21144982834124800

Names of 21144982834124800

• Cardinal: 21144982834124800 can be written as Twenty-one quadrillion, one hundred forty-four trillion, nine hundred eighty-two billion, eight hundred thirty-four million, one hundred twenty-four thousand, eight hundred.

Scientific notation

• Scientific notation: 2.11449828341248 × 10¹⁶

Factors of 21144982834124800

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 262942

Divisors of 21144982834124800

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 50 56 64 68 70 73 80 85 100 112 119 128 136 140 146 160 170 175 181 200 224 238 256 272 280 292 320 340 350 362 365 400 425 448 476 511 512 544 560 584 595 640 680 700 724 730 800 850 896 905 952 1022 1024 1088 1120 1168 1190 1241 1267 1280 1360 1400 1448 1460 1600 1700 1792 1810 1825 1904 2044 2048 2176 2240 2336 2380 2482 2534 2555 2560 2720 2800 2896 2920 2975 3077 3200 3400 3584 3620 3650 3808 4088 4352 4480 4525 4672 4760 4964 5068 5110 5120 5440 5600 5792 5840 5950 6154 6205 6335 6400 6800 7168 7240 7300 7616 8176 8687 8704 8960 9050 9344 9520 9928 10136 10220 10240 10880 11200 11584 11680 11900 12308 12410 12670 12775 12800 13213 13600 14336 14480 14600 15232 15385 16352 17374 17408 17920 18100 18688 19040 19856 20272 20440 21539 21760 22400 23168 23360 23800 24616 24820 25340 25550 25600 26426 27200 28960 29200 30464 30770 31025 31675 32704 34748 34816 35840 36200 37376 38080 39712 40544 40880 43078 43435 43520 44800 46336 46720 47600 49232 49640 50680 51100 51200 52852 54400 57920 58400 60928 61540 62050 63350 65408 66065 69496 71680 72400 74752 76160 76925 79424 81088 81760 86156 86870 87040 89600 92491 92672 93440 95200 98464 99280 101360 102200 105704 107695 108800 115840 116800 121856 123080 124100 126700 130816 132130 138992 144800 149504 152320 153850 158848 162176 163520 172312 173740 174080 179200 184982 185344 186880 190400 196928 198560 202720 204400 211408 215390 217175 217600 224621 231680 233600 243712 246160 248200 253400 261632 262657 264260 277984 289600 304640 307700 317696 324352 327040 330325 344624 347480 358400 369964 370688 373760 380800 393856 397120 405440 408800 422816 430780 434350 435200 449242 462455 463360 467200 492320 496400 506800 523264 525314 528520 538475 555968 579200 609280 615400 635392 648704 654080 660650 689248 694960 739928 747520 761600 787712 794240 810880 817600 845632 861560 868700 870400 898484 924910 926720 934400 984640 992800 1013600 1046528 1050628 1057040 1076950 1111936 1123105 1158400 1218560 1230800 1270784 1297408 1308160 1313285 1321300 1378496 1389920 1479856 1523200 1572347 1575424 1588480 1621760 1635200 1691264 1723120 1737400 1796968 1838599 1849820 1853440 1868800 1969280 1985600 2027200 2101256 2114080 2153900 2223872 2246210 2312275 2316800 2461600 2541568 2594816 2616320 2626570 2642600 2756992 2779840 2959712 3046400 3144694 3150848 3176960 3243520 3270400 3382528 3446240 3474800 3593936 3677198 3699640 3737600 3938560 3971200 4054400 4202512 4228160 4307800 4447744 4465169 4492420 4624550 4633600 4923200 5232640 5253140 5285200 5513984 5559680 5615525 5919424 6092800 6289388 6301696 6353920 6487040 6540800 6566425 6765056 6892480 6949600 7187872 7354396 7399280 7861735 7877120 7942400 8108800 8405024 8456320 8615600 8895488 8930338 8984840 9192995 9249100 9267200 9846400 10506280 10570400 11027968 11119360 11231050 11838848 12578776 12707840 12974080 13081600 13132850 13530112 13784960 13899200 14375744 14708792 14798560 15723470 15754240 15884800 16217600 16810048 16912640 17231200 17790976 17860676 17969680 18385990 18498200 19173961 19692800 21012560 21140800 22055936 22238720 22325845 22462100 23677696 25157552 26163200 26265700 27060224 27569920 27798400 28751488 29417584 29597120 31256183 31446940 31508480 31769600 32435200 33620096 33825280 34462400 35721352 35939360 36771980 36996400 38347922 39308675 39385600 42025120 42281600 44111872 44477440 44651690 44924200 45964975 47355392 47540917 50315104 52531400 55139840 55596800 57502976 58835168 59194240 62512366 62893880 63539200 64870400 67240192 67650560 68924800 71442704 71878720 73543960 73992800 76695844 78617350 78771200 84050240 84563200 88954880 89303380 89848400 91929950 94710784 95081834 95869805 100630208 105062800 110279680 111193600 111629225 115005952 117670336 118388480 125024732 125787760 134217727 134480384 135301120 137849600 142885408 143757440 147087920 147985600 153391688 156280915 157234700 157542400 168100480 169126400 178606760 179696800 183859900 189421568 190163668 191739610 201260416 210125600 220559360 222387200 223258450 230011904 235340672 236776960 237704585 250049464 251575520 268435454 268960768 275699200 285770816 287514880 294175840 295971200 306783376 312561830 314469400 325957337 332786419 336200960 338252800 357213520 359393600 367719800 380327336 383479220 402520832 420251200 444774400 446516900 460023808 470681344 473553920 475409170 479349025 500098928 503151040 536870908 537921536 551398400 571541632 575029760 588351680 591942400 613566752 625123660 628938800 651914674 665572838 671088635 672401920 676505600 714427040 718787200 735439600 760654672 766958440 781404575 805041664 808195589 840502400 893033800 941362688 947107840 950818340 958698050 1000197856 1006302080 1073741816 1102796800 1143083264 1150059520 1176703360 1183884800 1188522925 1227133504 1250247320 1257877600 1303829348 1331145676 1342177270 1344803840 1428854080 1437574400 1470879200 1521309344 1533916880 1562809150 1610083328 1616391178 1629786685 1663932095 1681004800 1786067600 1882725376 1901636680 1917396100 2000395712 2012604160 2147483632 2281701359 2286166528 2300119040 2353406720 2367769600 2377045850 2454267008 2500494640 2515755200 2607658696 2662291352 2684354540 2689607680 2857708160 2875148800 2941758400 3042618688 3067833760 3125618300 3220166656 3232782356 3259573370 3327864190 3355443175 3362009600 3470486941 3572135200 3765450752 3803273360 3834792200 4000791424 4025208320 4040977945 4294967264 4563402718 4572333056 4706813440 4735539200 4754091700 4908534016 5000989280 5031510400 5215317392 5324582704 5368709080 5657369123 5715416320 5750297600 5883516800 6085237376 6135667520 6251236600 6465564712 6519146740 6655728380 6710886350 6724019200 6940973882 7144270400 7606546720 7669584400 8001582848 8050416640 8081955890 8148933425 8319660475 8589934528 9126805436 9144666112 9413626880 9508183400 9817068032 10001978560 10063020800 10430634784 10649165408 10737418160 11314738246 11408506795 11430832640 11500595200 11767033600 12170474752 12271335040 12502473200 12931129424 13038293480 13311456760 13421772700 13448038400 13881947764 14288540800 15213093440 15339168800 16003165696 16100833280 16163911780 16297866850 16639320950 17179869056 17352434705 18253610872 18827253760 19016366800 19634136064 20003957120 20126041600 20204889725 20861269568 21298330816 21474836320 22629476492 22817013590 22861665280 23534067200 24293408587 24340949504 24542670080 25004946400 25862258848 26076586960 26622913520 26843545400 27763895528 28286845615 28577081600 30426186880 30678337600 32006331392 32327823560 32595733700 33278641900 34359738112 34704869410 36507221744 38032733600 39268272128 40007914240 40252083200 40409779450 41722539136 42596661632 42949672640 45258952984 45634027180 45723330560 47068134400 48586817174 48681899008 49085340160 50009892800 51724517696 52153173920 53245827040 53687090800 55527791056 56573691230 57042533975 57154163200 58998277997 60852373760 61356675200 64012662784 64655647120 65191467400 66557283800 68719476224 69409738820 73014443488 76065467200 80015828480 80504166400 80819558900 83445078272 85193323264 85899345280 86762173525 90517905968 91268054360 94136268800 97173634348 97363798016 98170680320 100019785600 103449035392 104306347840 106491654080 107374181600 111055582112 113147382460 114085067950 114308326400 117996555994 121467042935 121704747520 122713350400 129311294240 130382934800 133114567600 137438952448 138819477640 141434228075 146028886976 152130934400 160031656960 161639117800 166890156544 170386646528 171798690560 173524347050 181035811936 182536108720 194347268696 196341360640 200039571200 206898070784 208612695680 212983308160 214748363200 222111164224 226294764920 228170135900 228616652800 235993111988 242934085870 243409495040 245426700800 258622588480 260765869600 266229135200 274877904896 277638955280 282868456150 292057773952 294991389985 304261868800 320063313920 323278235600 333780313088 340773293056 343597381120 347048694100 362071623872 365072217440 388694537392 400079142400 412987945979 413796141568 417225391360 425966616320 429496726400 444222328448 452589529840 456340271800 471986223976 485868171740 486818990080 490853401600 517245176960 521531739200 532458270400 555277910560 565736912300 584115547904 589982779970 607335214675 608523737600 646556471200 667560626176 681546586112 687194762240 694097388200 724143247744 730144434880 777389074784 800158284800 825975891958 827592283136 834450782720 851933232640 858993452800 888444656896 905179059680 912680543600 943972447952 971736343480 981706803200 1034490353920 1043063478400 1064916540800 1110555821120 1131473824600 1168231095808 1179965559940 1214670429350 1217047475200 1293112942400 1374389524480 1388194776400 1448286495488 1460288869760 1474956949925 1554778149568 1600316569600 1651951783916 1655184566272 1668901565440 1703866465280 1717986905600 1776889313792 1810358119360 1825361087200 1887944895904 1943472686960 2064939729895 2068980707840 2086126956800 2129833081600 2221111642240 2262947649200 2336462191616 2359931119880 2429340858700 2434094950400 2586225884800 2776389552800 2896572990976 2920577739520 2949913899850 3109556299136 3303903567832 3337803130880 3407732930560 3435973811200 3553778627584 3620716238720 3650722174400 3775889791808 3886945373920 4129879459790 4137961415680 4172253913600 4259666163200 4442223284480 4525895298400 4672924383232 4719862239760 4858681717400 5172451769600 5552779105600 5793145981952 5841155479040 5899827799700 6219112598272 6607807135664 6871947622400 7107557255168 7241432477440 7301444348800 7551779583616 7773890747840 8259758919580 8275922831360 8344507827200 8519332326400 8884446568960 9051790596800 9439724479520 9717363434800 10324698649475 10344903539200 11105558211200 11586291963904 11682310958080 11799655599400 12438225196544 13215614271328 14482864954880 14602888697600 15103559167232 15547781495680 16519517839160 16689015654400 17038664652800 17768893137920 18103581193600 18879448959040 19434726869600 20649397298950 20689807078400 22211116422400 23364621916160 23599311198800 24876450393088 26431228542656 28965729909760 29205777395200 30207118334464 31095562991360 33039035678320 35537786275840 36207162387200 37758897918080 38869453739200 41298794597900 41379614156800 44422232844800 47198622397600 49752900786176 52862457085312 57931459819520 58411554790400 60414236668928 62191125982720 66078071356640 72414324774400 75517795836160 77738907478400 82597589195800 88844465689600 94397244795200 105724914170624 116823109580800 120828473337856 124382251965440 132156142713280 144828649548800 151035591672320 155477814956800 165195178391600 177688931379200 188794489590400 211449828341248 248764503930880 264312285426560 289657299097600 302071183344640 310955629913600 330390356783200 377588979180800 422899656682496 528624570853120 604142366689280 621911259827200 660780713566400 755177958361600 845799313364992 1057249141706240 1243822519654400 1321561427132800 1510355916723200 2114498283412480 2643122854265600 3020711833446400 4228996566824960 5286245708531200 10572491417062400 21144982834124800
• Sum of all divisors σ(n): 64665379814555520
• Sum of proper divisors (its aliquot sum) s(n): 43520396980430720
• 21144982834124800 is an abundant number, because the sum of its proper divisors (43520396980430720) is greater than itself. Its abundance is 22375414146305920

Bases of 21144982834124800

• Binary: 1001011000111110011111111110110100111000001100000000000₂
• Hexadecimal: 0x4B1F3FF69C1800
• Base-36: 5S79R0G5R0G

Squares and roots of 21144982834124800

• 21144982834124800 squared (21144982834124800²) is 447110299055432459271381975040000
• 21144982834124800 cubed (21144982834124800³) is 9454139598487525131061893980594884933844992000000
• The square root of 21144982834124800 is 145413145.3278031531
• The cube root of 21144982834124800 is 276525.8773881377

Scales and comparisons

• 21,144,982,834,124,800 seconds is equal to 672,345,048 years, 20 weeks, 5 days, 4 hours, 26 minutes, 40 seconds.
• To count from 1 to 21,144,982,834,124,800 would take you about two billion, seventeen million, thirty-five thousand, one hundred forty-five 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 21144982834124800 cubic inches would be around 23043.8 feet tall.

Recreational maths with 21144982834124800

• 21144982834124800 backwards is 00842143828944112
• The number of decimal digits it has is: 17
• The sum of 21144982834124800's digits is 61
• More coming soon!