457132465920

Names of 457132465920

• Cardinal: 457132465920 can be written as Four hundred fifty-seven billion, one hundred thirty-two million, four hundred sixty-five thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 4.5713246592 × 10¹¹

Factors of 457132465920

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 1326

Divisors of 457132465920

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 29 30 32 39 40 48 52 58 60 64 65 78 80 87 96 104 116 120 128 130 145 156 160 174 192 195 208 232 240 256 260 290 312 320 337 348 377 384 390 416 435 464 480 520 580 624 640 674 696 754 768 780 832 870 928 937 960 1011 1040 1131 1160 1248 1280 1348 1392 1508 1560 1664 1685 1740 1856 1874 1885 1920 2022 2080 2262 2320 2496 2696 2784 2811 3016 3120 3328 3370 3480 3712 3748 3770 3840 4044 4160 4381 4524 4640 4685 4992 5055 5392 5568 5622 5655 6032 6240 6740 6960 7424 7496 7540 8088 8320 8762 9048 9280 9370 9773 9984 10110 10784 11136 11244 11310 12064 12181 12480 13143 13480 13920 14055 14992 15080 16176 16640 17524 18096 18560 18740 19546 20220 21568 21905 22272 22488 22620 24128 24362 24960 26286 26960 27173 27840 28110 29319 29984 30160 32352 35048 36192 36543 37120 37480 39092 40440 43136 43810 44976 45240 48256 48724 48865 49920 52572 53920 54346 55680 56220 58638 59968 60320 60905 64704 65715 70096 72384 73086 74960 78184 80880 81519 86272 87620 89952 90480 96512 97448 97730 105144 107840 108692 111360 112440 117276 119936 120640 121810 127049 129408 131430 135865 140192 144768 146172 146595 149920 156368 161760 163038 175240 179904 180960 182715 194896 195460 210288 215680 217384 224880 234552 239872 241280 243620 254098 258816 262860 271730 280384 289536 292344 293190 299840 312736 315769 323520 326076 350480 353249 359808 361920 365430 381147 389792 390920 407595 420576 431360 434768 449760 469104 482560 487240 508196 525720 543460 560768 584688 586380 599680 625472 631538 635245 647040 652152 700960 706498 719616 723840 730860 762294 779584 781840 815190 841152 869536 899520 938208 947307 974480 1016392 1051440 1059747 1086920 1121536 1169376 1172760 1199360 1250944 1263076 1270490 1294080 1304304 1401920 1412996 1447680 1461720 1524588 1559168 1563680 1578845 1630380 1682304 1739072 1766245 1799040 1876416 1894614 1905735 1948960 2032784 2102880 2119494 2173840 2338752 2345520 2501888 2526152 2540980 2608608 2803840 2825992 2923440 3049176 3118336 3127360 3157690 3260760 3364608 3478144 3532490 3598080 3752832 3789228 3811470 3897920 4065568 4104997 4205760 4238988 4347680 4677504 4691040 4736535 5052304 5081960 5217216 5298735 5607680 5651984 5846880 6098352 6254720 6315380 6521520 6956288 7064980 7505664 7578456 7622940 7795840 8131136 8209994 8411520 8477976 8695360 9157301 9355008 9382080 9473070 10104608 10163920 10434432 10597470 11303968 11693760 12196704 12314991 12509440 12630760 13043040 14129960 15156912 15245880 15591680 16262272 16419988 16823040 16955952 17390720 18314602 18764160 18946140 20209216 20327840 20524985 20868864 21194940 22607936 23387520 24393408 24629982 25261520 26086080 27471903 28259920 30313824 30491760 32524544 32839976 33911904 34781440 36629204 37528320 37892280 40418432 40655680 41049970 42389880 45215872 45786505 46775040 48786816 49259964 50523040 52172160 54943806 56519840 60627648 60983520 61574955 65679952 67823808 73258408 75784560 80836864 81311360 82099940 84779760 90431744 91573010 97573632 98519928 101046080 104344320 109887612 113039680 119044913 121255296 121967040 123149910 131359904 135647616 137359515 146516816 151569120 162622720 164199880 169559520 183146020 197039856 202092160 219775224 226079360 238089826 242510592 243934080 246299820 262719808 271295232 274719030 293033632 303138240 328399760 339119040 357134739 366292040 394079712 404184320 439550448 452158720 476179652 487868160 492599640 525439616 549438060 586067264 595224565 606276480 656799520 678238080 714269478 732584080 788159424 879100896 952359304 985199280 1050879232 1098876120 1172134528 1190449130 1212552960 1313599040 1356476160 1428538956 1465168160 1576318848 1758201792 1785673695 1904718608 1970398560 2197752240 2344269056 2380898260 2627198080 2857077912 2930336320 3152637696 3516403584 3571347390 3809437216 3940797120 4395504480 4761796520 5254396160 5714155824 5860672640 7032807168 7142694780 7618874432 7881594240 8791008960 9523593040 11428311648 11721345280 14285389560 15237748864 15763188480 17582017920 19047186080 22856623296 28570779120 30475497728 35164035840 38094372160 45713246592 57141558240 76188744320 91426493184 114283116480 152377488640 228566232960 457132465920
• Sum of all divisors σ(n): 1633055598720
• Sum of proper divisors (its aliquot sum) s(n): 1175923132800
• 457132465920 is an abundant number, because the sum of its proper divisors (1175923132800) is greater than itself. Its abundance is 718790666880

Bases of 457132465920

• Binary: 110101001101111001101111101111100000000₂
• Hexadecimal: 0x6A6F37DF00
• Base-36: 5U04V85C

Squares and roots of 457132465920

• 457132465920 squared (457132465920²) is 208970091398099961446400
• 457132465920 cubed (457132465920³) is 95527013184341215778649761906688000
• The square root of 457132465920 is 676115.7193262113
• The cube root of 457132465920 is 7703.3687734205

Scales and comparisons

• 457,132,465,920 seconds is equal to 14,535 years, 20 weeks, 5 days, 32 minutes.
• To count from 1 to 457,132,465,920 would take you about twenty-nine thousand and seventy 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 457132465920 cubic inches would be around 641.9 feet tall.

Recreational maths with 457132465920

• 457132465920 backwards is 029564231754
• 457132465920 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 457132465920's digits is 48
• More coming soon!