27968292352000
27,968,292,352,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 27968292352000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2080 divisors.
27968292352000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand and eighty divisors.
Prime factorization of 27968292352000:
212 × 53 × 7 × 114 × 13 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 11 × 11 × 11 × 11 × 13 × 41)See below for interesting mathematical facts about the number 27968292352000 from the Numbermatics database.
Names of 27968292352000
- Cardinal: 27968292352000 can be written as Twenty-seven trillion, nine hundred sixty-eight billion, two hundred ninety-two million, three hundred fifty-two thousand.
Scientific notation
- Scientific notation: 2.7968292352 × 1013
Factors of 27968292352000
Divisors of 27968292352000
- Number of divisors d(n): 2080
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 32 35 40 41 44 50 52 55 56 64 65 70 77 80 82 88 91 100 104 110 112 121 125 128 130 140 143 154 160 164 175 176 182 200 205 208 220 224 242 250 256 260 275 280 286 287 308 320 325 328 350 352 364 385 400 410 416 440 448 451 455 484 500 512 520 533 550 560 572 574 605 616 640 650 656 700 704 715 728 770 800 820 832 847 875 880 896 902 910 968 1000 1001 1024 1025 1040 1066 1100 1120 1144 1148 1210 1232 1280 1300 1312 1331 1375 1400 1408 1430 1435 1456 1540 1573 1600 1625 1640 1664 1694 1750 1760 1792 1804 1820 1925 1936 2000 2002 2048 2050 2080 2132 2200 2240 2255 2275 2288 2296 2420 2464 2560 2600 2624 2662 2665 2750 2800 2816 2860 2870 2912 3025 3080 3146 3157 3200 3250 3280 3328 3388 3500 3520 3575 3584 3608 3640 3731 3850 3872 4000 4004 4096 4100 4160 4235 4264 4400 4480 4510 4550 4576 4592 4840 4928 4961 5005 5120 5125 5200 5248 5324 5330 5500 5600 5632 5720 5740 5824 5863 6050 6160 6292 6314 6400 6500 6560 6655 6656 6776 7000 7040 7150 7168 7175 7216 7280 7462 7700 7744 7865 8000 8008 8200 8320 8470 8528 8800 8960 9020 9100 9152 9184 9317 9625 9680 9856 9922 10010 10240 10250 10400 10496 10648 10660 11000 11011 11200 11264 11275 11375 11440 11480 11648 11726 12100 12320 12584 12628 12800 13000 13120 13310 13312 13325 13552 14000 14080 14300 14336 14350 14432 14560 14641 14924 15125 15400 15488 15730 15785 16000 16016 16400 16640 16940 17056 17303 17600 17875 17920 18040 18200 18304 18368 18634 18655 19250 19360 19712 19844 20020 20480 20500 20800 20992 21175 21296 21320 22000 22022 22400 22528 22550 22750 22880 22960 23296 23452 24200 24640 24805 25025 25168 25256 25600 26000 26240 26620 26624 26650 27104 28000 28160 28600 28672 28700 28864 29120 29282 29315 29848 30250 30800 30976 31460 31570 32000 32032 32800 33275 33280 33880 34112 34606 34727 35200 35750 35840 35875 36080 36400 36608 36736 37268 37310 38500 38720 39325 39424 39688 40040 41000 41041 41600 41984 42350 42592 42640 44000 44044 44800 45056 45100 45500 45760 45920 46585 46592 46904 48400 49280 49610 50050 50336 50512 51200 52000 52480 53240 53248 53300 54208 54571 55055 56000 56320 56375 57200 57400 57728 58240 58564 58630 59696 60500 61600 61952 62920 63140 64000 64064 64493 65600 66550 66560 66625 67760 68224 69212 69454 70400 71500 71680 71750 72160 72800 73205 73216 73472 74536 74620 77000 77440 78650 78848 78925 79376 80080 82000 82082 83200 83968 84700 85184 85280 86515 88000 88088 89600 90200 91000 91520 91840 93170 93184 93275 93808 96800 98560 99220 100100 100672 101024 102400 102487 104000 104960 105875 106480 106600 108416 109142 110110 112000 112640 112750 114400 114800 115456 116480 117128 117260 119392 121000 121121 123200 123904 124025 125125 125840 126280 128000 128128 128986 131200 133100 133120 133250 135520 136448 138424 138908 140800 143000 143360 143500 144320 145600 146410 146432 146575 146944 149072 149240 154000 154880 157300 157696 157850 158752 160160 164000 164164 166375 166400 167936 169400 170368 170560 173030 173635 176000 176176 179200 180400 182000 183040 183680 186340 186368 186550 187616 190333 193600 196625 197120 198440 200200 201344 202048 204974 205205 208000 209920 211750 212960 213200 216832 218284 220220 224000 225280 225500 228800 229600 230912 232925 232960 234256 234520 238784 242000 242242 246400 247808 248050 250250 251680 252560 256000 256256 257972 262400 266200 266240 266500 271040 272855 272896 275275 276848 277816 281600 286000 287000 288640 291200 292820 292864 293150 293888 298144 298480 308000 309760 314600 315392 315700 317504 320320 322465 328000 328328 332750 332800 338800 340736 341120 346060 347270 352000 352352 358400 360800 364000 366025 366080 367360 372680 372736 373100 375232 380666 381997 387200 393250 394240 394625 396880 400400 402688 404096 409948 410410 416000 419840 423500 425920 426400 432575 433664 436568 440440 448000 451000 451451 457600 459200 461824 465850 465920 466375 468512 469040 477568 484000 484484 492800 495616 496100 500500 503360 505120 512000 512435 512512 515944 524800 532400 533000 542080 545710 545792 550550 553696 555632 563200 572000 574000 577280 582400 585640 585728 586300 587776 596288 596960 600281 605605 616000 619520 620125 629200 631400 635008 640640 644930 656000 656656 665500 665600 677600 681472 682240 692120 694540 704000 704704 709423 716800 721600 728000 732050 732160 732875 734720 745360 746200 750464 761332 763994 774400 786500 788480 789250 793760 800800 805376 808192 819896 820820 832000 839680 847000 851840 852800 865150 867328 868175 873136 880880 896000 902000 902902 915200 918400 923648 931700 931840 932750 937024 938080 951665 955136 968000 968968 985600 992200 1001000 1006720 1010240 1024870 1025024 1026025 1031888 1049600 1064800 1066000 1084160 1091420 1091584 1101100 1107392 1111264 1126400 1144000 1148000 1154560 1164625 1164800 1171280 1172600 1175552 1192576 1193920 1200562 1211210 1232000 1239040 1240250 1258400 1262800 1270016 1281280 1289860 1312000 1313312 1331000 1331200 1332331 1355200 1362944 1364275 1364480 1376375 1384240 1389080 1408000 1409408 1418846 1443200 1456000 1464100 1464320 1465750 1469440 1490720 1492400 1500928 1522664 1527988 1548800 1573000 1576960 1578500 1587520 1601600 1610752 1612325 1616384 1639792 1641640 1664000 1694000 1703680 1705600 1730300 1734656 1736350 1746272 1761760 1792000 1804000 1805804 1830125 1830400 1836800 1847296 1863400 1863680 1865500 1874048 1876160 1903330 1909985 1910272 1936000 1937936 1971200 1984400 2002000 2013440 2020480 2049740 2050048 2052050 2063776 2099200 2129600 2132000 2162875 2168320 2182840 2183168 2202200 2214784 2222528 2257255 2288000 2296000 2309120 2329250 2329600 2342560 2345200 2385152 2387840 2401124 2422420 2464000 2478080 2480500 2516800 2525600 2540032 2562175 2562560 2579720 2624000 2626624 2662000 2664662 2710400 2725888 2728550 2728960 2752750 2768480 2778160 2816000 2818816 2837692 2886400 2912000 2928200 2928640 2931500 2938880 2981440 2984800 3001405 3001856 3028025 3045328 3055976 3097600 3146000 3157000 3175040 3203200 3221504 3224650 3232768 3279584 3283280 3328000 3388000 3407360 3411200 3460600 3469312 3472700 3492544 3523520 3547115 3584000 3608000 3611608 3660250 3660800 3673600 3726800 3731000 3748096 3752320 3806660 3819970 3820544 3872000 3875872 3942400 3968800 4004000 4026880 4040960 4099480 4100096 4104100 4127552 4198400 4201967 4259200 4264000 4325750 4336640 4340875 4365680 4404400 4429568 4445056 4514510 4576000 4592000 4618240 4658500 4659200 4685120 4690400 4758325 4770304 4775680 4802248 4844840 4928000 4961000 4965961 5033600 5051200 5080064 5124350 5125120 5130125 5159440 5248000 5253248 5324000 5329324 5420800 5451776 5457100 5457920 5505500 5536960 5556320 5632000 5637632 5675384 5772800 5824000 5856400 5863000 5877760 5962880 5969600 6002810 6003712 6056050 6090656 6111952 6195200 6292000 6314000 6350080 6406400 6443008 6449300 6465536 6559168 6566560 6656000 6661655 6776000 6814720 6821375 6822400 6921200 6945400 6985088 7047040 7094230 7216000 7223216 7320500 7321600 7347200 7453600 7462000 7496192 7504640 7613320 7639940 7641088 7744000 7751744 7803653 7884800 7937600 8008000 8053760 8061625 8081920 8198960 8208200 8255104 8403934 8518400 8528000 8651500 8673280 8681750 8731360 8808800 8859136 8890112 9029020 9152000 9184000 9236480 9317000 9318400 9370240 9380800 9516650 9540608 9549925 9551360 9604496 9689680 9856000 9922000 9931922 10067200 10102400 10160128 10248700 10250240 10260250 10318880 10496000 10506496 10648000 10658648 10841600 10914200 10915840 11011000 11073920 11112640 11275264 11286275 11350768 11545600 11648000 11712800 11726000 11925760 11939200 12005620 12007424 12112100 12181312 12223904 12390400 12584000 12628000 12700160 12810875 12812800 12898600 12931072 13118336 13133120 13323310 13552000 13629440 13642750 13644800 13842400 13890800 13970176 14094080 14188460 14432000 14446432 14641000 14643200 14694400 14907200 14924000 14992384 15007025 15009280 15140125 15226640 15279880 15282176 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960449600 968968000 974504960 975456625 977912320 993192200 998867584 1031888000 1049466880 1050491750 1050649600 1065864800 1075703552 1092511420 1107392000 1111264000 1117614080 1127526400 1135076800 1155714560 1192576000 1200562000 1218131200 1222390400 1229375488 1240279040 1241490250 1248584480 1270016000 1271286016 1311833600 1313312000 1320816640 1332331000 1344629440 1364306944 1365639275 1397017600 1409408000 1418846000 1444643200 1452898304 1499238400 1500928000 1522664000 1527988000 1536719360 1550348800 1560730600 1564659712 1589107520 1616384000 1639792000 1651020800 1680786800 1705383680 1746272000 1748018272 1771827200 1778022400 1805804000 1816122880 1849143296 1874048000 1910272000 1920899200 1937936000 1949009920 1950913250 1955824640 1986384400 1997735168 2063776000 2098933760 2100983500 2101299200 2131729600 2151407104 2185022840 2214784000 2222528000 2270153600 2311429120 2385152000 2401124000 2436262400 2444780800 2458750976 2480558080 2482980500 2497168960 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46228582400 48725248000 48895616000 49943379200 50851440640 52473344000 53785177600 54625571000 55936584704 57785728000 61468774400 62013952000 62429224000 63564300800 67231472000 68215347200 69920730880 72644915200 76835968000 79455376000 79909406720 85269184000 86056284160 87400913600 90806144000 97450496000 97791232000 99886758400 101702881280 107570355200 109251142000 111873169408 115571456000 124858448000 127128601600 134462944000 136430694400 139841461760 153671936000 158910752000 159818813440 170538368000 174801827200 181612288000 195582464000 199773516800 215140710400 218502284000 223746338816 231142912000 249716896000 254257203200 268925888000 279682923520 307343872000 317821504000 341076736000 349603654400 363224576000 399547033600 430281420800 437004568000 499433792000 508514406400 537851776000 559365847040 635643008000 682153472000 699207308800 799094067200 874009136000 998867584000 1075703552000 1118731694080 1271286016000 1398414617600 1748018272000 1997735168000 2151407104000 2542572032000 2796829235200 3496036544000 3995470336000 5593658470400 6992073088000 13984146176000 27968292352000
- Sum of all divisors σ(n): 96803167144320
- Sum of proper divisors (its aliquot sum) s(n): 68834874792320
- 27968292352000 is an abundant number, because the sum of its proper divisors (68834874792320) is greater than itself. Its abundance is 40866582440320
Bases of 27968292352000
- Binary: 1100101101111111000000010000101110000000000002
- Hexadecimal: 0x196FE0217000
- Base-36: 9WWGF59TS
Squares and roots of 27968292352000
- 27968292352000 squared (279682923520002) is 782225377086941691904000000
- 27968292352000 cubed (279682923520003) is 21877508031521027360748583518208000000000
-
The
square root of 27968292352000 is 5288505.6823265303 -
The
cube root of 27968292352000 is 30354.4231162215
Scales and comparisons
How big is 27968292352000?- 27,968,292,352,000 seconds is equal to 889,305 years, 9 weeks, 4 days, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 27,968,292,352,000 would take you about two million, two hundred twenty-three thousand, two hundred sixty-two 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 27968292352000 cubic inches would be around 2529.5 feet tall.
Recreational maths with 27968292352000
- 27968292352000 backwards is 00025329286972
- 27968292352000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 27968292352000's digits is 55
- More coming soon!
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"Number 27968292352000 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 27968292352000 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/27968292352000/
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The information we have on file for 27968292352000 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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