46406389200343830

Names of 46406389200343830

• Cardinal: 46406389200343830 can be written as Forty-six quadrillion, four hundred six trillion, three hundred eighty-nine billion, two hundred million, three hundred forty-three thousand, eight hundred thirty.

Scientific notation

• Scientific notation: 4.640638920034383 × 10¹⁶

Factors of 46406389200343830

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 9756176

Divisors of 46406389200343830

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 487 567 630 810 945 974 1134 1461 1723 1890 2435 2835 2922 3409 3446 4383 4870 5169 5670 6818 7305 8615 8766 10227 10338 12061 13149 14610 15507 17045 17230 20454 21915 24122 25845 26298 30681 31014 34090 36183 39447 43830 46521 51135 51690 60305 61362 65745 72366 77535 78894 92043 93042 102270 108549 120610 131490 139563 153405 155070 180915 184086 197235 217098 232605 276129 279126 306810 325647 361830 394470 460215 465210 542745 552258 651294 697815 839101 920430 976941 1085490 1380645 1395630 1628235 1678202 1953882 2517303 2761290 3256470 4195505 4884705 5034606 5873707 7551909 8391010 9753949 9769410 11747414 12586515 15103818 17621121 19507898 22655727 25173030 29261847 29368535 35242242 37759545 45311454 48769745 52863363 58523694 58737070 67967181 68277643 75519090 87785541 88105605 97539490 105726726 113278635 135934362 136555286 146309235 158590089 175571082 176211210 204832929 226557270 263356623 264316815 292618470 317180178 339835905 341388215 409665858 438927705 475770267 526713246 528633630 614498787 679671810 682776430 790069869 792950445 877855410 951540534 1024164645 1228997574 1316783115 1580139738 1585900890 1843496361 2048329290 2378851335 2633566230 3072493935 3686992722 3950349345 4750173163 4757702670 5530489083 6144987870 7900698690 9217481805 9500346326 11060978166 14250519489 16806054127 18434963610 23750865815 27652445415 28501038978 33251212141 33612108254 42751558467 47501731630 50418162381 55304890830 66502424282 71252597445 84030270635 85503116934 99753636423 100836324762 117642378889 128254675401 142505194890 151254487143 166256060705 168060541270 199507272846 213757792335 235284757778 252090811905 256509350802 299260909269 302508974286 332512121410 352927136667 384764026203 427515584670 453763461429 498768182115 504181623810 588211894445 598521818538 641273377005 705854273334 756272435715 769528052406 897782727807 907526922858 997536364230 1058781410001 1176423788890 1282546754010 1361290384287 1496304546345 1512544871430 1764635683335 1795565455614 1923820131015 2117562820002 2268817307145 2693348183421 2722580768574 2992609092690 3176344230003 3529271366670 3847640262030 4488913639035 4537634614290 5293907050005 5386696366842 6352688460006 6806451921435 8184548359849 8977827278070 9529032690009 10587814100010 13466740917105 13612903842870 15881721150015 16369096719698 19058065380018 24553645079547 26933481834210 31763442300030 40922741799245 47645163450045 49107290159094 57291838518943 73660935238641 81845483598490 95290326900090 114583677037886 122768225397735 147321870477282 171875515556829 220982805715923 245536450795470 286459192594715 343751031113658 368304676193205 441965611431846 515626546670487 572918385189430 662948417147769 736609352386410 859377577784145 1031253093340974 1104914028579615 1325896834295538 1546879640011461 1718755155568290 2209828057159230 2578132733352435 3093759280022922 3314742085738845 4640638920034383 5156265466704870 6629484171477690 7734398200057305 9281277840068766 15468796400114610 23203194600171915 46406389200343830
• Sum of all divisors σ(n): 142983350938137600
• Sum of proper divisors (its aliquot sum) s(n): 96576961737793770
• 46406389200343830 is an abundant number, because the sum of its proper divisors (96576961737793770) is greater than itself. Its abundance is 50170572537449940

Bases of 46406389200343830

• Binary: 10100100110111100101110101110111100110000101001100010110₂
• Hexadecimal: 0xA4DE5D77985316
• Base-36: COXOWW0F7DI

Squares and roots of 46406389200343830

• 46406389200343830 squared (46406389200343830²) is 2153552958613788457597390219068900
• 46406389200343830 cubed (46406389200343830³) is 99938616760983415763492366295760345694902459887000
• The square root of 46406389200343830 is 215421422.3338612859
• The cube root of 46406389200343830 is 359356.8485883281

Scales and comparisons

• 46,406,389,200,343,830 seconds is equal to 1,475,579,632 years, 9 weeks, 4 days, 2 hours, 10 minutes, 30 seconds.
• To count from 1 to 46,406,389,200,343,830 would take you about four billion, four hundred twenty-six million, seven hundred thirty-eight thousand, eight hundred ninety-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 46406389200343830 cubic inches would be around 29946.4 feet tall.

Recreational maths with 46406389200343830

• 46406389200343830 backwards is 03834300298360464
• 46406389200343830 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 46406389200343830's digits is 63
• More coming soon!