12148132864000

Names of 12148132864000

• Cardinal: 12148132864000 can be written as Twelve trillion, one hundred forty-eight billion, one hundred thirty-two million, eight hundred sixty-four thousand.

Scientific notation

• Scientific notation: 1.2148132864 × 10¹³

Factors of 12148132864000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 505

Divisors of 12148132864000

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 47 50 56 64 70 80 94 100 107 112 125 128 140 160 175 188 200 214 224 235 250 256 280 320 329 337 350 376 400 428 448 470 500 512 535 560 640 658 674 700 749 752 800 856 875 896 940 1000 1024 1070 1120 1175 1280 1316 1348 1400 1498 1504 1600 1645 1685 1712 1750 1792 1880 2000 2048 2140 2240 2350 2359 2560 2632 2675 2696 2800 2996 3008 3200 3290 3370 3424 3500 3584 3745 3760 4000 4096 4280 4480 4700 4718 5029 5120 5264 5350 5392 5600 5875 5992 6016 6400 6580 6740 6848 7000 7168 7490 7520 8000 8192 8225 8425 8560 8960 9400 9436 10058 10240 10528 10700 10784 11200 11750 11795 11984 12032 12800 13160 13375 13480 13696 14000 14336 14980 15040 15839 16000 16450 16850 17120 17920 18725 18800 18872 20116 20480 21056 21400 21568 22400 23500 23590 23968 24064 25145 25600 26320 26750 26960 27392 28000 28672 29960 30080 31678 32000 32900 33700 34240 35203 35840 36059 37450 37600 37744 40232 40960 41125 42112 42125 42800 43136 44800 47000 47180 47936 48128 50290 51200 52640 53500 53920 54784 56000 57344 58975 59920 60160 63356 64000 65800 67400 68480 70406 71680 72118 74900 75200 75488 79195 80464 82250 84224 84250 85600 86272 89600 93625 94000 94360 95872 96256 100580 102400 105280 107000 107840 109568 110873 112000 117950 119840 120320 125725 126712 128000 131600 134800 136960 140812 143360 144236 149800 150400 150976 158390 160928 164500 168448 168500 171200 172544 176015 179200 180295 187250 188000 188720 191744 192512 201160 204800 210560 214000 215680 219136 221746 224000 235900 239680 240640 251450 252413 253424 256000 263200 269600 273920 281624 286720 288472 294875 299600 300800 301952 316780 321856 329000 336896 337000 342400 345088 352030 358400 360590 374500 376000 377440 383488 385024 395975 402320 421120 428000 431360 438272 443492 448000 471800 479360 481280 502900 504826 506848 512000 526400 539200 547840 554365 563248 576944 589750 599200 601600 603904 628625 633560 643712 658000 673792 674000 684800 690176 704060 716800 721180 749000 752000 754880 766976 791950 804640 842240 856000 862720 876544 880075 886984 896000 901475 943600 958720 962560 1005800 1009652 1013696 1024000 1052800 1078400 1095680 1108730 1126496 1153888 1179500 1198400 1203200 1207808 1257250 1262065 1267120 1287424 1316000 1347584 1348000 1369600 1380352 1408120 1433600 1442360 1498000 1504000 1509760 1533952 1583900 1609280 1684480 1694773 1712000 1725440 1760150 1773968 1792000 1802950 1887200 1917440 1925120 1979875 2011600 2019304 2027392 2105600 2156800 2191360 2217460 2252992 2307776 2359000 2396800 2406400 2415616 2514500 2524130 2534240 2574848 2632000 2695168 2696000 2739200 2760704 2771825 2816240 2884720 2996000 3008000 3019520 3067904 3167800 3218560 3368960 3389546 3424000 3450880 3520300 3547936 3584000 3605900 3774400 3834880 3959750 4023200 4038608 4054784 4211200 4313600 4382720 4400375 4434920 4505984 4507375 4615552 4718000 4793600 4812800 4831232 5029000 5048260 5068480 5149696 5264000 5392000 5478400 5543650 5632480 5769440 5992000 6016000 6039040 6135808 6310325 6335600 6437120 6737920 6779092 6848000 6901760 7040600 7095872 7168000 7211800 7548800 7669760 7919500 8046400 8077216 8109568 8422400 8473865 8627200 8800750 8869840 9011968 9014750 9231104 9436000 9587200 9625600 9662464 10058000 10096520 10136960 10299392 10528000 10784000 10956800 11087300 11264960 11538880 11863411 11984000 12032000 12078080 12620650 12671200 12874240 13475840 13558184 13696000 13803520 13859125 14081200 14191744 14423600 15097600 15339520 15839000 16092800 16154432 16219136 16844800 16947730 17254400 17601500 17739680 18023936 18029500 18462208 18872000 19174400 19324928 20116000 20193040 20273920 20598784 21056000 21568000 21913600 22174600 22529920 23077760 23726822 23968000 24064000 24156160 25241300 25342400 25748480 27116368 27392000 27718250 28162400 28383488 28847200 30195200 30679040 31551625 31678000 32185600 32308864 32438272 33689600 33895460 34508800 35203000 35479360 36047872 36059000 36924416 37744000 38348800 40232000 40386080 40547840 41197568 42112000 42369325 43136000 44349200 45059840 46155520 47453644 47936000 48128000 48312320 50482600 50684800 51496960 54232736 54784000 55436500 56324800 56766976 57694400 59317055 60390400 63103250 63356000 64371200 64617728 64876544 67379200 67790920 69017600 70406000 70958720 72095744 72118000 73848832 75488000 76697600 80464000 80772160 81095680 84224000 84738650 86272000 88698400 90119680 92311040 94907288 95872000 96624640 100965200 101369600 102993920 108465472 109568000 110873000 112649600 113533952 115388800 118634110 120780800 126206500 126712000 128742400 129235456 129753088 135581840 140812000 141917440 144191488 144236000 147697664 150976000 153395200 160928000 161544320 162191360 168448000 169477300 172544000 177396800 180239360 184622080 189814576 191744000 201930400 202739200 205987840 211846625 216930944 221746000 225299200 227067904 230777600 237268220 241561600 252413000 253424000 257484800 258470912 271163680 281624000 283834880 288382976 288472000 295395328 296585275 301952000 321856000 323088640 324382720 336896000 338954600 345088000 354793600 360478720 369244160 379629152 383488000 403860800 405478400 423693250 433861888 443492000 450598400 454135808 461555200 474536440 483123200 504826000 506848000 514969600 516941824 542327360 563248000 567669760 576944000 593170550 603904000 643712000 646177280 648765440 677909200 709587200 720957440 738488320 759258304 766976000 807721600 810956800 847386500 867723776 886984000 901196800 908271616 923110400 949072880 1009652000 1013696000 1029939200 1033883648 1084654720 1126496000 1135339520 1153888000 1186341100 1207808000 1287424000 1292354560 1355818400 1419174400 1441914880 1476976640 1482926375 1518516608 1615443200 1621913600 1694773000 1735447552 1773968000 1802393600 1846220800 1898145760 2019304000 2027392000 2067767296 2169309440 2252992000 2270679040 2307776000 2372682200 2415616000 2574848000 2584709120 2711636800 2838348800 2965852750 3037033216 3230886400 3243827200 3389546000 3470895104 3547936000 3604787200 3692441600 3796291520 4038608000 4054784000 4338618880 4505984000 4541358080 4615552000 4745364400 5149696000 5169418240 5423273600 5676697600 5931705500 6074066432 6461772800 6779092000 6941790208 7095872000 7209574400 7384883200 7592583040 8077216000 8109568000 8677237760 9011968000 9231104000 9490728800 10338836480 10846547200 11353395200 11863411000 12148132864 12923545600 13558184000 13883580416 14191744000 15185166080 16154432000 16219136000 17354475520 18023936000 18462208000 18981457600 21693094400 22706790400 23726822000 24296265728 25847091200 27116368000 28383488000 30370332160 32308864000 34708951040 36047872000 36924416000 37962915200 43386188800 47453644000 48592531456 51694182400 54232736000 56766976000 60740664320 64617728000 69417902080 75925830400 86772377600 94907288000 97185062912 108465472000 113533952000 121481328640 129235456000 151851660800 173544755200 189814576000 216930944000 242962657280 258470912000 303703321600 347089510400 379629152000 433861888000 485925314560 607406643200 759258304000 867723776000 1214813286400 1518516608000 1735447552000 2429626572800 3037033216000 6074066432000 12148132864000
• Sum of all divisors σ(n): 35825289596928
• Sum of proper divisors (its aliquot sum) s(n): 23677156732928
• 12148132864000 is an abundant number, because the sum of its proper divisors (23677156732928) is greater than itself. Its abundance is 11529023868928

Bases of 12148132864000

• Binary: 10110000110001110101001001001110000000000000₂
• Hexadecimal: 0xB0C7524E000
• Base-36: 4B0RWNGN4

Squares and roots of 12148132864000

• 12148132864000 squared (12148132864000²) is 147577132081396842496000000
• 12148132864000 cubed (12148132864000³) is 1792786608212885705351489388544000000000
• The square root of 12148132864000 is 3485417.1721617485
• The cube root of 12148132864000 is 22988.1052950765

Scales and comparisons

• 12,148,132,864,000 seconds is equal to 386,273 years, 2 weeks, 3 days, 15 hours, 6 minutes, 40 seconds.
• To count from 1 to 12,148,132,864,000 would take you about nine hundred sixty-five thousand, six hundred eighty-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 12148132864000 cubic inches would be around 1915.7 feet tall.

Recreational maths with 12148132864000

• 12148132864000 backwards is 00046823184121
• 12148132864000 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 12148132864000's digits is 40
• More coming soon!