380384720994816000

Names of 380384720994816000

• Cardinal: 380384720994816000 can be written as Three hundred eighty quadrillion, three hundred eighty-four trillion, seven hundred twenty billion, nine hundred ninety-four million, eight hundred sixteen thousand.

Scientific notation

• Scientific notation: 3.80384720994816 × 10¹⁷

Factors of 380384720994816000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 3029

Divisors of 380384720994816000

• Number of divisors d(n): 624
• 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 96 100 108 120 125 128 135 144 150 160 180 192 200 216 225 240 250 256 270 288 300 320 360 375 384 400 432 450 480 500 512 540 576 600 640 675 720 750 768 800 864 900 960 1000 1024 1080 1125 1152 1200 1280 1350 1440 1500 1536 1600 1728 1800 1920 2000 2048 2160 2250 2304 2400 2560 2700 2880 3000 3019 3072 3200 3375 3456 3600 3840 4000 4096 4320 4500 4608 4800 5120 5400 5760 6000 6038 6144 6400 6750 6912 7200 7680 8000 8640 9000 9057 9216 9600 10240 10800 11520 12000 12076 12288 12800 13500 13824 14400 15095 15360 16000 17280 18000 18114 18432 19200 20480 21600 23040 24000 24152 25600 27000 27171 27648 28800 30190 30720 32000 34560 36000 36228 36864 38400 43200 45285 46080 48000 48304 51200 54000 54342 55296 57600 60380 61440 64000 69120 72000 72456 75475 76800 81513 86400 90570 92160 96000 96608 102400 108000 108684 110592 115200 120760 128000 135855 138240 144000 144912 150950 153600 163026 172800 181140 184320 192000 193216 216000 217368 226425 230400 241520 256000 271710 276480 288000 289824 301900 307200 326052 345600 362280 377375 384000 386432 407565 432000 434736 452850 460800 483040 512000 543420 552960 576000 579648 603800 652104 679275 691200 724560 754750 768000 772864 815130 864000 869472 905700 921600 966080 1086840 1132125 1152000 1159296 1207600 1304208 1358550 1382400 1449120 1509500 1536000 1545728 1630260 1728000 1738944 1811400 1932160 2037825 2173680 2264250 2304000 2318592 2415200 2608416 2717100 2764800 2898240 3019000 3091456 3260520 3396375 3456000 3477888 3622800 3864320 4075650 4347360 4528500 4608000 4637184 4830400 5216832 5434200 5796480 6038000 6182912 6521040 6792750 6912000 6955776 7245600 7728640 8151300 8694720 9057000 9114361 9274368 9660800 10189125 10433664 10868400 11592960 12076000 12365824 13042080 13585500 13824000 13911552 14491200 15457280 16302600 17389440 18114000 18228722 18548736 19321600 20378250 20867328 21736800 23185920 24152000 26084160 27171000 27343083 27823104 28982400 30914560 32605200 34778880 36228000 36457444 37097472 38643200 40756500 41734656 43473600 45571805 46371840 48304000 52168320 54342000 54686166 55646208 57964800 61829120 65210400 69557760 72456000 72914888 77286400 81513000 82029249 83469312 86947200 91143610 92743680 96608000 104336640 108684000 109372332 111292416 115929600 130420800 136715415 139115520 144912000 145829776 154572800 163026000 164058498 166938624 173894400 182287220 185487360 193216000 208673280 217368000 218744664 227859025 231859200 246087747 260841600 273430830 278231040 289824000 291659552 309145600 326052000 328116996 333877248 347788800 364574440 386432000 410146245 417346560 434736000 437489328 455718050 463718400 492175494 521683200 546861660 556462080 579648000 583319104 652104000 656233992 683577075 695577600 729148880 772864000 820292490 834693120 869472000 874978656 911436100 927436800 984350988 1043366400 1093723320 1139295125 1159296000 1166638208 1230438735 1304208000 1312467984 1367154150 1391155200 1458297760 1545728000 1640584980 1669386240 1738944000 1749957312 1822872200 1968701976 2050731225 2086732800 2187446640 2278590250 2318592000 2333276416 2460877470 2608416000 2624935968 2734308300 2782310400 2916595520 3281169960 3417885375 3477888000 3499914624 3645744400 3937403952 4101462450 4173465600 4374893280 4557180500 4637184000 4666552832 4921754940 5216832000 5249871936 5468616600 5833191040 6152193675 6562339920 6835770750 6955776000 6999829248 7291488800 7874807904 8202924900 8346931200 8749786560 9114361000 9333105664 9843509880 10253656125 10433664000 10499743872 10937233200 11666382080 12304387350 13124679840 13671541500 13911552000 13999658496 14582977600 15749615808 16405849800 17499573120 18228722000 18666211328 19687019760 20507312250 20867328000 20999487744 21874466400 23332764160 24608774700 26249359680 27343083000 27999316992 29165955200 30760968375 31499231616 32811699600 34999146240 36457444000 37332422656 39374039520 41014624500 41734656000 41998975488 43748932800 46665528320 49217549400 52498719360 54686166000 55998633984 58331910400 61521936750 62998463232 65623399200 69998292480 72914888000 78748079040 82029249000 83997950976 87497865600 93331056640 98435098800 104997438720 109372332000 111997267968 116663820800 123043873500 125996926464 131246798400 139996584960 145829776000 157496158080 164058498000 167995901952 174995731200 186662113280 196870197600 209994877440 218744664000 233327641600 246087747000 251993852928 262493596800 279993169920 291659552000 314992316160 328116996000 335991803904 349991462400 393740395200 419989754880 437489328000 466655283200 492175494000 503987705856 524987193600 559986339840 583319104000 629984632320 656233992000 699982924800 787480790400 839979509760 874978656000 933310566400 984350988000 1007975411712 1049974387200 1166638208000 1259969264640 1312467984000 1399965849600 1574961580800 1679959019520 1749957312000 1968701976000 2099948774400 2333276416000 2519938529280 2624935968000 2799931699200 3149923161600 3499914624000 3937403952000 4199897548800 4666552832000 5039877058560 5249871936000 6299846323200 6999829248000 7874807904000 8399795097600 10499743872000 12599692646400 13999658496000 15749615808000 20999487744000 25199385292800 31499231616000 41998975488000 62998463232000 125996926464000
• Sum of all divisors σ(n): 380724730187243040
• Sum of proper divisors (its aliquot sum) s(n): 340009192427040
• 380384720994816000 is a deficient number, because the sum of its proper divisors (340009192427040) is less than itself. Its deficiency is 380044711802388960

Bases of 380384720994816000

• Binary: 10101000111011001011110001101101100111000011101000000000000₂
• Hexadecimal: 0x54765E36CE1D000
• Base-36: 2W1F4OF9UYO0

Squares and roots of 380384720994816000

• 380384720994816000 squared (380384720994816000²) is 144692535966304012212698873856000000
• 380384720994816000 cubed (380384720994816000³) is 55038829923574930980258733789418123213930496000000000
• The square root of 380384720994816000 is 616753371.2877587505
• 380384720994816000 is a perfect cube number. Its cube root is 724560

Scales and comparisons

• 380,384,720,994,816,000 seconds is equal to 12,095,057,520 years, 22 weeks, 6 days.
• To count from 1 to 380,384,720,994,816,000 would take you about thirty-six billion, two hundred eighty-five million, one hundred seventy-two thousand, five hundred sixty-one 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 380384720994816000 cubic inches would be around 60380 feet tall.

Recreational maths with 380384720994816000

• 380384720994816000 backwards is 000618499027483083
• 380384720994816000 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 380384720994816000's digits is 72
• More coming soon!