4090938906432896000
4,090,938,906,432,896,000 is an even composite number composed of six prime numbers multiplied together.
4090938906432896000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred four divisors.
Prime factorization of 4090938906432896000:
210 × 53 × 7 × 17 × 19 × 14135541887
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 17 × 19 × 14135541887)See below for interesting mathematical facts about the number 4090938906432896000 from the Numbermatics database.
Names of 4090938906432896000
- Cardinal: 4090938906432896000 can be written as Four quintillion, ninety quadrillion, nine hundred thirty-eight trillion, nine hundred six billion, four hundred thirty-two million, eight hundred ninety-six thousand.
Scientific notation
- Scientific notation: 4.090938906432896 × 1018
Factors of 4090938906432896000
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 17
- Sum of prime factors: 14135541937
Divisors of 4090938906432896000
- Number of divisors d(n): 704
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 19 20 25 28 32 34 35 38 40 50 56 64 68 70 76 80 85 95 100 112 119 125 128 133 136 140 152 160 170 175 190 200 224 238 250 256 266 272 280 304 320 323 340 350 380 400 425 448 475 476 500 512 532 544 560 595 608 640 646 665 680 700 760 800 850 875 896 950 952 1000 1024 1064 1088 1120 1190 1216 1280 1292 1330 1360 1400 1520 1600 1615 1700 1750 1792 1900 1904 2000 2125 2128 2176 2240 2261 2375 2380 2432 2560 2584 2660 2720 2800 2975 3040 3200 3230 3325 3400 3500 3584 3800 3808 4000 4250 4256 4352 4480 4522 4750 4760 4864 5120 5168 5320 5440 5600 5950 6080 6400 6460 6650 6800 7000 7168 7600 7616 8000 8075 8500 8512 8704 8960 9044 9500 9520 9728 10336 10640 10880 11200 11305 11900 12160 12800 12920 13300 13600 14000 14875 15200 15232 16000 16150 16625 17000 17024 17408 17920 18088 19000 19040 19456 20672 21280 21760 22400 22610 23800 24320 25600 25840 26600 27200 28000 29750 30400 30464 32000 32300 33250 34000 34048 35840 36176 38000 38080 40375 41344 42560 43520 44800 45220 47600 48640 51680 53200 54400 56000 56525 59500 60800 60928 64000 64600 66500 68000 68096 72352 76000 76160 80750 82688 85120 87040 89600 90440 95200 97280 103360 106400 108800 112000 113050 119000 121600 121856 128000 129200 133000 136000 136192 144704 152000 152320 161500 165376 170240 179200 180880 190400 206720 212800 217600 224000 226100 238000 243200 258400 266000 272000 282625 289408 304000 304640 323000 330752 340480 361760 380800 413440 425600 435200 448000 452200 476000 486400 516800 532000 544000 565250 578816 608000 609280 646000 680960 723520 761600 826880 851200 896000 904400 952000 1033600 1064000 1088000 1130500 1157632 1216000 1292000 1447040 1523200 1653760 1702400 1808800 1904000 2067200 2128000 2176000 2261000 2315264 2432000 2584000 2894080 3046400 3404800 3617600 3808000 4134400 4256000 4522000 5168000 5788160 7235200 7616000 8268800 8512000 9044000 10336000 11576320 14470400 15232000 17024000 18088000 20672000 28940800 36176000 41344000 57881600 72352000 144704000 289408000 14135541887 28271083774 56542167548 70677709435 98948793209 113084335096 141355418870 197897586418 226168670192 240304212079 268575295853 282710837740 353388547175 395795172836 452337340384 480608424158 494743966045 537150591706 565421675480 706777094350 791590345672 904674680768 961216848316 989487932090 1074301183412 1130843350960 1201521060395 1342876479265 1413554188700 1583180691344 1682129484553 1766942735875 1809349361536 1880027070971 1922433696632 1978975864180 2148602366824 2261686701920 2403042120790 2473719830225 2685752958530 2827108377400 3166361382688 3364258969106 3533885471750 3618698723072 3760054141942 3844867393264 3957951728360 4297204733648 4523373403840 4565780029501 4806084241580 4947439660450 5371505917060 5654216754800 6007605301975 6332722765376 6714382396325 6728517938212 7067770943500 7237397446144 7520108283884 7689734786528 7915903456720 8410647422765 8594409467296 9046746807680 9131560059002 9400135354855 9612168483160 9894879320900 10743011834120 11308433509600 12015210603950 12368599151125 12665445530752 13428764792650 13457035876424 14135541887000 14474794892288 15040216567768 15379469573056 15831806913440 16821294845530 17188818934592 18093493615360 18263120118004 18800270709710 19224336966320 19789758641800 21486023668240 22616867019200 22828900147505 24030421207900 24737198302250 25330891061504 26857529585300 26914071752848 28271083774000 30038026509875 30080433135536 30758939146112 31663613826880 31960460206507 33571911981625 33642589691060 34377637869184 36186987230720 36526240236008 37600541419420 38448673932640 39579517283600 42053237113825 42972047336480 45233734038400 45657800295010 47000676774275 48060842415800 49474396604500 50661782123008 53715059170600 53828143505696 56542167548000 60076053019750 60160866271072 61517878292224 63327227653760 63920920413014 67143823963250 67285179382120 68755275738368 72373974461440 73052480472016 75201082838840 76897347865280 79159034567200 84106474227650 85944094672960 90467468076800 91315600590020 94001353548550 96121684831600 98948793209000 101323564246016 107430118341200 107656287011392 113084335096000 114144500737525 120152106039500 120321732542144 123035756584448 126654455307520 127841840826028 134287647926500 134570358764240 137510551476736 146104960944032 150402165677680 153794695730560 158318069134400 159802301032535 168212948455300 171888189345920 180934936153600 182631201180040 188002707097100 192243369663200 197897586418000 210266185569125 214860236682400 215312574022784 226168670192000 228289001475050 235003383871375 240304212079000 240643465084288 246071513168896 253308910615040 255683681652056 268575295853000 269140717528480 275021102953472 292209921888064 300804331355360 307589391461120 316636138268800 319604602065070 336425896910600 343776378691840 361869872307200 365262402360080 376005414194200 384486739326400 395795172836000 420532371138250 429720473364800 430625148045568 452337340384000 456578002950100 470006767742750 480608424158000 481286930168576 506617821230080 511367363304112 537150591706000 538281435056960 570722503687625 584419843776128 601608662710720 615178782922240 633272276537600 639209204130140 672851793821200 687552757383680 730524804720160 752010828388400 768973478652800 791590345672000 799011505162675 841064742276500 859440946729600 861250296091136 904674680768000 913156005900200 940013535485500 961216848316000 962573860337152 1022734726608224 1074301183412000 1076562870113920 1141445007375250 1168839687552256 1203217325421440 1230357565844480 1266544553075200 1278418408260280 1345703587642400 1375105514767360 1461049609440320 1504021656776800 1537946957305600 1583180691344000 1598023010325350 1682129484553000 1718881893459200 1722500592182272 1809349361536000 1826312011800400 1880027070971000 1922433696632000 1925147720674304 2045469453216448 2148602366824000 2153125740227840 2282890014750500 2337679375104512 2406434650842880 2533089106150400 2556836816520560 2691407175284800 2922099218880640 3008043313553600 3075893914611200 3166361382688000 3196046020650700 3364258969106000 3437763786918400 3652624023600800 3760054141942000 3844867393264000 3995057525813375 4090938906432896 4297204733648000 4306251480455680 4565780029501000 4675358750209024 4812869301685760 5113673633041120 5382814350569600 5844198437761280 6016086627107200 6151787829222400 6332722765376000 6392092041301400 6728517938212000 6875527573836800 7305248047201600 7520108283884000 7689734786528000 7990115051626750 8181877812865792 8594409467296000 8612502960911360 9131560059002000 9625738603371520 10227347266082240 10765628701139200 11688396875522560 12032173254214400 12665445530752000 12784184082602800 13457035876424000 14610496094403200 15040216567768000 15379469573056000 15980230103253500 16363755625731584 17188818934592000 18263120118004000 20454694532164480 21531257402278400 23376793751045120 24064346508428800 25568368165205600 26914071752848000 29220992188806400 30080433135536000 30758939146112000 31960460206507000 32727511251463168 34377637869184000 36526240236008000 40909389064328960 43062514804556800 48128693016857600 51136736330411200 53828143505696000 58441984377612800 60160866271072000 63920920413014000 73052480472016000 81818778128657920 102273472660822400 107656287011392000 116883968755225600 120321732542144000 127841840826028000 146104960944032000 163637556257315840 204546945321644800 215312574022784000 240643465084288000 255683681652056000 292209921888064000 409093890643289600 511367363304112000 584419843776128000 818187781286579200 1022734726608224000 2045469453216448000 4090938906432896000
- Sum of all divisors σ(n): 13000120883074990080
- Sum of proper divisors (its aliquot sum) s(n): 8909181976642094080
- 4090938906432896000 is an abundant number, because the sum of its proper divisors (8909181976642094080) is greater than itself. Its abundance is 4818243070209198080
Bases of 4090938906432896000
- Binary: 111000110001011110111101000010101110111100000111111100000000002
- Hexadecimal: 0x38C5EF42BBC1FC00
- Base-36: V2X0T8VDO5Q8
Squares and roots of 4090938906432896000
- 4090938906432896000 squared (40909389064328960002) is 16735781136166379013490950946816000000
- 4090938906432896000 cubed (40909389064328960003) is 68465058179488776306153910916691289924368859136000000000
-
The
square root of 4090938906432896000 is 2022606957.9710478193 -
The
cube root of 4090938906432896000 is 1599340.7318325205
Scales and comparisons
How big is 4090938906432896000?- 4,090,938,906,432,896,000 seconds is equal to 130,079,203,119 years, 35 weeks, 4 days, 22 hours, 13 minutes, 20 seconds.
-
To count from 1 to 4,090,938,906,432,896,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 4090938906432896000 cubic inches would be around 133278.4 feet tall.
Recreational maths with 4090938906432896000
- 4090938906432896000 backwards is 0006982346098390904
- 4090938906432896000 is a
Harshad number . - The number of decimal digits it has is: 19
- The sum of 4090938906432896000's digits is 80
- More coming soon!
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The information we have on file for 4090938906432896000 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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