381314138112000
381,314,138,112,000 is an even composite number composed of five prime numbers multiplied together.
381314138112000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, two hundred eight divisors.
Prime factorization of 381314138112000:
222 × 35 × 53 × 41 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 41 × 73)See below for interesting mathematical facts about the number 381314138112000 from the Numbermatics database.
Names of 381314138112000
- Cardinal: 381314138112000 can be written as Three hundred eighty-one trillion, three hundred fourteen billion, one hundred thirty-eight million, one hundred twelve thousand.
Scientific notation
- Scientific notation: 3.81314138112 × 1014
Factors of 381314138112000
Divisors of 381314138112000
- Number of divisors d(n): 2208
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 41 45 48 50 54 60 64 72 73 75 80 81 82 90 96 100 108 120 123 125 128 135 144 146 150 160 162 164 180 192 200 205 216 219 225 240 243 246 250 256 270 288 292 300 320 324 328 360 365 369 375 384 400 405 410 432 438 450 480 486 492 500 512 540 576 584 600 615 640 648 656 657 675 720 730 738 750 768 800 810 820 864 876 900 960 972 984 1000 1024 1025 1080 1095 1107 1125 1152 1168 1200 1215 1230 1280 1296 1312 1314 1350 1440 1460 1476 1500 1536 1600 1620 1640 1728 1752 1800 1825 1845 1920 1944 1968 1971 2000 2025 2048 2050 2160 2190 2214 2250 2304 2336 2400 2430 2460 2560 2592 2624 2628 2700 2880 2920 2952 2993 3000 3072 3075 3200 3240 3280 3285 3321 3375 3456 3504 3600 3650 3690 3840 3888 3936 3942 4000 4050 4096 4100 4320 4380 4428 4500 4608 4672 4800 4860 4920 5120 5125 5184 5248 5256 5400 5475 5535 5760 5840 5904 5913 5986 6000 6075 6144 6150 6400 6480 6560 6570 6642 6750 6912 7008 7200 7300 7380 7680 7776 7872 7884 8000 8100 8192 8200 8640 8760 8856 8979 9000 9125 9216 9225 9344 9600 9720 9840 9855 9963 10125 10240 10250 10368 10496 10512 10800 10950 11070 11520 11680 11808 11826 11972 12000 12150 12288 12300 12800 12960 13120 13140 13284 13500 13824 14016 14400 14600 14760 14965 15360 15375 15552 15744 15768 16000 16200 16384 16400 16425 16605 17280 17520 17712 17739 17958 18000 18250 18432 18450 18688 19200 19440 19680 19710 19926 20250 20480 20500 20736 20992 21024 21600 21900 22140 23040 23360 23616 23652 23944 24000 24300 24576 24600 25600 25920 26240 26280 26568 26937 27000 27375 27648 27675 28032 28800 29200 29520 29565 29930 30375 30720 30750 31104 31488 31536 32000 32400 32768 32800 32850 33210 34560 35040 35424 35478 35916 36000 36500 36864 36900 37376 38400 38880 39360 39420 39852 40500 40960 41000 41472 41984 42048 43200 43800 44280 44895 46080 46125 46720 47232 47304 47888 48000 48600 49152 49200 49275 49815 51200 51840 52480 52560 53136 53874 54000 54750 55296 55350 56064 57600 58400 59040 59130 59860 60750 61440 61500 62208 62976 63072 64000 64800 65536 65600 65700 66420 69120 70080 70848 70956 71832 72000 73000 73728 73800 74752 74825 76800 77760 78720 78840 79704 80811 81000 81920 82000 82125 82944 83025 83968 84096 86400 87600 88560 88695 89790 92160 92250 93440 94464 94608 95776 96000 97200 98304 98400 98550 99630 102400 103680 104960 105120 106272 107748 108000 109500 110592 110700 112128 115200 116800 118080 118260 119720 121500 122880 123000 124416 125952 126144 128000 129600 131072 131200 131400 132840 134685 138240 138375 140160 141696 141912 143664 144000 146000 147456 147600 147825 149504 149650 153600 155520 157440 157680 159408 161622 162000 163840 164000 164250 165888 166050 167936 168192 172800 175200 177120 177390 179580 184320 184500 186880 188928 189216 191552 192000 194400 196608 196800 197100 199260 204800 207360 209920 210240 212544 215496 216000 219000 221184 221400 224256 224475 230400 233600 236160 236520 239440 242433 243000 245760 246000 246375 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441335808000 465017241600 470758195200 476642672640 496502784000 508418850816 516685824000 522348134400 529602969600 564909834240 580386816000 581271552000 588447744000 595803340800 620022988800 635523563520 652935168000 662003712000 706137292800 744754176000 762628276224 775028736000 784596992000 794404454400 847364751360 870580224000 882671616000 930034483200 941516390400 953285345280 993005568000 1016837701632 1033371648000 1044696268800 1059205939200 1162543104000 1176895488000 1191606681600 1271047127040 1305870336000 1324007424000 1412274585600 1489508352000 1525256552448 1550057472000 1569193984000 1588808908800 1694729502720 1741160448000 1765343232000 1860068966400 1906570690560 1986011136000 2118411878400 2325086208000 2353790976000 2383213363200 2542094254080 2611740672000 2648014848000 2824549171200 2979016704000 3050513104896 3100114944000 3177617817600 3530686464000 3813141381120 3972022272000 4236823756800 4650172416000 4707581952000 4766426726400 5084188508160 5223481344000 5296029696000 5958033408000 6355235635200 7061372928000 7626282762240 7944044544000 8473647513600 9300344832000 9532853452800 10592059392000 11916066816000 12710471270400 14122745856000 15252565524480 15888089088000 19065706905600 21184118784000 23832133632000 25420942540800 31776178176000 38131413811200 42368237568000 47664267264000 63552356352000 76262827622400 95328534528000 127104712704000 190657069056000 381314138112000
- Sum of all divisors σ(n): 1480460554931904
- Sum of proper divisors (its aliquot sum) s(n): 1099146416819904
- 381314138112000 is an abundant number, because the sum of its proper divisors (1099146416819904) is greater than itself. Its abundance is 717832278707904
Bases of 381314138112000
- Binary: 10101101011001101100111011100000000000000000000002
- Hexadecimal: 0x15ACD9DC00000
- Base-36: 3R5XAOLC00
Squares and roots of 381314138112000
- 381314138112000 squared (3813141381120002) is 145400471924097410924544000000
- 381314138112000 cubed (3813141381120003) is 55443255632815258530223188426620928000000000
-
The
square root of 381314138112000 is 19527266.5294454359 -
The
cube root of 381314138112000 is 72514.9640526627
Scales and comparisons
How big is 381314138112000?- 381,314,138,112,000 seconds is equal to 12,124,610 years, 5 weeks, 5 days.
-
To count from 1 to 381,314,138,112,000 would take you about thirty million, three hundred eleven thousand, five hundred twenty-five 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 381314138112000 cubic inches would be around 6042.9 feet tall.
Recreational maths with 381314138112000
- 381314138112000 backwards is 000211831413183
- 381314138112000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 381314138112000's digits is 36
- More coming soon!
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The information we have on file for 381314138112000 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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