31897041072000
31,897,041,072,000 is an even composite number composed of six prime numbers multiplied together.
31897041072000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 31897041072000:
27 × 3 × 53 × 132 × 29 × 135589
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 13 × 29 × 135589)See below for interesting mathematical facts about the number 31897041072000 from the Numbermatics database.
Names of 31897041072000
- Cardinal: 31897041072000 can be written as Thirty-one trillion, eight hundred ninety-seven billion, forty-one million, seventy-two thousand.
Scientific notation
- Scientific notation: 3.1897041072 × 1013
Factors of 31897041072000
Divisors of 31897041072000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 29 30 32 39 40 48 50 52 58 60 64 65 75 78 80 87 96 100 104 116 120 125 128 130 145 150 156 160 169 174 192 195 200 208 232 240 250 260 290 300 312 320 325 338 348 375 377 384 390 400 416 435 464 480 500 507 520 580 600 624 640 650 676 696 725 750 754 780 800 832 845 870 928 960 975 1000 1014 1040 1131 1160 1200 1248 1300 1352 1392 1450 1500 1508 1560 1600 1625 1664 1690 1740 1856 1885 1920 1950 2000 2028 2080 2175 2262 2320 2400 2496 2535 2600 2704 2784 2900 3000 3016 3120 3200 3250 3380 3480 3625 3712 3770 3900 4000 4056 4160 4225 4350 4524 4640 4800 4875 4901 4992 5070 5200 5408 5568 5655 5800 6000 6032 6240 6500 6760 6960 7250 7540 7800 8000 8112 8320 8450 8700 9048 9280 9425 9600 9750 9802 10140 10400 10816 10875 11136 11310 11600 12000 12064 12480 12675 13000 13520 13920 14500 14703 15080 15600 16000 16224 16900 17400 18096 18560 18850 19500 19604 20280 20800 21125 21632 21750 22620 23200 24000 24128 24505 24960 25350 26000 27040 27840 28275 29000 29406 30160 31200 32448 33800 34800 36192 37700 39000 39208 40560 41600 42250 43500 45240 46400 47125 48000 48256 49010 50700 52000 54080 55680 56550 58000 58812 60320 62400 63375 64896 67600 69600 72384 73515 75400 78000 78416 81120 84500 87000 90480 92800 94250 98020 101400 104000 108160 113100 116000 117624 120640 122525 124800 126750 135200 135589 139200 141375 144768 147030 150800 156000 156832 162240 169000 174000 180960 188500 196040 202800 208000 226200 232000 235248 241280 245050 253500 270400 271178 278400 282750 294060 301600 312000 313664 324480 338000 348000 361920 367575 377000 392080 405600 406767 452400 464000 470496 490100 507000 540800 542356 565500 588120 603200 612625 624000 627328 676000 677945 696000 723840 735150 754000 784160 811200 813534 904800 940992 980200 1014000 1084712 1131000 1176240 1206400 1225250 1352000 1355890 1392000 1470300 1508000 1568320 1622400 1627068 1762657 1809600 1837875 1881984 1960400 2028000 2033835 2169424 2262000 2352480 2450500 2704000 2711780 2940600 3016000 3136640 3254136 3389725 3525314 3619200 3675750 3920800 3932081 4056000 4067670 4338848 4524000 4704960 4901000 5287971 5423560 5881200 6032000 6508272 6779450 7050628 7351500 7841600 7864162 8112000 8135340 8677696 8813285 9048000 9409920 9802000 10169175 10575942 10847120 11762400 11796243 13016544 13558900 14101256 14703000 15683200 15728324 16270680 16948625 17355392 17626570 18096000 19604000 19660405 20338350 21151884 21694240 22914541 23524800 23592486 26033088 26439855 27117800 28202512 29406000 31456648 32541360 33897250 35253140 39208000 39320810 40676700 42303768 43388480 44066425 45829082 47049600 47184972 50845875 51117053 52066176 52879710 54235600 56405024 58812000 58981215 62913296 65082720 67794500 68743623 70506280 78416000 78641620 81353400 84607536 86776960 88132850 91658164 94369944 98302025 101691750 102234106 105759420 108471200 112810048 114572705 117624000 117962430 125826592 130165440 132199275 135589000 137487246 141012560 153351159 157283240 162706800 169215072 176265700 183316328 188739888 196604050 203383500 204468212 211518840 216942400 220332125 225620096 229145410 235248000 235924860 251653184 255585265 260330880 264398550 271178000 274974492 282025120 294906075 306702318 314566480 325413600 338430144 343718115 352531400 366632656 377479776 393208100 406767000 408936424 423037680 433884800 440664250 458290820 471849720 491510125 503306368 511170530 528797100 542356000 549948984 564050240 572863525 589812150 613404636 629132960 650827200 660996375 664521689 676860288 687436230 705062800 733265312 754959552 766755795 786416200 813534000 817872848 846075360 881328500 916581640 943699440 983020250 1022341060 1057594200 1084712000 1099897968 1128100480 1145727050 1179624300 1226809272 1258265920 1277926325 1301654400 1321992750 1329043378 1374872460 1410125600 1466530624 1474530375 1509919104 1533511590 1572832400 1627068000 1635745696 1692150720 1718590575 1762657000 1833163280 1887398880 1966040500 1993565067 2044682120 2115188400 2169424000 2199795936 2291454100 2359248600 2453618544 2516531840 2555852650 2643985500 2658086756 2749744920 2820251200 2864317625 2933061248 2949060750 3067023180 3145664800 3254136000 3271491392 3322608445 3384301440 3437181150 3525314000 3666326560 3774797760 3833778975 3932081000 3987130134 4089364240 4230376800 4399591872 4582908200 4718497200 4907237088 5111705300 5287971000 5316173512 5499489840 5640502400 5728635250 5898121500 6134046360 6291329600 6389631625 6508272000 6542982784 6645216890 6874362300 7050628000 7332653120 7549595520 7667557950 7864162000 7974260268 8178728480 8460753600 8592952875 8799183744 9165816400 9436994400 9814474176 9967825335 10223410600 10575942000 10632347024 10998979680 11457270500 11796243000 12268092720 12582659200 12779263250 13290433780 13748724600 14101256000 14665306240 15335115900 15728324000 15948520536 16357456960 16613042225 16921507200 17185905750 18331632800 18873988800 19168894875 19628948352 19935650670 20446821200 21151884000 21264694048 21997959360 22914541000 23592486000 24536185440 25558526500 26580867560 27497449200 28202512000 30670231800 31456648000 31897041072 32714913920 33226084450 34371811500 36663265600 37747977600 38337789750 39871301340 40893642400 42303768000 42529388096 43995918720 45829082000 47184972000 49072370880 49839126675 51117053000 53161735120 54994898400 61340463600 62913296000 63794082144 66452168900 68743623000 73326531200 76675579500 79742602680 81787284800 83065211125 84607536000 85058776192 91658164000 94369944000 98144741760 99678253350 102234106000 106323470240 109989796800 122680927200 127588164288 132904337800 137487246000 153351159000 159485205360 163574569600 166130422250 183316328000 188739888000 199356506700 204468212000 212646940480 219979593600 245361854400 249195633375 255176328576 265808675600 274974492000 306702318000 318970410720 332260844500 366632656000 398713013400 408936424000 425293880960 490723708800 498391266750 531617351200 549948984000 613404636000 637940821440 664521689000 797426026800 817872848000 996782533500 1063234702400 1099897968000 1226809272000 1275881642880 1329043378000 1594852053600 1993565067000 2126469404800 2453618544000 2658086756000 3189704107200 3987130134000 5316173512000 6379408214400 7974260268000 10632347024000 15948520536000 31897041072000
- Sum of all divisors σ(n): 118447193592000
- Sum of proper divisors (its aliquot sum) s(n): 86550152520000
- 31897041072000 is an abundant number, because the sum of its proper divisors (86550152520000) is greater than itself. Its abundance is 54653111448000
Bases of 31897041072000
- Binary: 1110100000010100110111100110101101111100000002
- Hexadecimal: 0x1D029BCD6F80
- Base-36: BB1AQP3EO
Squares and roots of 31897041072000
- 31897041072000 squared (318970410720002) is 1017421229148854909184000000
- 31897041072000 cubed (318970410720003) is 32452726733685748640010878005248000000000
-
The
square root of 31897041072000 is 5647746.5481375845 -
The
cube root of 31897041072000 is 31713.9350583047
Scales and comparisons
How big is 31897041072000?- 31,897,041,072,000 seconds is equal to 1,014,227 years, 12 weeks, 4 days, 2 hours, 40 minutes.
-
To count from 1 to 31,897,041,072,000 would take you about two million, five hundred thirty-five thousand, five hundred sixty-eight 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 31897041072000 cubic inches would be around 2642.8 feet tall.
Recreational maths with 31897041072000
- 31897041072000 backwards is 00027014079813
- The number of decimal digits it has is: 14
- The sum of 31897041072000's digits is 42
- More coming soon!
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The information we have on file for 31897041072000 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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