106125435096549120

Names of 106125435096549120

• Cardinal: 106125435096549120 can be written as One hundred six quadrillion, one hundred twenty-five trillion, four hundred thirty-five billion, ninety-six million, five hundred forty-nine thousand, one hundred twenty.

Scientific notation

• Scientific notation: 1.0612543509654912 × 10¹⁷

Factors of 106125435096549120

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 146226624654

Divisors of 106125435096549120

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 64 70 72 80 81 84 90 96 105 108 112 120 126 128 135 140 144 160 162 168 180 189 192 210 216 224 240 252 256 270 280 288 315 320 324 336 360 378 384 405 420 432 448 480 504 540 560 567 576 630 640 648 672 720 756 768 810 840 864 896 945 960 1008 1080 1120 1134 1152 1260 1280 1296 1344 1440 1512 1620 1680 1728 1792 1890 1920 2016 2160 2240 2268 2304 2520 2592 2688 2835 2880 3024 3240 3360 3456 3780 3840 4032 4320 4480 4536 5040 5184 5376 5670 5760 6048 6480 6720 6912 7560 8064 8640 8960 9072 10080 10368 11340 11520 12096 12960 13440 15120 16128 17280 18144 20160 20736 22680 24192 25920 26880 30240 34560 36288 40320 45360 48384 51840 60480 72576 80640 90720 103680 120960 145152 181440 241920 362880 725760 146226624637 292453249274 438679873911 584906498548 731133123185 877359747822 1023586372459 1169812997096 1316039621733 1462266246370 1754719495644 2047172744918 2193399369555 2339625994192 2632079243466 2924532492740 3070759117377 3509438991288 3948118865199 4094345489836 4386798739110 4679251988384 5117931862295 5264158486932 5849064985480 6141518234754 6580198108665 7018877982576 7896237730398 8188690979672 8773597478220 9212277352131 9358503976768 10235863724590 10528316973864 11698129970960 11844356595597 12283036469508 13160396217330 14037755965152 15353795586885 15792475460796 16377381959344 17547194956440 18424554704262 18717007953536 19740594325995 20471727449180 21056633947728 23396259941920 23688713191194 24566072939016 26320792434660 27636832056393 28075511930304 30707591173770 31584950921592 32754763918688 35094389912880 36849109408524 37434015907072 39481188651990 40943454898360 42113267895456 46061386760655 46792519883840 47377426382388 49132145878032 52641584869320 55273664112786 56151023860608 59221782977985 61415182347540 63169901843184 65509527837376 70188779825760 73698218817048 78962377303980 81886909796720 82910496169179 84226535790912 92122773521310 93585039767680 94754852764776 98264291756064 105283169738640 110547328225572 112302047721216 118443565955970 122830364695080 126339803686368 131019055674752 138184160281965 140377559651520 147396437634096 157924754607960 163773819593440 165820992338358 168453071581824 184245547042620 187170079535360 189509705529552 196528583512128 210566339477280 221094656451144 236887131911940 245660729390160 252679607372736 262038111349504 276368320563930 280755119303040 294792875268192 315849509215920 327547639186880 331641984676716 336906143163648 368491094085240 379019411059104 393057167024256 414552480845895 421132678954560 442189312902288 473774263823880 491321458780320 505359214745472 552736641127860 561510238606080 589585750536384 631699018431840 655095278373760 663283969353432 736982188170480 758038822118208 786114334048512 829104961691790 842265357909120 884378625804576 947548527647760 982642917560640 1010718429490944 1105473282255720 1179171501072768 1263398036863680 1310190556747520 1326567938706864 1473964376340960 1516077644236416 1658209923383580 1684530715818240 1768757251609152 1895097055295520 1965285835121280 2210946564511440 2358343002145536 2526796073727360 2653135877413728 2947928752681920 3032155288472832 3316419846767160 3537514503218304 3790194110591040 3930571670242560 4421893129022880 5053592147454720 5306271754827456 5895857505363840 6632839693534320 7075029006436608 7580388221182080 8843786258045760 10612543509654912 11791715010727680 13265679387068640 15160776442364160 17687572516091520 21225087019309824 26531358774137280 35375145032183040 53062717548274560 106125435096549120
• Sum of all divisors σ(n): 433984244543624544
• Sum of proper divisors (its aliquot sum) s(n): 327858809447075424
• 106125435096549120 is an abundant number, because the sum of its proper divisors (327858809447075424) is greater than itself. Its abundance is 221733374350526304

Bases of 106125435096549120

• Binary: 101111001000010001000010101011100100100000100011100000000₂
• Hexadecimal: 0x17908855C904700
• Base-36: T0YBRU2Y800

Squares and roots of 106125435096549120

• 106125435096549120 squared (106125435096549120²) is 11262607974431859727056132572774400
• 106125435096549120 cubed (106125435096549120³) is 1195249171608444880229191895314062147368704278528000
• The square root of 106125435096549120 is 325768990.3851333729
• The cube root of 106125435096549120 is 473448.9538579163

Scales and comparisons

• 106,125,435,096,549,120 seconds is equal to 3,374,460,568 years, 28 weeks, 2 days, 19 hours, 12 minutes.
• To count from 1 to 106,125,435,096,549,120 would take you about ten billion, one hundred twenty-three million, three hundred eighty-one thousand, seven hundred five 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 106125435096549120 cubic inches would be around 39454.1 feet tall.

Recreational maths with 106125435096549120

• 106125435096549120 backwards is 021945690534521601
• 106125435096549120 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 106125435096549120's digits is 63
• More coming soon!