32968316480000
32,968,316,480,000 is an even composite number composed of six prime numbers multiplied together.
32968316480000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred divisors.
Prime factorization of 32968316480000:
29 × 54 × 11 × 31 × 41 × 7369
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 11 × 31 × 41 × 7369)See below for interesting mathematical facts about the number 32968316480000 from the Numbermatics database.
Names of 32968316480000
- Cardinal: 32968316480000 can be written as Thirty-two trillion, nine hundred sixty-eight billion, three hundred sixteen million, four hundred eighty thousand.
Scientific notation
- Scientific notation: 3.296831648 × 1013
Factors of 32968316480000
Divisors of 32968316480000
- Number of divisors d(n): 800
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 31 32 40 41 44 50 55 62 64 80 82 88 100 110 124 125 128 155 160 164 176 200 205 220 248 250 256 275 310 320 328 341 352 400 410 440 451 496 500 512 550 620 625 640 656 682 704 775 800 820 880 902 992 1000 1025 1100 1240 1250 1271 1280 1312 1364 1375 1408 1550 1600 1640 1705 1760 1804 1984 2000 2050 2200 2255 2480 2500 2542 2560 2624 2728 2750 2816 3100 3200 3280 3410 3520 3608 3875 3968 4000 4100 4400 4510 4960 5000 5084 5125 5248 5456 5500 5632 6200 6355 6400 6560 6820 6875 7040 7216 7369 7750 7936 8000 8200 8525 8800 9020 9920 10000 10168 10250 10496 10912 11000 11275 12400 12710 12800 13120 13640 13750 13981 14080 14432 14738 15500 15872 16000 16400 17050 17600 18040 19375 19840 20000 20336 20500 20992 21824 22000 22550 24800 25420 25625 26240 27280 27500 27962 28160 28864 29476 31000 31775 32000 32800 34100 35200 36080 36845 38750 39680 40000 40672 41000 42625 43648 44000 45100 49600 50840 51250 52480 54560 55000 55924 56375 57728 58952 62000 63550 64000 65600 68200 69905 70400 72160 73690 77500 79360 80000 81059 81344 82000 85250 87296 88000 90200 99200 101680 102500 104960 109120 110000 111848 112750 115456 117904 124000 127100 131200 136400 139810 140800 144320 147380 155000 158875 160000 162118 162688 164000 170500 174592 176000 180400 184225 198400 203360 205000 213125 218240 220000 223696 225500 228439 230912 235808 248000 254200 262400 272800 279620 281875 288640 294760 302129 310000 317750 320000 324236 325376 328000 341000 349525 352000 360800 368450 396800 405295 406720 410000 426250 436480 440000 447392 451000 456878 471616 496000 508400 524800 545600 559240 563750 577280 589520 604258 620000 635500 648472 650752 656000 682000 699050 704000 721600 736900 794375 810590 813440 820000 852500 872960 880000 894784 902000 913756 921125 943232 992000 1016800 1091200 1118480 1127500 1142195 1154560 1179040 1208516 1240000 1271000 1296944 1312000 1364000 1398100 1443200 1473800 1510645 1588750 1621180 1626880 1640000 1705000 1747625 1760000 1789568 1804000 1827512 1842250 1886464 1984000 2026475 2033600 2182400 2236960 2255000 2284390 2358080 2417032 2480000 2512829 2542000 2593888 2624000 2728000 2796200 2886400 2947600 3021290 3177500 3242360 3253760 3280000 3323419 3410000 3495250 3520000 3579136 3608000 3655024 3684500 3772928 4052950 4067200 4364800 4473920 4510000 4568780 4605625 4716160 4834064 4960000 5025658 5084000 5187776 5456000 5592400 5710975 5772800 5895200 6042580 6355000 6484720 6560000 6646838 6820000 6990500 7158272 7216000 7310048 7369000 7553225 8105900 8134400 8738125 8947840 9020000 9137560 9211250 9365999 9432320 9668128 9920000 10051316 10132375 10168000 10375552 10912000 11184800 11421950 11790400 12085160 12564145 12710000 12969440 13120000 13293676 13640000 13981000 14432000 14620096 14738000 15106450 16211800 16268800 16617095 17476250 17895680 18040000 18275120 18422500 18731998 18864640 19336256 20102632 20264750 20336000 20751104 21824000 22369600 22843900 23580800 24170320 25128290 25420000 25938880 26587352 27280000 27962000 28554875 28864000 29240192 29476000 30212900 32423600 33234190 34952500 35791360 36080000 36550240 36845000 37463996 37766125 38672512 40205264 40529500 40672000 41502208 44739200 45687800 46829995 47161600 48340640 50256580 50661875 50840000 51877760 53174704 54560000 55924000 57109750 58480384 58952000 60425800 62820725 64847200 66468380 69905000 72160000 73100480 73690000 74927992 75532250 77345024 80410528 81059000 81344000 83085475 89478400 91375600 93659990 94323200 96681280 100513160 101323750 101680000 103025989 103755520 106349408 109120000 111848000 114219500 116960768 117904000 120851600 125641450 129694400 132936760 139810000 142774375 144320000 146200960 147380000 149855984 151064500 154690048 160821056 162118000 166170950 178956800 182751200 187319980 188830625 193362560 201026320 202647500 203360000 206051978 207511040 212698816 223696000 228439000 234149975 235808000 241703200 251282900 259388800 265873520 279620000 285548750 292401920 294760000 299711968 302129000 314103625 321642112 324236000 332341900 365502400 374639960 377661250 386725120 402052640 405295000 406720000 412103956 415427375 425397632 447392000 456878000 468299950 471616000 483406400 502565800 515129945 518777600 531747040 559240000 571097500 584803840 589520000 599423936 604258000 628207250 643284224 648472000 664683800 731004800 749279920 755322500 773450240 804105280 810590000 824207912 830854750 850795264 894784000 913756000 936599900 966812800 1005131600 1030259890 1037555200 1063494080 1118480000 1142195000 1170749875 1179040000 1198847872 1208516000 1256414500 1286568448 1296944000 1329367600 1462009600 1498559840 1510645000 1570518125 1608210560 1621180000 1648415824 1661709500 1701590528 1827512000 1873199800 1933625600 2010263200 2060519780 2077136875 2126988160 2236960000 2284390000 2341499750 2358080000 2397695744 2417032000 2512829000 2575649725 2593888000 2658735200 2924019200 2997119680 3021290000 3141036250 3216421120 3242360000 3296831648 3323419000 3655024000 3746399600 3867251200 4020526400 4121039560 4154273750 4253976320 4473920000 4568780000 4682999500 4795391488 4834064000 5025658000 5151299450 5187776000 5317470400 5853749375 5994239360 6042580000 6282072500 6432842240 6484720000 6593663296 6646838000 7310048000 7492799200 8041052800 8242079120 8308547500 8507952640 9137560000 9365999000 9668128000 10051316000 10302598900 10634940800 11707498750 11988478720 12085160000 12564145000 12878248625 12969440000 13187326592 13293676000 14620096000 14985598400 16082105600 16484158240 16617095000 18275120000 18731998000 19336256000 20102632000 20605197800 21269881600 23414997500 23976957440 24170320000 25128290000 25756497250 25938880000 26374653184 26587352000 29971196800 32164211200 32968316480 33234190000 36550240000 37463996000 40205264000 41210395600 42539763200 46829995000 48340640000 50256580000 51512994500 52749306368 53174704000 59942393600 64391243125 65936632960 66468380000 73100480000 74927992000 80410528000 82420791200 93659990000 96681280000 100513160000 103025989000 106349408000 119884787200 128782486250 131873265920 132936760000 149855984000 160821056000 164841582400 187319980000 201026320000 206051978000 212698816000 257564972500 263746531840 265873520000 299711968000 329683164800 374639960000 402052640000 412103956000 515129945000 531747040000 599423936000 659366329600 749279920000 804105280000 824207912000 1030259890000 1063494080000 1318732659200 1498559840000 1648415824000 2060519780000 2997119680000 3296831648000 4121039560000 6593663296000 8242079120000 16484158240000 32968316480000
- Sum of all divisors σ(n): 94967426695680
- Sum of proper divisors (its aliquot sum) s(n): 61999110215680
- 32968316480000 is an abundant number, because the sum of its proper divisors (61999110215680) is greater than itself. Its abundance is 29030793735680
Bases of 32968316480000
- Binary: 1110111111100000010001100101011101010000000002
- Hexadecimal: 0x1DFC08CAEA00
- Base-36: BOPFOEYGW
Squares and roots of 32968316480000
- 32968316480000 squared (329683164800002) is 1086909891525439590400000000
- 32968316480000 cubed (329683164800003) is 35833589289053162387428769792000000000000
-
The
square root of 32968316480000 is 5741804.2878523821 -
The
cube root of 32968316480000 is 32065.0747626471
Scales and comparisons
How big is 32968316480000?- 32,968,316,480,000 seconds is equal to 1,048,290 years, 25 weeks, 2 days, 53 minutes, 20 seconds.
-
To count from 1 to 32,968,316,480,000 would take you about two million, six hundred twenty thousand, seven hundred twenty-six 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 32968316480000 cubic inches would be around 2672.1 feet tall.
Recreational maths with 32968316480000
- 32968316480000 backwards is 00008461386923
- 32968316480000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 32968316480000's digits is 50
- More coming soon!
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