40130224128000
40,130,224,128,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 40130224128000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1224 divisors.
40130224128000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred twenty-four divisors.
Prime factorization of 40130224128000:
216 × 32 × 53 × 29 × 1372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 29 × 137 × 137)See below for interesting mathematical facts about the number 40130224128000 from the Numbermatics database.
Names of 40130224128000
- Cardinal: 40130224128000 can be written as Forty trillion, one hundred thirty billion, two hundred twenty-four million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.0130224128 × 1013
Factors of 40130224128000
Divisors of 40130224128000
- Number of divisors d(n): 1224
-
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 60 64 72 75 80 87 90 96 100 116 120 125 128 137 144 145 150 160 174 180 192 200 225 232 240 250 256 261 274 288 290 300 320 348 360 375 384 400 411 435 450 464 480 500 512 522 548 576 580 600 640 685 696 720 725 750 768 800 822 870 900 928 960 1000 1024 1044 1096 1125 1152 1160 1200 1233 1280 1305 1370 1392 1440 1450 1500 1536 1600 1644 1740 1800 1856 1920 2000 2048 2055 2088 2175 2192 2250 2304 2320 2400 2466 2560 2610 2740 2784 2880 2900 3000 3072 3200 3288 3425 3480 3600 3625 3712 3840 3973 4000 4096 4110 4176 4350 4384 4500 4608 4640 4800 4932 5120 5220 5480 5568 5760 5800 6000 6144 6165 6400 6525 6576 6850 6960 7200 7250 7424 7680 7946 8000 8192 8220 8352 8700 8768 9000 9216 9280 9600 9864 10240 10275 10440 10875 10960 11136 11520 11600 11919 12000 12288 12330 12800 13050 13152 13700 13920 14400 14500 14848 15360 15892 16000 16384 16440 16704 17125 17400 17536 18000 18432 18560 18769 19200 19728 19865 20480 20550 20880 21750 21920 22272 23040 23200 23838 24000 24576 24660 25600 26100 26304 27400 27840 28800 29000 29696 30720 30825 31784 32000 32625 32768 32880 33408 34250 34800 35072 35757 36000 36864 37120 37538 38400 39456 39730 40960 41100 41760 43500 43840 44544 46080 46400 47676 48000 49152 49320 51200 51375 52200 52608 54800 55680 56307 57600 58000 59392 59595 61440 61650 63568 64000 65250 65536 65760 66816 68500 69600 70144 71514 72000 73728 74240 75076 76800 78912 79460 81920 82200 83520 87000 87680 89088 92160 92800 93845 95352 96000 98304 98640 99325 102400 102750 104400 105216 109600 111360 112614 115200 116000 118784 119190 122880 123300 127136 128000 130500 131520 133632 137000 139200 140288 143028 144000 147456 148480 150152 153600 154125 157824 158920 163840 164400 167040 168921 174000 175360 178176 178785 184320 185600 187690 190704 192000 196608 197280 198650 204800 205500 208800 210432 219200 222720 225228 230400 232000 237568 238380 245760 246600 254272 256000 261000 263040 267264 274000 278400 280576 281535 286056 288000 294912 296960 297975 300304 307200 308250 315648 317840 327680 328800 334080 337842 348000 350720 356352 357570 368640 371200 375380 381408 384000 394560 397300 409600 411000 417600 420864 438400 445440 450456 460800 464000 469225 475136 476760 491520 493200 496625 508544 512000 522000 526080 534528 544301 548000 556800 561152 563070 572112 576000 589824 593920 595950 600608 614400 616500 631296 635680 657600 668160 675684 696000 701440 712704 715140 737280 742400 750760 762816 768000 789120 794600 819200 822000 835200 841728 844605 876800 890880 893925 900912 921600 928000 938450 950272 953520 983040 986400 993250 1017088 1024000 1044000 1052160 1069056 1088602 1096000 1113600 1122304 1126140 1144224 1152000 1187840 1191900 1201216 1228800 1233000 1262592 1271360 1315200 1336320 1351368 1392000 1402880 1407675 1425408 1430280 1474560 1484800 1489875 1501520 1525632 1536000 1578240 1589200 1632903 1638400 1644000 1670400 1683456 1689210 1753600 1781760 1787850 1801824 1843200 1856000 1876900 1900544 1907040 1972800 1986500 2034176 2048000 2088000 2104320 2138112 2177204 2192000 2227200 2244608 2252280 2288448 2304000 2346125 2375680 2383800 2402432 2457600 2466000 2525184 2542720 2630400 2672640 2702736 2721505 2784000 2805760 2815350 2850816 2860560 2949120 2969600 2979750 3003040 3051264 3072000 3156480 3178400 3265806 3288000 3340800 3366912 3378420 3507200 3563520 3575700 3603648 3686400 3712000 3753800 3814080 3945600 3973000 4068352 4096000 4176000 4208640 4223025 4276224 4354408 4384000 4454400 4469625 4489216 4504560 4576896 4608000 4692250 4751360 4767600 4804864 4898709 4915200 4932000 5050368 5085440 5260800 5345280 5405472 5443010 5568000 5611520 5630700 5701632 5721120 5939200 5959500 6006080 6102528 6144000 6312960 6356800 6531612 6576000 6681600 6733824 6756840 7014400 7038375 7127040 7151400 7207296 7372800 7424000 7507600 7628160 7891200 7946000 8136704 8164515 8192000 8352000 8417280 8446050 8552448 8708816 8768000 8908800 8939250 8978432 9009120 9153792 9216000 9384500 9502720 9535200 9609728 9797418 9864000 10100736 10170880 10521600 10690560 10810944 10886020 11136000 11223040 11261400 11442240 11878400 11919000 12012160 12205056 12288000 12625920 12713600 13063224 13152000 13363200 13467648 13513680 13607525 14028800 14076750 14254080 14302800 14414592 14745600 14848000 15015200 15256320 15782400 15892000 16273408 16329030 16704000 16834560 16892100 17104896 17417632 17536000 17817600 17878500 18018240 18307584 18432000 18769000 19070400 19219456 19594836 19728000 20201472 20341760 21043200 21115125 21381120 21621888 21772040 22272000 22446080 22522800 22884480 23756800 23838000 24024320 24410112 24493545 24576000 25251840 25427200 26126448 26304000 26726400 26935296 27027360 27215050 28057600 28153500 28508160 28605600 28829184 29696000 30030400 30512640 31564800 31784000 32546816 32658060 33408000 33669120 33784200 34835264 35072000 35635200 35757000 36036480 36615168 36864000 37538000 38140800 38438912 39189672 39456000 40402944 40683520 40822575 42086400 42230250 42762240 43243776 43544080 44544000 44892160 45045600 45768960 47513600 47676000 48048640 48820224 48987090 50503680 50854400 52252896 52608000 53452800 54054720 54430100 56115200 56307000 57211200 57658368 59392000 60060800 61025280 63129600 63568000 65093632 65316120 66816000 67338240 67568400 68037625 69670528 70144000 71270400 71514000 72072960 73230336 73728000 75076000 76281600 76877824 78379344 78912000 80805888 81367040 81645150 84172800 84460500 85524480 86487552 87088160 89088000 90091200 91537920 95352000 96097280 97640448 97974180 101007360 101708800 104505792 105216000 106905600 108109440 108860200 112230400 112614000 114422400 115316736 118784000 120121600 122050560 122467725 126259200 127136000 130187264 130632240 133632000 134676480 135136800 136075250 139341056 140288000 142540800 143028000 144145920 146460672 150152000 152563200 153755648 156758688 157824000 162734080 163290300 168345600 168921000 172975104 174176320 178176000 180182400 183075840 190704000 192194560 195280896 195948360 202014720 203417600 204112875 209011584 210432000 213811200 216218880 217720400 224460800 225228000 228844800 230633472 237568000 240243200 244101120 244935450 252518400 254272000 260374528 261264480 267264000 270273600 272150500 278682112 280576000 286056000 288291840 292921344 300304000 305126400 307511296 313517376 315648000 325468160 326580600 336691200 337842000 345950208 348352640 356352000 360364800 366151680 381408000 384389120 390561792 391896720 404029440 406835200 408225750 418023168 420864000 427622400 432437760 435440800 450456000 457689600 461266944 480486400 488202240 489870900 505036800 508544000 522528960 534528000 540547200 544301000 557364224 561152000 572112000 576583680 585842688 600608000 610252800 612338625 615022592 627034752 631296000 650936320 653161200 673382400 675684000 691900416 696705280 712704000 720729600 732303360 762816000 768778240 781123584 783793440 813670400 816451500 836046336 841728000 864875520 870881600 900912000 915379200 922533888 960972800 976404480 979741800 1010073600 1017088000 1045057920 1069056000 1081094400 1088602000 1114728448 1122304000 1144224000 1153167360 1171685376 1201216000 1220505600 1224677250 1230045184 1254069504 1262592000 1301872640 1306322400 1351368000 1383800832 1393410560 1441459200 1464606720 1525632000 1537556480 1567586880 1627340800 1632903000 1672092672 1683456000 1729751040 1741763200 1801824000 1830758400 1845067776 1921945600 1952808960 1959483600 2020147200 2034176000 2090115840 2138112000 2162188800 2177204000 2229456896 2288448000 2306334720 2343370752 2402432000 2441011200 2449354500 2508139008 2525184000 2612644800 2702736000 2767601664 2786821120 2882918400 2929213440 3051264000 3075112960 3135173760 3254681600 3265806000 3344185344 3366912000 3459502080 3483526400 3603648000 3661516800 3690135552 3843891200 3905617920 3918967200 4068352000 4180231680 4324377600 4354408000 4458913792 4576896000 4612669440 4804864000 4882022400 4898709000 5016278016 5050368000 5225289600 5405472000 5535203328 5573642240 5765836800 5858426880 6102528000 6150225920 6270347520 6509363200 6531612000 6688370688 6919004160 6967052800 7207296000 7323033600 7687782400 7837934400 8136704000 8360463360 8648755200 8708816000 8917827584 9153792000 9225338880 9609728000 9764044800 9797418000 10032556032 10100736000 10450579200 10810944000 11070406656 11147284480 11531673600 11716853760 12205056000 12540695040 13063224000 13376741376 13838008320 13934105600 14414592000 14646067200 15375564800 15675868800 16273408000 16720926720 17297510400 17417632000 17835655168 18307584000 18450677760 19219456000 19528089600 19594836000 20065112064 20901158400 21621888000 22294568960 23063347200 24410112000 25081390080 26126448000 26753482752 27676016640 27868211200 28829184000 29292134400 30751129600 31351737600 32546816000 33441853440 34595020800 34835264000 35671310336 36615168000 38438912000 39189672000 40130224128 41802316800 43243776000 44589137920 46126694400 48820224000 50162780160 52252896000 53506965504 55352033280 55736422400 57658368000 58584268800 62703475200 66883706880 69190041600 69670528000 73230336000 76877824000 78379344000 80260448256 83604633600 86487552000 89178275840 92253388800 97640448000 100325560320 104505792000 107013931008 111472844800 115316736000 125406950400 133767413760 138380083200 139341056000 146460672000 153755648000 156758688000 160520896512 167209267200 172975104000 178356551680 200651120640 209011584000 222945689600 230633472000 250813900800 267534827520 276760166400 278682112000 292921344000 313517376000 321041793024 334418534400 345950208000 401302241280 418023168000 445891379200 461266944000 501627801600 535069655040 557364224000 627034752000 668837068800 691900416000 802604482560 836046336000 891782758400 1003255603200 1114728448000 1254069504000 1337674137600 1383800832000 1605208965120 1672092672000 2006511206400 2229456896000 2508139008000 2675348275200 3344185344000 4013022412800 4458913792000 5016278016000 6688370688000 8026044825600 10032556032000 13376741376000 20065112064000 40130224128000
- Sum of all divisors σ(n): 150771217713480
- Sum of proper divisors (its aliquot sum) s(n): 110640993585480
- 40130224128000 is an abundant number, because the sum of its proper divisors (110640993585480) is greater than itself. Its abundance is 70510769457480
Bases of 40130224128000
- Binary: 10010001111111100010111100000100000000000000002
- Hexadecimal: 0x247F8BC10000
- Base-36: E83KJBB40
Squares and roots of 40130224128000
- 40130224128000 squared (401302241280002) is 1610434888563513360384000000
- 40130224128000 cubed (401302241280003) is 64627113021604495115332356145152000000000
-
The
square root of 40130224128000 is 6334842.0760110509 -
The
cube root of 40130224128000 is 34236.5920851955
Scales and comparisons
How big is 40130224128000?- 40,130,224,128,000 seconds is equal to 1,276,016 years, 51 weeks, 5 days, 16 hours.
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To count from 1 to 40,130,224,128,000 would take you about three million, one hundred ninety thousand and forty-two 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 40130224128000 cubic inches would be around 2853 feet tall.
Recreational maths with 40130224128000
- 40130224128000 backwards is 00082142203104
- The number of decimal digits it has is: 14
- The sum of 40130224128000's digits is 27
- More coming soon!
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The information we have on file for 40130224128000 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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