4048615728000

Names of 4048615728000

• Cardinal: 4048615728000 can be written as Four trillion, forty-eight billion, six hundred fifteen million, seven hundred twenty-eight thousand.

Scientific notation

• Scientific notation: 4.048615728 × 10¹²

Factors of 4048615728000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 4367

Divisors of 4048615728000

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 53 60 64 72 75 80 90 96 100 106 120 125 127 128 144 150 159 160 180 192 200 212 225 240 250 254 265 288 300 318 320 360 375 381 384 400 424 450 477 480 500 508 530 576 600 635 636 640 720 750 762 795 800 848 900 954 960 1000 1016 1060 1125 1143 1152 1200 1270 1272 1325 1440 1500 1524 1590 1600 1696 1800 1905 1908 1920 2000 2032 2120 2250 2286 2385 2400 2540 2544 2650 2880 3000 3048 3175 3180 3200 3392 3600 3810 3816 3975 4000 4064 4177 4240 4500 4572 4770 4800 5080 5088 5300 5715 5760 6000 6096 6350 6360 6625 6731 6784 7200 7620 7632 7950 8000 8128 8354 8480 9000 9144 9525 9540 9600 10160 10176 10600 11430 11925 12000 12192 12531 12700 12720 13250 13462 14400 15240 15264 15875 15900 16000 16256 16708 16960 18000 18288 19050 19080 19875 20193 20320 20352 20885 21200 22860 23850 24000 24384 25062 25400 25440 26500 26924 28575 28800 30480 30528 31750 31800 33416 33655 33920 36000 36576 37593 38100 38160 39750 40386 40640 41770 42400 45720 47625 47700 48000 48768 50124 50800 50880 53000 53848 57150 59625 60579 60960 61056 62655 63500 63600 66832 67310 72000 73152 75186 76200 76320 79500 80772 81280 83540 84800 91440 95250 95400 100248 100965 101600 101760 104425 106000 107696 114300 119250 121158 121920 125310 127000 127200 133664 134620 142875 144000 146304 150372 152400 152640 159000 161544 167080 168275 169600 182880 187965 190500 190800 200496 201930 203200 208850 212000 215392 221381 228600 238500 242316 243840 250620 254000 254400 267328 269240 285750 300744 302895 304800 305280 313275 318000 323088 334160 336550 365760 375930 381000 381600 400992 403860 406400 417700 424000 430784 442762 457200 477000 484632 501240 504825 508000 508800 522125 530479 534656 538480 571500 601488 605790 609600 626550 636000 646176 664143 668320 673100 731520 751860 762000 763200 801984 807720 835400 841375 848000 861568 885524 914400 939825 954000 969264 1002480 1009650 1016000 1044250 1060958 1076960 1106905 1143000 1202976 1211580 1219200 1253100 1272000 1292352 1328286 1336640 1346200 1503720 1514475 1524000 1526400 1566375 1591437 1603968 1615440 1670800 1682750 1771048 1828800 1879650 1908000 1938528 1992429 2004960 2019300 2032000 2088500 2121916 2153920 2213810 2286000 2405952 2423160 2506200 2524125 2544000 2584704 2652395 2656572 2673280 2692400 3007440 3028950 3048000 3132750 3182874 3230880 3320715 3341600 3365500 3542096 3657600 3759300 3816000 3877056 3984858 4009920 4038600 4177000 4243832 4307840 4427620 4572000 4699125 4774311 4811904 4846320 5012400 5048250 5304790 5313144 5384800 5534525 6014880 6057900 6096000 6265500 6365748 6461760 6641430 6683200 6731000 7084192 7518600 7572375 7632000 7754112 7957185 7969716 8019840 8077200 8354000 8487664 8855240 9144000 9398250 9548622 9692640 9962145 10024800 10096500 10609580 10626288 10769600 11069050 12029760 12115800 12531000 12731496 12923520 13261975 13282860 13366400 13462000 14168384 15037200 15144750 15914370 15939432 16154400 16603575 16708000 16975328 17710480 18288000 18796500 19097244 19385280 19924290 20049600 20193000 21219160 21252576 21539200 22138100 23871555 24059520 24231600 25062000 25462992 26523950 26565720 26924000 27672625 28115387 28336768 30074400 30289500 31828740 31878864 32308800 33207150 33416000 33950656 35420960 37593000 38194488 38770560 39785925 39848580 40099200 40386000 42438320 42505152 44276200 47743110 48463200 49810725 50124000 50925984 53047900 53131440 53848000 55345250 56230774 60148800 60579000 63657480 63757728 64617600 66309875 66414300 66832000 67901312 70841920 75186000 76388976 79571850 79697160 80772000 83017875 84346161 84876640 85010304 88552400 95486220 96926400 99621450 100248000 101851968 106095800 106262880 107696000 110690500 112461548 119357775 120297600 121158000 127314960 127515456 132619750 132828600 140576935 141683840 150372000 152777952 159143700 159394320 161544000 166035750 168692322 169753280 177104800 190972440 193852800 198929625 199242900 200496000 203703936 212191600 212525760 221381000 224923096 238715550 242316000 249053625 253038483 254629920 255030912 265239500 265657200 281153870 300744000 305555904 318287400 318788640 323088000 332071500 337384644 339506560 354209600 381944880 397859250 398485800 421730805 424383200 425051520 442762000 449846192 477431100 484632000 498107250 506076966 509259840 530479000 531314400 562307740 596788875 601488000 611111808 636574800 637577280 664143000 674769288 702884675 708419200 763889760 795718500 796971600 843461610 848766400 885524000 899692384 954862200 969264000 996214500 1012153932 1018519680 1060958000 1062628800 1124615480 1193577750 1265192415 1273149600 1275154560 1328286000 1349538576 1405769350 1527779520 1591437000 1593943200 1686923220 1697532800 1771048000 1799384768 1909724400 1992429000 2024307864 2108654025 2121916000 2125257600 2249230960 2387155500 2530384830 2546299200 2656572000 2699077152 2811538700 3055559040 3182874000 3187886400 3373846440 3514423375 3542096000 3598769536 3819448800 3984858000 4048615728 4217308050 4243832000 4498461920 4774311000 5060769660 5092598400 5313144000 5398154304 5623077400 6325962075 6365748000 6375772800 6747692880 7028846750 7638897600 7969716000 8097231456 8434616100 8487664000 8996923840 9548622000 10121539320 10543270125 10626288000 10796308608 11246154800 12651924150 12731496000 13495385760 14057693500 15277795200 15939432000 16194462912 16869232200 17993847680 19097244000 20243078640 21086540250 22492309600 25303848300 25462992000 26990771520 28115387000 31629810375 31878864000 32388925824 33738464400 38194488000 40486157280 42173080500 44984619200 50607696600 53981543040 56230774000 63259620750 67476928800 76388976000 80972314560 84346161000 89969238400 101215393200 112461548000 126519241500 134953857600 161944629120 168692322000 202430786400 224923096000 253038483000 269907715200 337384644000 404861572800 449846192000 506076966000 674769288000 809723145600 1012153932000 1349538576000 2024307864000 4048615728000
• Sum of all divisors σ(n): 14934142679040
• Sum of proper divisors (its aliquot sum) s(n): 10885526951040
• 4048615728000 is an abundant number, because the sum of its proper divisors (10885526951040) is greater than itself. Its abundance is 6836911223040

Bases of 4048615728000

• Binary: 111010111010100100010011010110001110000000₂
• Hexadecimal: 0x3AEA44D6380
• Base-36: 1FNWP9SW0

Squares and roots of 4048615728000

• 4048615728000 squared (4048615728000²) is 16391289313008969984000000
• 4048615728000 cubed (4048615728000³) is 66362031714846430882302308352000000000
• The square root of 4048615728000 is 2012117.2252132827
• The cube root of 4048615728000 is 15938.0622709127

Scales and comparisons

• 4,048,615,728,000 seconds is equal to 128,733 years, 23 weeks, 5 days, 8 hours.
• To count from 1 to 4,048,615,728,000 would take you about three hundred twenty-one thousand, eight hundred thirty-three 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 4048615728000 cubic inches would be around 1328.2 feet tall.

Recreational maths with 4048615728000

• 4048615728000 backwards is 0008275168404
• 4048615728000 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 4048615728000's digits is 45
• More coming soon!