137945560073184000

Names of 137945560073184000

• Cardinal: 137945560073184000 can be written as One hundred thirty-seven quadrillion, nine hundred forty-five trillion, five hundred sixty billion, seventy-three million, one hundred eighty-four thousand.

Scientific notation

• Scientific notation: 1.37945560073184 × 10¹⁷

Factors of 137945560073184000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 581990674

Divisors of 137945560073184000

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 125 128 144 150 160 180 192 200 225 240 250 256 288 300 320 360 375 384 400 450 480 500 576 600 640 720 750 768 800 823 900 960 1000 1125 1152 1200 1280 1440 1500 1600 1646 1800 1920 2000 2250 2304 2400 2469 2880 3000 3200 3292 3600 3840 4000 4115 4500 4800 4938 5760 6000 6400 6584 7200 7407 8000 8230 9000 9600 9876 11520 12000 12345 13168 14400 14814 16000 16460 18000 19200 19752 20575 24000 24690 26336 28800 29628 32000 32920 36000 37035 39504 41150 48000 49380 52672 57600 59256 61725 65840 72000 74070 79008 82300 96000 98760 102875 105344 118512 123450 131680 144000 148140 158016 164600 185175 197520 205750 210688 237024 246900 263360 288000 296280 308625 316032 329200 370350 395040 411500 474048 493800 526720 592560 617250 632064 658400 740700 790080 823000 925875 948096 987600 1053440 1185120 1234500 1316800 1481400 1580160 1646000 1851750 1896192 1975200 2370240 2469000 2633600 2962800 3160320 3292000 3703500 3950400 4740480 4938000 5267200 5925600 6584000 7407000 7900800 9480960 9876000 11851200 13168000 14814000 15801600 19752000 23702400 26336000 29628000 39504000 47404800 59256000 79008000 118512000 237024000 581989841 1163979682 1745969523 2327959364 2909949205 3491939046 4655918728 5237908569 5819898410 6983878092 8729847615 9311837456 10475817138 11639796820 13967756184 14549746025 17459695230 18623674912 20951634276 23279593640 26189542845 27935512368 29099492050 34919390460 37247349824 41903268552 43649238075 46559187280 52379085690 55871024736 58198984100 69838780920 72748730125 74494699648 83806537104 87298476150 93118374560 104758171380 111742049472 116397968200 130947714225 139677561840 145497460250 148989399296 167613074208 174596952300 186236749120 209516342760 218246190375 223484098944 232795936400 261895428450 279355123680 290994920500 335226148416 349193904600 372473498240 419032685520 436492380750 446968197888 465591872800 478977639143 523790856900 558710247360 581989841000 654738571125 670452296832 698387809200 744946996480 838065371040 872984761500 931183745600 957955278286 1047581713800 1117420494720 1163979682000 1309477142250 1340904593664 1396775618400 1436932917429 1676130742080 1745969523000 1862367491200 1915910556572 2095163427600 2234840989440 2327959364000 2394888195715 2618954284500 2793551236800 2873865834858 3352261484160 3491939046000 3724734982400 3831821113144 4190326855200 4310798752287 4655918728000 4789776391430 5237908569000 5587102473600 5747731669716 6704522968320 6983878092000 7184664587145 7663642226288 8380653710400 8621597504574 9311837456000 9579552782860 10475817138000 11174204947200 11495463339432 11974440978575 13967756184000 14369329174290 15327284452576 16761307420800 17243195009148 18623674912000 19159105565720 20951634276000 21553993761435 22990926678864 23948881957150 27935512368000 28738658348580 30654568905152 33522614841600 34486390018296 35923322935725 38318211131440 41903268552000 43107987522870 45981853357728 47897763914300 55871024736000 57477316697160 59872204892875 61309137810304 68972780036592 71846645871450 76636422262880 83806537104000 86215975045740 91963706715456 95795527828600 107769968807175 114954633394320 119744409785750 122618275620608 137945560073184 143693291742900 153272844525760 167613074208000 172431950091480 179616614678625 183927413430912 191591055657200 215539937614350 229909266788640 239488819571500 275891120146368 287386583485800 306545689051520 344863900182960 359233229357250 367854826861824 383182111314400 431079875228700 459818533577280 478977639143000 538849844035875 551782240292736 574773166971600 613091378103040 689727800365920 718466458714500 766364222628800 862159750457400 919637067154560 957955278286000 1077699688071750 1103564480585472 1149546333943200 1379455600731840 1436932917429000 1532728445257600 1724319500914800 1839274134309120 1915910556572000 2155399376143500 2299092667886400 2758911201463680 2873865834858000 3065456890515200 3448639001829600 3831821113144000 4310798752287000 4598185335772800 5517822402927360 5747731669716000 6897278003659200 7663642226288000 8621597504574000 9196370671545600 11495463339432000 13794556007318400 15327284452576000 17243195009148000 22990926678864000 27589112014636800 34486390018296000 45981853357728000 68972780036592000 137945560073184000
• Sum of all divisors σ(n): 496971480847068864
• Sum of proper divisors (its aliquot sum) s(n): 359025920773884864
• 137945560073184000 is an abundant number, because the sum of its proper divisors (359025920773884864) is greater than itself. Its abundance is 221080360700700864

Bases of 137945560073184000

• Binary: 111101010000101001100000110001010100000010010001100000000₂
• Hexadecimal: 0x1EA14C18A812300
• Base-36: 11Q9MBG2RB40

Squares and roots of 137945560073184000

• 137945560073184000 squared (137945560073184000²) is 19028977543904415731435897856000000
• 137945560073184000 cubed (137945560073184000³) is 2624962964913935907118835294738124108693504000000000
• The square root of 137945560073184000 is 371410231.5138666181
• The cube root of 137945560073184000 is 516696.9630506333

Scales and comparisons

• 137,945,560,073,184,000 seconds is equal to 4,386,242,116 years, 36 weeks, 16 hours.
• To count from 1 to 137,945,560,073,184,000 would take you about thirteen billion, one hundred fifty-eight million, seven hundred twenty-six thousand, three hundred fifty 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 137945560073184000 cubic inches would be around 43058.1 feet tall.

Recreational maths with 137945560073184000

• 137945560073184000 backwards is 000481370065549731
• The number of decimal digits it has is: 18
• The sum of 137945560073184000's digits is 63
• More coming soon!