40968375552000
40,968,375,552,000 is an even composite number composed of seven prime numbers multiplied together.
40968375552000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 40968375552000:
211 × 32 × 53 × 13 × 41 × 73 × 457
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 41 × 73 × 457)See below for interesting mathematical facts about the number 40968375552000 from the Numbermatics database.
Names of 40968375552000
- Cardinal: 40968375552000 can be written as Forty trillion, nine hundred sixty-eight billion, three hundred seventy-five million, five hundred fifty-two thousand.
Scientific notation
- Scientific notation: 4.0968375552 × 1013
Factors of 40968375552000
Divisors of 40968375552000
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 41 45 48 50 52 60 64 65 72 73 75 78 80 82 90 96 100 104 117 120 123 125 128 130 144 146 150 156 160 164 180 192 195 200 205 208 219 225 234 240 246 250 256 260 288 292 300 312 320 325 328 360 365 369 375 384 390 400 410 416 438 450 457 468 480 492 500 512 520 533 576 584 585 600 615 624 640 650 656 657 720 730 738 750 768 780 800 820 832 876 900 914 936 949 960 975 984 1000 1024 1025 1040 1066 1095 1125 1152 1168 1170 1200 1230 1248 1280 1300 1312 1314 1371 1440 1460 1476 1500 1536 1560 1599 1600 1625 1640 1664 1752 1800 1825 1828 1845 1872 1898 1920 1950 1968 2000 2048 2050 2080 2132 2190 2250 2285 2304 2336 2340 2400 2460 2496 2560 2600 2624 2628 2665 2742 2847 2880 2920 2925 2952 2993 3000 3072 3075 3120 3198 3200 3250 3280 3285 3328 3504 3600 3650 3656 3690 3744 3796 3840 3900 3936 4000 4100 4113 4160 4264 4380 4500 4570 4608 4672 4680 4745 4797 4800 4875 4920 4992 5120 5125 5200 5248 5256 5330 5475 5484 5694 5760 5840 5850 5904 5941 5986 6000 6144 6150 6240 6396 6400 6500 6560 6570 6656 6855 7008 7200 7300 7312 7380 7488 7592 7680 7800 7872 7995 8000 8200 8226 8320 8528 8541 8760 8979 9000 9125 9140 9216 9225 9344 9360 9490 9594 9600 9750 9840 9984 10240 10250 10400 10496 10512 10660 10950 10968 11388 11425 11520 11680 11700 11808 11882 11972 12000 12300 12480 12792 12800 13000 13120 13140 13312 13325 13710 14016 14235 14400 14600 14624 14625 14760 14965 14976 15184 15360 15375 15600 15744 15990 16000 16400 16425 16452 16640 17056 17082 17520 17823 17958 18000 18250 18280 18432 18450 18688 18720 18737 18980 19188 19200 19500 19680 19968 20500 20565 20800 20992 21024 21320 21900 21936 22776 22850 23040 23360 23400 23616 23725 23764 23944 23985 24000 24600 24960 25584 25600 26000 26240 26280 26624 26650 26937 27375 27420 28032 28470 28800 29200 29248 29250 29520 29705 29930 29952 30368 30720 30750 31200 31488 31980 32000 32800 32850 32904 33280 33361 34112 34164 34275 35040 35646 35916 36000 36500 36560 36900 37376 37440 37474 37960 38376 38400 38909 39000 39360 39936 39975 41000 41130 41600 41984 42048 42640 42705 43800 43872 44895 45552 45700 46080 46125 46720 46800 47232 47450 47528 47888 47970 48000 49200 49920 51168 51200 52000 52480 52560 53300 53469 53874 54750 54840 56064 56211 56940 57125 57600 58400 58496 58500 59040 59410 59860 59904 60736 61500 62400 62976 63960 64000 65600 65700 65808 66560 66625 66722 68224 68328 68550 70080 71175 71292 71832 72000 73000 73120 73800 74752 74825 74880 74948 75920 76752 76800 77818 78000 78720 79872 79950 82000 82125 82260 83200 83968 84096 85280 85410 87600 87744 89115 89790 91104 91400 92160 92250 93440 93600 93685 94464 94900 95056 95776 95940 96000 98400 99840 100083 102336 102825 104000 104960 105120 106600 106938 107748 109500 109680 112128 112422 113880 114250 115200 116727 116800 116992 117000 118080 118625 118820 119720 119808 119925 121472 123000 124800 125952 127920 128000 131200 131400 131616 133120 133250 133444 134685 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1969633440 1992140800 1998457344 2051701500 2081726400 2100942336 2133769560 2135104000 2158502400 2186496000 2188481600 2192229000 2220508160 2222676625 2241158400 2244842496 2276020864 2281344000 2298624000 2338377600 2398336000 2401992000 2462041800 2490176000 2494269440 2498071680 2560523472 2562124800 2602158000 2626177920 2664609792 2667211950 2698128000 2735602000 2737612800 2775635200 2801256448 2801448000 2806053120 2845026080 2878003200 2922972000 2988211200 3074549760 3077552250 3117836800 3122589600 3151413504 3200654340 3202656000 3282722400 3330762240 3414031296 3422016000 3447936000 3469544000 3501570560 3507566400 3556282600 3585853440 3597504000 3735264000 3741404160 3843187200 3897296000 3903237000 3939266880 3996914688 4000817925 4103403000 4163452800 4201884672 4267539120 4270208000 4317004800 4376963200 4384458000 4441016320 4445353250 4482316800 4489684992 4552041728 4562688000 4676755200 4796672000 4803984000 4924083600 4980352000 4996143360 5121046944 5124249600 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17070156480 17507852800 17537832000 17781413000 17929267200 18208166912 18707020800 19215936000 19696334400 19984573440 20004089625 20484187776 20817264000 21009423360 21337695600 21585024000 21884816000 22205081600 22411584000 22448424960 22760208640 23383776000 24620418000 24980716800 25211308032 25605234720 25621248000 26261779200 26672119500 27312250368 27756352000 28060531200 28450260800 29882112000 31178368000 31225896000 31514135040 32006543400 32827224000 33307622400 34140312960 35015705600 35075664000 35562826000 36416333824 37414041600 38431872000 39392668800 39969146880 40008179250 40968375552 41634528000 42018846720 42675391200 43170048000 43769632000 44823168000 45520417280 46767552000 49240836000 49961433600 51210469440 52523558400 53344239000 54624500736 55512704000 56121062400 56900521600 62356736000 62451792000 63028270080 64013086800 65654448000 66615244800 68280625920 70031411200 70151328000 71125652000 76863744000 78785337600 80016358500 81936751104 83269056000 85350782400 87539264000 89646336000 91040834560 93535104000 98481672000 99922867200 102420938880 105047116800 106688478000 109249001472 111025408000 112242124800 113801043200 124903584000 126056540160 128026173600 131308896000 136561251840 140302656000 142251304000 157570675200 160032717000 163873502208 166538112000 170701564800 175078528000 182081669120 187070208000 196963344000 199845734400 204841877760 210094233600 213376956000 227602086400 249807168000 256052347200 262617792000 273122503680 280605312000 284502608000 315141350400 320065434000 327747004416 333076224000 341403129600 350157056000 393926688000 409683755520 426753912000 455204172800 499614336000 512104694400 525235584000 546245007360 561210624000 569005216000 630282700800 640130868000 682806259200 787853376000 819367511040 853507824000 910408345600 999228672000 1024209388800 1050471168000 1138010432000 1280261736000 1365612518400 1575706752000 1638735022080 1707015648000 2048418777600 2276020864000 2560523472000 2731225036800 3151413504000 3414031296000 4096837555200 4552041728000 5121046944000 6828062592000 8193675110400 10242093888000 13656125184000 20484187776000 40968375552000
- Sum of all divisors σ(n): 165499383591360
- Sum of proper divisors (its aliquot sum) s(n): 124531008039360
- 40968375552000 is an abundant number, because the sum of its proper divisors (124531008039360) is greater than itself. Its abundance is 83562632487360
Bases of 40968375552000
- Binary: 10010101000010101100010111100011001000000000002
- Hexadecimal: 0x2542B178C800
- Base-36: EISM114W0
Squares and roots of 40968375552000
- 40968375552000 squared (409683755520002) is 1678407795369711304704000000
- 40968375552000 cubed (409683755520003) is 68761640890110699416933376196608000000000
-
The
square root of 40968375552000 is 6400654.3065533543 -
The
cube root of 40968375552000 is 34473.3044350401
Scales and comparisons
How big is 40968375552000?- 40,968,375,552,000 seconds is equal to 1,302,667 years, 32 weeks, 1 day, 8 hours.
-
To count from 1 to 40,968,375,552,000 would take you about three million, two hundred fifty-six thousand, six hundred sixty-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 40968375552000 cubic inches would be around 2872.8 feet tall.
Recreational maths with 40968375552000
- 40968375552000 backwards is 00025557386904
- The number of decimal digits it has is: 14
- The sum of 40968375552000's digits is 54
- More coming soon!
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Numbermatics. (2024). Number 40968375552000 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/40968375552000/
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Numbermatics. 2024. "Number 40968375552000 - Facts about the integer". https://numbermatics.com/n/40968375552000/
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