21142290558432000

Names of 21142290558432000

• Cardinal: 21142290558432000 can be written as Twenty-one quadrillion, one hundred forty-two trillion, two hundred ninety billion, five hundred fifty-eight million, four hundred thirty-two thousand.

Scientific notation

• Scientific notation: 2.1142290558432 × 10¹⁶

Factors of 21142290558432000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 350130737

Divisors of 21142290558432000

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 37 40 48 50 51 60 64 68 74 75 80 85 96 100 102 111 120 125 128 136 148 150 160 170 185 192 200 204 222 240 250 255 256 272 296 300 320 340 370 375 384 400 408 425 444 480 500 510 544 555 592 600 629 640 680 740 750 768 800 816 850 888 925 960 1000 1020 1088 1110 1184 1200 1258 1275 1280 1360 1480 1500 1600 1632 1700 1776 1850 1887 1920 2000 2040 2125 2176 2220 2368 2400 2516 2550 2720 2775 2960 3000 3145 3200 3264 3400 3552 3700 3774 3840 4000 4080 4250 4352 4440 4625 4736 4800 5032 5100 5440 5550 5920 6000 6290 6375 6400 6528 6800 7104 7400 7548 8000 8160 8500 8880 9250 9435 9472 9600 10064 10200 10880 11100 11840 12000 12580 12750 13056 13600 13875 14208 14800 15096 15725 16000 16320 17000 17760 18500 18870 19200 20128 20400 21760 22200 23680 24000 25160 25500 27200 27750 28416 29600 30192 31450 32000 32640 34000 35520 37000 37740 40256 40800 44400 47175 47360 48000 50320 51000 54400 55500 59200 60384 62900 65280 68000 71040 74000 75480 78625 80512 81600 88800 94350 96000 100640 102000 108800 111000 118400 120768 125800 136000 142080 148000 150960 157250 161024 163200 177600 188700 201280 204000 222000 235875 236800 241536 251600 272000 296000 301920 314500 326400 355200 377400 402560 408000 444000 471750 483072 503200 544000 592000 603840 629000 710400 754800 805120 816000 888000 943500 1006400 1184000 1207680 1258000 1509600 1632000 1776000 1887000 2012800 2415360 2516000 3019200 3552000 3774000 4025600 5032000 6038400 7548000 10064000 12076800 15096000 20128000 30192000 60384000 350130673 700261346 1050392019 1400522692 1750653365 2100784038 2801045384 3501306730 4201568076 5251960095 5602090768 5952221441 7002613460 8403136152 8753266825 10503920190 11204181536 11904442882 12954834901 14005226920 16806272304 17506533650 17856664323 21007840380 22408363072 23808885764 25909669802 26259800475 28010453840 29761107205 33612544608 35013067300 35713328646 38864504703 42015680760 43766334125 44816726144 47617771528 51819339604 52519600950 56020907680 59522214410 64774174505 67225089216 70026134600 71426657292 77729009406 84031361520 87532668250 89283321615 89633452288 95235543056 103638679208 105039201900 112041815360 119044428820 129548349010 131299002375 134450178432 140052269200 142853314584 148805536025 155458018812 168062723040 175065336500 178566643230 190471086112 194322523515 207277358416 210078403800 220232193317 224083630720 238088857640 259096698020 262598004750 268900356864 280104538400 285706629168 297611072050 310916037624 323870872525 336125446080 350130673000 357133286460 380942172224 388645047030 414554716832 420156807600 440464386634 446416608075 448167261440 476177715280 518193396040 525196009500 560209076800 571413258336 595222144100 621832075248 647741745050 660696579951 672250892160 700261346000 714266572920 744027680125 761884344448 777290094060 829109433664 840313615200 880928773268 892833216150 952355430560 971612617575 1036386792080 1050392019000 1101160966585 1120418153600 1142826516672 1190444288200 1243664150496 1295483490100 1321393159902 1344501784320 1400522692000 1428533145840 1488055360250 1523768688896 1554580188120 1619354362625 1658218867328 1680627230400 1761857546536 1785666432300 1904710861120 1943225235150 2072773584160 2100784038000 2202321933170 2232083040375 2240836307200 2285653033344 2380888576400 2487328300992 2590966980200 2642786319804 2801045384000 2857066291680 2976110720500 3109160376240 3238708725250 3303482899755 3316437734656 3361254460800 3523715093072 3571332864600 3809421722240 3886450470300 4145547168320 4201568076000 4404643866340 4464166080750 4571306066688 4761777152800 4858063087875 4974656601984 5181933960400 5285572639608 5505804832925 5602090768000 5714132583360 5952221441000 6218320752480 6477417450500 6606965799510 6722508921600 7047430186144 7142665729200 7618843444480 7772900940600 8291094336640 8403136152000 8809287732680 8928332161500 9523554305600 9716126175750 9949313203968 10363867920800 10571145279216 11011609665850 11204181536000 11428265166720 11904442882000 12436641504960 12954834901000 13213931599020 14094860372288 14285331458400 15545801881200 16517414498775 16582188673280 16806272304000 17618575465360 17856664323000 19047108611200 19432252351500 20727735841600 21142290558432 22023219331700 22856530333440 23808885764000 24873283009920 25909669802000 26427863198040 27529024164625 28189720744576 28570662916800 31091603762400 33034828997550 33612544608000 35237150930720 35713328646000 38094217222400 38864504703000 41455471683200 42284581116864 44046438663400 47617771528000 49746566019840 51819339604000 52855726396080 55058048329250 56379441489152 57141325833600 62183207524800 66069657995100 70474301861440 71426657292000 77729009406000 82587072493875 82910943366400 84569162233728 88092877326800 95235543056000 103638679208000 105711452792160 110116096658500 114282651667200 124366415049600 132139315990200 140948603722880 142853314584000 155458018812000 165174144987750 169138324467456 176185754653600 190471086112000 207277358416000 211422905584320 220232193317000 248732830099200 264278631980400 281897207445760 285706629168000 310916037624000 330348289975500 352371509307200 414554716832000 422845811168640 440464386634000 528557263960800 571413258336000 621832075248000 660696579951000 704743018614400 845691622337280 880928773268000 1057114527921600 1243664150496000 1321393159902000 1409486037228800 1761857546536000 2114229055843200 2642786319804000 3523715093072000 4228458111686400 5285572639608000 7047430186144000 10571145279216000 21142290558432000
• Sum of all divisors σ(n): 76364541988285824
• Sum of proper divisors (its aliquot sum) s(n): 55222251429853824
• 21142290558432000 is an abundant number, because the sum of its proper divisors (55222251429853824) is greater than itself. Its abundance is 34079960871421824

Bases of 21142290558432000

• Binary: 1001011000111001100110100011110011110010011001100000000₂
• Hexadecimal: 0x4B1CCD1E793300
• Base-36: 5S6BE74Q39C

Squares and roots of 21142290558432000

• 21142290558432000 squared (21142290558432000²) is 446996450057162890406298624000000
• 21142290558432000 cubed (21142290558432000³) is 9450528825696176004529770550579113197568000000000
• The square root of 21142290558432000 is 145403887.7005425875
• The cube root of 21142290558432000 is 276514.1407111961

Scales and comparisons

• 21,142,290,558,432,000 seconds is equal to 672,259,442 years, 18 weeks, 4 days, 21 hours, 20 minutes.
• To count from 1 to 21,142,290,558,432,000 would take you about two billion, sixteen million, seven hundred seventy-eight thousand, three hundred twenty-seven 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 21142290558432000 cubic inches would be around 23042.8 feet tall.

Recreational maths with 21142290558432000

• 21142290558432000 backwards is 00023485509224112
• 21142290558432000 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 21142290558432000's digits is 48
• More coming soon!