40428951481728000
40,428,951,481,728,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 40428951481728000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1848 divisors.
40428951481728000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, eight hundred forty-eight divisors.
Prime factorization of 40428951481728000:
210 × 32 × 53 × 296 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 29 × 29 × 29 × 29 × 29 × 29 × 59)See below for interesting mathematical facts about the number 40428951481728000 from the Numbermatics database.
Names of 40428951481728000
- Cardinal: 40428951481728000 can be written as Forty quadrillion, four hundred twenty-eight trillion, nine hundred fifty-one billion, four hundred eighty-one million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.0428951481728 × 1016
Factors of 40428951481728000
Divisors of 40428951481728000
- Number of divisors d(n): 1848
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 29 30 32 36 40 45 48 50 58 59 60 64 72 75 80 87 90 96 100 116 118 120 125 128 144 145 150 160 174 177 180 192 200 225 232 236 240 250 256 261 288 290 295 300 320 348 354 360 375 384 400 435 450 464 472 480 500 512 522 531 576 580 590 600 640 696 708 720 725 750 768 800 841 870 885 900 928 944 960 1000 1024 1044 1062 1125 1152 1160 1180 1200 1280 1305 1392 1416 1440 1450 1475 1500 1536 1600 1682 1711 1740 1770 1800 1856 1888 1920 2000 2088 2124 2175 2250 2304 2320 2360 2400 2523 2560 2610 2655 2784 2832 2880 2900 2950 3000 3072 3200 3364 3422 3480 3540 3600 3625 3712 3776 3840 4000 4176 4205 4248 4350 4425 4500 4608 4640 4720 4800 5046 5120 5133 5220 5310 5568 5664 5760 5800 5900 6000 6400 6525 6728 6844 6960 7080 7200 7250 7375 7424 7552 7569 7680 8000 8352 8410 8496 8555 8700 8850 9000 9216 9280 9440 9600 10092 10266 10440 10620 10875 11136 11328 11520 11600 11800 12000 12615 12800 13050 13275 13456 13688 13920 14160 14400 14500 14750 14848 15104 15138 15360 15399 16000 16704 16820 16992 17110 17400 17700 18000 18560 18880 19200 20184 20532 20880 21025 21240 21750 22125 22272 22656 23040 23200 23600 24000 24389 25230 25600 25665 26100 26550 26912 27376 27840 28320 28800 29000 29500 29696 30208 30276 30798 32000 32625 33408 33640 33984 34220 34800 35400 36000 37120 37760 37845 38400 40368 41064 41760 42050 42480 42775 43500 44250 44544 45312 46080 46400 47200 48000 48778 49619 50460 51330 52200 53100 53824 54752 55680 56640 57600 58000 59000 60416 60552 61596 63075 64000 65250 66375 66816 67280 67968 68440 69600 70800 72000 73167 74240 75520 75690 76800 76995 80736 82128 83520 84100 84960 85550 87000 88500 89088 90624 92800 94400 96000 97556 99238 100920 102660 104400 105125 106200 107648 109504 111360 113280 115200 116000 118000 121104 121945 123192 126150 128000 128325 130500 132750 133632 134560 135936 136880 139200 141600 144000 146334 148480 148857 151040 151380 153990 161472 164256 167040 168200 169920 171100 174000 177000 181248 185600 188800 189225 192000 195112 198476 201840 205320 208800 210250 212400 213875 215296 219008 219501 222720 226560 230400 232000 236000 242208 243890 246384 248095 252300 256650 261000 265500 267264 269120 271872 273760 278400 283200 288000 292668 297714 302080 302760 307980 315375 322944 328512 334080 336400 339840 342200 348000 354000 365835 371200 377600 378450 384000 384975 390224 396952 403680 410640 417600 420500 424800 427750 430592 438016 439002 445440 446571 453120 464000 472000 484416 487780 492768 496190 504600 513300 522000 531000 538240 543744 547520 556800 566400 576000 585336 595428 605520 609725 615960 630750 641625 645888 657024 668160 672800 679680 684400 696000 707281 708000 731670 742400 744285 755200 756900 769950 780448 793904 807360 821280 835200 841000 849600 855500 861184 876032 878004 893142 906240 928000 944000 946125 968832 975560 985536 992380 1009200 1026600 1044000 1062000 1076480 1095040 1097505 1113600 1132800 1152000 1170672 1190856 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1052837278170 1068277222400 1070681977800 1089142011900 1123026430048 1142060776320 1161751479360 1181442182400 1189646642000 1201811875200 1210157791000 1239201577984 1263404733804 1312713536000 1335346528000 1338352472250 1361427514875 1370472931584 1394101775232 1403783037560 1427575970400 1452189349200 1476802728000 1502264844000 1522747701760 1549001972480 1575256243200 1579255917255 1602415833600 1657671552000 1684539645072 1713091164480 1742627219040 1754728796950 1784469963000 1815236686500 1827297242112 1858802366976 1903434627200 1922899000320 1936252465600 1969070304000 2003019792000 2105674556340 2141363955600 2178284023800 2246052860096 2284121552640 2323502958720 2362884364800 2379293284000 2403623750400 2420315582000 2526809467608 2625427072000 2632093195425 2670693056000 2676704944500 2722855029750 2740945863168 2788203550464 2807566075120 2855151940800 2904378698400 2953605456000 3004529688000 3045495403520 3098003944960 3158511834510 3204831667200 3369079290144 3426182328960 3485254438080 3509457593900 3568939926000 3630473373000 3717604733952 3806869254400 3872504931200 3938140608000 4006039584000 4211349112680 4282727911200 4356568047600 4386821992375 4492105720192 4568243105280 4647005917440 4725768729600 4758586568000 4807247500800 4840631164000 5053618935216 5264186390850 5341386112000 5353409889000 5445710059500 5481891726336 5576407100928 5615132150240 5710303881600 5808757396800 5907210912000 6009059376000 6196007889920 6317023669020 6738158580288 6852364657920 6970508876160 7018915187800 7137879852000 7260946746000 7613738508800 7745009862400 7876281216000 7896279586275 8012079168000 8422698225360 8565455822400 8713136095200 8773643984750 8984211440384 9136486210560 9294011834880 9517173136000 9614495001600 9681262328000 10107237870432 10528372781700 10706819778000 10891420119000 11152814201856 11230264300480 11420607763200 11617514793600 11814421824000 12018118752000 12634047338040 13160465977125 13476317160576 13704729315840 13941017752320 14037830375600 14275759704000 14521893492000 15227477017600 15490019724800 15792559172550 16024158336000 16845396450720 17130911644800 17426272190400 17547287969500 17968422880768 18588023669760 19034346272000 19362524656000 20214475740864 21056745563400 21413639556000 21782840238000 22460528600960 22841215526400 23235029587200 23628843648000 24036237504000 25268094676080 26320931954250 26952634321152 27409458631680 27882035504640 28075660751200 28551519408000 29043786984000 30980039449600 31585118345100 33690792901440 34261823289600 34852544380800 35094575939000 35936845761536 38068692544000 38725049312000 39481397931375 40428951481728 42113491126800 42827279112000 43565680476000 44921057201920 45682431052800 46470059174400 48072475008000 50536189352160 52641863908500 53905268642304 55764071009280 56151321502400 57103038816000 58087573968000 63170236690200 67381585802880 68523646579200 69705088761600 70189151878000 76137385088000 77450098624000 78962795862750 80857902963456 84226982253600 85654558224000 87131360952000 89842114403840 92940118348800 101072378704320 105283727817000 107810537284608 112302643004800 114206077632000 116175147936000 126340473380400 134763171605760 137047293158400 139410177523200 140378303756000 154900197248000 157925591725500 161715805926912 168453964507200 171309116448000 174262721904000 179684228807680 202144757408640 210567455634000 224605286009600 228412155264000 232350295872000 252680946760800 269526343211520 278820355046400 280756607512000 315851183451000 323431611853824 336907929014400 342618232896000 348525443808000 404289514817280 421134911268000 449210572019200 464700591744000 505361893521600 539052686423040 561513215024000 631702366902000 673815858028800 685236465792000 697050887616000 808579029634560 842269822536000 898421144038400 1010723787043200 1123026430048000 1263404733804000 1347631716057600 1394101775232000 1617158059269120 1684539645072000 2021447574086400 2246052860096000 2526809467608000 2695263432115200 3369079290144000 4042895148172800 4492105720192000 5053618935216000 6738158580288000 8085790296345600 10107237870432000 13476317160576000 20214475740864000 40428951481728000
- Sum of all divisors σ(n): 153449330390188560
- Sum of proper divisors (its aliquot sum) s(n): 113020378908460560
- 40428951481728000 is an abundant number, because the sum of its proper divisors (113020378908460560) is greater than itself. Its abundance is 72591427426732560
Bases of 40428951481728000
- Binary: 100011111010000111101010110010111011010110111100000000002
- Hexadecimal: 0x8FA1EACBB5BC00
- Base-36: B22V7WRMKG0
Squares and roots of 40428951481728000
- 40428951481728000 squared (404289514817280002) is 1634500117911916646717865984000000
- 40428951481728000 cubed (404289514817280003) is 66081125963939573227712697081806928740352000000000
-
The
square root of 40428951481728000 is 201069519.0269474933 -
The
cube root of 40428951481728000 is 343213.3397882705
Scales and comparisons
How big is 40428951481728000?- 40,428,951,481,728,000 seconds is equal to 1,285,515,602 years, 8 weeks, 2 days, 16 hours.
-
To count from 1 to 40,428,951,481,728,000 would take you about three billion, eight hundred fifty-six million, five hundred forty-six thousand, eight hundred six 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 40428951481728000 cubic inches would be around 28601.1 feet tall.
Recreational maths with 40428951481728000
- 40428951481728000 backwards is 00082718415982404
- The number of decimal digits it has is: 17
- The sum of 40428951481728000's digits is 63
- More coming soon!
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"Number 40428951481728000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 40428951481728000 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/40428951481728000/
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Numbermatics. 2024. "Number 40428951481728000 - Facts about the integer". https://numbermatics.com/n/40428951481728000/
The information we have on file for 40428951481728000 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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