106146333872028000

Names of 106146333872028000

• Cardinal: 106146333872028000 can be written as One hundred six quadrillion, one hundred forty-six trillion, three hundred thirty-three billion, eight hundred seventy-two million, twenty-eight thousand.

Scientific notation

• Scientific notation: 1.06146333872028 × 10¹⁷

Factors of 106146333872028000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 42732018500

Divisors of 106146333872028000

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 27 30 32 36 40 45 46 48 50 54 60 69 72 75 80 90 92 96 100 108 115 120 125 135 138 144 150 160 180 184 200 207 216 225 230 240 250 270 276 288 300 345 360 368 375 400 414 432 450 460 480 500 540 552 575 600 621 675 690 720 736 750 800 828 864 900 920 1000 1035 1080 1104 1125 1150 1200 1242 1350 1380 1440 1500 1656 1725 1800 1840 2000 2070 2160 2208 2250 2300 2400 2484 2700 2760 2875 3000 3105 3312 3375 3450 3600 3680 4000 4140 4320 4500 4600 4968 5175 5400 5520 5750 6000 6210 6624 6750 6900 7200 8280 8625 9000 9200 9936 10350 10800 11040 11500 12000 12420 13500 13800 15525 16560 17250 18000 18400 19872 20700 21600 23000 24840 25875 27000 27600 31050 33120 34500 36000 41400 46000 49680 51750 54000 55200 62100 69000 77625 82800 92000 99360 103500 108000 124200 138000 155250 165600 207000 248400 276000 310500 414000 496800 621000 828000 1242000 2484000 42732018467 85464036934 128196055401 170928073868 213660092335 256392110802 341856147736 384588166203 427320184670 512784221604 640980277005 683712295472 769176332406 854640369340 982836424741 1025568443208 1068300461675 1153764498609 1281960554010 1367424590944 1538352664812 1709280738680 1922940831015 1965672849482 2051136886416 2136600923350 2307528997218 2563921108020 2948509274223 3076705329624 3204901385025 3418561477360 3845881662030 3931345698964 4102273772832 4273201846700 4615057994436 4914182123705 5127842216040 5341502308375 5768822493045 5897018548446 6153410659248 6409802770050 6837122954720 7691763324060 7862691397928 8546403693400 8845527822669 9230115988872 9614704155075 9828364247410 10255684432080 10683004616750 11537644986090 11794037096892 12306821318496 12819605540100 14742546371115 15383526648120 15725382795856 16024506925125 17092807386800 17691055645338 18460231977744 19229408310150 19656728494820 20511368864160 21366009233500 23075289972180 23588074193784 24570910618525 25639211080200 26536583468007 28844112465225 29485092742230 30767053296240 31450765591712 32049013850250 34185614773600 35382111290676 36920463955488 38458816620300 39313456989640 42732018467000 44227639113345 46150579944360 47176148387568 48073520775375 49141821237050 51278422160400 53073166936014 57688224930450 58970185484460 61534106592480 64098027700500 70764222581352 73712731855575 76917633240600 78626913979280 85464036934000 88455278226690 92301159888720 94352296775136 96147041550750 98283642474100 102556844320800 106146333872028 115376449860900 117940370968920 122854553092625 128196055401000 132682917340035 141528445162704 144220562326125 147425463711150 153835266481200 157253827958560 170928073868000 176910556453380 184602319777440 192294083101500 196567284948200 212292667744056 221138195566725 230752899721800 235880741937840 245709106185250 256392110802000 265365834680070 283056890325408 288441124652250 294850927422300 307670532962400 353821112906760 368563659277875 384588166203000 393134569896400 424585335488112 442276391133450 461505799443600 471761483875680 491418212370500 512784221604000 530731669360140 576882249304500 589701854844600 663414586700175 707642225813520 737127318555750 769176332406000 786269139792800 849170670976224 884552782266900 923011598887200 982836424741000 1061463338720280 1105690977833625 1153764498609000 1179403709689200 1326829173400350 1415284451627040 1474254637111500 1538352664812000 1769105564533800 1965672849482000 2122926677440560 2211381955667250 2307528997218000 2358807419378400 2653658346800700 2948509274223000 3317072933500875 3538211129067600 3931345698964000 4245853354881120 4422763911334500 4615057994436000 5307316693601400 5897018548446000 6634145867001750 7076422258135200 8845527822669000 10614633387202800 11794037096892000 13268291734003500 17691055645338000 21229266774405600 26536583468007000 35382111290676000 53073166936014000 106146333872028000
• Sum of all divisors σ(n): 403171466403363840
• Sum of proper divisors (its aliquot sum) s(n): 297025132531335840
• 106146333872028000 is an abundant number, because the sum of its proper divisors (297025132531335840) is greater than itself. Its abundance is 190878798659307840

Bases of 106146333872028000

• Binary: 101111001000110111000011100111100101001101111100101100000₂
• Hexadecimal: 0x1791B873CA6F960
• Base-36: T15QGLMA3C0

Squares and roots of 106146333872028000

• 106146333872028000 squared (106146333872028000²) is 11267044194472038707080832784000000
• 106146333872028000 cubed (106146333872028000³) is 1195955434817323794607754504266065522965952000000000
• The square root of 106146333872028000 is 325801064.8724586351
• The cube root of 106146333872028000 is 473480.0298324835

Scales and comparisons

• 106,146,333,872,028,000 seconds is equal to 3,375,125,084 years, 50 weeks, 6 hours.
• To count from 1 to 106,146,333,872,028,000 would take you about ten billion, one hundred twenty-five million, three hundred seventy-five thousand, two hundred fifty-four 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 106146333872028000 cubic inches would be around 39456.7 feet tall.

Recreational maths with 106146333872028000

• 106146333872028000 backwards is 000820278333641601
• 106146333872028000 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 106146333872028000's digits is 54
• More coming soon!