428814238451200

Names of 428814238451200

• Cardinal: 428814238451200 can be written as Four hundred twenty-eight trillion, eight hundred fourteen billion, two hundred thirty-eight million, four hundred fifty-one thousand, two hundred.

Scientific notation

• Scientific notation: 4.288142384512 × 10¹⁴

Factors of 428814238451200

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 262827

Divisors of 428814238451200

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 19 20 25 28 32 35 38 40 49 50 56 64 70 76 80 95 98 100 112 128 133 137 140 152 160 175 190 196 200 224 245 256 266 274 280 304 320 350 380 392 400 448 475 490 512 532 548 560 608 640 665 685 700 760 784 800 896 931 950 959 980 1064 1096 1120 1216 1225 1280 1330 1370 1400 1520 1568 1600 1792 1862 1900 1918 1960 2128 2192 2240 2432 2450 2560 2603 2660 2740 2800 3040 3136 3200 3325 3425 3584 3724 3800 3836 3920 4256 4384 4480 4655 4795 4864 4900 5206 5320 5480 5600 6080 6272 6400 6650 6713 6850 7448 7600 7672 7840 8512 8768 8960 9310 9590 9728 9800 10412 10640 10960 11200 12160 12544 12800 13015 13300 13426 13700 14896 15200 15344 15680 17024 17536 17920 18221 18620 19180 19600 20824 21280 21920 22400 23275 23975 24320 25088 26030 26600 26852 27400 29792 30400 30688 31360 33565 34048 35072 36442 37240 38360 39200 41648 42560 43840 44800 46550 47950 48640 52060 53200 53704 54800 59584 60800 61376 62720 65075 67130 68096 70144 72884 74480 76720 78400 83296 85120 87680 89600 91105 93100 95900 104120 106400 107408 109600 119168 121600 122752 125440 127547 130150 134260 145768 148960 153440 156800 166592 167825 170240 175360 182210 186200 191800 208240 212800 214816 219200 238336 243200 245504 255094 260300 262657 268520 291536 297920 306880 313600 333184 335650 340480 350720 364420 372400 383600 416480 425600 429632 438400 455525 476672 491008 510188 520600 525314 537040 583072 595840 613760 627200 637735 666368 671300 728840 744800 767200 832960 851200 859264 876800 911050 1020376 1041200 1050628 1074080 1166144 1191680 1227520 1275470 1313285 1332736 1342600 1457680 1489600 1534400 1665920 1702400 1718528 1753600 1822100 1838599 2040752 2082400 2101256 2148160 2332288 2383360 2455040 2550940 2626570 2685200 2915360 2979200 3068800 3188675 3331840 3437056 3644200 3677198 4081504 4164800 4202512 4296320 4664576 4990483 5101880 5253140 5370400 5830720 5958400 6137600 6377350 6566425 6663680 7288400 7354396 8163008 8329600 8405024 8592640 9192995 9329152 9980966 10203760 10506280 10740800 11661440 11916800 12275200 12754700 12870193 13132850 14576800 14708792 16326016 16659200 16810048 17185280 18385990 19961932 20407520 21012560 21481600 23322880 24952415 25509400 25740386 26265700 29153600 29417584 32652032 33318400 33620096 34933381 35984009 36771980 39923864 40815040 42025120 42963200 45964975 46645760 49904830 51018800 51480772 52531400 58307200 58835168 64350965 65304064 67240192 69866762 71968018 73543960 79847728 81630080 84050240 85926400 91929950 99809660 102037600 102961544 105062800 116614400 117670336 124762075 128701930 134480384 139733524 143936036 147087920 159695456 163260160 168100480 174666905 179920045 183859900 199619320 204075200 205923088 210125600 233228800 235340672 244533667 249524150 251888063 257403860 279467048 287872072 294175840 319390912 321754825 326520320 336200960 349333810 359840090 367719800 399238640 408150400 411846176 420251200 470681344 489067334 499048300 503776126 514807720 558934096 575744144 588351680 638781824 643509650 672401920 683696171 698667620 719680180 735439600 798477280 816300800 823692352 840502400 873334525 899600225 941362688 978134668 998096600 1007552252 1029615440 1117868192 1151488288 1176703360 1222668335 1259440315 1277563648 1287019300 1367392342 1397335240 1439360360 1470879200 1596954560 1632601600 1647384704 1681004800 1746669050 1763216441 1799200450 1956269336 1996193200 2015104504 2059230880 2235736384 2302976576 2353406720 2445336670 2518880630 2555127296 2574038600 2734784684 2794670480 2878720720 2941758400 3193909120 3294769408 3362009600 3418480855 3493338100 3526432882 3598400900 3912538672 3992386400 4030209008 4118461760 4471472768 4605953152 4706813440 4785873197 4890673340 5037761260 5148077200 5469569368 5589340960 5757441440 5883516800 6113341675 6297201575 6387818240 6589538816 6836961710 6986676200 7052865764 7196801800 7825077344 7984772800 8060418016 8236923520 8816082205 8942945536 9211906304 9571746394 9781346680 10075522520 10296154400 10939138736 11178681920 11514882880 11767033600 12226683350 12594403150 12775636480 13673923420 13973352400 14105731528 14393603600 15650154688 15969545600 16120836032 16473847040 17092404275 17632164410 17885891072 18423812608 19143492788 19562693360 20151045040 20592308800 21878277472 22357363840 23029765760 23534067200 23929365985 24453366700 25188806300 27347846840 27946704800 28211463056 28787207200 31300309376 31939091200 32241672064 32947694080 33501112379 34184808550 35264328820 38286985576 39125386720 40302090080 41184617600 43756554944 44080411025 44714727680 46059531520 47858731970 48906733400 50377612600 54695693680 55893409600 56422926112 57574414400 62600618752 63878182400 64483344128 67002224758 68369617100 70528657640 76573971152 78250773440 80604180160 82369235200 87513109888 88160822050 89429455360 92119063040 95717463940 97813466800 100755225200 109391387360 111786819200 112845852224 115148828800 119646829925 125201237504 128966688256 134004449516 136739234200 141057315280 153147942304 156501546880 161208360320 164738470400 167505561895 175026219776 176321644100 191434927880 195626933600 201510450400 218782774720 223573638400 225691704448 230297657600 239293659850 268008899032 273478468400 282114630560 306295884608 313003093760 322416720640 335011123790 350052439552 352643288200 382869855760 391253867200 403020900800 437565549440 447147276800 451383408896 460595315200 478587319700 536017798064 546956936800 564229261120 612591769216 626006187520 644833441280 670022247580 705286576400 765739711520 782507734400 806041801600 837527809475 875131098880 902766817792 957174639400 1072035596128 1093913873600 1128458522240 1225183538432 1340044495160 1410573152800 1531479423040 1565015468800 1612083603200 1675055618950 1750262197760 1914349278800 2144071192256 2187827747200 2256917044480 2450367076864 2680088990320 2821146305600 3062958846080 3130030937600 3224167206400 3350111237900 3828698557600 4288142384512 4375655494400 4513834088960 5360177980640 5642292611200 6125917692160 6700222475800 7657397115200 8576284769024 8751310988800 10720355961280 11284585222400 12251835384320 13400444951600 15314794230400 17152569538048 21440711922560 22569170444800 26800889903200 30629588460800 42881423845120 53601779806400 61259176921600 85762847690240 107203559612800 214407119225600 428814238451200
• Sum of all divisors σ(n): 1310424180587280
• Sum of proper divisors (its aliquot sum) s(n): 881609942136080
• 428814238451200 is an abundant number, because the sum of its proper divisors (881609942136080) is greater than itself. Its abundance is 452795703684880

Bases of 428814238451200

• Binary: 1100001100000000100011000010110111000011000000000₂
• Hexadecimal: 0x18601185B8600
• Base-36: 4802JHX24G

Squares and roots of 428814238451200

• 428814238451200 squared (428814238451200²) is 183881651098482612574781440000
• 428814238451200 cubed (428814238451200³) is 78851070180945085443139476003884105728000000
• The square root of 428814238451200 is 20707830.3656177365
• The cube root of 428814238451200 is 75408.9798827177

Scales and comparisons

• 428,814,238,451,200 seconds is equal to 13,634,966 years, 19 weeks, 2 days, 20 hours, 26 minutes, 40 seconds.
• To count from 1 to 428,814,238,451,200 would take you about thirty-four million, eighty-seven thousand, four hundred fifteen 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 428814238451200 cubic inches would be around 6284.1 feet tall.

Recreational maths with 428814238451200

• 428814238451200 backwards is 002154832418824
• The number of decimal digits it has is: 15
• The sum of 428814238451200's digits is 52
• More coming soon!