993823920128000
993,823,920,128,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 993823920128000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2304 divisors.
993823920128000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 993823920128000:
215 × 53 × 132 × 192 × 41 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 13 × 19 × 19 × 41 × 97)See below for interesting mathematical facts about the number 993823920128000 from the Numbermatics database.
Names of 993823920128000
- Cardinal: 993823920128000 can be written as Nine hundred ninety-three trillion, eight hundred twenty-three billion, nine hundred twenty million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 9.93823920128 × 1014
Factors of 993823920128000
Divisors of 993823920128000
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 25 26 32 38 40 41 50 52 64 65 76 80 82 95 97 100 104 125 128 130 152 160 164 169 190 194 200 205 208 247 250 256 260 304 320 325 328 338 361 380 388 400 410 416 475 485 494 500 512 520 533 608 640 650 656 676 722 760 776 779 800 820 832 845 950 970 988 1000 1024 1025 1040 1066 1216 1235 1261 1280 1300 1312 1352 1444 1520 1552 1558 1600 1625 1640 1664 1690 1805 1843 1900 1940 1976 2000 2048 2050 2080 2132 2375 2425 2432 2470 2522 2560 2600 2624 2665 2704 2888 3040 3104 3116 3200 3211 3250 3280 3328 3380 3610 3686 3800 3880 3895 3952 3977 4000 4096 4100 4160 4225 4264 4693 4750 4850 4864 4940 5044 5120 5125 5200 5248 5330 5408 5776 6080 6175 6208 6232 6305 6400 6422 6500 6560 6656 6760 6929 7220 7372 7600 7760 7790 7904 7954 8000 8192 8200 8320 8450 8528 9025 9215 9386 9500 9700 9728 9880 10088 10127 10240 10250 10400 10496 10660 10816 11552 12125 12160 12350 12416 12464 12610 12800 12844 13000 13120 13312 13325 13520 13858 14440 14744 14801 15200 15520 15580 15808 15908 16000 16055 16384 16393 16400 16640 16900 17056 18050 18430 18772 19000 19400 19456 19475 19760 19885 20176 20254 20480 20500 20800 20992 21125 21320 21632 23104 23465 23959 24250 24320 24700 24832 24928 25220 25600 25688 26000 26240 26624 26650 27040 27716 28880 29488 29602 30400 30875 31040 31160 31525 31616 31816 32000 32110 32768 32786 32800 33280 33800 34112 34645 35017 36100 36860 37544 38000 38800 38912 38950 39520 39770 40352 40508 40960 41000 41600 41984 42250 42640 43264 45125 46075 46208 46930 47918 48500 48640 49400 49664 49856 50440 50635 51200 51376 51701 52000 52480 53248 53300 54080 55432 57760 58976 59204 60800 61009 61750 62080 62320 63050 63232 63632 64000 64220 65572 65600 66560 66625 67600 68224 69290 70034 72200 73720 74005 75088 75563 76000 77600 77824 77900 79040 79540 80275 80704 81016 81920 81965 82000 83200 83968 84500 85280 86528 90250 92150 92416 93860 95836 97000 97280 97375 98800 99328 99425 99712 100880 101270 102400 102752 103402 104000 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298624976000 302995097600 305791975424 309506048000 310569975040 318942208000 320175232000 326915763200 344121856000 367538432000 372917043200 378743872000 382239969280 388212468800 394061824000 402357862400 408644704000 409824296960 418452176896 466146304000 477799961600 484792156160 485265586000 496911960064 502947328000 512280371200 523065221120 539242496000 550594969600 588061491200 597249952000 605990195200 611583950848 621139950080 637884416000 640350464000 653831526400 688243712000 735076864000 757487744000 764479938560 776424937600 788123648000 804715724800 817289408000 932292608000 955599923200 969584312320 970531172000 993823920128 1005894656000 1024560742400 1046130442240 1176122982400 1194499904000 1211980390400 1242279900160 1275768832000 1280700928000 1307663052800 1376487424000 1470153728000 1514975488000 1528959877120 1552849875200 1634578816000 1864585216000 1911199846400 1941062344000 1987647840256 2011789312000 2049121484800 2092260884480 2388999808000 2423960780800 2484559800320 2561401856000 2615326105600 2752974848000 2940307456000 3029950976000 3057919754240 3105699750400 3269157632000 3822399692800 3882124688000 3975295680512 4023578624000 4777999616000 4847921561600 4969119600640 5122803712000 5230652211200 5880614912000 6059901952000 6211399500800 6538315264000 7644799385600 7764249376000 7950591361024 9555999232000 9938239201280 10245607424000 10461304422400 12119803904000 12422799001600 13076630528000 15289598771200 15528498752000 19111998464000 19876478402560 24239607808000 24845598003200 26153261056000 31056997504000 38223996928000 39752956805120 49691196006400 52306522112000 62113995008000 76447993856000 99382392012800 124227990016000 198764784025600 248455980032000 496911960064000 993823920128000
- Sum of all divisors σ(n): 2933927201303280
- Sum of proper divisors (its aliquot sum) s(n): 1940103281175280
- 993823920128000 is an abundant number, because the sum of its proper divisors (1940103281175280) is greater than itself. Its abundance is 946279361047280
Bases of 993823920128000
- Binary: 111000011111100000101010011011101010000000000000002
- Hexadecimal: 0x387E0A9BA8000
- Base-36: 9SA4EM9R7K
Squares and roots of 993823920128000
- 993823920128000 squared (9938239201280002) is 987685984218585323536384000000
- 993823920128000 cubed (9938239201280003) is 981585956691596409071376330917937152000000000
-
The
square root of 993823920128000 is 31524972.9599884035 -
The
cube root of 993823920128000 is 99793.7053889135
Scales and comparisons
How big is 993823920128000?- 993,823,920,128,000 seconds is equal to 31,600,526 years, 29 weeks, 1 day, 3 hours, 33 minutes, 20 seconds.
-
To count from 1 to 993,823,920,128,000 would take you about seventy-nine million, one thousand, three hundred sixteen 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 993823920128000 cubic inches would be around 8316.1 feet tall.
Recreational maths with 993823920128000
- 993823920128000 backwards is 000821029328399
- The number of decimal digits it has is: 15
- The sum of 993823920128000's digits is 56
- More coming soon!
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The information we have on file for 993823920128000 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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