46405968578136000

Names of 46405968578136000

• Cardinal: 46405968578136000 can be written as Forty-six quadrillion, four hundred five trillion, nine hundred sixty-eight billion, five hundred seventy-eight million, one hundred thirty-six thousand.

Scientific notation

• Scientific notation: 4.6405968578136 × 10¹⁶

Factors of 46405968578136000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 463521

Divisors of 46405968578136000

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 90 96 100 108 120 125 135 144 150 160 180 192 200 216 225 240 250 270 288 300 320 360 375 400 432 450 480 500 540 576 600 675 720 750 800 864 900 960 1000 1080 1125 1200 1350 1440 1500 1600 1728 1800 2000 2160 2250 2400 2700 2880 3000 3375 3600 4000 4320 4500 4800 5400 6000 6750 7200 8000 8640 9000 10800 12000 13500 14400 18000 21600 24000 27000 36000 43200 54000 72000 108000 216000 463511 927022 1390533 1854044 2317555 2781066 3708088 4171599 4635110 5562132 6952665 7416176 8343198 9270220 11124264 11587775 12514797 13905330 14832352 16686396 18540440 20857995 22248528 23175550 25029594 27810660 29664704 33372792 34763325 37080880 41715990 44497056 46351100 50059188 55621320 57938875 62573985 66745584 69526650 74161760 83431980 88994112 92702200 100118376 104289975 111242640 115877750 125147970 133491168 139053300 148323520 166863960 173816625 185404400 200236752 208579950 222485280 231755500 250295940 266982336 278106600 312869925 333727920 347633250 370808800 400473504 417159900 444970560 463511000 500591880 521449875 556213200 625739850 667455840 695266500 741617600 800947008 834319800 927022000 1001183760 1042899750 1112426400 1251479700 1334911680 1390533000 1564349625 1668639600 1854044000 2002367520 2085799500 2224852800 2502959400 2781066000 3128699250 3337279200 3708088000 4004735040 4171599000 5005918800 5562132000 6257398500 6674558400 8343198000 10011837600 11124264000 12514797000 16686396000 20023675200 25029594000 33372792000 50059188000 100118376000 214842447121 429684894242 644527341363 859369788484 1074212235605 1289054682726 1718739576968 1933582024089 2148424471210 2578109365452 3222636706815 3437479153936 3867164048178 4296848942420 5156218730904 5371061178025 5800746072267 6445273413630 6874958307872 7734328096356 8593697884840 9667910120445 10312437461808 10742122356050 11601492144534 12890546827260 13749916615744 15468656192712 16113183534075 17187395769680 19335820240890 20624874923616 21484244712100 23202984289068 25781093654520 26855305890125 29003730361335 30937312385424 32226367068150 34374791539360 38671640481780 41249749847232 42968489424200 46405968578136 48339550602225 51562187309040 53710611780250 58007460722670 61874624770848 64452734136300 68749583078720 77343280963560 80565917670375 85936978848400 92811937156272 96679101204450 103124374618080 107421223560500 116014921445340 123749249541696 128905468272600 145018651806675 154686561927120 161131835340750 171873957696800 185623874312544 193358202408900 206248749236160 214842447121000 232029842890680 241697753011125 257810936545200 290037303613350 309373123854240 322263670681500 343747915393600 371247748625088 386716404817800 429684894242000 464059685781360 483395506022250 515621873090400 580074607226700 618746247708480 644527341363000 725093259033375 773432809635600 859369788484000 928119371562720 966791012044500 1031243746180800 1160149214453400 1289054682726000 1450186518066750 1546865619271200 1718739576968000 1856238743125440 1933582024089000 2320298428906800 2578109365452000 2900373036133500 3093731238542400 3867164048178000 4640596857813600 5156218730904000 5800746072267000 7734328096356000 9281193715627200 11601492144534000 15468656192712000 23202984289068000 46405968578136000
• Sum of all divisors σ(n): 170258709818439840
• Sum of proper divisors (its aliquot sum) s(n): 123852741240303840
• 46405968578136000 is an abundant number, because the sum of its proper divisors (123852741240303840) is greater than itself. Its abundance is 77446772662167840

Bases of 46405968578136000

• Binary: 10100100110111011111101110001000100011101100011111000000₂
• Hexadecimal: 0xA4DDFB888EC7C0
• Base-36: COXJJNOTIO0

Squares and roots of 46405968578136000

• 46405968578136000 squared (46405968578136000²) is 2153513919674945765537234496000000
• 46405968578136000 cubed (46405968578136000³) is 99935899289014027062450851934506730579456000000000
• The square root of 46405968578136000 is 215420446.0540735209
• The cube root of 46405968578136000 is 359355.7628619131

Scales and comparisons

• 46,405,968,578,136,000 seconds is equal to 1,475,566,257 years, 36 weeks, 2 days, 12 hours.
• To count from 1 to 46,405,968,578,136,000 would take you about four billion, four hundred twenty-six million, six hundred ninety-eight thousand, seven hundred seventy-three 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 46405968578136000 cubic inches would be around 29946.3 feet tall.

Recreational maths with 46405968578136000

• 46405968578136000 backwards is 00063187586950464
• 46405968578136000 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 46405968578136000's digits is 72
• More coming soon!