21137957703206400
21,137,957,703,206,400 is an even composite number composed of eight prime numbers multiplied together.
What does the number 21137957703206400 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1920 divisors.
21137957703206400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 21137957703206400:
29 × 3 × 52 × 7 × 17 × 137 × 439 × 76913
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 17 × 137 × 439 × 76913)See below for interesting mathematical facts about the number 21137957703206400 from the Numbermatics database.
Names of 21137957703206400
- Cardinal: 21137957703206400 can be written as Twenty-one quadrillion, one hundred thirty-seven trillion, nine hundred fifty-seven billion, seven hundred three million, two hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 2.11379577032064 × 1016
Factors of 21137957703206400
Divisors of 21137957703206400
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 25 28 30 32 34 35 40 42 48 50 51 56 60 64 68 70 75 80 84 85 96 100 102 105 112 119 120 128 136 137 140 150 160 168 170 175 192 200 204 210 224 238 240 255 256 272 274 280 300 320 336 340 350 357 384 400 408 411 420 425 439 448 476 480 510 512 525 544 548 560 595 600 640 672 680 685 700 714 768 800 816 822 840 850 878 896 952 959 960 1020 1050 1088 1096 1120 1190 1200 1275 1280 1317 1344 1360 1370 1400 1428 1536 1600 1632 1644 1680 1700 1756 1785 1792 1904 1918 1920 2040 2055 2100 2176 2192 2195 2240 2329 2380 2400 2550 2560 2634 2688 2720 2740 2800 2856 2877 2975 3073 3200 3264 3288 3360 3400 3425 3512 3570 3584 3808 3836 3840 4080 4110 4200 4352 4384 4390 4480 4658 4760 4795 4800 5100 5268 5376 5440 5480 5600 5712 5754 5950 6146 6400 6528 6576 6585 6720 6800 6850 6987 7024 7140 7463 7616 7672 7680 8160 8220 8400 8704 8768 8780 8925 8960 9219 9316 9520 9590 9600 10200 10275 10536 10752 10880 10960 10975 11200 11424 11508 11645 11900 12292 12800 13056 13152 13170 13440 13600 13700 13974 14048 14280 14385 14926 15232 15344 15365 16303 16320 16440 16800 17536 17560 17850 17920 18438 18632 19040 19180 19200 20400 20550 21072 21760 21920 21950 22389 22400 22848 23016 23290 23800 23975 24584 26112 26304 26340 26880 27200 27400 27948 28096 28560 28770 29852 30464 30688 30730 32606 32640 32880 32925 33600 34935 35072 35120 35700 36876 37264 37315 38080 38360 38400 40800 41100 42144 43520 43840 43900 44778 44800 45696 46032 46095 46580 47600 47950 48909 49168 52241 52608 52680 53760 54400 54800 55896 56192 57120 57540 58225 59704 60143 60928 61376 61460 65212 65280 65760 65850 67200 69870 70144 70240 71400 71925 73752 74528 74630 76160 76720 76825 76913 81515 81600 82200 84288 87680 87800 89556 89600 91392 92064 92190 93160 95200 95900 97818 98336 104482 105216 105360 108800 109600 111792 111945 112384 114240 115080 116450 119408 120286 122752 122920 130424 130560 131520 131700 134400 139740 140480 142800 143850 147504 149056 149260 152320 153440 153650 153826 156723 163030 163200 164400 168576 174675 175360 175600 179112 180429 182784 184128 184380 186320 186575 190400 191800 195636 196672 208964 210432 210720 217600 219200 223584 223890 224768 228480 230160 230475 230739 232900 238816 240572 244545 245504 245840 260848 261205 263040 263400 268800 279480 280960 285600 287700 295008 298112 298520 300715 304640 306880 307300 307652 313446 326060 326400 328800 337152 349350 350720 351200 358224 360858 368256 368760 372640 373150 380800 383600 384565 391272 393344 407575 417928 421001 421440 438400 447168 447780 456960 460320 460950 461478 465800 477632 481144 489090 491008 491680 521696 522410 526080 526800 538391 558960 559725 561920 571200 575400 590016 596224 597040 601430 613760 614600 615304 626892 652120 652800 657600 674304 698700 702400 716448 721716 736512 737520 745280 746300 761600 767200 769130 782544 783615 786688 815150 835856 842002 842880 876800 894336 895560 902145 913920 920640 921900 922956 931600 955264 962288 978180 983360 1022431 1043392 1044820 1052160 1053600 1076782 1117920 1119450 1123840 1142400 1150800 1153695 1180032 1192448 1194080 1202860 1222725 1227520 1229200 1230608 1253784 1263003 1304240 1306025 1307521 1315200 1397400 1404800 1432896 1443432 1473024 1475040 1490560 1492600 1503575 1523200 1534400 1538260 1565088 1567230 1573376 1615173 1630300 1671712 1684004 1685760 1753600 1788672 1791120 1804290 1841280 1843800 1845912 1863200 1910528 1922825 1924576 1956360 1966720 2044862 2086784 2089640 2105005 2107200 2153564 2235840 2238900 2284800 2301600 2307390 2360064 2388160 2405720 2445450 2455040 2458400 2461216 2507568 2526006 2608480 2612050 2615042 2630400 2691955 2794800 2809600 2865792 2886864 2950080 2981120 2985200 3007150 3067293 3068800 3076520 3130176 3134460 3230346 3260600 3343424 3368008 3371520 3577344 3582240 3608580 3682560 3687600 3691824 3726400 3821056 3845650 3849152 3912720 3918075 3922563 3933440 4089724 4173568 4179280 4210010 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137572129536 137760412560 138773356770 141618368640 141812189400 143304301600 146944440064 148024913888 150469516680 151266335360 157276471006 160500817792 160720481320 161902249565 162071073600 171965161920 172200515700 175730822400 177022960800 181519602432 183680550080 185031142360 188086895850 188824491520 189082919200 192864577584 194282699478 200626022240 200900601650 202311955200 214956452400 216094764800 220416660096 222037370832 226899503040 229286882560 229600687600 231288927950 235914706509 236030614400 240751226688 241080721980 250782527800 257152770112 259043599304 259313717760 274829452800 275144259072 275520825120 277546713540 283236737280 283624378800 286608603200 293888880128 296049827776 300939033360 301350902475 302532670720 314552942012 321001635584 321440962640 323804499130 324142147200 343930323840 344401031400 346933391925 351461644800 354045921600 363039204864 367361100160 370062284720 376173791700 378165838400 385729155168 388565398956 393191177515 401252044480 401801203300 404623910400 429912904800 432189529600 440833320192 444074741664 453799006080 458573765120 459201375200 462577855900 471829413018 472061228800 481502453376 482161443960 485706748695 501565055600 514305540224 518087198608 550467648521 551041650240 555093427080 566473474560 567248757600 573217206400 592099655552 601878066720 602701804950 605065341440 629105884024 642003271168 642881925280 647608998260 648284294400 687860647680 688802062800 693866783850 708091843200 734722200320 740124569440 752347583400 756331676800 771458310336 777130797912 786382355030 802504088960 803602406600 809511247825 859825809600 881666640384 888149483328 907598012160 918402750400 925155711800 943658826036 944122457600 963004906752 964322887920 971413497390 1003130111200 1028611080448 1036174397216 1100935297042 1102083300480 1110186854160 1134497515200 1146434412800 1179573532545 1184199311104 1203756133440 1205403609900 1258211768048 1285763850560 1295217996520 1296568588800 1375721295360 1377604125600 1387733567700 1416183686400 1469444400640 1480249138880 1504695166800 1512663353600 1542916620672 1554261595824 1572764710060 1605008177920 1607204813200 1619022495650 1651402945563 1719651619200 1776298966656 1815196024320 1836805500800 1850311423600 1887317652072 1926009813504 1928645775840 1942826994780 1965955887575 2006260222400 2057222160896 2072348794432 2201870594084 2204166600960 2220373708320 2268995030400 2292868825600 2359147065090 2368398622208 2407512266880 2410807219800 2428533743475 2516423536096 2571527701120 2590435993040 2752338242605 2755208251200 2775467135400 2832367372800 2960498277760 3009390333600 3025326707200 3085833241344 3108523191648 3145529420120 3210016355840 3214409626400 3238044991300 3302805891126 3439303238400 3552597933312 3673611001600 3700622847200 3774635304144 3857291551680 3885653989560 3931911775150 4012520444800 4144697588864 4403741188168 4408333201920 4440747416640 4537990060800 4718294130180 4815024533760 4821614439600 4857067486950 5032847072192 5143055402240 5180871986080 5504676485210 5510416502400 5550934270800 5897867662725 5920996555520 6018780667200 6171666482688 6217046383296 6291058840240 6428819252800 6476089982600 6605611782252 6878606476800 7105195866624 7347222003200 7401245694400 7549270608288 7714583103360 7771307979120 7863823550300 8025040889600 8257014727815 8289395177728 8807482376336 8881494833280 9075980121600 9436588260360 9630049067520 9643228879200 9714134973900 10065694144384 10286110804480 10361743972160 11009352970420 11020833004800 11101868541600 11795735325450 11841993111040 12037561334400 12434092766592 12582117680480 12857638505600 12952179965200 13211223564504 13761691213025 14802491388800 15098541216576 15429166206720 15542615958240 15727647100600 16050081779200 16514029455630 16578790355456 17614964752672 17762989666560 18873176520720 19286457758400 19428269947800 20131388288768 20723487944320 22018705940840 22041666009600 22203737083200 23591470650900 24075122668800 24868185533184 25164235360960 25715277011200 25904359930400 26422447129008 27523382426050 29604982777600 30197082433152 30858332413440 31085231916480 31455294201200 33028058911260 35229929505344 35525979333120 37746353041440 38572915516800 38856539895600 40262776577536 41285073639075 41446975888640 44037411881680 44407474166400 47182941301800 48150245337600 49736371066368 50328470721920 51430554022400 51808719860800 52844894258016 55046764852100 59209965555200 60394164866304 62170463832960 62910588402400 66056117822520 70459859010688 75492706082880 77145831033600 77713079791200 82570147278150 82893951777280 88074823763360 88814948332800 94365882603600 100656941443840 103617439721600 105689788516032 110093529704200 120788329732608 124340927665920 125821176804800 132112235645040 140919718021376 150985412165760 154291662067200 155426159582400 165140294556300 176149647526720 177629896665600 188731765207200 201313882887680 207234879443200 211379577032064 220187059408400 248681855331840 251642353609600 264224471290080 281839436042752 301970824331520 310852319164800 330280589112600 352299295053440 377463530414400 414469758886400 422759154064128 440374118816800 503284707219200 528448942580160 603941648663040 621704638329600 660561178225200 704598590106880 754927060828800 845518308128256 880748237633600 1006569414438400 1056897885160320 1243409276659200 1321122356450400 1409197180213760 1509854121657600 1761496475267200 2113795770320640 2642244712900800 3019708243315200 3522992950534400 4227591540641280 5284489425801600 7045985901068800 10568978851603200 21137957703206400
- Sum of all divisors σ(n): 85309416559319040
- Sum of proper divisors (its aliquot sum) s(n): 64171458856112640
- 21137957703206400 is an abundant number, because the sum of its proper divisors (64171458856112640) is greater than itself. Its abundance is 43033501152906240
Bases of 21137957703206400
- Binary: 10010110001100011011100010011000010110101000110000000002
- Hexadecimal: 0x4B18DC4C2D4600
- Base-36: 5S4S3PMLEDC
Squares and roots of 21137957703206400
- 21137957703206400 squared (211379577032064002) is 446813255862542785148841000960000
- 21137957703206400 cubed (211379577032064003) is 9444719703654368430514046468619383177478144000000
-
The
square root of 21137957703206400 is 145388987.5582273941 -
The
cube root of 21137957703206400 is 276495.2500176735
Scales and comparisons
How big is 21137957703206400?- 21,137,957,703,206,400 seconds is equal to 672,121,670 years, 50 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 21,137,957,703,206,400 would take you about two billion, sixteen million, three hundred sixty-five 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 21137957703206400 cubic inches would be around 23041.3 feet tall.
Recreational maths with 21137957703206400
- 21137957703206400 backwards is 00460230775973112
- The number of decimal digits it has is: 17
- The sum of 21137957703206400's digits is 57
- More coming soon!
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The information we have on file for 21137957703206400 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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