13148852864000

Names of 13148852864000

• Cardinal: 13148852864000 can be written as Thirteen trillion, one hundred forty-eight billion, eight hundred fifty-two million, eight hundred sixty-four thousand.

Scientific notation

• Scientific notation: 1.3148852864 × 10¹³

Factors of 13148852864000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 9706

Divisors of 13148852864000

• Number of divisors d(n): 704
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 49 50 56 62 64 70 80 98 100 112 124 125 128 140 155 160 175 196 200 217 224 245 248 250 256 280 310 320 343 350 392 400 434 448 490 496 500 512 560 620 640 686 700 775 784 800 868 875 896 980 992 1000 1024 1085 1120 1225 1240 1280 1372 1400 1519 1550 1568 1600 1715 1736 1750 1792 1960 1984 2000 2170 2240 2450 2480 2560 2744 2800 3038 3100 3136 3200 3430 3472 3500 3584 3875 3920 3968 4000 4340 4480 4900 4960 5120 5425 5488 5600 6076 6125 6200 6272 6400 6860 6944 7000 7168 7595 7750 7840 7936 8000 8575 8680 8960 9661 9800 9920 10633 10850 10976 11200 12152 12250 12400 12544 12800 13720 13888 14000 15190 15500 15680 15872 16000 17150 17360 17920 19322 19600 19840 21266 21700 21952 22400 24304 24500 24800 25088 25600 27125 27440 27776 28000 30380 31000 31360 31744 32000 34300 34720 35840 37975 38644 39200 39680 42532 42875 43400 43904 44800 48305 48608 49000 49600 50176 53165 54250 54880 55552 56000 60760 62000 62720 64000 67627 68600 69440 75950 77288 78400 79360 85064 85750 86800 87808 89600 96610 97216 98000 99200 106330 108500 109760 111104 112000 121520 124000 125440 128000 135254 137200 138880 151900 154576 156800 158720 170128 171500 173600 175616 179200 189875 193220 194432 196000 198400 212660 217000 219520 222208 224000 241525 243040 248000 250880 265825 270508 274400 277760 299491 303800 309152 313600 338135 340256 343000 347200 351232 379750 386440 388864 392000 396800 425320 434000 439040 448000 473389 483050 486080 496000 531650 541016 548800 555520 598982 607600 618304 627200 676270 680512 686000 694400 759500 772880 777728 784000 793600 850640 868000 878080 896000 946778 966100 972160 992000 1063300 1082032 1097600 1111040 1197964 1207625 1215200 1236608 1254400 1329125 1352540 1361024 1372000 1388800 1497455 1519000 1545760 1555456 1568000 1690675 1701280 1736000 1756160 1893556 1932200 1944320 1984000 2096437 2126600 2164064 2195200 2366945 2395928 2415250 2430400 2473216 2658250 2705080 2722048 2744000 2777600 2994910 3038000 3091520 3136000 3313723 3381350 3402560 3472000 3787112 3864400 3888640 3968000 4192874 4253200 4328128 4390400 4733890 4791856 4830500 4860800 4946432 5316500 5410160 5444096 5488000 5555200 5989820 6076000 6183040 6272000 6627446 6762700 6805120 6944000 7487275 7574224 7728800 7777280 8385748 8453375 8506400 8656256 8780800 9467780 9583712 9661000 9721600 9892864 10482185 10633000 10820320 10888192 10976000 11834725 11979640 12152000 12366080 13254892 13525400 13610240 13888000 14675059 14974550 15148448 15457600 16568615 16771496 16906750 17012800 17312512 18935560 19167424 19322000 19443200 20964370 21266000 21640640 21952000 23669450 23959280 24304000 24732160 26509784 27050800 27220480 27776000 29350118 29949100 30296896 30915200 33137230 33542992 33813500 34025600 34625024 37436375 37871120 38334848 38644000 38886400 41928740 42532000 43281280 43904000 47338900 47918560 48608000 49464320 52410925 53019568 54101600 54440960 58700236 59173625 59898200 60593792 61830400 66274460 67085984 67627000 68051200 69250048 73375295 74872750 75742240 76669696 77288000 82843075 83857480 85064000 86562560 94677800 95837120 97216000 102725413 104821850 106039136 108203200 117400472 118347250 119796400 121187584 123660800 132548920 134171968 135254000 136102400 146750590 149745500 151484480 153339392 154576000 165686150 167714960 170128000 173125120 189355600 191674240 194432000 205450826 209643700 212078272 216406400 234800944 236694500 239592800 242375168 247321600 262054625 265097840 268343936 270508000 272204800 293501180 299491000 302968960 306678784 309152000 331372300 335429920 340256000 346250240 366876475 378711200 383348480 410901652 414215375 419287400 424156544 432812800 469601888 473389000 479185600 484750336 513627065 524109250 530195680 536687872 541016000 587002360 598982000 605937920 618304000 662744600 670859840 680512000 733752950 757422400 766696960 821803304 828430750 838574800 848313088 865625600 939203776 946778000 958371200 1027254130 1048218500 1060391360 1073375744 1082032000 1174004720 1197964000 1211875840 1236608000 1325489200 1341719680 1361024000 1467505900 1514844800 1533393920 1643606608 1656861500 1677149600 1696626176 1731251200 1834382375 1878407552 1893556000 1916742400 2054508260 2096437000 2120782720 2146751488 2164064000 2348009440 2395928000 2423751680 2568135325 2650978400 2683439360 2935011800 3029689600 3287213216 3313723000 3354299200 3393252352 3668764750 3756815104 3787112000 3833484800 4109016520 4192874000 4241565440 4328128000 4696018880 4791856000 5136270650 5301956800 5366878720 5870023600 6059379200 6574426432 6627446000 6708598400 7337529500 7513630208 7574224000 7666969600 8218033040 8385748000 8483130880 8656256000 9392037760 9583712000 10272541300 10603913600 10733757440 11740047200 12118758400 12840676625 13148852864 13254892000 13417196800 14675059000 15027260416 15148448000 16436066080 16771496000 16966261760 18784075520 19167424000 20545082600 21207827200 23480094400 25681353250 26297705728 26509784000 26834393600 29350118000 30296896000 32872132160 33542992000 37568151040 38334848000 41090165200 42415654400 46960188800 51362706500 52595411456 53019568000 53668787200 58700236000 60593792000 65744264320 67085984000 75136302080 82180330400 84831308800 93920377600 102725413000 105190822912 106039136000 117400472000 131488528640 134171968000 164360660800 187840755200 205450826000 212078272000 234800944000 262977057280 268343936000 328721321600 375681510400 410901652000 424156544000 469601888000 525954114560 657442643200 821803304000 939203776000 1314885286400 1643606608000 1878407552000 2629770572800 3287213216000 6574426432000 13148852864000
• Sum of all divisors σ(n): 39492938035200
• Sum of proper divisors (its aliquot sum) s(n): 26344085171200
• 13148852864000 is an abundant number, because the sum of its proper divisors (26344085171200) is greater than itself. Its abundance is 13195232307200

Bases of 13148852864000

• Binary: 10111111010101110100101101000100010000000000₂
• Hexadecimal: 0xBF574B44400
• Base-36: 4NSHZI2GW

Squares and roots of 13148852864000

• 13148852864000 squared (13148852864000²) is 172892331639121002496000000
• 13148852864000 cubed (13148852864000³) is 2273335830036694008112080748544000000000
• The square root of 13148852864000 is 3626134.7002007523
• The cube root of 13148852864000 is 23602.7508428049

Scales and comparisons

• 13,148,852,864,000 seconds is equal to 418,092 years, 44 weeks, 1 day, 53 minutes, 20 seconds.
• To count from 1 to 13,148,852,864,000 would take you about one million, forty-five thousand, two hundred thirty-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 13148852864000 cubic inches would be around 1966.9 feet tall.

Recreational maths with 13148852864000

• 13148852864000 backwards is 00046825884131
• 13148852864000 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13148852864000's digits is 50
• More coming soon!