450973488420

Names of 450973488420

• Cardinal: 450973488420 can be written as Four hundred fifty billion, nine hundred seventy-three million, four hundred eighty-eight thousand, four hundred twenty.

Scientific notation

• Scientific notation: 4.5097348842 × 10¹¹

Factors of 450973488420

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 84

Divisors of 450973488420

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 3 4 5 6 7 9 10 12 13 14 15 17 18 20 21 26 28 30 34 35 36 37 39 42 45 49 51 52 60 63 65 68 70 74 78 84 85 90 91 98 102 105 111 117 119 126 130 140 147 148 153 156 169 170 180 182 185 195 196 204 210 221 222 234 238 245 252 255 259 260 273 294 306 315 333 338 340 357 364 370 390 420 441 442 444 455 468 476 481 490 507 510 518 546 555 585 588 595 612 629 630 637 663 666 676 714 735 740 765 777 780 819 833 845 882 884 910 962 980 1014 1020 1036 1071 1092 1105 1110 1170 1183 1190 1258 1260 1274 1295 1326 1332 1365 1369 1428 1443 1470 1521 1530 1547 1554 1638 1665 1666 1690 1764 1785 1813 1820 1887 1911 1924 1989 2028 2142 2197 2205 2210 2220 2331 2340 2366 2380 2405 2499 2516 2535 2548 2590 2652 2730 2738 2873 2886 2940 3042 3060 3094 3108 3145 3185 3276 3315 3330 3332 3367 3380 3549 3570 3626 3774 3822 3885 3978 4095 4107 4165 4284 4329 4394 4403 4410 4420 4641 4662 4732 4810 4998 5070 5180 5355 5439 5460 5476 5661 5733 5746 5772 5915 6084 6188 6253 6290 6370 6591 6630 6660 6734 6845 7098 7140 7215 7252 7497 7548 7605 7644 7735 7770 7956 8177 8190 8214 8281 8330 8619 8658 8788 8806 8820 9065 9282 9324 9435 9555 9583 9620 9945 9996 10101 10140 10647 10710 10829 10878 10985 11322 11466 11492 11655 11830 12321 12495 12506 12580 12740 13182 13209 13260 13468 13690 13923 14196 14365 14430 14994 15210 15379 15470 15540 16317 16354 16380 16428 16562 16660 16835 17238 17316 17612 17745 17797 18130 18564 18759 18870 19110 19166 19773 19890 20111 20202 20535 21294 21420 21645 21658 21756 21970 22015 22644 22932 23205 23273 23310 23569 23660 24531 24642 24843 24990 25012 25857 26364 26418 27195 27380 27846 28305 28665 28730 28749 28860 29988 30303 30420 30758 30821 30940 31265 32487 32634 32708 32955 33124 33670 34476 35490 35594 36260 37349 37485 37518 37740 38220 38332 39546 39627 39780 40222 40404 40885 41070 41405 42588 43095 43290 43316 43771 43940 44030 46137 46410 46546 46620 47138 47915 49062 49284 49686 49980 50505 51714 52836 53235 53391 54145 54390 55692 56277 56610 57239 57330 57460 57498 60333 60606 61516 61605 61642 62530 64974 65268 65910 66045 67081 67340 69615 69819 70707 70980 71188 73593 74529 74698 74970 75036 76895 79092 79254 80444 81289 81585 81770 82140 82810 86190 86247 86580 87542 88060 88985 92274 92463 92820 93092 93795 94276 95830 97461 98124 98865 99372 100555 101010 103428 106301 106470 106782 107653 108290 108780 112047 112554 113220 114478 114660 114996 116365 117845 120666 121212 122655 123210 123284 124215 124579 125060 129285 129948 131313 131820 132090 134162 138411 139230 139638 140777 141414 143745 147186 149058 149396 149940 151515 153790 154105 158508 160173 162435 162578 162911 163170 163540 165620 171717 172380 172494 175084 177970 180999 184548 184926 186745 187590 191660 194922 197730 198135 201110 201243 202020 209457 212121 212602 212940 213564 215306 216580 218855 224094 225108 228956 230685 231361 232730 235690 241332 243867 245310 246420 248430 249158 258570 261443 262626 264180 266955 268324 276822 277389 278460 279276 281385 281554 282828 286195 287490 294372 298116 301665 302549 303030 306397 307580 308210 318903 320346 322959 324870 325156 325822 326340 335405 336141 343434 344988 349095 353535 355940 361998 367965 369852 372645 373490 373737 375180 389844 393939 395460 396270 400673 402220 402486 406445 418914 422331 424242 425204 430612 431235 437710 448188 461370 462315 462722 465460 471380 487305 487734 488733 490620 496860 498316 515151 517140 522886 525252 531505 533910 538265 553644 554778 560235 562770 563108 569023 572390 574980 603330 603729 605098 606060 612794 616420 622895 637806 640692 645918 649740 651644 656565 670810 672282 686868 692055 694083 698190 703885 707070 723996 731601 735930 744107 745290 746980 747474 784329 787878 792540 800865 801346 804972 812890 814555 837828 844662 848484 858585 862470 872053 875420 904995 907647 919191 922740 924630 925444 956709 968877 974610 975468 977466 1006215 1030302 1045772 1047285 1060605 1063010 1067820 1076530 1109556 1120470 1121211 1125540 1138046 1140377 1144780 1156805 1202019 1206660 1207458 1210196 1219335 1225588 1245790 1266993 1275612 1291836 1307215 1313130 1341620 1344564 1381913 1384110 1386945 1388166 1396380 1407770 1414140 1463202 1466199 1471860 1488214 1490580 1494948 1512745 1531985 1568658 1575756 1594515 1601730 1602692 1614795 1619527 1625780 1629110 1680705 1689324 1707069 1717170 1724940 1744106 1809990 1815294 1830101 1838382 1849260 1868685 1913418 1937754 1949220 1954932 1969695 2003365 2012430 2060604 2082249 2094570 2111655 2117843 2121210 2126020 2153060 2232321 2240940 2242422 2276092 2280754 2313610 2352987 2404038 2414916 2438670 2443665 2491580 2533986 2575755 2614430 2616159 2626260 2722941 2757573 2763826 2768220 2773890 2776332 2815540 2845115 2926404 2932398 2976428 3007693 3018645 3025490 3063970 3137316 3189030 3203460 3229590 3239054 3258220 3361410 3414138 3421131 3434340 3470415 3488212 3606057 3619980 3630588 3658005 3660202 3676764 3720535 3737370 3826836 3875508 3921645 3933137 3939390 3983161 4006730 4024860 4145739 4164498 4189140 4223310 4235686 4242420 4360265 4464642 4484844 4538235 4561508 4595955 4627220 4705974 4783545 4808076 4844385 4858581 4877340 4887330 5067972 5121207 5151510 5208749 5228860 5232318 5445882 5490303 5515146 5527652 5547780 5606055 5690230 5701885 5864796 6010095 6015386 6037290 6050980 6127940 6334965 6353529 6378060 6459180 6478108 6696963 6722820 6828276 6842262 6909565 6940830 7212114 7316010 7320404 7330995 7441070 7474740 7843290 7848477 7866274 7878780 7966322 8013460 8097635 8291478 8328996 8446620 8471372 8535345 8720530 8929284 9023079 9076470 9150505 9191910 9411948 9567090 9673391 9688770 9717162 9774660 10242414 10263393 10303020 10411245 10417498 10464636 10589215 10891764 10980606 11030292 11161605 11212110 11336689 11380460 11403770 11764935 11799411 11949483 12020190 12030772 12074580 12437217 12669930 12707058 13080795 13393926 13614705 13684524 13787865 13819130 13881660 14424228 14575743 14632020 14661990 14824901 14882140 15038465 15626247 15686580 15696954 15732548 15932644 16195270 16470909 16582956 17070690 17105655 17441060 18030285 18046158 18152940 18301010 18383820 19060587 19134180 19346782 19377540 19434324 19665685 19915805 20484828 20526786 20728695 20822490 20834996 21053851 21178430 21961212 22323210 22424220 22673378 22807540 23529870 23598822 23898966 24040380 24292905 24874434 25339860 25414116 25606035 26043745 26161590 26787852 27069237 27229410 27451515 27531959 27575730 27638260 29020173 29151486 29323980 29649802 30076930 31252494 31393908 31767645 32390540 32941818 33484815 34010067 34141380 34211310 35398233 35848449 36060570 36092316 36602020 38121174 38693564 39242385 39331370 39831610 41053572 41457390 41644980 42107702 42356860 44474703 44646420 45115395 45346756 46878741 47059740 47197644 47797932 48366955 48585810 49748868 51130781 51212070 51316965 52087490 52323180 54138474 54458820 54903030 55063918 55151460 56683445 58040346 58302972 58997055 59299604 59747415 60153860 62186085 62504988 63161553 63535290 65883636 66969630 67713737 68020134 68422620 70796466 71696898 72121140 72878715 74124505 76242348 78131235 78484770 78662740 79663220 82354545 82595877 82914780 84215404 87060519 88949406 90230790 93757482 95302935 96733910 97171620 102030201 102261562 102424140 102633930 104174980 105269255 108276948 109806060 110127836 113366890 116080692 117994110 119494830 124372170 126323106 127070580 133424109 133939260 135346185 135427474 136040268 137659795 141592932 143393796 145100865 145757430 147376957 148249010 153392343 156262470 156969540 164709090 165191754 170050335 174121038 176991165 177898812 179242245 180461580 187514964 189484659 190605870 192723713 193467820 203141211 204060402 204523124 205267860 210538510 222373515 226733780 234393705 235988220 238989660 247787631 248744340 252646212 255653905 266848218 270692370 270854948 275319590 290201730 291514860 294753914 296498020 306784686 312524940 315807765 329418180 330383508 338568685 340100670 348242076 353982330 357915467 358484490 378969318 381211740 385447426 406282422 408120804 412979385 421077020 435302595 442130871 444747030 460177029 468787410 495575262 510151005 511307810 533696436 541384740 550639180 578171139 580403460 589507828 609423633 613569372 631615530 667120545 677137370 680201340 707964660 715830934 716968980 736884785 757938636 766961715 770894852 812564844 825958770 870605190 884261742 889494060 920354058 937574820 947423295 963618565 991150524 1015706055 1020302010 1022615620 1073746401 1156342278 1218847266 1238938155 1263231060 1326392613 1334241090 1354274740 1431661868 1473769570 1533923430 1651917540 1734513417 1741210380 1768523484 1789577335 1840708116 1894846590 1927237130 2031412110 2040604020 2147492802 2210654355 2300885145 2312684556 2437694532 2477876310 2505408269 2652785226 2668482180 2890855695 2947539140 3047118165 3067846860 3221239203 3469026834 3579154670 3789693180 3854474260 4062824220 4294985604 4421308710 4601770290 4955752620 5010816538 5305570452 5368732005 5781711390 6094236330 6442478406 6631963065 6938053668 7158309340 7516224807 8672567085 8842617420 9203540580 10021633076 10737464010 11563422780 12188472660 12527041345 12884956812 13263926130 15032449614 16106196015 17345134170 21474928020 22548674421 25054082690 26527852260 30064899228 32212392030 34690268340 37581124035 45097348842 50108165380 64424784060 75162248070 90194697684 112743372105 150324496140 225486744210 450973488420
• Sum of all divisors σ(n): 1875905937360
• Sum of proper divisors (its aliquot sum) s(n): 1424932448940
• 450973488420 is an abundant number, because the sum of its proper divisors (1424932448940) is greater than itself. Its abundance is 973958960520

Bases of 450973488420

• Binary: 110100100000000000111010101010100100100₂
• Hexadecimal: 0x69001D5524
• Base-36: 5R69YYP0

Squares and roots of 450973488420

• 450973488420 squared (450973488420²) is 203377087257703874096400
• 450973488420 cubed (450973488420³) is 91717674505305447620601983363688000
• The square root of 450973488420 is 671545.5966797787
• The cube root of 450973488420 is 7668.6162207239

Scales and comparisons

• 450,973,488,420 seconds is equal to 14,339 years, 29 weeks, 1 day, 13 hours, 27 minutes.
• To count from 1 to 450,973,488,420 would take you about twenty-eight thousand, six hundred seventy-nine 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 450973488420 cubic inches would be around 639.1 feet tall.

Recreational maths with 450973488420

• 450973488420 backwards is 024884379054
• The number of decimal digits it has is: 12
• The sum of 450973488420's digits is 54
• More coming soon!