12345648000

Names of 12345648000

• Cardinal: 12345648000 can be written as Twelve billion, three hundred forty-five million, six hundred forty-eight thousand.

Scientific notation

• Scientific notation: 1.2345648 × 10¹⁰

Factors of 12345648000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 227

Divisors of 12345648000

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 29 30 32 35 40 42 48 49 50 56 58 60 64 70 75 80 84 87 96 98 100 105 112 116 120 125 128 140 145 147 150 160 168 174 175 181 192 196 200 203 210 224 232 240 245 250 280 290 294 300 320 336 348 350 362 375 384 392 400 406 420 435 448 464 480 490 500 525 543 560 580 588 600 609 640 672 696 700 724 725 735 750 784 800 812 840 870 875 896 905 928 960 980 1000 1015 1050 1086 1120 1160 1176 1200 1218 1225 1267 1344 1392 1400 1421 1448 1450 1470 1500 1568 1600 1624 1680 1740 1750 1810 1856 1920 1960 2000 2030 2100 2172 2175 2240 2320 2352 2400 2436 2450 2534 2625 2688 2715 2784 2800 2842 2896 2900 2940 3000 3045 3136 3200 3248 3360 3480 3500 3620 3625 3675 3712 3801 3920 4000 4060 4200 4263 4344 4350 4480 4525 4640 4704 4800 4872 4900 5068 5075 5249 5250 5430 5568 5600 5684 5792 5800 5880 6000 6090 6125 6272 6335 6496 6720 6960 7000 7105 7240 7250 7350 7602 7840 8000 8120 8400 8526 8688 8700 8869 9050 9280 9408 9600 9744 9800 10136 10150 10498 10500 10860 10875 11136 11200 11368 11584 11600 11760 12000 12180 12250 12670 12992 13440 13575 13920 14000 14210 14480 14500 14700 15204 15225 15680 15747 16000 16240 16800 17052 17376 17400 17738 18100 18375 18560 18816 19005 19488 19600 20272 20300 20996 21000 21315 21720 21750 22400 22625 22736 23168 23200 23520 24000 24360 24500 25340 25375 25984 26245 26607 27150 27840 28000 28420 28960 29000 29400 30408 30450 31360 31494 31675 32480 33600 34104 34752 34800 35476 35525 36200 36743 36750 38010 38976 39200 40544 40600 41992 42000 42630 43440 43500 44345 45250 45472 46400 47040 48000 48720 49000 50680 50750 52490 53214 54300 55680 56000 56840 57920 58000 58800 60816 60900 62988 63350 64960 67200 67875 68208 69504 69600 70952 71050 72400 73486 73500 76020 76125 77952 78400 78735 81088 81200 83984 84000 85260 86880 87000 88690 90500 90944 92800 94080 95025 97440 98000 101360 101500 104980 106428 106575 108600 110229 112000 113680 115840 116000 117600 121632 121800 125976 126700 129920 131225 133035 135750 136416 139200 141904 142100 144800 146972 147000 152040 152250 156800 157470 158375 162176 162400 167968 168000 170520 173760 174000 177380 177625 181000 181888 183715 190050 194880 196000 202720 203000 209960 212856 213150 217200 220458 221725 227360 232000 235200 243264 243600 251952 253400 257201 262450 266070 271500 272832 278400 283808 284200 289600 293944 294000 304080 304500 314940 316750 324800 335936 336000 341040 347520 348000 354760 355250 362000 367430 380100 389760 392000 393675 405440 406000 419920 425712 426300 434400 440916 443450 454720 464000 470400 475125 486528 487200 503904 506800 514402 524900 532140 532875 543000 545664 551145 567616 568400 579200 587888 588000 608160 609000 629880 633500 649600 656125 665175 671872 682080 696000 709520 710500 724000 734860 760200 771603 784000 787350 810880 812000 839840 851424 852600 868800 881832 886900 909440 918575 950250 974400 1007808 1013600 1028804 1049800 1064280 1065750 1086000 1102290 1108625 1135232 1136800 1175776 1176000 1216320 1218000 1259760 1267000 1286005 1312250 1330350 1364160 1392000 1419040 1421000 1448000 1469720 1520400 1543206 1574700 1624000 1679680 1702848 1705200 1737600 1763664 1773800 1837150 1900500 1948800 1968375 2015616 2027200 2057608 2099600 2128560 2131500 2172000 2204580 2217250 2273600 2351552 2352000 2432640 2436000 2519520 2534000 2572010 2624500 2660700 2728320 2755725 2838080 2842000 2896000 2939440 3040800 3086412 3149400 3248000 3325875 3359360 3405696 3410400 3527328 3547600 3674300 3801000 3858015 3936750 4054400 4115216 4199200 4257120 4263000 4344000 4409160 4434500 4547200 4592875 4703104 4872000 5039040 5068000 5144020 5249000 5321400 5511450 5676160 5684000 5878880 6081600 6172824 6298800 6430025 6651750 6820800 7054656 7095200 7348600 7602000 7716030 7873500 8230432 8398400 8514240 8526000 8688000 8818320 8869000 9185750 9744000 10078080 10136000 10288040 10498000 10642800 11022900 11368000 11757760 12163200 12345648 12597600 12860050 13303500 13641600 13778625 14109312 14190400 14697200 15204000 15432060 15747000 16460864 16796800 17028480 17052000 17636640 17738000 18371500 19290075 20272000 20576080 20996000 21285600 22045800 22736000 23515520 24691296 25195200 25720100 26607000 27557250 28380800 29394400 30408000 30864120 31494000 32150125 32921728 34104000 35273280 35476000 36743000 38580150 41152160 41992000 42571200 44091600 49382592 50390400 51440200 53214000 55114500 58788800 60816000 61728240 62988000 64300250 68208000 70546560 70952000 73486000 77160300 82304320 83984000 85142400 88183200 96450375 98765184 102880400 106428000 110229000 117577600 123456480 125976000 128600500 141904000 146972000 154320600 164608640 176366400 192900750 205760800 212856000 220458000 246912960 251952000 257201000 293944000 308641200 352732800 385801500 411521600 425712000 440916000 493825920 514402000 587888000 617282400 771603000 823043200 881832000 1028804000 1234564800 1543206000 1763664000 2057608000 2469129600 3086412000 4115216000 6172824000 12345648000
• Sum of all divisors σ(n): 49521326400
• Sum of proper divisors (its aliquot sum) s(n): 37175678400
• 12345648000 is an abundant number, because the sum of its proper divisors (37175678400) is greater than itself. Its abundance is 24830030400

Bases of 12345648000

• Binary: 1011011111110110111010001110000000₂
• Hexadecimal: 0x2DFDBA380
• Base-36: 5O6A2YO

Squares and roots of 12345648000

• 12345648000 squared (12345648000²) is 152415024539904000000
• 12345648000 cubed (12345648000³) is 1881662242881016737792000000000
• The square root of 12345648000 is 111110.9715554679
• The cube root of 12345648000 is 2311.2023125855

Scales and comparisons

• 12,345,648,000 seconds is equal to 392 years, 28 weeks, 5 days, 10 hours, 40 minutes.
• To count from 1 to 12,345,648,000 would take you about seven hundred eighty-five 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 12345648000 cubic inches would be around 192.6 feet tall.

Recreational maths with 12345648000

• 12345648000 backwards is 00084654321
• The number of decimal digits it has is: 11
• The sum of 12345648000's digits is 33
• More coming soon!