450189984000

Names of 450189984000

• Cardinal: 450189984000 can be written as Four hundred fifty billion, one hundred eighty-nine million, nine hundred eighty-four thousand.

Scientific notation

• Scientific notation: 4.50189984 × 10¹¹

Factors of 450189984000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 338

Divisors of 450189984000

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 71 75 80 96 100 120 125 128 142 150 160 192 200 213 240 250 256 257 284 300 320 355 375 384 400 426 480 500 514 568 600 640 710 750 768 771 800 852 960 1000 1028 1065 1136 1200 1280 1285 1420 1500 1542 1600 1704 1775 1920 2000 2056 2130 2272 2400 2570 2840 3000 3084 3200 3408 3550 3840 3855 4000 4112 4260 4544 4800 5140 5325 5680 6000 6168 6400 6425 6816 7100 7710 8000 8224 8520 8875 9088 9600 10280 10650 11360 12000 12336 12850 13632 14200 15420 16000 16448 17040 17750 18176 18247 19200 19275 20560 21300 22720 24000 24672 25700 26625 27264 28400 30840 32000 32125 32896 34080 35500 36494 38550 41120 42600 45440 48000 49344 51400 53250 54528 54741 56800 61680 64250 65792 66049 68160 71000 72988 77100 82240 85200 90880 91235 96000 96375 98688 102800 106500 109482 113600 123360 128500 132098 136320 142000 145976 154200 164480 170400 182470 192750 197376 198147 205600 213000 218964 227200 246720 257000 264196 272640 273705 284000 291952 308400 328960 330245 340800 364940 385500 396294 411200 426000 437928 454400 456175 493440 514000 528392 547410 568000 583904 616800 660490 681600 729880 771000 792588 822400 852000 875856 912350 986880 990735 1028000 1056784 1094820 1136000 1167808 1233600 1320980 1363200 1368525 1459760 1542000 1585176 1644800 1651225 1704000 1751712 1824700 1981470 2056000 2113568 2189640 2272000 2280875 2335616 2467200 2641960 2737050 2919520 3084000 3170352 3302450 3408000 3503424 3649400 3962940 4112000 4227136 4379280 4561750 4671232 4689479 4934400 4953675 5283920 5474100 5839040 6168000 6340704 6604900 6816000 6842625 7006848 7298800 7925880 8224000 8256125 8454272 8758560 9123500 9378958 9907350 10567840 10948200 11678080 12336000 12681408 13209800 13685250 14013696 14068437 14597600 15851760 16512250 16908544 17517120 18247000 18757916 19814700 21135680 21896400 23356160 23447395 24672000 24768375 25362816 26419600 27370500 28136874 29195200 31703520 33024500 35034240 36494000 37515832 39629400 42271360 43792800 46894790 49536750 50725632 52839200 54741000 56273748 58390400 63407040 66049000 70068480 70342185 72988000 75031664 79258800 84542720 87585600 93789580 99073500 105678400 109482000 112547496 116780800 117236975 126814080 132098000 140684370 145976000 150063328 158517600 175171200 187579160 198147000 211356800 218964000 225094992 234473950 253628160 264196000 281368740 291952000 300126656 317035200 350342400 351710925 375158320 396294000 422713600 437928000 450189984 468947900 528392000 562737480 583904000 586184875 600253312 634070400 703421850 750316640 792588000 875856000 900379968 937895800 1056784000 1125474960 1172369750 1200506624 1268140800 1406843700 1500633280 1585176000 1751712000 1758554625 1800759936 1875791600 2113568000 2250949920 2344739500 2813687400 3001266560 3170352000 3517109250 3601519872 3751583200 4501899840 4689479000 5627374800 6002533120 6340704000 7034218500 7503166400 9003799680 9378958000 11254749600 14068437000 15006332800 18007599360 18757916000 22509499200 28136874000 30012665600 37515832000 45018998400 56273748000 75031664000 90037996800 112547496000 150063328000 225094992000 450189984000
• Sum of all divisors σ(n): 1522289897856
• Sum of proper divisors (its aliquot sum) s(n): 1072099913856
• 450189984000 is an abundant number, because the sum of its proper divisors (1072099913856) is greater than itself. Its abundance is 621909929856

Bases of 450189984000

• Binary: 110100011010001011010100000000100000000₂
• Hexadecimal: 0x68D16A0100
• Base-36: 5QTBHQTC

Squares and roots of 450189984000

• 450189984000 squared (450189984000²) is 202671021693920256000000
• 450189984000 cubed (450189984000³) is 91240464013649612945915904000000000
• The square root of 450189984000 is 670961.9840199591
• The cube root of 450189984000 is 7664.1725909561

Scales and comparisons

• 450,189,984,000 seconds is equal to 14,314 years, 33 weeks, 5 days, 5 hours, 20 minutes.
• To count from 1 to 450,189,984,000 would take you about twenty-eight thousand, six hundred twenty-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 450189984000 cubic inches would be around 638.7 feet tall.

Recreational maths with 450189984000

• 450189984000 backwards is 000489981054
• 450189984000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 450189984000's digits is 48
• More coming soon!