29968345680000
29,968,345,680,000 is an even composite number composed of seven prime numbers multiplied together.
29968345680000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 29968345680000:
27 × 3 × 54 × 7 × 13 × 433 × 3169
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 7 × 13 × 433 × 3169)See below for interesting mathematical facts about the number 29968345680000 from the Numbermatics database.
Names of 29968345680000
- Cardinal: 29968345680000 can be written as Twenty-nine trillion, nine hundred sixty-eight billion, three hundred forty-five million, six hundred eighty thousand.
Scientific notation
- Scientific notation: 2.996834568 × 1013
Factors of 29968345680000
Divisors of 29968345680000
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 48 50 52 56 60 64 65 70 75 78 80 84 91 96 100 104 105 112 120 125 128 130 140 150 156 160 168 175 182 192 195 200 208 210 224 240 250 260 273 280 300 312 320 325 336 350 364 375 384 390 400 416 420 433 448 455 480 500 520 525 546 560 600 624 625 640 650 672 700 728 750 780 800 832 840 866 875 896 910 960 975 1000 1040 1050 1092 1120 1200 1248 1250 1299 1300 1344 1365 1400 1456 1500 1560 1600 1625 1664 1680 1732 1750 1820 1875 1920 1950 2000 2080 2100 2165 2184 2240 2275 2400 2496 2500 2598 2600 2625 2688 2730 2800 2912 3000 3031 3120 3169 3200 3250 3360 3464 3500 3640 3750 3900 4000 4160 4200 4330 4368 4375 4480 4550 4800 4875 4992 5000 5196 5200 5250 5460 5600 5629 5824 6000 6062 6240 6338 6495 6500 6720 6825 6928 7000 7280 7500 7800 8000 8125 8320 8400 8660 8736 8750 9093 9100 9507 9600 9750 10000 10392 10400 10500 10825 10920 11200 11258 11375 11648 12000 12124 12480 12676 12990 13000 13125 13440 13650 13856 14000 14560 15000 15155 15600 15845 16000 16250 16800 16887 17320 17472 17500 18186 18200 19014 19500 20000 20784 20800 21000 21650 21840 22183 22400 22516 22750 24000 24248 24375 24960 25352 25980 26000 26250 27300 27712 28000 28145 29120 30000 30310 31200 31690 32475 32500 33600 33774 34125 34640 34944 35000 36372 36400 38028 39000 39403 40000 41197 41568 41600 42000 43300 43680 44366 45032 45465 45500 47535 48000 48496 48750 50704 51960 52000 52500 54125 54600 55424 56000 56290 56875 58240 60000 60620 62400 63380 64950 65000 66549 67200 67548 68250 69280 70000 72744 72800 75775 76056 78000 78806 79225 80000 82394 83136 84000 84435 86600 87360 88732 90064 90930 91000 95070 96992 97500 101408 103920 104000 105000 108250 109200 110915 112000 112580 113750 118209 120000 121240 123591 124800 126760 129900 130000 133098 135096 136500 138560 140000 140725 145488 145600 151550 152112 156000 157612 158450 162375 164788 166272 168000 168870 170625 173200 174720 177464 180128 181860 182000 190140 193984 195000 197015 202816 205985 207840 208000 210000 216500 218400 221830 225160 227325 227500 236418 237675 240000 242480 247182 253520 259800 260000 266196 270192 270625 273000 277120 280000 281450 288379 290976 291200 303100 304224 312000 315224 316900 324750 329576 332745 336000 337740 341250 346400 354928 360256 363720 364000 378875 380280 387968 390000 394030 396125 405632 411970 415680 420000 422175 433000 436800 443660 450320 454650 455000 472836 475350 484960 494364 507040 519600 520000 532392 540384 541250 546000 554575 560000 562900 576758 581952 591045 606200 608448 617955 624000 630448 633800 649500 659152 665490 675480 682500 692800 703625 709856 720512 727440 728000 757750 760560 780000 788060 792250 811875 823940 831360 840000 844350 865137 866000 873600 887320 900640 909300 910000 945672 950700 969920 985075 988728 1014080 1029925 1039200 1040000 1064784 1080768 1082500 1092000 1109150 1125800 1136625 1153516 1163904 1182090 1188375 1212400 1216896 1235910 1260896 1267600 1299000 1318304 1330980 1350960 1365000 1372177 1385600 1407250 1419712 1441895 1454880 1456000 1515500 1521120 1560000 1576120 1584500 1623750 1647880 1663725 1680000 1688700 1730274 1732000 1774640 1801280 1818600 1820000 1891344 1894375 1901400 1939840 1970150 1977456 1980625 2028160 2059850 2078400 2110875 2129568 2161536 2165000 2184000 2218300 2251600 2273250 2307032 2364180 2376750 2424800 2471820 2521792 2535200 2598000 2636608 2661960 2701920 2730000 2744354 2772875 2814500 2839424 2883790 2909760 2955225 3031000 3042240 3089775 3120000 3152240 3169000 3247500 3295760 3327450 3377400 3460548 3464000 3518125 3549280 3602560 3637200 3640000 3782688 3788750 3802800 3940300 3954912 3961250 4116531 4119700 4156800 4221750 4259136 4325685 4330000 4368000 4436600 4503200 4546500 4614064 4728360 4753500 4849600 4925375 4943640 5043584 5070400 5149625 5196000 5273216 5323920 5403840 5460000 5488708 5545750 5629000 5683125 5767580 5819520 5910450 5941875 6062000 6084480 6179550 6304480 6338000 6495000 6591520 6654900 6754800 6860885 6921096 6928000 7036250 7098560 7209475 7274400 7280000 7565376 7577500 7605600 7880600 7909824 7922500 8233062 8239400 8318625 8443500 8518272 8651370 8660000 8873200 9006400 9093000 9228128 9456720 9507000 9605239 9699200 9850750 9887280 10140800 10299250 10392000 10554375 10647840 10807680 10920000 10977416 11091500 11258000 11366250 11535160 11820900 11883750 12124000 12359100 12608960 12676000 12990000 13183040 13309800 13509600 13721770 13842192 13864375 14072500 14197120 14418950 14548800 14776125 15130752 15155000 15211200 15448875 15761200 15819648 15845000 16466124 16478800 16637250 16887000 17302740 17320000 17746400 17838301 18012800 18186000 18456256 18913440 19014000 19210478 19701500 19774560 20582655 20598500 20784000 21108750 21295680 21628425 21840000 21954832 22183000 22516000 22732500 23070320 23641800 23767500 24248000 24626875 24718200 25217920 25352000 25748125 25980000 26366080 26619600 27019200 27443540 27684384 27728750 28145000 28815717 28837900 29097600 29552250 30310000 30422400 30897750 31522400 31690000 32932248 32957600 33274500 33774000 34304425 34605480 34640000 35492800 35676602 36047375 36372000 36912512 37826880 38028000 38420956 39403000 39549120 41165310 41197000 41593125 42217500 42591360 43256850 43909664 44366000 45032000 45465000 46140640 47283600 47535000 48026195 48496000 49253750 49436400 50704000 51496250 51960000 53239200 53514903 54038400 54887080 55368768 55457500 56290000 57631434 57675800 59104500 60620000 61795500 63044800 63380000 65864496 65915200 66549000 67548000 68608850 69210960 70985600 71353204 72094750 72744000 73880625 75653760 76056000 76841912 77244375 78806000 79098240 82330620 82394000 83186250 84435000 86513700 87819328 88732000 89191505 90064000 90930000 92281280 94567200 95070000 96052390 98507500 98872800 102913275 102992500 103920000 106478400 107029806 108142125 109774160 110737536 110915000 112580000 115262868 115351600 118209000 121240000 123591000 124868107 126089600 126760000 131728992 131830400 133098000 135096000 137217700 138421920 142706408 144078585 144189500 145488000 147761250 152112000 153683824 154488750 157612000 164661240 164788000 166372500 168870000 171522125 173027400 175638656 177464000 178383010 180236875 181860000 184562560 189134400 190140000 192104780 197015000 197745600 205826550 205985000 212956800 214059612 216284250 219548320 221830000 225160000 230525736 230703200 236418000 240130975 242480000 247182000 249736214 253520000 263457984 266196000 267574515 270192000 274435400 276843840 285412816 288157170 288379000 295522500 307367648 308977500 315224000 329322480 329576000 332745000 337740000 343044250 346054800 354928000 356766020 360473750 363720000 374604321 378268800 380280000 384209560 394030000 395491200 411653100 411970000 428119224 432568500 439096640 443660000 445957525 450320000 461051472 461406400 472836000 480261950 494364000 499472428 514566375 526915968 532392000 535149030 540710625 548870800 553687680 570825632 576314340 576758000 591045000 614735296 617955000 624340535 630448000 658644960 659152000 665490000 675480000 686088500 692109600 713532040 720392925 720947500 727440000 749208642 760560000 768419120 788060000 823306200 823940000 856238448 857610625 865137000 878193280 887320000 891915050 922102944 922812800 945672000 960523900 988728000 998944856 1029132750 1064784000 1070298060 1081421250 1097741600 1141651264 1152628680 1153516000 1182090000 1200654875 1229470592 1235910000 1248681070 1317289920 1330980000 1337872575 1350960000 1372177000 1384219200 1427064080 1440785850 1441895000 1498417284 1536838240 1576120000 1646612400 1647880000 1712476896 1715221250 1730274000 1774640000 1783830100 1844205888 1873021605 1891344000 1921047800 1977456000 1997889712 2058265500 2140596120 2162842500 2195483200 2229787625 2283302528 2305257360 2307032000 2364180000 2401309750 2471820000 2497362140 2572831875 2634579840 2661960000 2675745150 2744354000 2768438400 2854128160 2881571700 2883790000 2996834568 3073676480 3121702675 3152240000 3293224800 3295760000 3424953792 3430442500 3460548000 3567660200 3601964625 3688411776 3746043210 3842095600 3995779424 4116531000 4281192240 4325685000 4390966400 4459575250 4610514720 4614064000 4728360000 4802619500 4943640000 4994724280 5145663750 5323920000 5351490300 5488708000 5708256320 5763143400 5767580000 5993669136 6003274375 6147352960 6243405350 6586449600 6689362875 6849907584 6860885000 6921096000 7135320400 7203929250 7492086420 7684191200 7991558848 8233062000 8562384480 8651370000 8919150500 9221029440 9365108025 9456720000 9605239000 9887280000 9989448560 10291327500 10702980600 10977416000 11148938125 11416512640 11526286800 11535160000 11987338272 12006548750 12486810700 13172899200 13378725750 13721770000 13842192000 14270640800 14407858500 14984172840 15368382400 15608513375 15983117696 16466124000 17124768960 17302740000 17838301000 18009823125 18442058880 18730216050 19210478000 19978897120 20582655000 21405961200 21954832000 22297876250 23052573600 23070320000 23974676544 24013097500 24973621400 26757451500 27443540000 28541281600 28815717000 29968345680 30736764800 31217026750 32932248000 33446814375 34249537920 34605480000 35676602000 36019646250 37460432100 38420956000 39957794240 41165310000 42811922400 44595752500 46105147200 46825540125 47949353088 48026195000 49947242800 53514903000 54887080000 57082563200 57631434000 59936691360 62434053500 65864496000 66893628750 69210960000 71353204000 72039292500 74920864200 76841912000 78042566875 79915588480 82330620000 85623844800 89191505000 92210294400 93651080250 96052390000 99894485600 107029806000 109774160000 115262868000 119873382720 124868107000 133787257500 142706408000 144078585000 149841728400 153683824000 156085133750 164661240000 171247689600 178383010000 187302160500 192104780000 199788971200 214059612000 230525736000 234127700625 239746765440 249736214000 267574515000 285412816000 288157170000 299683456800 312170267500 329322480000 356766020000 374604321000 384209560000 399577942400 428119224000 461051472000 468255401250 499472428000 535149030000 576314340000 599366913600 624340535000 713532040000 749208642000 768419120000 856238448000 936510802500 998944856000 1070298060000 1152628680000 1198733827200 1248681070000 1427064080000 1498417284000 1873021605000 1997889712000 2140596120000 2305257360000 2497362140000 2996834568000 3746043210000 4281192240000 4994724280000 5993669136000 7492086420000 9989448560000 14984172840000 29968345680000
- Sum of all divisors σ(n): 122749072723200
- Sum of proper divisors (its aliquot sum) s(n): 92780727043200
- 29968345680000 is an abundant number, because the sum of its proper divisors (92780727043200) is greater than itself. Its abundance is 62812381363200
Bases of 29968345680000
- Binary: 1101101000001100011001001100101001000100000002
- Hexadecimal: 0x1B418C994880
- Base-36: AMF9N9AIO
Squares and roots of 29968345680000
- 29968345680000 squared (299683456800002) is 898101742795974662400000000
- 29968345680000 cubed (299683456800003) is 26914623483920218395324498432000000000000
-
The
square root of 29968345680000 is 5474335.1815540123 -
The
cube root of 29968345680000 is 31061.3926210867
Scales and comparisons
How big is 29968345680000?- 29,968,345,680,000 seconds is equal to 952,900 years, 36 weeks, 18 hours, 40 minutes.
-
To count from 1 to 29,968,345,680,000 would take you about two million, three hundred eighty-two thousand, two hundred fifty-one 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 29968345680000 cubic inches would be around 2588.4 feet tall.
Recreational maths with 29968345680000
- 29968345680000 backwards is 00008654386992
- 29968345680000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 29968345680000's digits is 60
- More coming soon!
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The information we have on file for 29968345680000 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!
Keywords: Divisors of 29968345680000, math, Factors of 29968345680000, curriculum, school, college, exams, university, Prime factorization of 29968345680000, STEM, science, technology, engineering, physics, economics, calculator, twenty-nine trillion, nine hundred sixty-eight billion, three hundred forty-five million, six hundred eighty thousand.