42255819984000
42,255,819,984,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42255819984000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1024 divisors.
42255819984000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 42255819984000:
27 × 3 × 53 × 7 × 43 × 127 × 23029
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 43 × 127 × 23029)See below for interesting mathematical facts about the number 42255819984000 from the Numbermatics database.
Names of 42255819984000
- Cardinal: 42255819984000 can be written as Forty-two trillion, two hundred fifty-five billion, eight hundred nineteen million, nine hundred eighty-four thousand.
Scientific notation
- Scientific notation: 4.2255819984 × 1013
Factors of 42255819984000
Divisors of 42255819984000
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 43 48 50 56 60 64 70 75 80 84 86 96 100 105 112 120 125 127 128 129 140 150 160 168 172 175 192 200 210 215 224 240 250 254 258 280 300 301 320 336 344 350 375 381 384 400 420 430 448 480 500 508 516 525 560 600 602 635 640 645 672 688 700 750 762 800 840 860 875 889 896 903 960 1000 1016 1032 1050 1075 1120 1200 1204 1270 1290 1344 1376 1400 1500 1505 1524 1600 1680 1720 1750 1778 1806 1905 1920 2000 2032 2064 2100 2150 2240 2400 2408 2540 2580 2625 2667 2688 2752 2800 3000 3010 3048 3175 3200 3225 3360 3440 3500 3556 3612 3810 4000 4064 4128 4200 4300 4445 4480 4515 4800 4816 5080 5160 5250 5334 5375 5461 5504 5600 6000 6020 6096 6350 6450 6720 6880 7000 7112 7224 7525 7620 8000 8128 8256 8400 8600 8890 9030 9525 9600 9632 10160 10320 10500 10668 10750 10922 11200 12000 12040 12192 12700 12900 13335 13440 13760 14000 14224 14448 15050 15240 15875 16000 16125 16256 16383 16512 16800 17200 17780 18060 19050 19264 20320 20640 21000 21336 21500 21844 22225 22400 22575 23029 24000 24080 24384 25400 25800 26670 27305 27520 28000 28448 28896 30100 30480 31750 32250 32766 33600 34400 35560 36120 37625 38100 38227 38528 40640 41280 42000 42672 43000 43688 44450 45150 46058 47625 48000 48160 48768 50800 51600 53340 54610 56000 56896 57792 60200 60960 63500 64500 65532 66675 67200 68800 69087 71120 72240 75250 76200 76454 81280 81915 82560 84000 85344 86000 87376 88900 90300 92116 95250 96320 101600 103200 106680 109220 111125 112000 112875 113792 114681 115145 115584 120400 121920 127000 129000 131064 133350 136525 137600 138174 142240 144480 150500 152400 152908 161203 163830 168000 170688 172000 174752 177800 180600 184232 190500 191135 192640 203200 206400 213360 218440 222250 225750 229362 230290 240800 243840 254000 258000 262128 266700 273050 276348 284480 288960 301000 304800 305816 322406 327660 333375 336000 341376 344000 345435 349504 355600 361200 368464 381000 382270 406400 409575 412800 426720 436880 444500 451500 458724 460580 481600 483609 508000 516000 524256 533400 546100 552696 568960 573405 575725 577920 602000 609600 611632 644812 655320 666750 682625 688000 690870 699008 711200 722400 736928 762000 764540 806015 819150 853440 873760 889000 903000 917448 921160 955675 963200 967218 990247 1016000 1032000 1048512 1066800 1092200 1105392 1146810 1151450 1204000 1219200 1223264 1289624 1310640 1333500 1365250 1381740 1422400 1444800 1473856 1524000 1529080 1612030 1638300 1706880 1727175 1747520 1778000 1806000 1834896 1842320 1911350 1934436 1980494 2032000 2047875 2064000 2097024 2133600 2184400 2210784 2293620 2302900 2408000 2418045 2446528 2579248 2621280 2667000 2730500 2763480 2844800 2867025 2878625 2889600 2924683 2947712 2970741 3048000 3058160 3224060 3276600 3454350 3495040 3556000 3612000 3669792 3684640 3822700 3868872 3960988 4030075 4095750 4267200 4368800 4421568 4587240 4605800 4778375 4816000 4836090 4893056 4951235 5158496 5242560 5334000 5461000 5526960 5734050 5757250 5849366 5941482 6096000 6116320 6448120 6553200 6908700 6931729 7112000 7224000 7339584 7369280 7645400 7737744 7921976 8060150 8191500 8534400 8635875 8737600 8774049 8843136 9174480 9211600 9556750 9672180 9902470 10316992 10485120 10668000 10922000 11053920 11468100 11514500 11698732 11882964 12090225 12232640 12896240 13106400 13817400 13863458 14224000 14335125 14448000 14623415 14679168 14738560 14853705 15290800 15475488 15843952 16120300 16383000 17271750 17475200 17548098 18348960 18423200 19113500 19344360 19804940 20150375 20472781 20633984 20795187 21336000 21844000 22107840 22936200 23029000 23397464 23765928 24180450 24465280 24756175 25792480 26212800 27634800 27726916 28670250 29246830 29707410 30581600 30950976 31687904 32240600 32766000 34543500 34658645 35096196 36697920 36846400 38227000 38688720 39609880 40300750 40945562 41590374 42672000 43688000 43870245 44215680 45872400 46058000 46794928 47531856 48360900 49512350 51584960 52425600 55269600 55453832 57340500 58493660 59414820 60451125 61163200 61418343 61901952 63375808 64481200 65532000 69087000 69317290 70192392 73117075 73395840 73692800 74268525 76454000 77377440 79219760 80601500 81891124 83180748 87376000 87740490 91744800 92116000 93589856 95063712 96721800 99024700 102363905 103169920 103975935 110539200 110907664 114681000 116987320 118829640 120902250 122326400 122836686 123780875 125761369 126751616 128962400 131064000 138174000 138634580 140384784 146234150 148537050 152908000 154754880 158439520 161203000 163782248 166361496 173293225 175480980 183489600 184232000 187179712 190127424 193443600 198049400 204727810 207951870 219351225 221078400 221815328 229362000 233974640 237659280 241804500 245673372 247561750 251522738 257924800 262128000 276348000 277269160 280769568 292468300 297074100 305816000 307091715 309509760 316879040 322406000 327564496 332722992 346586450 350961960 365585375 366979200 368464000 371342625 374359424 377284107 380254848 386887200 396098800 409455620 415903740 438702450 443630656 458724000 467949280 475318560 483609000 491346744 495123500 503045476 511819525 515849600 519879675 552696000 554538320 561539136 584936600 594148200 611632000 614183430 628806845 633758080 644812000 655128992 665445984 693172900 701923920 731170750 742685250 754568214 773774400 792197600 818911240 831807480 866466125 877404900 880329583 887261312 917448000 935898560 950637120 967218000 982693488 990247000 1006090952 1023639050 1039759350 1096756125 1105392000 1109076640 1123078272 1169873200 1188296400 1228366860 1257613690 1289624000 1310257984 1330891968 1386345800 1403847840 1462341500 1485370500 1509136428 1535458575 1547548800 1584395200 1637822480 1663614960 1732932250 1754809800 1760659166 1834896000 1871797120 1886420535 1901274240 1934436000 1965386976 1980494000 2012181904 2047278100 2079518700 2193512250 2218153280 2339746400 2376592800 2456733720 2515227380 2559097625 2579248000 2599398375 2620515968 2640988749 2661783936 2772691600 2807695680 2924683000 2970741000 3018272856 3070917150 3144034225 3168790400 3275644960 3327229920 3465864500 3509619600 3521318332 3772841070 3868872000 3930773952 3960988000 4024363808 4094556200 4159037400 4387024500 4401647915 4436306560 4679492800 4753185600 4913467440 5030454760 5118195250 5198796750 5281977498 5545383200 5615391360 5849366000 5941482000 6036545712 6141834300 6288068450 6551289920 6654459840 6931729000 7019239200 7042636664 7545682140 7677292875 7737744000 7861547904 7921976000 8048727616 8189112400 8318074800 8774049000 8803295830 9358985600 9432102675 9506371200 9826934880 10060909520 10236390500 10397593500 10563954996 11090766400 11698732000 11882964000 12073091424 12283668600 12576136900 13102579840 13204943745 13308919680 13863458000 14038478400 14085273328 15091364280 15354585750 15720171125 15843952000 16097455232 16378224800 16636149600 17548098000 17606591660 18864205350 19653869760 20121819040 20472781000 20795187000 21127909992 22008239575 22181532800 23397464000 23765928000 24146182848 24567337200 25152273800 26409887490 27726916000 28076956800 28170546656 30182728560 30709171500 31440342250 32756449600 33272299200 35096196000 35213183320 37728410700 39307739520 40243638080 40945562000 41590374000 42255819984 44016479150 46794928000 47160513375 47531856000 48292365696 49134674400 50304547600 52819774980 55453832000 56341093312 60365457120 61418343000 62880684500 65512899200 66024718725 66544598400 70192392000 70426366640 75456821400 80487276160 81891124000 83180748000 84511639968 88032958300 94321026750 98269348800 100609095200 105639549960 110041197875 110907664000 112682186624 120730914240 122836686000 125761369000 132049437450 140384784000 140852733280 150913642800 163782248000 166361496000 169023279936 176065916600 188642053500 196538697600 201218190400 211279099920 220082395750 241461828480 245673372000 251522738000 264098874900 281705466560 301827285600 327564496000 330123593625 332722992000 338046559872 352131833200 377284107000 402436380800 422558199840 440164791500 491346744000 503045476000 528197749800 563410933120 603654571200 660247187250 704263666400 754568214000 845116399680 880329583000 982693488000 1006090952000 1056395499600 1207309142400 1320494374500 1408527332800 1509136428000 1690232799360 1760659166000 2012181904000 2112790999200 2640988749000 2817054665600 3018272856000 3521318332000 4225581998400 5281977498000 6036545712000 7042636664000 8451163996800 10563954996000 14085273328000 21127909992000 42255819984000
- Sum of all divisors σ(n): 165109225881600
- Sum of proper divisors (its aliquot sum) s(n): 122853405897600
- 42255819984000 is an abundant number, because the sum of its proper divisors (122853405897600) is greater than itself. Its abundance is 80597585913600
Bases of 42255819984000
- Binary: 10011001101110011100110010001111001100100000002
- Hexadecimal: 0x266E7323CC80
- Base-36: EZ8207EDC
Squares and roots of 42255819984000
- 42255819984000 squared (422558199840002) is 1785554322520213760256000000
- 42255819984000 cubed (422558199840003) is 75450062024067229854577269755904000000000
-
The
square root of 42255819984000 is 6500447.6756605003 -
The
cube root of 42255819984000 is 34830.6980148851
Scales and comparisons
How big is 42255819984000?- 42,255,819,984,000 seconds is equal to 1,343,604 years, 19 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 42,255,819,984,000 would take you about three million, three hundred fifty-nine thousand and ten 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 42255819984000 cubic inches would be around 2902.6 feet tall.
Recreational maths with 42255819984000
- 42255819984000 backwards is 00048991855224
- The number of decimal digits it has is: 14
- The sum of 42255819984000's digits is 57
- More coming soon!
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The information we have on file for 42255819984000 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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