42005089901332800
42,005,089,901,332,800 is an even composite number composed of seven prime numbers multiplied together.
42005089901332800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, two hundred sixty-eight divisors.
Prime factorization of 42005089901332800:
26 × 32 × 52 × 112 × 672 × 1621 × 3313
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 11 × 67 × 67 × 1621 × 3313)See below for interesting mathematical facts about the number 42005089901332800 from the Numbermatics database.
Names of 42005089901332800
- Cardinal: 42005089901332800 can be written as Forty-two quadrillion, five trillion, eighty-nine billion, nine hundred one million, three hundred thirty-two thousand, eight hundred.
Scientific notation
- Scientific notation: 4.20050899013328 × 1016
Factors of 42005089901332800
Divisors of 42005089901332800
- Number of divisors d(n): 2268
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 40 44 45 48 50 55 60 64 66 67 72 75 80 88 90 96 99 100 110 120 121 132 134 144 150 160 165 176 180 192 198 200 201 220 225 240 242 264 268 275 288 300 320 330 335 352 360 363 396 400 402 440 450 480 484 495 528 536 550 576 600 603 605 660 670 704 720 726 737 792 800 804 825 880 900 960 968 990 1005 1056 1072 1089 1100 1200 1206 1210 1320 1340 1440 1452 1474 1584 1600 1608 1621 1650 1675 1760 1800 1815 1936 1980 2010 2112 2144 2178 2200 2211 2400 2412 2420 2475 2640 2680 2880 2904 2948 3015 3025 3168 3216 3242 3300 3313 3350 3520 3600 3630 3685 3872 3960 4020 4288 4356 4400 4422 4489 4800 4824 4840 4863 4950 5025 5280 5360 5445 5808 5896 6030 6050 6336 6432 6484 6600 6626 6633 6700 7200 7260 7370 7744 7920 8040 8105 8107 8712 8800 8844 8978 9075 9648 9680 9726 9900 9939 10050 10560 10720 10890 11055 11616 11792 12060 12100 12864 12968 13200 13252 13266 13400 13467 14400 14520 14589 14740 15075 15840 16080 16210 16214 16565 17424 17600 17688 17831 17956 18150 18425 19296 19360 19452 19800 19878 20100 21440 21780 22110 22445 23232 23584 24120 24200 24315 24321 25936 26400 26504 26532 26800 26934 27225 29040 29178 29480 29817 30150 31680 32160 32420 32428 33130 33165 34848 35376 35662 35912 36300 36443 36850 38592 38720 38904 39600 39756 40200 40401 40525 40535 43560 44220 44890 47168 48240 48400 48630 48642 49379 49695 51872 52800 53008 53064 53493 53600 53868 54450 55275 58080 58356 58960 59634 60300 64320 64840 64856 66260 66330 67335 69696 70752 71324 71824 72600 72886 72945 72963 73700 77808 79200 79512 80400 80802 81050 81070 82825 87120 88440 89155 89780 96480 96800 97260 97284 98758 99390 103744 106016 106128 106986 107200 107736 108607 108900 109329 110550 112225 116160 116712 117920 119268 120600 121575 121605 129680 129712 132520 132660 134670 141504 142648 143648 145200 145772 145890 145926 147400 148137 149085 155616 158400 159024 160479 160800 161604 162100 162140 165650 165825 174240 176880 178310 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12728815121616 12956536058400 13061284173300 13259182418350 13885980132672 13932036451520 14248673643600 14464562638200 14585100660185 15673541007960 15911018902020 16971753495488 17357475165840 17415045564400 17502120792222 18998231524800 19093222682424 19286083517600 19591926259950 19888773627525 20898054677280 21214691869360 21696843957300 23143300221120 23336161056296 23866528353030 25077665612736 25457630243232 25913072116800 26122568346600 26253181188333 26518364836700 28497347287200 28929125276400 29170201320370 31347082015920 31822037804040 34714950331680 34830091128800 35004241584444 38186445364848 38572167035200 39183852519900 39777547255050 41796109354560 42429383738720 43393687914600 43755301980555 46672322112592 47733056706060 50915260486464 52245136693200 52506362376666 53036729673400 56994694574400 57858250552800 58340402640740 59666320882575 62694164031840 63644075608080 69429900663360 69660182257600 70008483168888 72925503300925 76372890729696 78367705039800 79555094510100 84858767477440 86787375829200 87510603961110 93344644225184 95466113412120 104490273386400 105012724753332 106073459346800 115716501105600 116680805281480 119332641765150 125388328063680 127288151216160 131265905941665 140016966337776 145851006601850 152745781459392 156735410079600 159110189020200 173574751658400 175021207922220 186689288450368 190932226824240 208980546772800 210025449506664 212146918693600 218776509902775 233361610562960 238665283530300 254576302432320 262531811883330 280033932675552 291702013203700 313470820159200 318220378040400 347149503316800 350042415844440 381864453648480 420050899013328 424293837387200 437553019805550 466723221125920 477330567060600 525063623766660 560067865351104 583404026407400 626941640318400 636440756080800 656329529708325 700084831688880 763728907296960 840101798026656 875106039611100 933446442251840 954661134121200 1050127247533320 1166808052814800 1272881512161600 1312659059416650 1400169663377760 1680203596053312 1750212079222200 1909322268242400 2100254495066640 2333616105629600 2625318118833300 2800339326755520 3500424158444400 3818644536484800 4200508990133280 4667232211259200 5250636237666600 7000848316888800 8401017980266560 10501272475333200 14001696633777600 21002544950666400 42005089901332800
- Sum of all divisors σ(n): 166741149286026588
- Sum of proper divisors (its aliquot sum) s(n): 124736059384693788
- 42005089901332800 is an abundant number, because the sum of its proper divisors (124736059384693788) is greater than itself. Its abundance is 82730969483360988
Bases of 42005089901332800
- Binary: 100101010011101101101000000111100101001111001001010000002
- Hexadecimal: 0x953B681E53C940
- Base-36: BHLK7WJYZ40
Squares and roots of 42005089901332800
- 42005089901332800 squared (420050899013328002) is 1764427577619050777639216355840000
- 42005089901332800 cubed (420050899013328003) is 74114939022279084942850863669047137575063552000000
-
The
square root of 42005089901332800 is 204951433.0306885169 -
The
cube root of 42005089901332800 is 347616.7056933977
Scales and comparisons
How big is 42005089901332800?- 42,005,089,901,332,800 seconds is equal to 1,335,631,928 years, 30 weeks, 4 days, 4 hours.
-
To count from 1 to 42,005,089,901,332,800 would take you about four billion, six million, eight hundred ninety-five thousand, seven hundred eighty-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 42005089901332800 cubic inches would be around 28968.1 feet tall.
Recreational maths with 42005089901332800
- 42005089901332800 backwards is 00823310998050024
- The number of decimal digits it has is: 17
- The sum of 42005089901332800's digits is 54
- More coming soon!
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"Number 42005089901332800 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 42005089901332800 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/42005089901332800/
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The information we have on file for 42005089901332800 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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