138133058918400
138,133,058,918,400 is an even composite number composed of seven prime numbers multiplied together.
138133058918400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 138133058918400:
211 × 34 × 52 × 7 × 13 × 31 × 11807
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 31 × 11807)See below for interesting mathematical facts about the number 138133058918400 from the Numbermatics database.
Names of 138133058918400
- Cardinal: 138133058918400 can be written as One hundred thirty-eight trillion, one hundred thirty-three billion, fifty-eight million, nine hundred eighteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.381330589184 × 1014
Factors of 138133058918400
Divisors of 138133058918400
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 31 32 35 36 39 40 42 45 48 50 52 54 56 60 62 63 64 65 70 72 75 78 80 81 84 90 91 93 96 100 104 105 108 112 117 120 124 126 128 130 135 140 144 150 155 156 160 162 168 175 180 182 186 189 192 195 200 208 210 216 217 224 225 234 240 248 252 256 260 270 273 279 280 288 300 310 312 315 320 324 325 336 350 351 360 364 372 378 384 390 400 403 405 416 420 432 434 448 450 455 465 468 480 496 504 512 520 525 540 546 558 560 567 576 585 600 620 624 630 640 648 650 651 672 675 700 702 720 728 744 756 768 775 780 800 806 810 819 832 837 840 864 868 896 900 910 930 936 945 960 975 992 1008 1024 1040 1050 1053 1080 1085 1092 1116 1120 1134 1152 1170 1200 1209 1240 1248 1260 1280 1296 1300 1302 1344 1350 1365 1395 1400 1404 1440 1456 1488 1512 1536 1550 1560 1575 1600 1612 1620 1638 1664 1674 1680 1728 1736 1755 1792 1800 1820 1860 1872 1890 1920 1950 1953 1984 2015 2016 2025 2048 2080 2100 2106 2160 2170 2184 2232 2240 2268 2275 2304 2325 2340 2400 2418 2457 2480 2496 2511 2520 2560 2592 2600 2604 2688 2700 2730 2790 2800 2808 2821 2835 2880 2912 2925 2976 3024 3072 3100 3120 3150 3200 3224 3240 3255 3276 3328 3348 3360 3456 3472 3510 3584 3600 3627 3640 3720 3744 3780 3840 3900 3906 3968 4030 4032 4050 4095 4160 4185 4200 4212 4320 4340 4368 4464 4480 4536 4550 4608 4650 4680 4725 4800 4836 4914 4960 4992 5022 5040 5120 5184 5200 5208 5265 5376 5400 5425 5460 5580 5600 5616 5642 5670 5760 5824 5850 5859 5952 6045 6048 6144 6200 6240 6300 6400 6448 6480 6510 6552 6656 6696 6720 6825 6912 6944 6975 7020 7168 7200 7254 7280 7371 7440 7488 7560 7680 7800 7812 7936 8060 8064 8100 8190 8320 8370 8400 8424 8463 8640 8680 8736 8775 8928 8960 9072 9100 9216 9300 9360 9450 9600 9672 9765 9828 9920 9984 10044 10075 10080 10240 10368 10400 10416 10530 10752 10800 10850 10881 10920 11160 11200 11232 11284 11340 11520 11648 11700 11718 11807 11904 12090 12096 12285 12400 12480 12555 12600 12800 12896 12960 13020 13104 13312 13392 13440 13650 13824 13888 13950 14040 14105 14175 14336 14400 14508 14560 14742 14880 14976 15120 15360 15600 15624 15872 16120 16128 16200 16275 16380 16640 16740 16800 16848 16926 17280 17360 17472 17550 17577 17856 17920 18135 18144 18200 18432 18600 18720 18900 19200 19344 19530 19656 19840 19968 20088 20150 20160 20475 20736 20800 20832 20925 21060 21504 21600 21700 21762 21840 22320 22400 22464 22568 22680 23040 23296 23400 23436 23614 23808 24180 24192 24570 24800 24960 25110 25200 25389 25600 25792 25920 26040 26208 26325 26624 26784 26880 27300 27648 27776 27900 28080 28210 28350 28800 29016 29120 29295 29484 29760 29952 30225 30240 30720 31200 31248 31744 32240 32256 32400 32550 32643 32760 33280 33480 33600 33696 33852 34560 34720 34944 35100 35154 35421 35712 35840 36270 36288 36400 36855 37200 37440 37800 38400 38688 39060 39312 39680 39936 40176 40300 40320 40950 41472 41600 41664 41850 42120 42315 43008 43200 43400 43524 43680 44640 44800 44928 45136 45360 46080 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18740070400 18974321280 19042329600 19185147072 19270795050 19677073920 19804022784 19892433600 19984528200 20239276032 20555514720 20629190400 20753163900 21082579200 21218595840 21316830080 21422620800 21583290456 21925882368 22136708160 22279525632 22482594225 22839460800 22850795520 23207839200 23576217600 23612488704 23717901600 23981433840 24362091520 24482995200 24596342400 24666617664 24755028480 25299095040 25462315008 25580196096 25694393400 26236098560 26523244800 26564049792 26646037600 26979113070 27407352960 27505587200 27670885200 27849407040 28110105600 28563494400 28777720608 29234509824 29515610880 29706034176 29976792300 30358914048 30452614400 30833272080 30943785600 31623868800 31827893760 31975245120 32795123200 32888823552 33006704640 33205062240 33732126720 34106928128 34259191200 34276193280 34811758800 35364326400 35418733056 35972150760 36543137280 36894513600 37132542720 37948642560 38084659200 38370294144 38541590100 39354147840 39784867200 39969056400 41111029440 41258380800 41506327800 42165158400 42437191680 42633660160 42845241600 43166580912 43851764736 44273416320 44559051264 44965188450 45678921600 46415678400 47224977408 47435803200 47962867680 48724183040 48965990400 49192684800 49333235328 49510056960 50598190080 51160392192 51388786800 53046489600 53128099584 53292075200 53958226140 54814705920 55011174400 55341770400 55698814080 56220211200 57126988800 57555441216 59031221760 59412068352 59953584600 60717828096 60905228800 61666544160 61887571200 63247737600 63655787520 63950490240 65590246400 65777647104 66410124480 67447782675 68213856256 68518382400 68552386560 69623517600 70728652800 70837466112 71944301520 73086274560 73789027200 74265085440 75897285120 76740588288 77083180200 78708295680 79569734400 79938112800 82222058880 82516761600 83012655600 84330316800 85267320320 85690483200 86333161824 87703529472 88546832640 89118102528 89930376900 91357843200 92831356800 94871606400 95925735360 98385369600 98666470656 99020113920 101196380160 102320784384 102777573600 106092979200 106256199168 106584150400 107916452280 109629411840 110683540800 111397628160 114253977600 115110882432 118062443520 119907169200 121810457600 123333088320 123775142400 126495475200 127311575040 127900980480 131180492800 131555294208 132820248960 134895565350 137036764800 139247035200 141674932224 143888603040 146172549120 147578054400 148530170880 151794570240 153481176576 154166360400 159139468800 159876225600 164444117760 165033523200 166025311200 168660633600 170534640640 171380966400 172666323648 177093665280 178236205056 179860753800 182715686400 185662713600 189743212800 191851470720 196770739200 197332941312 204641568768 205555147200 212185958400 212512398336 213168300800 215832904560 219258823680 221367081600 222795256320 230221764864 236124887040 239814338400 243620915200 246666176640 247550284800 252990950400 255801960960 263110588416 265640497920 269791130700 274073529600 278494070400 287777206080 295156108800 297060341760 303589140480 306962353152 308332720800 318278937600 319752451200 328888235520 332050622400 341069281280 342761932800 345332647296 354187330560 359721507600 365431372800 371325427200 379486425600 383702941440 393541478400 394665882624 411110294400 425024796672 426336601600 431665809120 438517647360 442734163200 445590512640 460443529728 479628676800 493332353280 495100569600 505981900800 511603921920 531280995840 539582261400 548147059200 556988140800 575554412160 590312217600 613924706304 616665441600 636557875200 639504902400 657776471040 664101244800 690665294592 708374661120 719443015200 730862745600 742650854400 758972851200 767405882880 789331765248 822220588800 852673203200 863331618240 885468326400 891181025280 920887059456 959257353600 986664706560 1023207843840 1062561991680 1079164522800 1096294118400 1113976281600 1151108824320 1180624435200 1233330883200 1279009804800 1315552942080 1328202489600 1381330589184 1438886030400 1485301708800 1517945702400 1534811765760 1644441177600 1705346406400 1726663236480 1770936652800 1841774118912 1918514707200 1973329413120 2125123983360 2158329045600 2192588236800 2227952563200 2302217648640 2466661766400 2558019609600 2656404979200 2762661178368 2877772060800 3069623531520 3288882355200 3453326472960 3541873305600 3837029414400 3946658826240 4316658091200 4455905126400 4604435297280 4933323532800 5116039219200 5312809958400 5525322356736 5755544121600 6577764710400 6906652945920 7674058828800 8633316182400 9208870594560 9866647065600 10625619916800 11511088243200 13813305891840 15348117657600 17266632364800 19733294131200 23022176486400 27626611783680 34533264729600 46044352972800 69066529459200 138133058918400
- Sum of all divisors σ(n): 650047834275840
- Sum of proper divisors (its aliquot sum) s(n): 511914775357440
- 138133058918400 is an abundant number, because the sum of its proper divisors (511914775357440) is greater than itself. Its abundance is 373781716439040
Bases of 138133058918400
- Binary: 111110110100001100110111110100010011000000000002
- Hexadecimal: 0x7DA19BE89800
- Base-36: 1CYPG8SG00
Squares and roots of 138133058918400
- 138133058918400 squared (1381330589184002) is 19080741966154165777858560000
- 138133058918400 cubed (1381330589184003) is 2635681254217560840050537434661781504000000
-
The
square root of 138133058918400 is 11753002.1236448349 -
The
cube root of 138133058918400 is 51693.0959280903
Scales and comparisons
How big is 138133058918400?- 138,133,058,918,400 seconds is equal to 4,392,204 years.
-
To count from 1 to 138,133,058,918,400 would take you about ten million, nine hundred eighty thousand, five hundred ten 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 138133058918400 cubic inches would be around 4307.8 feet tall.
Recreational maths with 138133058918400
- 138133058918400 backwards is 004819850331831
- 138133058918400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138133058918400's digits is 54
- More coming soon!
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"Number 138133058918400 - Facts about the integer". Numbermatics.com. 2024. Web. 24 September 2024.
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Numbermatics. (2024). Number 138133058918400 - Facts about the integer. Retrieved 24 September 2024, from https://numbermatics.com/n/138133058918400/
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The information we have on file for 138133058918400 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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