138764593676800
138,764,593,676,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138764593676800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1920 divisors.
138764593676800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138764593676800:
29 × 52 × 73 × 13 × 19 × 41 × 3121
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 13 × 19 × 41 × 3121)See below for interesting mathematical facts about the number 138764593676800 from the Numbermatics database.
Names of 138764593676800
- Cardinal: 138764593676800 can be written as One hundred thirty-eight trillion, seven hundred sixty-four billion, five hundred ninety-three million, six hundred seventy-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.387645936768 × 1014
Factors of 138764593676800
Divisors of 138764593676800
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 19 20 25 26 28 32 35 38 40 41 49 50 52 56 64 65 70 76 80 82 91 95 98 100 104 112 128 130 133 140 152 160 164 175 182 190 196 200 205 208 224 245 247 256 260 266 280 287 304 320 325 328 343 350 364 380 392 400 410 416 448 455 475 490 494 512 520 532 533 560 574 608 637 640 650 656 665 686 700 728 760 779 784 800 820 832 896 910 931 950 980 988 1025 1040 1064 1066 1120 1148 1216 1225 1235 1274 1280 1300 1312 1330 1372 1400 1435 1456 1520 1558 1568 1600 1640 1664 1715 1729 1792 1820 1862 1900 1960 1976 2009 2050 2080 2128 2132 2240 2275 2296 2432 2450 2470 2548 2560 2600 2624 2660 2665 2744 2800 2870 2912 3040 3116 3121 3136 3185 3200 3280 3325 3328 3430 3458 3584 3640 3724 3731 3800 3895 3920 3952 4018 4100 4160 4256 4264 4459 4480 4550 4592 4655 4864 4900 4940 5096 5200 5248 5320 5330 5453 5488 5600 5740 5824 6080 6175 6232 6242 6272 6370 6400 6517 6560 6650 6656 6860 6916 7175 7280 7448 7462 7600 7790 7840 7904 8036 8200 8320 8512 8528 8575 8645 8918 8960 9100 9184 9310 9728 9800 9880 10045 10127 10192 10400 10496 10640 10660 10906 10976 11200 11480 11648 12103 12160 12350 12464 12484 12544 12740 12800 13034 13120 13300 13325 13720 13832 14063 14350 14560 14896 14924 15200 15580 15605 15680 15808 15925 16072 16400 16640 17024 17056 17150 17290 17836 17920 18200 18368 18620 18655 19475 19600 19760 20090 20254 20384 20800 20992 21280 21320 21812 21847 21952 22295 22400 22960 23275 23296 24206 24320 24700 24928 24968 25088 25480 26068 26117 26240 26600 26650 27265 27440 27664 28126 28700 29120 29792 29848 30400 31160 31210 31360 31616 31850 32144 32585 32800 33280 34048 34112 34300 34580 35672 36400 36736 37240 37310 38171 38950 39200 39520 40180 40508 40573 40768 41600 42560 42640 43225 43624 43694 43904 44590 44800 45920 46550 46592 48412 48640 49400 49856 49936 50225 50635 50960 52136 52234 52480 53200 53300 54530 54880 55328 56252 57400 58240 59299 59584 59696 60515 60800 62320 62420 62720 63232 63700 64288 65170 65600 68096 68224 68600 69160 70315 70889 71344 72800 73472 74480 74620 76342 77900 78025 78400 79040 80360 81016 81146 81536 83200 84721 85120 85280 86450 87248 87388 87808 89180 89600 91840 93100 93275 96824 98800 99712 99872 100450 101270 101920 104272 104468 104960 106400 106600 109060 109235 109760 110656 111475 112504 114800 116480 118598 119168 119392 121030 121600 124640 124840 125440 126464 127400 127961 128576 130340 130585 131200 136325 136448 137200 138320 140630 141778 142688 145600 146944 148960 149240 152684 152929 155800 156050 156800 158080 160720 162032 162292 162925 163072 166400 169442 170240 170560 172900 174496 174776 175616 178360 182819 183680 186200 186550 190855 193648 197600 199424 199744 200900 202540 202865 203840 208544 208936 212800 213200 218120 218470 219520 221312 222950 225008 229600 232960 237196 238336 238784 242060 243200 249280 249680 253175 254800 255922 257152 260680 261170 262400 267197 272650 272896 274400 276640 281260 283556 284011 285376 291200 296495 297920 298480 302575 305368 305858 311600 312100 313600 316160 321440 324064 324584 325850 326144 338884 340480 341120 345800 348992 349552 351575 354445 356720 365638 367360 372400 373100 381710 387296 395200 398848 399488 401800 405080 405730 407680 415093 417088 417872 423605 425600 426400 436240 436940 439040 442624 445900 450016 459200 474392 476672 477568 484120 496223 498560 499360 506350 509600 511844 514304 521360 522340 524800 534394 545300 546175 548800 553280 562520 567112 568022 570752 582400 592990 595840 596960 605150 610736 611716 623200 624200 627200 632320 639805 642880 648128 649168 651700 652925 677768 682240 691600 697984 699104 703150 708890 713440 731276 734720 744800 746200 763420 764645 770887 774592 790400 798976 803600 810160 811460 815360 830186 834176 835744 847210 851200 852800 872480 873880 878080 885248 891800 895727 900032 914095 918400 948784 954275 955136 968240 992446 997120 998720 1012700 1014325 1019200 1023688 1028608 1042720 1044680 1068788 1070503 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401285696 406791140 407555785 409475200 425470325 425854208 427515200 428201200 431696720 438906230 442489138 444615808 445329248 453689600 454417600 458612224 464904160 465778040 468016640 476526764 486251800 488588800 489372800 493367680 501607120 505701872 508488925 508947712 519334400 528828482 531319040 532317760 539620900 542214400 544602016 548097536 555769760 556661560 570578099 573265280 581130200 582222550 585020800 595658455 604375408 616709600 622402304 627008900 632127340 635165440 636184640 650865824 652089256 664148800 665397200 680752520 684024320 685121920 690714752 694712200 695826950 702249968 716581600 727068160 743846656 745244864 755469260 759027200 778002880 790159175 793956800 795230800 802571392 813582280 815111570 818950400 833921837 850940650 851708416 855030400 856402400 863393440 877812460 884978276 889231616 890658496 907379200 908835200 929808320 931556080 944336575 953053528 972503600 978745600 986735360 1003214240 1011403744 1016977850 1017895424 1057656964 1062638080 1064635520 1079241800 1084428800 1089204032 1097265575 1106222845 1111539520 1113323120 1141156198 1146530560 1162260400 1164445100 1170041600 1191316910 1208750816 1233419200 1244804608 1254017800 1264254680 1270330880 1272369280 1301731648 1304178512 1322071205 1328297600 1330794400 1361505040 1370243840 1381429504 1389424400 1391653900 1404499936 1433163200 1487693312 1490489728 1510938520 1548711983 1556005760 1580318350 1587913600 1590461600 1605142784 1627164560 1630223140 1637900800 1667843674 1701881300 1710060800 1712804800 1726786880 1755624920 1769956552 1778463232 1781316992 1817670400 1859616640 1863112160 1888673150 1906107056 1945007200 1957491200 1973470720 2006428480 2022807488 2033955700 2037778925 2115313928 2129271040 2158483600 2178408064 2194531150 2212445690 2223079040 2226646240 2282312396 2293061120 2324520800 2328890200 2340083200 2382633820 2417501632 2466838400 2508035600 2528509360 2544738560 2603463296 2608357024 2644142410 2656595200 2661588800 2723010080 2740487680 2762859008 2778848800 2783307800 2808999872 2852890495 2866326400 2978292275 2980979456 3021877040 3097423966 3112011520 3160636700 3175827200 3180923200 3210285568 3254329120 3260446280 3335687348 3403762600 3420121600 3425609600 3453573760 3511249840 3539913104 3562633984 3635340800 3719233280 3726224320 3777346300 3812214112 3890014400 4012856960 4045614976 4067911400 4075557850 4169609185 4230627856 4258542080 4316967200 4356816128 4389062300 4424891380 4446158080 4453292480 4564624792 4649041600 4657780400 4765267640 4835003264 4933676800 5016071200 5057018720 5089477120 5206926592 5216714048 5288284820 5313190400 5323177600 5446020160 5531114225 5557697600 5566615600 5617999744 5705780990 5732652800 5956584550 5961958912 6043754080 6194847932 6224023040 6321273400 6351654400 6361846400 6508658240 6520892560 6610356025 6671374696 6807525200 6851219200 6907147520 7022499680 7079826208 7125267968 7438466560 7452448640 7554692600 7624428224 7743559915 7780028800 8025713920 8091229952 8135822800 8151115700 8339218370 8461255712 8633934400 8713632256 8778124600 8849782760 8892316160 8906584960 9129249584 9298083200 9315560800 9530535280 9670006528 9867353600 10032142400 10114037440 10413853184 10433428096 10576569640 10646355200 10840983881 10892040320 11062228450 11115395200 11133231200 11235999488 11411561980 11465305600 11913169100 12087508160 12389695864 12642546800 12723692800 13017316480 13041785120 13220712050 13342749392 13615050400 13702438400 13814295040 14044999360 14159652416 14264452475 14904897280 15109385200 15248856448 15487119830 15560057600 16051427840 16182459904 16271645600 16302231400 16678436740 16922511424 17267868800 17556249200 17699565520 17813169920 18258499168 18596166400 18631121600 19061070560 19340013056 20064284800 20228074880 20848045925 20866856192 21153139280 21292710400 21681967762 21784080640 22124456900 22230790400 22266462400 22471998976 22823123960 23826338200 24175016320 24779391728 25285093600 25447385600 26034632960 26083570240 26441424100 26685498784 27230100800 28089998720 28319304832 28528904950 29809794560 30218770400 30497712896 30974239660 31120115200 32543291200 32604462800 33356873480 33845022848 34535737600 35112498400 35399131040 35626339840 36516998336 37192332800 37262243200 38122141120 38717799575 40128569600 40456149760 41696091850 41733712384 42306278560 43363935524 43568161280 44248913800 44461580800 44532924800 45646247920 47652676400 48350032640 49558783456 50570187200 52069265920 52167140480 52882848200 53370997568 54204919405 54460201600 56179997440 56638609664 57057809900 60437540800 60995425792 61948479320 65086582400 65208925600 66713746960 67690045696 69071475200 70224996800 70798262080 73033996672 74524486400 76244282240 77435599150 80257139200 80912299520 83392183700 84612557120 86727871048 88497827600 89065849600 91292495840 95305352800 96700065280 99117566912 101140374400 104334280960 105765696400 106741995136 108409838810 108920403200 112359994880 113277219328 114115619800 120875081600 123896958640 130173164800 130417851200 133427493920 135380091392 140449993600 141596524160 146067993344 149048972800 152488564480 154871198300 166784367400 169225114240 173455742096 176995655200 178131699200 182584991680 190610705600 198235133824 202280748800 208668561920 211531392800 213483990272 216819677620 217840806400 228231239600 241750163200 247793917280 260346329600 260835702400 266854987840 271024597025 280899987200 283193048320 292135986688 304977128960 309742396600 333568734800 338450228480 346911484192 353991310400 365169983360 381221411200 396470267648 404561497600 423062785600 426967980544 433639355240 456462479200 483500326400 495587834560 521671404800 533709975680 542049194050 561799974400 566386096640 619484793200 667137469600 676900456960 693822968384 707982620800 730339966720 762442822400 792940535296 846125571200 867278710480 912924958400 991175669120 1043342809600 1067419951360 1084098388100 1238969586400 1334274939200 1387645936768 1415965241600 1460679933440 1524885644800 1692251142400 1734557420960 1825849916800 1982351338240 2134839902720 2168196776200 2477939172800 2668549878400 2775291873536 2831930483200 3384502284800 3469114841920 3651699833600 3964702676480 4336393552400 4955878345600 5337099756800 5550583747072 6938229683840 7303399667200 8672787104800 9911756691200 10674199513600 13876459367680 17345574209600 19823513382400 27752918735360 34691148419200 69382296838400 138764593676800
- Sum of all divisors σ(n): 465733566144000
- Sum of proper divisors (its aliquot sum) s(n): 326968972467200
- 138764593676800 is an abundant number, because the sum of its proper divisors (326968972467200) is greater than itself. Its abundance is 188204378790400
Bases of 138764593676800
- Binary: 111111000110100101001100101000001000010000000002
- Hexadecimal: 0x7E34A6504200
- Base-36: 1D6RKOA29S
Squares and roots of 138764593676800
- 138764593676800 squared (1387645936768002) is 19255612458287402542858240000
- 138764593676800 cubed (1387645936768003) is 2671997238772179402655802771302776832000000
-
The
square root of 138764593676800 is 11779838.4401824459 -
The
cube root of 138764593676800 is 51771.7552568999
Scales and comparisons
How big is 138764593676800?- 138,764,593,676,800 seconds is equal to 4,412,284 years, 44 weeks, 2 days, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 138,764,593,676,800 would take you about eleven million, thirty thousand, seven hundred 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 138764593676800 cubic inches would be around 4314.3 feet tall.
Recreational maths with 138764593676800
- 138764593676800 backwards is 008676395467831
- The number of decimal digits it has is: 15
- The sum of 138764593676800's digits is 73
- More coming soon!
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"Number 138764593676800 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 138764593676800 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/138764593676800/
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The information we have on file for 138764593676800 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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