138091821906126400
138,091,821,906,126,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 138091821906126400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1701 divisors.
138091821906126400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred one divisors.
Prime factorization of 138091821906126400:
26 × 52 × 132 × 172 × 1272 × 3312
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 17 × 17 × 127 × 127 × 331 × 331)See below for interesting mathematical facts about the number 138091821906126400 from the Numbermatics database.
Names of 138091821906126400
- Cardinal: 138091821906126400 can be written as One hundred thirty-eight quadrillion, ninety-one trillion, eight hundred twenty-one billion, nine hundred six million, one hundred twenty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.380918219061264 × 1017
Factors of 138091821906126400
Divisors of 138091821906126400
- Number of divisors d(n): 1701
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 32 34 40 50 52 64 65 68 80 85 100 104 127 130 136 160 169 170 200 208 221 254 260 272 289 320 325 331 338 340 400 416 425 442 508 520 544 578 635 650 662 676 680 800 832 845 850 884 1016 1040 1088 1105 1156 1270 1300 1324 1352 1360 1445 1600 1651 1655 1690 1700 1768 2032 2080 2159 2210 2312 2540 2600 2648 2704 2720 2873 2890 3175 3302 3310 3380 3400 3536 3757 4064 4160 4225 4303 4318 4420 4624 5080 5200 5296 5408 5440 5525 5627 5746 5780 6350 6604 6620 6760 6800 7072 7225 7514 8128 8255 8275 8450 8606 8636 8840 9248 10160 10400 10592 10795 10816 11050 11254 11492 11560 12700 13208 13240 13520 13600 14144 14365 14450 15028 16129 16510 16550 16900 17212 17272 17680 18496 18785 20320 20800 21184 21463 21515 21590 22100 22508 22984 23120 25400 26416 26480 27040 27200 28067 28135 28730 28900 30056 32258 33020 33100 33800 34424 34544 35360 36703 37570 40640 41275 42037 42926 43030 43180 44200 45016 45968 46240 48841 50800 52832 52960 53975 54080 55939 56134 56270 57460 57800 60112 64516 66040 66200 67600 68848 69088 70720 71825 73151 73406 75140 80645 82550 84074 85852 86060 86360 88400 90032 91936 92480 93925 95659 97682 101600 105664 105920 107315 107575 107950 109561 111878 112268 112540 114920 115600 120224 129032 132080 132400 135200 137696 138176 140335 140675 143650 146302 146812 150280 161290 165100 168148 171704 172120 172720 176800 180064 183515 183872 187850 191318 195364 203200 209677 210185 214630 215150 215900 219122 223756 224536 225080 229840 231200 240448 244205 258064 264160 264800 270400 274193 275392 279695 280670 281350 287300 292604 293624 300560 322580 330200 336296 343408 344240 345440 353600 360128 364871 365755 367030 375700 382636 390728 403225 419354 420370 429260 430300 431800 438244 447512 449072 450160 459680 462400 477139 478295 488410 516128 528320 529600 536575 546481 547805 548386 559390 561340 562700 574600 585208 587248 601120 645160 660400 672592 686816 688480 690880 701675 714629 729742 731510 734060 751400 765272 781456 806450 838708 840740 858520 860600 863600 876488 895024 898144 900320 917575 919360 950963 954278 956590 976820 1032256 1048385 1050925 1073150 1092962 1095610 1096772 1118780 1122680 1125400 1149200 1170416 1174496 1202240 1221025 1243567 1290320 1320800 1345184 1370965 1373632 1376960 1398475 1403350 1424293 1429258 1459484 1463020 1468120 1502800 1530544 1562912 1612900 1677416 1681480 1717040 1721200 1727200 1752976 1790048 1796288 1800640 1824355 1828775 1835150 1862537 1901926 1908556 1913180 1953640 2096770 2101850 2146300 2185924 2191220 2193544 2237560 2245360 2250800 2298400 2340832 2348992 2385695 2391475 2442050 2487134 2580640 2641600 2690368 2725801 2732405 2739025 2741930 2796950 2806700 2848586 2858516 2918968 2926040 2936240 3005600 3061088 3125824 3225800 3354832 3362960 3434080 3442400 3454400 3505952 3564509 3573145 3580096 3648710 3657550 3670300 3725074 3803852 3817112 3826360 3907280 4193540 4203700 4292600 4371848 4382440 4387088 4475120 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574310544925 597282966722 600817185460 613523289080 615009717400 617153604400 630205191200 639610106096 641839748576 643394781280 657001317440 658593083200 679585737727 706843747600 721792104800 735117497504 751021481825 752482477760 766904111350 781062341098 799512632620 802299685720 804243476600 821251646800 836413215664 856171008160 918896871880 940603097200 943881983200 961307496736 981637262528 984015547840 999390790775 1002874607150 1021389215282 1042989591436 1045516519580 1070213760200 1148621089850 1194565933444 1201634370920 1227046578160 1230019434800 1234307208800 1260410382400 1279220212192 1283679497152 1286789562560 1303736989295 1306895649475 1359171475454 1413687495200 1443584209600 1470234995008 1493207416805 1502042963650 1533808222700 1562124682196 1599025265240 1604599371440 1608486953200 1642503293600 1672826431328 1712342016320 1837793743760 1881206194400 1887763966400 1922614993472 1952655852745 1998781581550 2005749214300 2042778430564 2085979182872 2091033039160 2140427520400 2297242179700 2389131866888 2403268741840 2454093156320 2460038869600 2468614417600 2553473038205 2558440424384 2607473978590 2613791298950 2718342950908 2827374990400 2986414833610 3004085927300 3067616445400 3124249364392 3198050530480 3209198742880 3216973906400 3285006587200 3345652862656 3397928688635 3675587487520 3762412388800 3905311705490 3997563163100 4011498428600 4085556861128 4171958365744 4182066078320 4280855040800 4594484359400 4778263733776 4806537483680 4908186312640 4920077739200 5076905217137 5106946076410 5214947957180 5227582597900 5436685901816 5972829667220 6008171854600 6135232890800 6248498728784 6396101060960 6418397485760 6433947812800 6518684946475 6639029899333 6795857377270 7351174975040 7466037084025 7810623410980 7995126326200 8022996857200 8171113722256 8343916731488 8364132156640 8561710081600 9188968718800 9556527467552 9613074967360 9763279263725 10153810434274 10213892152820 10429895914360 10455165195800 10873371803632 11945659334440 12016343709200 12270465781600 12496997457568 12767365191025 12792202121920 13037369892950 13278059798666 13591714754540 14932074168050 15621246821960 15990252652400 16045993714400 16342227444512 16687833462976 16728264313280 16989643443175 18377937437600 19113054935104 19526558527450 20307620868548 20427784305640 20859791828720 20910330391600 21746743607264 23891318668880 24032687418400 24540931563200 24993994915136 25384526085685 25534730382050 26074739785900 26556119597332 27183429509080 29864148336100 31242493643920 31980505304800 32091987428800 32684454889024 33195149496665 33979286886350 36755874875200 39053117054900 40615241737096 40855568611280 41719583657440 41820660783200 43493487214528 47782637337760 48065374836800 50769052171370 51069460764100 52149479571800 53112239194664 54366859018160 59728296672200 62484987287840 63961010609600 66390298993330 67958573772700 78106234109800 81230483474192 81711137222560 83439167314880 83641321566400 86307388691329 95565274675520 101538104342740 102138921528200 104298959143600 106224478389328 108733718036320 119456593344400 124969974575680 126922630428425 132780597986660 135917147545400 156212468219600 162460966948384 163422274445120 165975747483325 172614777382658 203076208685480 204277843056400 208597918287200 212448956778656 217467436072640 238913186688800 253845260856850 265561195973320 271834295090800 312424936439200 324921933896768 331951494966650 345229554765316 406152417370960 408555686112800 417195836574400 424897913557312 431536943456645 477826373377600 507690521713700 531122391946640 543668590181600 624849872878400 663902989933300 690459109530632 812304834741920 817111372225600 863073886913290 1015381043427400 1062244783893280 1087337180363200 1327805979866600 1380918219061264 1624609669483840 1726147773826580 2030762086854800 2124489567786560 2157684717283225 2655611959733200 2761836438122528 3452295547653160 4061524173709600 4315369434566450 5311223919466400 5523672876245056 6904591095306320 8123048347419200 8630738869132900 10622447838932800 13809182190612640 17261477738265800 27618364381225280 34522955476531600 69045910953063200 138091821906126400
- Sum of all divisors σ(n): 395153028891893097
- Sum of proper divisors (its aliquot sum) s(n): 257061206985766697
- 138091821906126400 is an abundant number, because the sum of its proper divisors (257061206985766697) is greater than itself. Its abundance is 118969385079640297
Bases of 138091821906126400
- Binary: 1111010101001100111000111110001110001100111100110010000002
- Hexadecimal: 0x1EA99C7C719E640
- Base-36: 11RPGR7DQ24G
Squares and roots of 138091821906126400
- 138091821906126400 squared (1380918219061264002) is 19069351277353331085413852776960000
- 138091821906126400 cubed (1380918219061264003) is 2633321460457640173284280893030460171076767744000000
-
138091821906126400 is a
perfect square number . Itssquare root is 371607080 -
The
cube root of 138091821906126400 is 516879.5141741279
Scales and comparisons
How big is 138091821906126400?- 138,091,821,906,126,400 seconds is equal to 4,390,892,790 years, 29 weeks, 2 days, 8 hours, 26 minutes, 40 seconds.
-
To count from 1 to 138,091,821,906,126,400 would take you about thirteen billion, one hundred seventy-two million, six hundred seventy-eight thousand, three hundred seventy-one 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 138091821906126400 cubic inches would be around 43073.3 feet tall.
Recreational maths with 138091821906126400
- 138091821906126400 backwards is 004621609128190831
- The number of decimal digits it has is: 18
- The sum of 138091821906126400's digits is 61
- More coming soon!
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MLA style:
"Number 138091821906126400 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 138091821906126400 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/138091821906126400/
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Numbermatics. 2024. "Number 138091821906126400 - Facts about the integer". https://numbermatics.com/n/138091821906126400/
The information we have on file for 138091821906126400 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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