1989978144000

Names of 1989978144000

• Cardinal: 1989978144000 can be written as One trillion, nine hundred eighty-nine billion, nine hundred seventy-eight million, one hundred forty-four thousand.

Scientific notation

• Scientific notation: 1.989978144 × 10¹²

Factors of 1989978144000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 9340

Divisors of 1989978144000

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 29 30 32 33 35 40 42 44 48 50 55 56 58 60 64 66 70 75 77 80 84 87 88 96 100 105 110 112 116 120 125 128 132 140 145 150 154 160 165 168 174 175 176 192 200 203 210 220 224 231 232 240 250 256 264 275 280 290 300 308 319 320 330 336 348 350 352 375 384 385 400 406 420 435 440 448 462 464 480 500 525 528 550 560 580 600 609 616 638 640 660 672 696 700 704 725 750 768 770 800 812 825 840 870 875 880 896 924 928 957 960 1000 1015 1050 1056 1100 1120 1155 1160 1200 1218 1232 1276 1280 1320 1344 1375 1392 1400 1408 1450 1500 1540 1595 1600 1624 1650 1680 1740 1750 1760 1792 1848 1856 1914 1920 1925 2000 2030 2100 2112 2175 2200 2233 2240 2310 2320 2400 2436 2464 2552 2625 2640 2688 2750 2784 2800 2816 2900 3000 3045 3080 3190 3200 3248 3300 3360 3480 3500 3520 3625 3696 3712 3828 3840 3850 4000 4060 4125 4200 4224 4350 4400 4466 4480 4620 4640 4785 4800 4872 4928 5075 5104 5250 5280 5376 5500 5568 5600 5775 5800 6000 6090 6160 6380 6400 6496 6600 6699 6720 6960 7000 7040 7250 7392 7424 7656 7700 7975 8000 8120 8250 8400 8448 8700 8800 8932 8960 9240 9280 9283 9570 9600 9625 9744 9856 10150 10208 10500 10560 10875 11000 11136 11165 11200 11550 11600 12000 12180 12320 12760 12992 13200 13398 13440 13920 14000 14080 14500 14784 15225 15312 15400 15950 16000 16240 16500 16800 17400 17600 17864 18480 18560 18566 19140 19200 19250 19488 19712 20300 20416 21000 21120 21750 22000 22272 22330 22400 23100 23200 23925 24000 24360 24640 25375 25520 25984 26400 26796 26880 27840 27849 28000 28875 29000 29568 30450 30624 30800 31900 32000 32480 33000 33495 33600 34800 35200 35728 36960 37120 37132 38280 38500 38976 39875 40600 40832 42000 42240 43500 44000 44660 44800 46200 46400 46415 47850 48000 48720 49280 50750 51040 51968 52800 53592 55680 55698 55825 56000 57750 58000 59136 60900 61248 61600 63800 64960 64981 66000 66990 67200 69600 70400 71456 73920 74264 76125 76560 77000 77952 79750 81200 81664 84000 87000 88000 89320 92400 92800 92830 95700 96000 97440 98560 101500 102080 102113 105600 107184 111360 111396 111650 112000 115500 116000 119625 121800 122496 123200 127600 129920 129962 132000 133980 134400 139200 139245 142912 147840 148528 152250 153120 154000 155904 159500 162400 167475 168000 174000 176000 178640 184800 185600 185660 191400 194880 194943 203000 204160 204226 211200 214368 222792 223300 224000 231000 232000 232075 239250 243600 244992 246400 255200 259840 259924 264000 267960 269207 278400 278490 279125 285824 295680 297056 304500 306240 306339 308000 319000 324800 324905 334950 336000 348000 352000 357280 369600 371320 382800 389760 389886 406000 408320 408452 428736 445584 446600 462000 464000 464150 478500 487200 492800 510400 510565 519848 528000 535920 538414 556800 556980 558250 571648 594112 609000 612480 612678 616000 638000 649600 649810 669900 672000 696000 696225 714560 714791 739200 742640 765600 779520 779772 807621 812000 816904 837375 857472 891168 893200 924000 928000 928300 957000 974400 974715 1020800 1021130 1039696 1056000 1071840 1076828 1113960 1116500 1160375 1188224 1218000 1224960 1225356 1232000 1276000 1299200 1299620 1339800 1346035 1392000 1392450 1429120 1429582 1478400 1485280 1531200 1531695 1559544 1615242 1624000 1624525 1633808 1674750 1714944 1782336 1786400 1848000 1856600 1884449 1914000 1948800 1949430 2041600 2042260 2079392 2143680 2144373 2153656 2227920 2233000 2320750 2376448 2436000 2450712 2464000 2552000 2552825 2599240 2679600 2692070 2784000 2784900 2858240 2859164 2961277 2970560 3062400 3063390 3119088 3230484 3248000 3249050 3267616 3349500 3481125 3564672 3572800 3573955 3696000 3713200 3768898 3828000 3897600 3898860 4038105 4084520 4158784 4287360 4288746 4307312 4455840 4466000 4641500 4872000 4873575 4901424 5104000 5105650 5198480 5359200 5384140 5569800 5653347 5718328 5922554 5941120 6124800 6126780 6238176 6460968 6496000 6498100 6535232 6699000 6730175 6962250 7129344 7145600 7147910 7392000 7426400 7537796 7656000 7658475 7797720 8076210 8122625 8169040 8317568 8574720 8577492 8614624 8883831 8911680 8932000 9283000 9422245 9744000 9747150 9802848 10208000 10211300 10396960 10718400 10721865 10768280 11139600 11306694 11436656 11845108 11882240 12253560 12476352 12764125 12921936 12996200 13070464 13398000 13460350 13924500 14291200 14295820 14806385 14852800 15075592 15312000 15316950 15595440 16152420 16245250 16338080 16635136 17154984 17229248 17767662 17823360 17864000 17869775 18566000 18844490 19488000 19494300 19605696 20190525 20422600 20728939 20793920 21436800 21443730 21536560 22279200 22613388 22873312 23690216 24367875 24507120 24952704 25528250 25843872 25992400 26140928 26796000 26920700 27849000 28266735 28591640 29612770 29705600 30151184 30624000 30633900 31190880 32304840 32490500 32676160 33650875 34309968 34458496 35535324 35646720 35728000 35739550 37132000 37688980 38292375 38988600 39211392 40381050 40845200 41457878 41587840 42873600 42887460 43073120 44419155 44558400 45226776 45746624 47111225 47380432 48735750 49014240 49905408 51056500 51687744 51984800 53592000 53609325 53841400 55698000 56533470 57183280 59225540 59411200 60302368 61267800 62186817 62381760 64609680 64981000 65352320 67301750 68619936 68916992 71070648 71456000 71479100 74031925 74264000 75377960 76584750 77977200 78422784 80762100 81690400 82915756 83175680 85774920 86146240 88838310 89116800 89348875 90453552 91493248 94222450 94760864 97471500 98028480 100952625 102113000 103375488 103644695 103969600 107184000 107218650 107682800 111396000 113066940 114366560 118451080 120604736 122535600 124373634 124763520 129219360 129962000 130704640 134603500 137239872 141333675 142141296 142958200 148063850 148528000 150755920 153169500 155954400 161524200 163380800 165831512 171549840 172292480 177676620 178233600 178697750 180907104 182986496 188444900 189521728 194943000 196056960 201905250 204226000 206750976 207289390 207939200 214368000 214437300 215365600 222095775 222792000 226133880 228733120 235556125 236902160 241209472 245071200 248747268 249527040 258438720 259924000 268046625 269207000 274479744 282667350 284282592 285916400 296127700 297056000 301511840 306339000 310934085 311908800 323048400 326761600 331663024 343099680 344584960 355353240 357395500 361814208 370159625 376889800 379043456 389886000 392113920 403810500 408452000 414578780 415878400 428874600 430731200 444191550 445584000 452267760 457466240 471112250 473804320 482418944 490142400 497494536 516877440 518223475 519848000 536093250 538414000 548959488 565334700 568565184 571832800 592255400 603023680 612678000 621868170 623817600 646096800 653523200 663326048 686199360 706668375 710706480 714791000 723628416 740319250 753779600 758086912 779772000 807621000 816904000 829157560 857749200 861462400 888383100 891168000 904535520 914932480 942224500 947608640 980284800 994989072 1033754880 1036446950 1039696000 1072186500 1076828000 1110478875 1130669400 1137130368 1143665600 1184510800 1206047360 1225356000 1243736340 1247635200 1292193600 1326652096 1372398720 1413336750 1421412960 1429582000 1447256832 1480638500 1507559200 1554670425 1559544000 1615242000 1633808000 1658315120 1715498400 1722924800 1776766200 1809071040 1884449000 1895217280 1960569600 1989978144 2072893900 2079392000 2144373000 2153656000 2220957750 2261338800 2274260736 2287331200 2369021600 2412094720 2450712000 2487472680 2584387200 2591117375 2653304192 2744797440 2826673500 2842825920 2859164000 2961277000 3015118400 3109340850 3119088000 3230484000 3267616000 3316630240 3430996800 3553532400 3618142080 3768898000 3790434560 3979956288 4145787800 4288746000 4307312000 4441915500 4522677600 4574662400 4738043200 4901424000 4974945360 5168774400 5182234750 5306608384 5653347000 5685651840 5718328000 5922554000 6030236800 6218681700 6238176000 6460968000 6633260480 6861993600 7107064800 7236284160 7537796000 7773352125 7959912576 8291575600 8577492000 8614624000 8883831000 9045355200 9476086400 9802848000 9949890720 10364469500 11306694000 11371303680 11436656000 11845108000 12060473600 12437363400 12921936000 13266520960 13723987200 14214129600 15075592000 15546704250 15919825152 16583151200 17154984000 17767662000 18090710400 18952172800 19899781440 20728939000 22613388000 22873312000 23690216000 24874726800 25843872000 26533041920 28428259200 30151184000 31093408500 33166302400 34309968000 35535324000 36181420800 39799562880 41457878000 45226776000 47380432000 49749453600 56856518400 60302368000 62186817000 66332604800 68619936000 71070648000 79599125760 82915756000 90453552000 94760864000 99498907200 124373634000 132665209600 142141296000 165831512000 180907104000 198997814400 248747268000 284282592000 331663024000 397995628800 497494536000 663326048000 994989072000 1989978144000
• Sum of all divisors σ(n): 8525760122880
• Sum of proper divisors (its aliquot sum) s(n): 6535781978880
• 1989978144000 is an abundant number, because the sum of its proper divisors (6535781978880) is greater than itself. Its abundance is 4545803834880

Bases of 1989978144000

• Binary: 11100111101010011111100001011110100000000₂
• Hexadecimal: 0x1CF53F0BD00
• Base-36: PE6LLUYO

Squares and roots of 1989978144000

• 1989978144000 squared (1989978144000²) is 3960013013597684736000000
• 1989978144000 cubed (1989978144000³) is 7880339347014967433642409984000000000
• The square root of 1989978144000 is 1410665.8512915097
• The cube root of 1989978144000 is 12578.1306709201

Scales and comparisons

• 1,989,978,144,000 seconds is equal to 63,275 years, 7 weeks, 5 days, 10 hours, 40 minutes.
• To count from 1 to 1,989,978,144,000 would take you about one hundred fifty-eight thousand, one hundred eighty-seven 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 1989978144000 cubic inches would be around 1048.2 feet tall.

Recreational maths with 1989978144000

• 1989978144000 backwards is 0004418799891
• 1989978144000 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 1989978144000's digits is 60
• More coming soon!