40680244128000
40,680,244,128,000 is an even composite number composed of six prime numbers multiplied together.
40680244128000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 40680244128000:
28 × 3 × 53 × 53 × 61 × 131071
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 53 × 61 × 131071)See below for interesting mathematical facts about the number 40680244128000 from the Numbermatics database.
Names of 40680244128000
- Cardinal: 40680244128000 can be written as Forty trillion, six hundred eighty billion, two hundred forty-four million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.0680244128 × 1013
Factors of 40680244128000
Divisors of 40680244128000
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 53 60 61 64 75 80 96 100 106 120 122 125 128 150 159 160 183 192 200 212 240 244 250 256 265 300 305 318 320 366 375 384 400 424 480 488 500 530 600 610 636 640 732 750 768 795 800 848 915 960 976 1000 1060 1200 1220 1272 1280 1325 1464 1500 1525 1590 1600 1696 1830 1920 1952 2000 2120 2400 2440 2544 2650 2928 3000 3050 3180 3200 3233 3392 3660 3840 3904 3975 4000 4240 4575 4800 4880 5088 5300 5856 6000 6100 6360 6400 6466 6625 6784 7320 7625 7808 7950 8000 8480 9150 9600 9699 9760 10176 10600 11712 12000 12200 12720 12932 13250 13568 14640 15250 15616 15900 16000 16165 16960 18300 19200 19398 19520 19875 20352 21200 22875 23424 24000 24400 25440 25864 26500 29280 30500 31800 32000 32330 33920 36600 38796 39040 39750 40704 42400 45750 46848 48000 48495 48800 50880 51728 53000 58560 61000 63600 64660 67840 73200 77592 78080 79500 80825 84800 91500 96000 96990 97600 101760 103456 106000 117120 122000 127200 129320 131071 146400 155184 159000 161650 169600 183000 193980 195200 203520 206912 212000 234240 242475 244000 254400 258640 262142 292800 310368 318000 323300 339200 366000 387960 390400 393213 404125 413824 424000 484950 488000 508800 517280 524284 585600 620736 636000 646600 655355 732000 775920 786426 808250 827648 848000 969900 976000 1017600 1034560 1048568 1171200 1212375 1241472 1272000 1293200 1310710 1464000 1551840 1572852 1616500 1696000 1939800 1952000 1966065 2069120 2097136 2424750 2482944 2544000 2586400 2621420 2928000 3103680 3145704 3233000 3276775 3879600 3932130 4138240 4194272 4849500 5088000 5172800 5242840 5856000 6207360 6291408 6466000 6553550 6946763 7759200 7864260 7995331 8388544 9699000 9830325 10345600 10485680 12414720 12582816 12932000 13107100 13893526 15518400 15728520 15990662 16383875 16777088 19398000 19660650 20691200 20840289 20971360 23985993 25165632 25864000 26214200 27787052 31036800 31457040 31981324 32767750 33554176 34733815 38796000 39321300 39976655 41680578 41942720 47971986 49151625 50331264 51728000 52428400 55574104 62073600 62914080 63962648 65535500 69467630 77592000 78642600 79953310 83361156 83885440 95943972 98303250 100662528 103456000 104201445 104856800 111148208 119929965 125828160 127925296 131071000 138935260 155184000 157285200 159906620 166722312 167770880 173669075 191887944 196606500 199883275 208402890 209713600 222296416 239859930 251656320 255850592 262142000 277870520 310368000 314570400 319813240 333444624 347338150 383775888 393213000 399766550 416805780 419427200 423752543 444592832 479719860 503312640 511701184 521007225 524284000 555741040 599649825 629140800 639626480 666889248 694676300 767551776 786426000 799533100 833611560 838854400 847505086 868345375 889185664 959439720 999416375 1023402368 1042014450 1048568000 1111482080 1199299650 1258281600 1271257629 1279252960 1333778496 1389352600 1535103552 1572852000 1599066200 1667223120 1695010172 1736690750 1778371328 1918879440 1998832750 2046804736 2084028900 2097136000 2118762715 2222964160 2398599300 2516563200 2542515258 2558505920 2605036125 2667556992 2778705200 2998249125 3070207104 3145704000 3198132400 3334446240 3390020344 3473381500 3837758880 3997665500 4168057800 4194272000 4237525430 4445928320 4797198600 5085030516 5117011840 5210072250 5335113984 5557410400 5996498250 6140414208 6291408000 6356288145 6396264800 6668892480 6780040688 6946763000 7675517760 7995331000 8336115600 8475050860 8891856640 9594397200 10170061032 10234023680 10420144500 10593813575 11114820800 11992996500 12582816000 12712576290 12792529600 13337784960 13560081376 13893526000 15351035520 15990662000 16672231200 16950101720 19188794400 20340122064 20840289000 21187627150 22229641600 23985993000 25425152580 25585059200 26675569920 27120162752 27787052000 30702071040 31781440725 31981324000 33344462400 33900203440 38377588800 40680244128 41680578000 42375254300 44459283200 47971986000 50850305160 51170118400 52969067875 54240325504 55574104000 63562881450 63962648000 66688924800 67800406880 76755177600 81360488256 83361156000 84750508600 95943972000 101700610320 105938135750 108480651008 111148208000 127125762900 127925296000 133377849600 135600813760 153510355200 158907203625 162720976512 166722312000 169501017200 191887944000 203401220640 211876271500 222296416000 254251525800 255850592000 271201627520 317814407250 325441953024 333444624000 339002034400 383775888000 406802441280 423752543000 508503051600 542403255040 635628814500 666889248000 678004068800 767551776000 813604882560 847505086000 1017006103200 1271257629000 1356008137600 1627209765120 1695010172000 2034012206400 2542515258000 2712016275200 3390020344000 4068024412800 5085030516000 6780040688000 8136048825600 10170061032000 13560081376000 20340122064000 40680244128000
- Sum of all divisors σ(n): 139926788112384
- Sum of proper divisors (its aliquot sum) s(n): 99246543984384
- 40680244128000 is an abundant number, because the sum of its proper divisors (99246543984384) is greater than itself. Its abundance is 58566299856384
Bases of 40680244128000
- Binary: 10010011111111100110111000000000101001000000002
- Hexadecimal: 0x24FF9B802900
- Base-36: EF48V0R9C
Squares and roots of 40680244128000
- 40680244128000 squared (406802441280002) is 1654882262313678480384000000
- 40680244128000 cubed (406802441280003) is 67321014434017374695721179185152000000000
-
The
square root of 40680244128000 is 6378106.6256374235 -
The
cube root of 40680244128000 is 34392.2970764269
Scales and comparisons
How big is 40680244128000?- 40,680,244,128,000 seconds is equal to 1,293,505 years, 48 weeks, 2 days, 21 hours, 20 minutes.
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To count from 1 to 40,680,244,128,000 would take you about three million, two hundred thirty-three thousand, seven hundred sixty-four 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 40680244128000 cubic inches would be around 2866 feet tall.
Recreational maths with 40680244128000
- 40680244128000 backwards is 00082144208604
- The number of decimal digits it has is: 14
- The sum of 40680244128000's digits is 39
- More coming soon!
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