428516728030720

Names of 428516728030720

• Cardinal: 428516728030720 can be written as Four hundred twenty-eight trillion, five hundred sixteen billion, seven hundred twenty-eight million, thirty thousand, seven hundred twenty.

Scientific notation

• Scientific notation: 4.2851672803072 × 10¹⁴

Factors of 428516728030720

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 124

Divisors of 428516728030720

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 28 32 35 40 43 56 64 67 70 80 86 112 128 134 140 160 172 215 224 256 268 280 301 320 335 344 430 448 469 512 536 560 602 640 670 688 860 896 938 1072 1120 1204 1280 1340 1376 1505 1720 1792 1849 1876 2144 2240 2345 2408 2560 2680 2752 2881 3010 3440 3584 3698 3752 4288 4480 4489 4690 4816 5360 5504 5762 6020 6880 7396 7504 8576 8960 8978 9245 9380 9632 10720 11008 11524 12040 12943 13760 14405 14792 15008 17152 17920 17956 18490 18760 19264 20167 21440 22016 22445 23048 24080 25886 27520 28810 29584 30016 31423 34304 35912 36980 37520 38528 40334 42880 44890 46096 48160 51772 55040 57620 59168 60032 62846 64715 71824 73960 75040 77056 79507 80668 85760 89780 92192 96320 100835 103544 110080 115240 118336 120064 123883 125692 129430 143648 147920 150080 154112 157115 159014 161336 171520 179560 184384 192640 193027 201670 207088 230480 236672 240128 247766 251384 258860 287296 295840 300160 300763 314230 318028 322672 359120 368768 385280 386054 397535 403340 414176 460960 473344 495532 502768 517720 556549 574592 591680 600320 601526 619415 628460 636056 645344 718240 737536 770560 772108 795070 806680 828352 867181 921920 946688 965135 991064 1005536 1035440 1113098 1149184 1183360 1200640 1203052 1238830 1256920 1272112 1290688 1351189 1436480 1475072 1503815 1544216 1590140 1613360 1656704 1734362 1843840 1930270 1982128 2011072 2070880 2105341 2226196 2298368 2366720 2406104 2477660 2513840 2544224 2581376 2702378 2782745 2872960 3007630 3088432 3180280 3226720 3313408 3468724 3687680 3860540 3964256 4022144 4141760 4210682 4335905 4452392 4733440 4812208 4955320 5027680 5088448 5162752 5326969 5404756 5565490 5745920 6015260 6176864 6360560 6453440 6626816 6755945 6937448 7375360 7721080 7928512 8044288 8283520 8300161 8421364 8671810 8904784 9624416 9910640 10055360 10176896 10325504 10526705 10653938 10809512 11130980 11491840 12030520 12353728 12721120 12906880 12932809 13511890 13874896 15442160 15857024 16088576 16567040 16600322 16842728 17343620 17809568 19248832 19821280 20110720 20353792 21053410 21307876 21619024 22261960 24061040 24707456 25442240 25813760 25865618 26634845 27023780 27749792 30884320 31714048 33134080 33200644 33685456 34687240 35619136 37288783 38497664 39642560 40221440 40707584 41500805 42106820 42615752 43238048 44523920 48122080 49414912 50884480 51627520 51731236 53269690 54047560 55499584 58101127 61768640 63428096 64664045 66401288 67370912 69374480 71238272 74577566 76995328 79285120 80442880 83001610 84213640 85231504 86476096 89047840 90529663 96244160 98829824 101768960 103462472 106539380 108095120 110999168 116202254 123537280 129328090 132802576 134741824 138748960 142476544 149155132 153990656 158570240 166003220 168427280 170463008 172952192 178095680 181059326 186443915 192488320 203537920 206924944 213078760 216190240 221998336 232404508 247074560 258656180 265605152 269483648 277497920 284953088 290505635 298310264 317140480 332006440 336854560 340926016 345904384 356191360 356906923 362118652 372887830 384976640 413849888 426157520 432380480 443996672 452648315 464809016 494149120 517312360 531210304 538967296 554995840 556110787 581011270 596620528 664012880 673709120 681852032 691808768 712382720 713813846 724237304 745775660 769953280 827699776 852315040 864760960 905296630 929618032 1034624720 1062420608 1077934592 1109991680 1112221574 1162022540 1193241056 1328025760 1347418240 1363704064 1424765440 1427627692 1448474608 1491551320 1655399552 1704630080 1729521920 1784534615 1810593260 1859236064 2069249440 2124841216 2219983360 2224443148 2324045080 2386482112 2498348461 2656051520 2694836480 2727408128 2780553935 2855255384 2896949216 2983102640 3310799104 3409260160 3459043840 3569069230 3621186520 3718472128 3892775509 4138498880 4249682432 4448886296 4648090160 4772964224 4996696922 5312103040 5389672960 5561107870 5710510768 5793898432 5966205280 6621598208 6818520320 7138138460 7242373040 7436944256 7785551018 8276997760 8897772592 9296180320 9545928448 9993393844 10624206080 11122215740 11421021536 11587796864 11932410560 12491742305 13637040640 14276276920 14484746080 14873888512 15571102036 16553995520 17795545184 18592360640 19091856896 19463877545 19986787688 21248412160 22244431480 22842043072 23175593728 23864821120 23912763841 24983484610 28552553840 28969492160 29747777024 31142204072 33107991040 35591090368 37184721280 38927755090 39973575376 44488862960 45684086144 46351187456 47729642240 47825527682 49966969220 57105107680 57938984320 62284408144 71182180736 74369442560 77855510180 79947150752 88977725920 91368172288 95459284480 95651055364 99933938440 114210215360 115877968640 119563819205 124568816288 142364361472 148738885120 155711020360 159894301504 167389346887 177955451840 182736344576 191302110728 199867876880 228420430720 231755937280 239127638410 249137632576 284728722944 311422040720 319788603008 334778693774 355910903680 382604221456 399735753760 456840861440 478255276820 498275265152 622844081440 639577206016 669557387548 711821807360 765208442912 799471507520 836946734435 913681722880 956510553640 996550530304 1245688162880 1279154412032 1339114775096 1423643614720 1530416885824 1598943015040 1673893468870 1913021107280 1993101060608 2491376325760 2678229550192 3060833771648 3197886030080 3347786937740 3826042214560 4982752651520 5356459100384 6121667543296 6395772060160 6695573875480 7652084429120 9965505303040 10712918200768 12243335086592 13391147750960 15304168858240 21425836401536 26782295501920 30608337716480 42851672803072 53564591003840 61216675432960 85703345606144 107129182007680 214258364015360 428516728030720
• Sum of all divisors σ(n): 1220384068992000
• Sum of proper divisors (its aliquot sum) s(n): 791867340961280
• 428516728030720 is an abundant number, because the sum of its proper divisors (791867340961280) is greater than itself. Its abundance is 363350612930560

Bases of 428516728030720

• Binary: 1100001011011101111010011010110101100011000000000₂
• Hexadecimal: 0x185BBD35AC600
• Base-36: 47W9V7W8HS

Squares and roots of 428516728030720

• 428516728030720 squared (428516728030720²) is 183626586202154051769263718400
• 428516728030720 cubed (428516728030720³) is 78687063898798009544237672048233176629248000
• The square root of 428516728030720 is 20700645.5945393161
• The cube root of 428516728030720 is 75391.5363172267

Scales and comparisons

• 428,516,728,030,720 seconds is equal to 13,625,506 years, 24 weeks, 4 hours, 58 minutes, 40 seconds.
• To count from 1 to 428,516,728,030,720 would take you about thirty-four million, sixty-three thousand, seven hundred sixty-six 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 428516728030720 cubic inches would be around 6282.6 feet tall.

Recreational maths with 428516728030720

• 428516728030720 backwards is 027030827615824
• The number of decimal digits it has is: 15
• The sum of 428516728030720's digits is 55
• More coming soon!