586371040 588774200 599106620 610066856 620067952 622517200 632722400 641343325 651857150 675431162 676410700 684693280 687499400 718304524 730080008 732963800 744979600 748883275 762583570 771921328 773040800 775084940 795265723 808302866 820919456 838749268 855866600 871524080 885811360 897880655 908875112 912600010 923774704 958570592 964901660 968856175 983978800 1000109600 1026149320 1042971440 1048436585 1082257120 1089405100 1107264200 1136093890 1148971600 1154718380 1177548400 1198213240 1206127075 1220133712 1240135904 1245034400 1282686650 1303714300 1350862324 1352821400 1374998800 1436609048 1443397975 1460160016 1465927600 1489959200 1497766550 1525167140 1543842656 1550169880 1590531446 1616605732 1677498536 1688577905 1711733200 1743048160 1795761310 1817750224 1825200020 1847549408 1906458925 1929803320 1937712350 1967957600 2020757165 2052298640 2085942880 2096873170 2178810200 2214528400 2272187780 2281500025 2297943200 2309436760 2355096800 2364009067 2396426480 2412254150 2440267424 2565373300 2607428600 2701724648 2705642800 2749997600 2829060031 2840234725 2873218096 2886795950 2920320032 2931855200 2995533100 3050334280 3100339760 3181062892 3233211464 3354997072 3377155810 3423466400 3521891059 3591522620 3635500448 3650400040 3812917850 3859606640 3875424700 3976328615 4041514330 4104597280 4193746340 4357620400 4429056800 4489403275 4544375560 4563000050 4618873520 4728018134 4792852960 4824508300 5130746600 5214857200 5242182925 5403449296 5411285600 5566860061 5658120062 5680469450 5746436192 5773591900 5991066200 6100668560 6200679520 6362125784 6466422928 6709994144 6754311620 7043782118 7183045240 7300800080 7625835700 7719213280 7750849400 7952657230 8083028660 8387492680 8442889525 8715240800 8978806550 9088751120 9126000100 9237747040 9456036268 9649016600 10103785825 10261493200 10429714400 10484365850 10806898592 11133720122 11316240124 11360938900 11547183800 11820045335 11982132400 12201337120 12724251568 12932845856 13508623240 14087564236 14145300155 14366090480 14601600160 15251671400 15501698800 15905314460 16166057320 16774985360 16885779050 17609455295 17957613100 18177502240 18252000200 18912072536 19298033200 19881643075 20207571650 20522986400 20968731700 22267440244 22632480248 22721877800 23094367600 23640090670 23964264800 24653237413 25448503136 27017246480 27834300305 28175128472 28290600310 28732180960 30503342800 31003397600 31810628920 32332114640 33549970720 33771558100 35218910590 35915226200 36504000400 37824145072 38596066400 39763286150 40415143300 41937463400 44534880488 45264960496 45443755600 46188735200 47280181340 49306474826 54034492960 55668600610 56350256944 56581200620 59100226675 61006685600 63621257840 64664229280 67543116200 70437821180 70726500775 71830452400 73008000800 75648290144 79526572300 80830286600 83874926800 88047276475 89069760976 90529920992 90887511200 94560362680 98612949652 111337201220 112700513888 113162401240 118200453350 123266187065 127242515680 135086232400 139171501525 140875642360 141453001550 143660904800 159053144600 161660573200 167749853600 172572661891 176094552950 178139521952 189120725360 197225899304 222674402440 226324802480 236400906700 246532374130 270172464800 278343003050 281751284720 282906003100 318106289200 323321146400 345145323782 352189105900 378241450720 394451798608 445348804880 452649604960 472801813400 493064748260 556686006100 563502569440 565812006200 616330935325 636212578400 690290647564 704378211800 788903597216 862863309455 890697609760 945603626800 986129496520 1113372012200 1131624012400 1232661870650 1380581295128 1408756423600 1725726618910 1891207253600 1972258993040 2226744024400 2263248024800 2465323741300 2761162590256 2817512847200 3451453237820 3944517986080 4314316547275 4453488048800 4930647482600 5522325180512 6902906475640 8628633094550 9861294965200 13805812951280 17257266189100 19722589930400 27611625902560 34514532378200 69029064756400 138058129512800
- Sum of all divisors σ(n): 417904423717536
- Sum of proper divisors (its aliquot sum) s(n): 279846294204736
- 138058129512800 is an abundant number, because the sum of its proper divisors (279846294204736) is greater than itself. Its abundance is 141788164691936
Bases of 138058129512800
- Binary: 111110110010000001010011100010010011001011000002
- Hexadecimal: 0x7D9029C49960
- Base-36: 1CXR11R8M8
Squares and roots of 138058129512800
- 138058129512800 squared (1380581295128002) is 19060047124573058365363840000
- 138058129512800 cubed (1380581295128003) is 2631394454444378527210994484413937152000000
-
The
square root of 138058129512800 is 11749814.0203494285 -
The
cube root of 138058129512800 is 51683.7473730377
Scales and comparisons
How big is 138058129512800?- 138,058,129,512,800 seconds is equal to 4,389,821 years, 24 weeks, 5 days, 12 hours, 13 minutes, 20 seconds.
-
To count from 1 to 138,058,129,512,800 would take you about ten million, nine hundred seventy-four thousand, five hundred fifty-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 138058129512800 cubic inches would be around 4307 feet tall.
Recreational maths with 138058129512800
- 138058129512800 backwards is 008215921850831
- The number of decimal digits it has is: 15
- The sum of 138058129512800's digits is 53
- More coming soon!
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Numbermatics. (2024). Number 138058129512800 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/138058129512800/
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The information we have on file for 138058129512800 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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