4148800768000

Names of 4148800768000

• Cardinal: 4148800768000 can be written as Four trillion, one hundred forty-eight billion, eight hundred million, seven hundred sixty-eight thousand.

Scientific notation

• Scientific notation: 4.148800768 × 10¹²

Factors of 4148800768000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 8042

Divisors of 4148800768000

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 50 56 64 68 70 80 85 100 112 119 125 128 136 140 160 170 175 200 224 238 250 256 272 280 289 320 340 350 400 425 448 476 500 512 544 560 578 595 640 680 700 800 850 875 896 952 1000 1024 1088 1120 1156 1190 1280 1360 1400 1445 1600 1700 1750 1792 1904 2000 2023 2048 2125 2176 2240 2312 2380 2560 2720 2800 2890 2975 3200 3400 3500 3584 3808 4000 4046 4250 4352 4480 4624 4760 5120 5440 5600 5780 5950 6400 6800 7000 7168 7225 7616 8000 8011 8092 8500 8704 8960 9248 9520 10115 10240 10880 11200 11560 11900 12800 13600 14000 14336 14450 14875 15232 16000 16022 16184 17000 17408 17920 18496 19040 20230 21760 22400 23120 23800 25600 27200 28000 28900 29750 30464 32000 32044 32368 34000 34816 35840 36125 36992 38080 40055 40460 43520 44800 46240 47600 50575 51200 54400 56000 56077 57800 59500 60928 64000 64088 64736 68000 71680 72250 73984 76160 80110 80920 87040 89600 92480 95200 101150 108800 112000 112154 115600 119000 121856 128000 128176 129472 136000 136187 144500 147968 152320 160220 161840 174080 179200 184960 190400 200275 202300 217600 224000 224308 231200 238000 243712 252875 256000 256352 258944 272000 272374 280385 289000 295936 304640 320440 323680 358400 369920 380800 400550 404600 435200 448000 448616 462400 476000 505750 512704 517888 544000 544748 560770 578000 591872 609280 640880 647360 680935 739840 761600 801100 809200 870400 896000 897232 924800 952000 953309 1001375 1011500 1025408 1035776 1088000 1089496 1121540 1156000 1218560 1281760 1294720 1361870 1401925 1479680 1523200 1602200 1618400 1792000 1794464 1849600 1904000 1906618 2002750 2023000 2050816 2071552 2176000 2178992 2243080 2312000 2315179 2563520 2589440 2723740 2803850 2959360 3046400 3204400 3236800 3404675 3588928 3699200 3808000 3813236 4005500 4046000 4101632 4143104 4352000 4357984 4486160 4624000 4630358 4766545 5127040 5178880 5447480 5607700 6092800 6408800 6473600 6809350 7009625 7177856 7398400 7616000 7626472 8011000 8092000 8203264 8715968 8972320 9248000 9260716 9533090 10254080 10357760 10894960 11215400 11575895 12817600 12947200 13618700 14019250 14355712 14796800 15232000 15252944 16022000 16184000 16206253 16406528 17023375 17431936 17944640 18496000 18521432 19066180 20508160 20715520 21789920 22430800 23151790 23832725 25635200 25894400 27237400 28038500 28711424 30464000 30505888 32044000 32368000 32412506 34046750 34863872 35889280 36992000 37042864 38132360 41016320 43579840 44861600 46303580 47665450 51270400 51788800 54474800 56077000 57422848 57879475 61011776 64088000 64736000 64825012 68093500 69727744 71778560 73984000 74085728 76264720 81031265 82032640 87159680 89723200 92607160 95330900 102540800 103577600 108949600 112154000 114845696 115758950 119163625 122023552 128176000 129472000 129650024 136187000 139455488 143557120 148171456 152529440 162062530 174319360 179446400 185214320 190661800 205081600 217899200 224308000 231517900 238327250 244047104 256352000 258944000 259300048 272374000 278910976 287114240 289397375 296342912 305058880 324125060 348638720 358892800 370428640 381323600 405156325 410163200 435798400 448616000 463035800 476654500 488094208 512704000 517888000 518600096 544748000 574228480 578794750 592685824 610117760 648250120 697277440 717785600 740857280 762647200 810312650 871596800 897232000 926071600 953309000 976188416 1025408000 1037200192 1089496000 1157589500 1185371648 1220235520 1296500240 1394554880 1435571200 1481714560 1525294400 1620625300 1743193600 1794464000 1852143200 1906618000 1952376832 2025781625 2050816000 2074400384 2178992000 2315179000 2370743296 2440471040 2593000480 2871142400 2963429120 3050588800 3241250600 3486387200 3588928000 3704286400 3813236000 4051563250 4148800768 4357984000 4630358000 4741486592 4880942080 5186000960 5926858240 6101177600 6482501200 6972774400 7177856000 7408572800 7626472000 8103126500 8297601536 8715968000 9260716000 9761884160 10372001920 11853716480 12202355200 12965002400 14355712000 14817145600 15252944000 16206253000 16595203072 17431936000 18521432000 20744003840 23707432960 24404710400 25930004800 29634291200 30505888000 32412506000 33190406144 34863872000 37042864000 41488007680 48809420800 51860009600 59268582400 61011776000 64825012000 74085728000 82976015360 103720019200 118537164800 122023552000 129650024000 148171456000 165952030720 207440038400 244047104000 259300048000 296342912000 414880076800 518600096000 592685824000 829760153600 1037200192000 2074400384000 4148800768000
• Sum of all divisors σ(n): 12570362663040
• Sum of proper divisors (its aliquot sum) s(n): 8421561895040
• 4148800768000 is an abundant number, because the sum of its proper divisors (8421561895040) is greater than itself. Its abundance is 4272761127040

Bases of 4148800768000

• Binary: 111100010111110111110010111100100000000000₂
• Hexadecimal: 0x3C5F7CBC800
• Base-36: 1GXXKUWHS

Squares and roots of 4148800768000

• 4148800768000 squared (4148800768000²) is 17212547812557389824000000
• 4148800768000 cubed (4148800768000³) is 71411431583974818945886584832000000000
• The square root of 4148800768000 is 2036860.5175612785
• The cube root of 4148800768000 is 16068.4576788983

Scales and comparisons

• 4,148,800,768,000 seconds is equal to 131,919 years, 1 week, 4 days, 9 hours, 46 minutes, 40 seconds.
• To count from 1 to 4,148,800,768,000 would take you about three hundred twenty-nine thousand, seven hundred ninety-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 4148800768000 cubic inches would be around 1339 feet tall.

Recreational maths with 4148800768000

• 4148800768000 backwards is 0008670088414
• The number of decimal digits it has is: 13
• The sum of 4148800768000's digits is 46
• More coming soon!