133683664171968000

Names of 133683664171968000

• Cardinal: 133683664171968000 can be written as One hundred thirty-three quadrillion, six hundred eighty-three trillion, six hundred sixty-four billion, one hundred seventy-one million, nine hundred sixty-eight thousand.

Scientific notation

• Scientific notation: 1.33683664171968 × 10¹⁷

Factors of 133683664171968000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 4271

Divisors of 133683664171968000

• Number of divisors d(n): 480
• 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 1080 1125 1152 1200 1280 1350 1440 1500 1536 1600 1728 1800 1920 2000 2160 2250 2304 2400 2560 2700 2880 3000 3200 3375 3456 3600 3840 4000 4261 4320 4500 4608 4800 5400 5760 6000 6400 6750 6912 7200 7680 8000 8522 8640 9000 9600 10800 11520 12000 12783 12800 13500 13824 14400 16000 17044 17280 18000 19200 21305 21600 23040 24000 25566 27000 28800 32000 34088 34560 36000 38349 38400 42610 43200 48000 51132 54000 57600 63915 64000 68176 69120 72000 76698 85220 86400 96000 102264 106525 108000 115047 115200 127830 136352 144000 153396 170440 172800 191745 192000 204528 213050 216000 230094 255660 272704 288000 306792 319575 340880 345600 383490 409056 426100 432000 460188 511320 532625 545408 575235 576000 613584 639150 681760 766980 818112 852200 864000 920376 958725 1022640 1065250 1090816 1150470 1227168 1278300 1363520 1533960 1597875 1636224 1704400 1728000 1840752 1917450 2045280 2130500 2181632 2300940 2454336 2556600 2727040 2876175 3067920 3195750 3272448 3408800 3681504 3834900 4090560 4261000 4601880 4793625 4908672 5113200 5454080 5752350 6135840 6391500 6544896 6817600 7363008 7669800 8181120 8522000 9203760 9587250 9817344 10226400 10908160 11504700 12271680 12783000 13635200 14380875 14726016 15339600 16362240 17044000 18156121 18407520 19174500 19634688 20452800 23009400 24543360 25566000 27270400 28761750 29452032 30679200 32724480 34088000 36312242 36815040 38349000 40905600 46018800 49086720 51132000 54468363 54540800 57523500 58904064 61358400 68176000 72624484 73630080 76698000 81811200 90780605 92037600 98173440 102264000 108936726 115047000 122716800 136352000 145248968 147260160 153396000 163405089 163622400 181561210 184075200 204528000 217873452 230094000 245433600 272341815 272704000 290497936 294520320 306792000 326810178 363122420 368150400 409056000 435746904 453903025 460188000 490215267 490867200 544683630 580995872 613584000 653620356 726244840 736300800 817025445 818112000 871493808 907806050 920376000 980430534 1089367260 1161991744 1227168000 1307240712 1361709075 1452489680 1472601600 1634050890 1742987616 1815612100 1840752000 1960861068 2178734520 2269515125 2323983488 2451076335 2454336000 2614481424 2723418150 2904979360 3268101780 3485975232 3631224200 3681504000 3921722136 4085127225 4357469040 4539030250 4647966976 4902152670 5228962848 5446836300 5809958720 6536203560 6808545375 6971950464 7262448400 7363008000 7843444272 8170254450 8714938080 9078060500 9295933952 9804305340 10457925696 10893672600 11619917440 12255381675 13072407120 13617090750 13943900928 14524896800 15686888544 16340508900 17429876160 18156121000 19608610680 20425636125 20915851392 21787345200 23239834880 24510763350 26144814240 27234181500 27887801856 29049793600 31373777088 32681017800 34859752320 36312242000 39217221360 40851272250 41831702784 43574690400 46479669760 49021526700 52289628480 54468363000 58099587200 61276908375 62747554176 65362035600 69719504640 72624484000 78434442720 81702544500 83663405568 87149380800 98043053400 104579256960 108936726000 116199174400 122553816750 125495108352 130724071200 139439009280 145248968000 156868885440 163405089000 174298761600 196086106800 209158513920 217873452000 232398348800 245107633500 250990216704 261448142400 290497936000 313737770880 326810178000 348597523200 392172213600 418317027840 435746904000 490215267000 522896284800 580995872000 627475541760 653620356000 697195046400 784344427200 871493808000 980430534000 1045792569600 1161991744000 1254951083520 1307240712000 1568688854400 1742987616000 1960861068000 2091585139200 2614481424000 3137377708800 3485975232000 3921722136000 5228962848000 6274755417600 7843444272000 10457925696000 15686888544000 31373777088000
• Sum of all divisors σ(n): 133768217562968160
• Sum of proper divisors (its aliquot sum) s(n): 84553391000160
• 133683664171968000 is a deficient number, because the sum of its proper divisors (84553391000160) is less than itself. Its deficiency is 133599110780967840

Bases of 133683664171968000

• Binary: 111011010111100001001010110010011001111100010011000000000₂
• Hexadecimal: 0x1DAF095933E2600
• Base-36: 10KAWJHY2DC0

Squares and roots of 133683664171968000

• 133683664171968000 squared (133683664171968000²) is 17871322066443520691076993024000000
• 133683664171968000 cubed (133683664171968000³) is 2389103817439516808165143899753888272351232000000000
• The square root of 133683664171968000 is 365627767.2332450191
• 133683664171968000 is a perfect cube number. Its cube root is 511320

Scales and comparisons

• 133,683,664,171,968,000 seconds is equal to 4,250,727,009 years, 49 weeks, 1 day.
• To count from 1 to 133,683,664,171,968,000 would take you about twelve billion, seven hundred fifty-two million, one hundred eighty-one thousand and 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 133683664171968000 cubic inches would be around 42610 feet tall.

Recreational maths with 133683664171968000

• 133683664171968000 backwards is 000869171466386331
• 133683664171968000 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 133683664171968000's digits is 72
• More coming soon!