4148425879416000

Names of 4148425879416000

• Cardinal: 4148425879416000 can be written as Four quadrillion, one hundred forty-eight trillion, four hundred twenty-five billion, eight hundred seventy-nine million, four hundred sixteen thousand.

Scientific notation

• Scientific notation: 4.148425879416 × 10¹⁵

Factors of 4148425879416000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 580404

Divisors of 4148425879416000

• Number of divisors d(n): 1344
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 32 35 36 39 40 42 45 48 50 52 56 60 63 64 65 70 72 75 78 80 84 90 91 96 100 104 105 112 117 120 125 126 130 140 144 150 156 160 168 175 180 182 192 195 200 208 210 224 225 234 240 250 252 260 273 280 288 300 312 315 320 325 336 350 360 364 375 390 400 416 420 448 450 455 468 480 500 504 520 525 546 560 576 585 600 624 630 650 672 700 720 728 750 780 800 819 832 840 875 900 910 936 960 975 1000 1008 1040 1050 1092 1093 1120 1125 1170 1200 1248 1260 1300 1344 1365 1400 1440 1456 1500 1560 1575 1600 1625 1638 1680 1750 1800 1820 1872 1950 2000 2016 2080 2100 2184 2186 2240 2250 2275 2340 2400 2496 2520 2600 2625 2730 2800 2880 2912 2925 3000 3120 3150 3250 3276 3279 3360 3500 3600 3640 3744 3900 4000 4032 4095 4160 4200 4368 4372 4500 4550 4680 4800 4875 5040 5200 5250 5460 5465 5600 5824 5850 6000 6240 6300 6500 6552 6558 6720 6825 7000 7200 7280 7488 7651 7800 7875 8000 8190 8400 8736 8744 9000 9100 9360 9750 9837 10080 10400 10500 10920 10930 11200 11375 11700 12000 12480 12600 13000 13104 13116 13650 14000 14209 14400 14560 14625 15302 15600 15750 16380 16395 16800 17472 17488 18000 18200 18720 19500 19674 20160 20475 20800 21000 21840 21860 22750 22953 23400 24000 25200 26000 26208 26232 27300 27325 28000 28418 29120 29250 30604 31200 31500 32760 32790 33600 34125 34976 36000 36400 37440 38255 39000 39348 40950 42000 42627 43680 43720 45500 45906 46800 49185 50400 52000 52416 52464 54600 54650 56000 56836 58500 61208 62400 63000 65520 65580 68250 68859 69952 71045 72000 72800 76510 78000 78696 81900 81975 84000 85254 87360 87440 91000 91812 93600 98370 99463 100800 102375 104000 104928 109200 109300 113672 114765 117000 122416 126000 127881 131040 131160 136500 136625 137718 142090 145600 153020 156000 157392 163800 163950 168000 170508 174880 182000 183624 187200 191275 196740 198926 204750 209856 213135 218400 218600 227344 229530 234000 244832 245925 252000 255762 262080 262320 273000 273250 275436 284180 298389 306040 312000 314784 327600 327900 341016 344295 349760 355225 364000 367248 382550 393480 397852 409500 409875 426270 436800 437200 454688 459060 468000 489664 491850 497315 504000 511524 524640 546000 546500 550872 568360 573825 579281 596778 612080 629568 639405 655200 655800 682032 688590 710450 728000 734496 765100 786960 795704 819000 819750 852540 874400 895167 909376 918120 936000 956375 983700 994630 1023048 1049280 1065675 1092000 1093000 1101744 1136720 1147650 1158562 1193556 1224160 1229625 1278810 1310400 1311600 1364064 1377180 1420900 1468992 1491945 1530200 1573920 1591408 1638000 1639500 1705080 1721475 1737843 1748800 1776125 1790334 1836240 1912750 1967400 1989260 2046096 2131350 2184000 2186000 2203488 2273440 2295300 2317124 2387112 2448320 2459250 2486575 2557620 2623200 2728128 2754360 2841800 2869125 2896405 2983890 3060400 3147840 3182816 3197025 3276000 3279000 3410160 3442950 3475686 3552250 3580668 3672480 3825500 3934800 3978520 4054967 4092192 4262700 4372000 4406976 4475835 4546880 4590600 4634248 4774224 4918500 4973150 5115240 5213529 5246400 5328375 5508720 5683600 5738250 5792810 5967780 6120800 6365632 6394050 6552000 6558000 6820320 6885900 6951372 7104500 7161336 7344960 7459725 7530653 7651000 7869600 7957040 8109934 8184384 8525400 8607375 8689215 8744000 8951670 9181200 9268496 9548448 9837000 9946300 10230480 10427058 10656750 11017440 11367200 11476500 11585620 11935560 12164901 12241600 12432875 12788100 13116000 13640640 13771800 13902744 14209000 14322672 14482025 14919450 15061306 15302000 15739200 15914080 15985125 16219868 17050800 17214750 17378430 17903340 18362400 18536992 19096896 19674000 19892600 20274835 20460960 20854116 21313500 22034880 22379175 22591959 22734400 22953000 23171240 23871120 24329802 24865750 25576200 26067645 26232000 27543600 27805488 28418000 28645344 28964050 29838900 30122612 30604000 31828160 31970250 32439736 34101600 34429500 34756860 35806680 36494703 36724800 37073984 37298625 37653265 39348000 39785200 40549670 40921920 41708232 42627000 43446075 44758350 45183918 45906000 46342480 47742240 48659604 49731500 51152400 52135290 52714571 55087200 55610976 56836000 57290688 57928100 59677800 60245224 60824505 61208000 63940500 64879472 67775877 68203200 68859000 69513720 71613360 72410125 72989406 74597250 75306530 78696000 79570400 81099340 83416464 85254000 86892150 89516700 90367836 91812000 92684960 95484480 97319208 99463000 101374175 102304800 104270580 105429142 110174400 111221952 111895875 112959795 113672000 115856200 119355600 120490448 121649010 127881000 129758944 130338225 135551754 137718000 139027440 143226720 144820250 145978812 149194500 150613060 158143713 159140800 162198680 166832928 170508000 173784300 179033400 180735672 182473515 183624000 185369920 188266325 194638416 198926000 202748350 204609600 208541160 210858284 217230375 223791750 225919590 231712400 238711200 240980896 243298020 255762000 259517888 260676450 263572855 271103508 275436000 278054880 286453440 289640500 291957624 298389000 301226120 304122525 316287426 324397360 333665856 338879385 341016000 347568600 358066800 361471344 364947030 376532650 389276832 397852000 405496700 417082320 421716568 434460750 447583500 451839180 463424800 474431139 477422400 481961792 486596040 506870875 511524000 521352900 527145710 542207016 550872000 556109760 564798975 579281000 583915248 596778000 602452240 608245050 632574852 633154133 648794720 651691125 677758770 695137200 716133600 722942688 729894060 753065300 778553664 790718565 795704000 810993400 834164640 843433136 868921500 895167000 903678360 912367575 926849600 941331625 948862278 973192080 1013741750 1023048000 1042705800 1054291420 1084414032 1129597950 1158562000 1167830496 1193556000 1204904480 1216490100 1265149704 1266308266 1297589440 1303382250 1317864275 1355517540 1390274400 1432267200 1445885376 1459788120 1506130600 1520612625 1581437130 1621986800 1668329280 1686866272 1694396925 1737843000 1790334000 1807356720 1824735150 1882663250 1897724556 1899462399 1946384160 2027483500 2085411600 2108582840 2168828064 2259195900 2317124000 2335660992 2372155695 2387112000 2409808960 2432980200 2530299408 2532616532 2606764500 2635728550 2711035080 2780548800 2823994875 2919576240 3012261200 3041225250 3162874260 3165770665 3243973600 3373732544 3388793850 3475686000 3580668000 3614713440 3649470300 3765326500 3795449112 3798924798 3892768320 3953592825 4054967000 4170823200 4217165680 4337656128 4432078931 4518391800 4561837875 4634248000 4744311390 4865960400 5060598816 5065233064 5213529000 5271457100 5422070160 5647989750 5698387197 5839152480 6024522400 6082450500 6325748520 6331541330 6487947200 6589321375 6777587700 6951372000 7161336000 7229426880 7298940600 7530653000 7590898224 7597849596 7907185650 8109934000 8231003729 8341646400 8434331360 8471984625 8864157862 9036783600 9123675750 9488622780 9497311995 9731920800 10121197632 10130466128 10427058000 10542914200 10844140320 11295979500 11396774394 11678304960 11860778475 12049044800 12164901000 12651497040 12663082660 13178642750 13296236793 13555175400 13902744000 14597881200 15061306000 15181796448 15195699192 15814371300 15828853325 16219868000 16462007458 16868662720 16943969250 17728315724 18073567200 18247351500 18977245560 18994623990 19463841600 19767964125 20260932256 20854116000 21085828400 21688280640 22160394655 22591959000 22793548788 23721556950 24329802000 24693011187 25302994080 25326165320 26357285500 26592473586 27110350800 28491935985 29195762400 30122612000 30363592896 30391398384 31628742600 31657706650 32439736000 32924014916 33887938500 35456631448 36147134400 36494703000 37954491120 37989247980 39535928250 39888710379 40521864512 41155018645 41708232000 42171656800 44320789310 45183918000 45587097576 47443113900 47486559975 48659604000 49386022374 50605988160 50652330640 52714571000 53184947172 54220701600 56983871970 57617026103 58391524800 59303892375 60245224000 60782796768 63257485200 63315413300 65848029832 66481183965 67775877000 70913262896 72989406000 74079033561 75908982240 75978495960 79071856500 79144266625 79777420758 82310037290 84343313600 88641578620 90367836000 91174195152 94886227800 94973119950 97319208000 98772044748 101304661280 105429142000 106369894344 108441403200 110801973275 113967743940 115234052206 118607784750 121565593536 123465055935 126514970400 126630826600 131696059664 132962367930 135551754000 141826525792 142459679925 145978812000 148158067122 151817964480 151956991920 158143713000 158288533250 159554841516 164620074580 172851078309 177283157240 180735672000 182348390304 189772455600 189946239900 197544089496 199443551895 202609322560 205775093225 210858284000 212739788688 221603946550 227935487880 230468104412 237215569500 237432799875 246930111870 253029940800 253261653200 263392119328 265924735860 271103508000 283653051584 284919359850 288085130515 291957624000 296316134244 303913983840 316287426000 316577066500 319109683032 329240149160 332405919825 345702156618 354566314480 364696780608 370395167805 379544911200 379892479800 395088178992 398887103790 411550186450 421716568000 425479577376 443207893100 455870975760 460936208824 474431139000 474865599750 493860223740 506523306400 518553234927 526784238656 531849471720 542207016000 554009866375 569838719700 576170261030 592632268488 607827967680 617325279675 632574852000 633154133000 638219366064 658480298320 664811839650 691404313236 709132628960 712298399625 740790335610 759089822400 759784959600 790176357984 797774207580 823100372900 850959154752 864255391545 886415786200 911741951520 921872417648 948862278000 949731199500 987720447480 997217759475 1013046612800 1028875466125 1037106469854 1063698943440 1108019732750 1139677439400 1152340522060 1185264536976 1234650559350 1265149704000 1266308266000 1276438732128 1316960596640 1329623679300 1382808626472 1418265257920 1424596799250 1440425652575 1481580671220 1519569919200 1580352715968 1595548415160 1646200745800 1662029599125 1728510783090 1772831572400 1823483903040 1843744835296 1851975839025 1897724556000 1899462399000 1975440894960 1994435518950 2057750932250 2074212939708 2127397886880 2216039465500 2279354878800 2304681044120 2370529073952 2469301118700 2532616532000 2552877464256 2592766174635 2633921193280 2659247358600 2765617252944 2849193598500 2880851305150 2963161342440 3039139838400 3086626398375 3191096830320 3292401491600 3324059198250 3457021566180 3545663144800 3687489670592 3703951678050 3795449112000 3798924798000 3950881789920 3988871037900 4115501864500 4148425879416 4254795773760 4321276957725 4432078931000 4558709757600 4609362088240 4741058147904 4938602237400 4986088797375 5065233064000 5185532349270 5318494717200 5531234505888 5698387197000 5761702610300 5926322684880 6173252796750 6382193660640 6584802983200 6648118396500 6914043132360 7091326289600 7202128262875 7407903356100 7597849596000 7901763579840 7977742075800 8231003729000 8296851758832 8642553915450 8864157862000 9117419515200 9218724176480 9259879195125 9877204474800 9972177594750 10371064698540 10636989434400 11062469011776 11396774394000 11523405220600 11852645369760 12346505593500 12764387321280 12963830873175 13169605966400 13296236793000 13828086264720 14404256525750 14815806712200 15195699192000 15955484151600 16462007458000 16593703517664 17285107830900 17728315724000 18437448352960 18519758390250 19754408949600 19944355189500 20742129397080 21273978868800 21606384788625 22793548788000 23046810441200 23705290739520 24693011187000 25927661746350 26592473586000 27656172529440 28808513051500 29631613424400 31910968303200 32924014916000 33187407035328 34570215661800 35456631448000 37039516780500 39508817899200 39888710379000 41484258794160 43212769577250 45587097576000 46093620882400 49386022374000 51855323492700 53184947172000 55312345058880 57617026103000 59263226848800 63821936606400 64819154365875 65848029832000 69140431323600 74079033561000 79777420758000 82968517588320 86425539154500 92187241764800 98772044748000 103710646985400 106369894344000 115234052206000 118526453697600 129638308731750 138280862647200 148158067122000 159554841516000 165937035176640 172851078309000 197544089496000 207421293970800 230468104412000 259276617463500 276561725294400 296316134244000 319109683032000 345702156618000 414842587941600 460936208824000 518553234927000 592632268488000 691404313236000 829685175883200 1037106469854000 1382808626472000 2074212939708000 4148425879416000
• Sum of all divisors σ(n): 18280877993554176
• Sum of proper divisors (its aliquot sum) s(n): 14132452114138176
• 4148425879416000 is an abundant number, because the sum of its proper divisors (14132452114138176) is greater than itself. Its abundance is 9984026234722176

Bases of 4148425879416000

• Binary: 1110101111001111100010101010111010110110110011000000₂
• Hexadecimal: 0xEBCF8AAEB6CC0
• Base-36: 14UHSJFF740

Squares and roots of 4148425879416000

• 4148425879416000 squared (4148425879416000²) is 17209437277008412972501056000000
• 4148425879416000 cubed (4148425879416000³) is 71392074970128117983078195861788663296000000000
• The square root of 4148425879416000 is 64408274.9296703331
• The cube root of 4148425879416000 is 160679.7367857035

Scales and comparisons

• 4,148,425,879,416,000 seconds is equal to 131,907,111 years, 2 weeks, 1 day, 4 hours.
• To count from 1 to 4,148,425,879,416,000 would take you about three hundred ninety-five million, seven hundred twenty-one thousand, three 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 4148425879416000 cubic inches would be around 13390 feet tall.

Recreational maths with 4148425879416000

• 4148425879416000 backwards is 0006149785248414
• 4148425879416000 is a Harshad number.
• The number of decimal digits it has is: 16
• The sum of 4148425879416000's digits is 63
• More coming soon!