345112416000

Names of 345112416000

• Cardinal: 345112416000 can be written as Three hundred forty-five billion, one hundred twelve million, four hundred sixteen thousand.

Scientific notation

• Scientific notation: 3.45112416 × 10¹¹

Factors of 345112416000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 2719

Divisors of 345112416000

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 40 41 44 45 48 50 55 60 64 66 72 75 80 82 88 90 96 99 100 110 120 123 125 128 132 144 150 160 164 165 176 180 192 198 200 205 220 225 240 246 250 256 264 275 288 300 320 328 330 352 360 369 375 384 396 400 410 440 450 451 480 492 495 500 528 550 576 600 615 640 656 660 704 720 738 750 768 792 800 820 825 880 900 902 960 984 990 1000 1025 1056 1100 1125 1152 1200 1230 1280 1312 1320 1353 1375 1408 1440 1476 1500 1584 1600 1640 1650 1760 1800 1804 1845 1920 1968 1980 2000 2050 2112 2200 2250 2255 2304 2400 2460 2475 2624 2640 2657 2706 2750 2816 2880 2952 3000 3075 3168 3200 3280 3300 3520 3600 3608 3690 3840 3936 3960 4000 4059 4100 4125 4224 4400 4500 4510 4800 4920 4950 5125 5248 5280 5314 5412 5500 5760 5904 6000 6150 6336 6400 6560 6600 6765 7040 7200 7216 7380 7872 7920 7971 8000 8118 8200 8250 8448 8800 9000 9020 9225 9600 9840 9900 10250 10496 10560 10628 10824 11000 11275 11520 11808 12000 12300 12375 12672 13120 13200 13285 13530 14080 14400 14432 14760 15375 15744 15840 15942 16000 16236 16400 16500 17600 18000 18040 18450 19200 19680 19800 20295 20500 21120 21256 21648 22000 22550 23616 23913 24000 24600 24750 25344 26240 26400 26570 27060 28800 28864 29227 29520 30750 31488 31680 31884 32000 32472 32800 33000 33825 35200 36000 36080 36900 39360 39600 39855 40590 41000 42240 42512 43296 44000 45100 46125 47232 47826 48000 49200 49500 52480 52800 53140 54120 56375 57600 57728 58454 59040 61500 63360 63768 64944 65600 66000 66425 67650 70400 72000 72160 73800 78720 79200 79710 81180 82000 85024 86592 87681 88000 90200 92250 94464 95652 96000 98400 99000 101475 105600 106280 108240 108937 112750 115456 116908 118080 119565 123000 126720 127536 129888 131200 132000 132850 135300 144000 144320 146135 147600 157440 158400 159420 162360 164000 169125 170048 173184 175362 176000 180400 184500 191304 196800 198000 199275 202950 211200 212560 216480 217874 225500 233816 236160 239130 246000 255072 259776 262400 263043 264000 265700 270600 288000 288640 292270 295200 316800 318840 324720 326811 328000 332125 338250 340096 346368 350724 352000 360800 369000 382608 393600 396000 398550 405900 425120 432960 435748 438405 451000 467632 472320 478260 492000 507375 510144 519552 526086 528000 531400 541200 544685 577280 584540 590400 597825 633600 637680 649440 653622 656000 664250 676500 680192 701448 721600 730675 738000 765216 787200 792000 797100 811800 850240 865920 871496 876810 902000 935264 956520 980433 984000 996375 1014750 1020288 1039104 1052172 1056000 1062800 1082400 1089370 1169080 1180800 1195650 1198307 1275360 1298880 1307244 1312000 1315215 1328500 1353000 1402896 1443200 1461350 1476000 1530432 1584000 1594200 1623600 1634055 1700480 1731840 1742992 1753620 1804000 1870528 1913040 1960866 1968000 1992750 2029500 2040576 2104344 2125600 2164800 2178740 2192025 2338160 2361600 2391300 2396614 2550720 2597760 2614488 2630430 2657000 2706000 2723425 2805792 2886400 2922700 2952000 2989125 3060864 3168000 3188400 3247200 3268110 3400960 3485984 3507240 3594921 3608000 3653375 3741056 3826080 3921732 3936000 3985500 4059000 4208688 4251200 4329600 4357480 4384050 4676320 4782600 4793228 4902165 5101440 5195520 5228976 5260860 5314000 5412000 5446850 5611584 5845400 5904000 5978250 5991535 6121728 6376800 6494400 6536220 6576075 6971968 7014480 7189842 7216000 7306750 7482112 7652160 7843464 7971000 8118000 8170275 8417376 8502400 8659200 8714960 8768100 9352640 9565200 9586456 9804330 10202880 10457952 10521720 10628000 10784763 10824000 10893700 10960125 11223168 11690800 11808000 11956500 11983070 12753600 12988800 13072440 13152150 13617125 13943936 14028960 14379684 14432000 14613500 15304320 15686928 15942000 16236000 16340550 16834752 17004800 17429920 17536200 17974605 18705280 19130400 19172912 19608660 20915904 21043440 21256000 21569526 21648000 21787400 21920250 22446336 23381600 23913000 23966140 24510825 25507200 25977600 26144880 26304300 27234250 27887872 28057920 28759368 29227000 29957675 30608640 31373856 31884000 32472000 32681100 32880375 33669504 34859840 35072400 35949210 37410560 38260800 38345824 39217320 40851375 41831808 42086880 42512000 43139052 43296000 43574800 43840500 46763200 47826000 47932280 49021650 51014400 52289760 52608600 53923815 54468500 56115840 57518736 58454000 59915350 62747712 63768000 64944000 65362200 65760750 67339008 69719680 70144800 71898420 76521600 76691648 78434640 81702750 83663616 84173760 85024000 86278104 87149600 87681000 89873025 93526400 95652000 95864560 98043300 104579520 105217200 107847630 108937000 112231680 115037472 116908000 119830700 122554125 125495424 127536000 129888000 130724400 131521500 139439360 140289600 143796840 149788375 153043200 153383296 156869280 163405500 168347520 172556208 174299200 175362000 179746050 187052800 191304000 191729120 196086600 209159040 210434400 215695260 217874000 230074944 233816000 239661400 245108250 250990848 255072000 261448800 263043000 269619075 280579200 287593680 299576750 306766592 313738560 326811000 336695040 345112416 348598400 350724000 359492100 382608000 383458240 392173200 418318080 420868800 431390520 435748000 449365125 460149888 467632000 479322800 490216500 522897600 526086000 539238150 561158400 575187360 599153500 627477120 653622000 690224832 697196800 701448000 718984200 765216000 766916480 784346400 841737600 862781040 871496000 898730250 920299776 935264000 958645600 980433000 1045795200 1052172000 1078476300 1150374720 1198307000 1254954240 1307244000 1348095375 1380449664 1402896000 1437968400 1533832960 1568692800 1683475200 1725562080 1742992000 1797460500 1917291200 1960866000 2091590400 2104344000 2156952600 2300749440 2396614000 2614488000 2696190750 2760899328 2805792000 2875936800 3137385600 3451124160 3485984000 3594921000 3834582400 3921732000 4208688000 4313905200 4601498880 4793228000 5228976000 5392381500 5751873600 6274771200 6902248320 7189842000 7669164800 7843464000 8417376000 8627810400 9586456000 10457952000 10784763000 11503747200 13804496640 14379684000 15686928000 17255620800 19172912000 21569526000 23007494400 28759368000 31373856000 34511241600 38345824000 43139052000 57518736000 69022483200 86278104000 115037472000 172556208000 345112416000
• Sum of all divisors σ(n): 1388271358656
• Sum of proper divisors (its aliquot sum) s(n): 1043158942656
• 345112416000 is an abundant number, because the sum of its proper divisors (1043158942656) is greater than itself. Its abundance is 698046526656

Bases of 345112416000

• Binary: 101000001011010010011011000111100000000₂
• Hexadecimal: 0x505A4D8F00
• Base-36: 4EJJ0SG0

Squares and roots of 345112416000

• 345112416000 squared (345112416000²) is 119102579677357056000000
• 345112416000 cubed (345112416000³) is 41103779024285194090807296000000000
• The square root of 345112416000 is 587462.6932835819
• The cube root of 345112416000 is 7014.3407771093

Scales and comparisons

• 345,112,416,000 seconds is equal to 10,973 years, 26 weeks, 2 days, 16 hours.
• To count from 1 to 345,112,416,000 would take you about twenty-one thousand, nine hundred forty-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 345112416000 cubic inches would be around 584.5 feet tall.

Recreational maths with 345112416000

• 345112416000 backwards is 000614211543
• The number of decimal digits it has is: 12
• The sum of 345112416000's digits is 27
• More coming soon!