40820752128000
40,820,752,128,000 is an even composite number composed of five prime numbers multiplied together.
40820752128000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 40820752128000:
211 × 3 × 53 × 134 × 1861
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 13 × 13 × 13 × 1861)See below for interesting mathematical facts about the number 40820752128000 from the Numbermatics database.
Names of 40820752128000
- Cardinal: 40820752128000 can be written as Forty trillion, eight hundred twenty billion, seven hundred fifty-two million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.0820752128 × 1013
Factors of 40820752128000
Divisors of 40820752128000
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 120 125 128 130 150 156 160 169 192 195 200 208 240 250 256 260 300 312 320 325 338 375 384 390 400 416 480 500 507 512 520 600 624 640 650 676 750 768 780 800 832 845 960 975 1000 1014 1024 1040 1200 1248 1280 1300 1352 1500 1536 1560 1600 1625 1664 1690 1861 1920 1950 2000 2028 2048 2080 2197 2400 2496 2535 2560 2600 2704 3000 3072 3120 3200 3250 3328 3380 3722 3840 3900 4000 4056 4160 4225 4394 4800 4875 4992 5070 5120 5200 5408 5583 6000 6144 6240 6400 6500 6591 6656 6760 7444 7680 7800 8000 8112 8320 8450 8788 9305 9600 9750 9984 10140 10240 10400 10816 10985 11166 12000 12480 12675 12800 13000 13182 13312 13520 14888 15360 15600 16000 16224 16640 16900 17576 18610 19200 19500 19968 20280 20800 21125 21632 21970 22332 24000 24193 24960 25350 25600 26000 26364 26624 27040 27915 28561 29776 30720 31200 32000 32448 32955 33280 33800 35152 37220 38400 39000 39936 40560 41600 42250 43264 43940 44664 46525 48000 48386 49920 50700 51200 52000 52728 54080 54925 55830 57122 59552 62400 63375 64000 64896 65910 66560 67600 70304 72579 74440 76800 78000 79872 81120 83200 84500 85683 86528 87880 89328 93050 96000 96772 99840 101400 104000 105456 108160 109850 111660 114244 119104 120965 124800 126750 128000 129792 131820 133120 135200 139575 140608 142805 145158 148880 153600 156000 162240 164775 166400 169000 171366 173056 175760 178656 186100 192000 193544 199680 202800 208000 210912 216320 219700 223320 228488 232625 238208 241930 249600 253500 256000 259584 263640 270400 274625 279150 281216 285610 290316 297760 312000 314509 324480 329550 332800 338000 342732 346112 351520 357312 362895 372200 384000 387088 399360 405600 416000 421824 428415 432640 439400 446640 456976 465250 476416 483860 499200 507000 519168 527280 540800 549250 558300 562432 571220 580632 595520 604825 624000 629018 648960 659100 665600 676000 685464 697875 703040 714025 714624 725790 744400 768000 774176 811200 823875 832000 843648 856830 865280 878800 893280 913952 930500 943527 952832 967720 998400 1014000 1038336 1054560 1081600 1098500 1116600 1124864 1142440 1161264 1191040 1209650 1248000 1258036 1297920 1318200 1352000 1370928 1395750 1406080 1428050 1429248 1451580 1488800 1548352 1572545 1622400 1647750 1664000 1687296 1713660 1730560 1757600 1786560 1814475 1827904 1861000 1887054 1905664 1935440 1996800 2028000 2109120 2142075 2163200 2197000 2233200 2249728 2284880 2322528 2382080 2419300 2496000 2516072 2595840 2636400 2704000 2741856 2791500 2812160 2856100 2858496 2903160 2977600 3024125 3096704 3145090 3244800 3295500 3328000 3374592 3427320 3515200 3570125 3573120 3628950 3655808 3722000 3774108 3811328 3870880 4056000 4088617 4218240 4284150 4326400 4394000 4466400 4499456 4569760 4645056 4717635 4764160 4838600 4992000 5032144 5191680 5272800 5408000 5483712 5583000 5624320 5712200 5716992 5806320 5955200 6048250 6193408 6290180 6489600 6591000 6749184 6854640 7030400 7140250 7146240 7257900 7311616 7444000 7548216 7741760 7862725 8112000 8177234 8436480 8568300 8652800 8788000 8932800 9072375 9139520 9290112 9435270 9528320 9677200 9984000 10064288 10545600 10710375 10816000 10967424 11166000 11248640 11424400 11433984 11612640 11910400 12096500 12265851 12386816 12580360 12979200 13182000 13498368 13709280 14060800 14280500 14292480 14515800 14623232 14888000 15096432 15483520 15725450 16224000 16354468 16872960 17136600 17576000 17865600 18144750 18279040 18580224 18870540 19056640 19354400 20128576 20443085 21091200 21420750 21632000 21934848 22332000 22497280 22848800 23225280 23588175 23820800 24193000 24531702 24773632 25160720 25958400 26364000 27418560 28121600 28561000 28584960 29031600 29246464 29776000 30192864 30967040 31450900 32448000 32708936 33745920 34273200 35152000 35731200 36289500 36558080 37160448 37741080 38708800 39313625 40257152 40886170 42182400 42841500 43264000 43869696 44664000 45697600 46450560 47176350 47641600 48386000 49063404 49547264 50321440 52728000 53152021 54837120 56243200 57122000 57169920 58063200 58492928 59552000 60385728 61329255 61934080 62901800 64896000 65417872 67491840 68546400 70304000 71462400 72579000 73116160 74320896 75482160 77417600 78627250 80514304 81772340 84364800 85683000 87739392 89328000 91395200 92901120 94352700 95283200 96772000 98126808 100642880 102215425 105456000 106304042 109674240 112486400 114244000 116126400 117940875 119104000 120771456 122658510 123868160 125803600 129792000 130835744 137092800 140608000 142924800 145158000 146232320 148641792 150964320 154835200 157254500 159456063 161028608 163544680 168729600 171366000 175478784 178656000 182790400 185802240 188705400 193544000 196253616 201285760 204430850 210912000 212608084 219348480 228488000 232252800 235881750 238208000 241542912 245317020 247736320 251607200 261671488 265760105 274185600 281216000 285849600 290316000 292464640 301928640 306646275 309670400 314509000 318912126 322057216 327089360 337459200 342732000 357312000 365580800 371604480 377410800 387088000 392507232 402571520 408861700 421824000 425216168 438696960 456976000 464505600 471763500 476416000 483085824 490634040 503214400 511077125 523342976 531520210 548371200 562432000 580632000 603857280 613292550 619340800 629018000 637824252 644114432 654178720 685464000 714624000 731161600 743208960 754821600 774176000 785014464 797280315 805143040 817723400 843648000 850432336 877393920 913952000 929011200 943527000 966171648 981268080 1006428800 1022154250 1046685952 1063040420 1096742400 1161264000 1207714560 1226585100 1238681600 1258036000 1275648504 1308357440 1328800525 1370928000 1429248000 1462323200 1509643200 1533231375 1548352000 1570028928 1594560630 1610286080 1635446800 1687296000 1700864672 1827904000 1858022400 1887054000 1932343296 1962536160 2012857600 2044308500 2093371904 2126080840 2193484800 2322528000 2415429120 2453170200 2516072000 2551297008 2616714880 2657601050 2741856000 3019286400 3066462750 3096704000 3140057856 3189121260 3220572160 3270893600 3401729344 3655808000 3716044800 3774108000 3925072320 3986401575 4025715200 4088617000 4186743808 4252161680 4386969600 4645056000 4830858240 4906340400 5032144000 5102594016 5233429760 5315202100 5483712000 6038572800 6132925500 6193408000 6280115712 6378242520 6541787200 6644002625 6803458688 7311616000 7548216000 7850144640 7972803150 8051430400 8177234000 8373487616 8504323360 9290112000 9661716480 9812680800 10064288000 10205188032 10466859520 10630404200 10967424000 12077145600 12265851000 12560231424 12756485040 13083574400 13288005250 13606917376 15096432000 15700289280 15945606300 16102860800 16354468000 17008646720 18580224000 19625361600 19932007875 20128576000 20410376064 20933719040 21260808400 21934848000 24154291200 24531702000 25120462848 25512970080 26167148800 26576010500 27213834752 30192864000 31400578560 31891212600 32708936000 34017293440 39250723200 39864015750 40257152000 40820752128 41867438080 42521616800 48308582400 49063404000 51025940160 52334297600 53152021000 54427669504 60385728000 62801157120 63782425200 65417872000 68034586880 78501446400 79728031500 80514304000 81641504256 85043233600 98126808000 102051880320 104668595200 106304042000 108855339008 120771456000 125602314240 127564850400 130835744000 136069173760 157002892800 159456063000 163283008512 170086467200 196253616000 204103760640 209337190400 212608084000 241542912000 255129700800 261671488000 272138347520 314005785600 318912126000 326566017024 340172934400 392507232000 408207521280 425216168000 510259401600 523342976000 544276695040 628011571200 637824252000 680345868800 785014464000 816415042560 850432336000 1020518803200 1046685952000 1275648504000 1360691737600 1570028928000 1632830085120 1700864672000 2041037606400 2551297008000 2721383475200 3140057856000 3401729344000 4082075212800 5102594016000 6803458688000 8164150425600 10205188032000 13606917376000 20410376064000 40820752128000
- Sum of all divisors σ(n): 147215154209760
- Sum of proper divisors (its aliquot sum) s(n): 106394402081760
- 40820752128000 is an abundant number, because the sum of its proper divisors (106394402081760) is greater than itself. Its abundance is 65573649953760
Bases of 40820752128000
- Binary: 10010100100000010100100110111000011000000000002
- Hexadecimal: 0x2520526E1800
- Base-36: EGWSLUTXC
Squares and roots of 40820752128000
- 40820752128000 squared (408207521280002) is 1666333804295616528384000000
- 40820752128000 cubed (408207521280003) is 68020999187658623942103140401152000000000
-
The
square root of 40820752128000 is 6389111.9983922649 -
The
cube root of 40820752128000 is 34431.8481328779
Scales and comparisons
How big is 40820752128000?- 40,820,752,128,000 seconds is equal to 1,297,973 years, 33 weeks, 5 days, 21 hours, 20 minutes.
-
To count from 1 to 40,820,752,128,000 would take you about three million, two hundred forty-four thousand, nine hundred thirty-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 40820752128000 cubic inches would be around 2869.3 feet tall.
Recreational maths with 40820752128000
- 40820752128000 backwards is 00082125702804
- 40820752128000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 40820752128000's digits is 39
- More coming soon!
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