138390970968800
138,390,970,968,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 138390970968800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 864 divisors.
138390970968800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138390970968800:
25 × 52 × 113 × 293 × 732
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 11 × 29 × 29 × 29 × 73 × 73)See below for interesting mathematical facts about the number 138390970968800 from the Numbermatics database.
Names of 138390970968800
- Cardinal: 138390970968800 can be written as One hundred thirty-eight trillion, three hundred ninety billion, nine hundred seventy million, nine hundred sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.383909709688 × 1014
Factors of 138390970968800
Divisors of 138390970968800
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 29 32 40 44 50 55 58 73 80 88 100 110 116 121 145 146 160 176 200 220 232 242 275 290 292 319 352 365 400 440 464 484 550 580 584 605 638 725 730 800 803 841 880 928 968 1100 1160 1168 1210 1276 1331 1450 1460 1595 1606 1682 1760 1825 1936 2117 2200 2320 2336 2420 2552 2662 2900 2920 3025 3190 3212 3364 3509 3650 3872 4015 4205 4234 4400 4640 4840 5104 5324 5329 5800 5840 6050 6380 6424 6655 6728 7018 7300 7975 8030 8410 8468 8800 8833 9251 9680 10208 10585 10648 10658 11600 11680 12100 12760 12848 13310 13456 14036 14600 15950 16060 16820 16936 17545 17666 18502 19360 20075 21025 21170 21296 21316 23200 23287 24200 24389 25520 25696 26620 26645 26912 28072 29200 31900 32120 33275 33640 33872 35090 35332 37004 38599 40150 42050 42340 42592 42632 44165 46255 46574 48400 48778 51040 52925 53240 53290 56144 58400 58619 61393 63800 64240 66550 67280 67744 70180 70664 74008 77198 80300 84100 84680 85264 87725 88330 92510 93148 96800 97163 97556 101761 105850 106480 106580 112288 116435 117238 121945 122786 127600 128480 133100 133225 134560 140360 141328 148016 154396 154541 160600 168200 169360 170528 175450 176660 185020 186296 192995 194326 195112 203522 211700 212960 213160 220825 231275 232870 234476 243890 245572 255200 256157 266200 266450 268279 280720 282656 293095 296032 306965 308792 309082 321200 336400 338720 350900 353320 370040 372592 385990 388652 390224 407044 423400 426320 441650 462550 465740 468952 485815 487780 491144 508805 512314 532400 532900 536558 561440 582175 586190 609725 613930 617584 618164 642400 644809 672800 675323 701800 706640 740080 745184 771980 772705 777304 780448 814088 846800 852640 883300 925100 931480 937904 964975 971630 975560 982288 1017610 1024628 1064800 1065800 1073116 1119371 1164350 1172380 1219450 1227860 1235168 1236328 1280785 1289618 1341395 1350646 1403600 1413280 1465475 1480160 1534825 1543960 1545410 1554608 1628176 1693600 1699951 1766600 1780397 1850200 1862960 1875808 1929950 1943260 1951120 1964576 2035220 2049256 2131600 2146232 2238742 2328700 2344760 2429075 2438900 2455720 2472656 2544025 2561570 2579236 2682790 2701292 2807200 2817727 2930950 2951069 3069650 3087920 3090820 3109216 3224045 3256352 3376615 3399902 3533200 3560794 3700400 3725920 3859900 3863525 3886520 3902240 4070440 4098512 4263200 4292464 4477484 4481689 4657400 4689520 4858150 4877800 4911440 4945312 5088050 5123140 5158472 5365580 5402584 5596855 5635454 5861900 5902138 6139300 6175840 6181640 6403925 6448090 6706975 6753230 6799804 7066400 7092899 7121588 7400800 7428553 7719800 7727050 7773040 8140880 8197024 8499755 8584928 8901985 8954968 8963378 9314800 9379040 9716300 9755600 9822880 10176100 10246280 10316944 10731160 10805168 11193710 11270908 11723800 11804276 12278600 12363280 12807850 12896180 13413950 13506460 13599608 14088635 14185798 14243176 14755345 14857106 15439600 15454100 15546080 16120225 16281760 16883075 16999510 17803970 17909936 17926756 18629600 18699461 19432600 19511200 19584367 20352200 20492560 20633888 21462320 21610336 22387420 22408445 22541816 23447600 23608552 24557200 24726560 25615700 25792360 26827900 27012920 27199216 27984275 28177270 28371596 28486352 29510690 29714212 30879200 30908200 32240450 32461759 33766150 33999020 35464495 35607940 35819872 35853512 37142765 37398922 38865200 39168734 40704400 40985120 42498775 42924640 44509925 44774840 44816890 45083632 46895200 47217104 49114400 49298579 51231400 51584720 53655800 54025840 54398432 55968550 56354540 56743192 56972704 59021380 59428424 61816400 64480900 64923518 67532300 67998040 70443175 70928990 71215880 71707024 73776725 74285530 74797844 77730400 78337468 81408800 81714083 84997550 89019850 89549680 89633780 90167264 93497305 94434208 97921835 98597158 102462800 103169440 107311600 108051680 111937100 112042225 112709080 113486384 118042760 118856848 123632800 128961800 129847036 129968981 135064600 135996080 140886350 141857980 142431760 143414048 147553450 148571060 149595688 156674936 162308795 163428166 169995100 177322475 178039700 179099360 179267560 185713825 186994610 195843670 197194316 204925600 205694071 214623200 215428037 223874200 224084450 225418160 226972768 236085520 237713696 246492895 257923600 259694072 259937962 270129200 271992160 281772700 283715960 284863520 295106900 297142120 299191376 313349872 324617590 326856332 339990200 354644950 356079400 358535120 371427650 373989220 391687340 394388632 408570415 411388142 430856074 447748400 448168900 450836320 467486525 472171040 489609175 492985790 515847200 519388144 519875924 540258400 542284369 563545400 567431920 590213800 594284240 598382752 626699744 649235180 649844905 653712664 679980400 709289900 712158800 717070240 742855300 747978440 783374680 788777264 811543975 817140830 822776284 861712148 895496800 896337800 934973050 979218350 985971580 1028470355 1038776288 1039751848 1077140185 1084568738 1127090800 1134863840 1180427600 1188568480 1232464475 1298470360 1299689810 1307425328 1359960800 1418579800 1424317600 1429658791 1485710600 1495956880 1566749360 1577554528 1623087950 1634281660 1645552568 1723424296 1792675600 1869946100 1958436700 1971943160 2042852075 2056940710 2079503696 2154280370 2169137476 2254181600 2360855200 2369708407 2464928950 2596940720 2599379620 2614850656 2711421845 2837159600 2859317582 2971421200 2991913760 3133498720 3246175900 3249224525 3268563320 3291105136 3446848592 3585351200 3739892200 3916873400 3943886320 4085704150 4113881420 4159007392 4308560740 4338274952 4739416814 4929857900 5142351775 5193881440 5198759240 5385700925 5422843690 5674319200 5718635164 5942842400 5965128059 6492351800 6498449050 6537126640 6582210272 6893697184 7148293955 7479784400 7833746800 7887772640 8171408300 8227762840 8617121480 8676549904 9478833628 9859715800 10284703550 10397518480 10771401850 10845687380 11437270328 11848542035 11930256118 12984703600 12996898100 13074253280 13557109225 14296587910 14959568800 15667493600 15726246701 16342816600 16455525680 17234242960 17353099808 18957667256 19719431600 20569407100 20795036960 21542803700 21691374760 22874540656 23697084070 23860512236 25969407200 25993796200 27114218450 28593175820 29825640295 31452493402 32685633200 32911051360 34468485920 35741469775 37915334512 39438863200 41138814200 43085607400 43382749520 45749081312 47394168140 47721024472 51987592400 54228436900 57186351640 59242710175 59651280590 62904986804 65371266400 71482939550 75830669024 78631233505 82277628400 86171214800 86765499040 94788336280 95442048944 103975184800 108456873800 114372703280 118485420350 119302561180 125809973608 142965879100 149128201475 157262467010 164555256800 172342429600 172988713711 189576672560 190884097888 216913747600 228745406560 236970840700 238605122360 251619947216 285931758200 298256402950 314524934020 345977427422 379153345120 393156167525 433827495200 473941681400 477210244720 503239894432 571863516400 596512805900 629049868040 691954854844 786312335050 864943568555 947883362800 954420489440 1143727032800 1193025611800 1258099736080 1383909709688 1572624670100 1729887137110 1895766725600 2386051223600 2516199472160 2767819419376 3145249340200 3459774274220 4324717842775 4772102447200 5535638838752 6290498680400 6919548548440 8649435685550 12580997360800 13839097096880 17298871371100 27678194193760 34597742742200 69195485484400 138390970968800
- Sum of all divisors σ(n): 390221895137760
- Sum of proper divisors (its aliquot sum) s(n): 251830924168960
- 138390970968800 is an abundant number, because the sum of its proper divisors (251830924168960) is greater than itself. Its abundance is 113439953200160
Bases of 138390970968800
- Binary: 111110111011101101010001010101000101010111000002
- Hexadecimal: 0x7DDDA8AA2AE0
- Base-36: 1D1ZXMYRQ8
Squares and roots of 138390970968800
- 138390970968800 squared (1383909709688002) is 19152060845687244410573440000
- 138390970968800 cubed (1383909709688003) is 2650472296488194617908139002800348672000000
-
The
square root of 138390970968800 is 11763969.1842846987 -
The
cube root of 138390970968800 is 51725.2484612551
Scales and comparisons
How big is 138390970968800?- 138,390,970,968,800 seconds is equal to 4,400,404 years, 41 weeks, 6 days, 4 hours, 13 minutes, 20 seconds.
-
To count from 1 to 138,390,970,968,800 would take you about eleven million, one thousand and 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 138390970968800 cubic inches would be around 4310.4 feet tall.
Recreational maths with 138390970968800
- 138390970968800 backwards is 008869079093831
- The number of decimal digits it has is: 15
- The sum of 138390970968800's digits is 71
- More coming soon!
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The information we have on file for 138390970968800 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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