106946078400

Names of 106946078400

• Cardinal: 106946078400 can be written as One hundred six billion, nine hundred forty-six million, seventy-eight thousand, four hundred.

Scientific notation

• Scientific notation: 1.069460784 × 10¹¹

Factors of 106946078400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 17471

Divisors of 106946078400

• Number of divisors d(n): 504
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 50 56 60 61 63 64 70 72 75 80 84 90 96 100 105 112 120 122 126 140 144 150 160 168 175 180 183 192 200 210 224 225 240 244 252 280 288 300 305 315 320 336 350 360 366 400 420 427 448 450 480 488 504 525 549 560 576 600 610 630 672 700 720 732 800 840 854 900 915 960 976 1008 1050 1098 1120 1200 1220 1260 1281 1344 1400 1440 1464 1525 1575 1600 1680 1708 1800 1830 1952 2016 2100 2135 2196 2240 2400 2440 2520 2562 2745 2800 2880 2928 3050 3150 3360 3416 3600 3660 3843 3904 4032 4200 4270 4392 4575 4800 4880 5040 5124 5490 5600 5856 6100 6300 6405 6720 6832 7200 7320 7686 8400 8540 8784 9150 9760 10080 10248 10675 10980 11200 11712 12200 12600 12810 13664 13725 14400 14640 15372 16800 17080 17393 17568 18300 19215 19520 20160 20496 21350 21960 24400 25200 25620 27328 27450 29280 30744 32025 33600 34160 34786 35136 36600 38430 40992 42700 43920 48800 50400 51240 52179 54900 58560 61488 64050 68320 69572 73200 76860 81984 85400 86965 87840 96075 97600 100800 102480 104358 109800 121751 122976 128100 136640 139144 146400 153720 156537 170800 173930 175680 192150 204960 208716 219600 243502 245952 256200 260895 278288 292800 307440 313074 341600 347860 365253 384300 409920 417432 434825 439200 487004 512400 521790 556576 608755 614880 626148 683200 695720 730506 768600 782685 834864 869650 878400 974008 1024800 1043580 1060973 1095759 1113152 1217510 1229760 1252296 1304475 1391440 1461012 1537200 1565370 1669728 1739300 1826265 1948016 2049600 2087160 2121946 2191518 2435020 2504592 2608950 2782880 2922024 3043775 3074400 3130740 3182919 3339456 3478600 3652530 3896032 3913425 4174320 4243892 4383036 4870040 5009184 5217900 5304865 5478795 5565760 5844048 6087550 6148800 6261480 6365838 6957200 7305060 7426811 7792064 7826850 8348640 8487784 8766072 9131325 9548757 9740080 10018368 10435800 10609730 10957590 11688096 12175100 12522960 12731676 13914400 14610120 14853622 15653700 15914595 16697280 16975568 17532144 18262650 19097514 19480160 20871600 21219460 21915180 22280433 23376192 24350200 25045920 25463352 26524325 27393975 27828800 29220240 29707244 31307400 31829190 33951136 35064288 36525300 37134055 38195028 38960320 41743200 42438920 43830360 44560866 47743785 48700400 50091840 50926704 53048650 54787950 58440480 59414488 62614800 63658380 66841299 67902272 70128576 73050600 74268110 76390056 79572975 83486400 84877840 87660720 89121732 95487570 97400800 101853408 106097300 109575900 111402165 116880960 118828976 125229600 127316760 133682598 146101200 148536220 152780112 159145950 169755680 175321440 178243464 185670275 190975140 194801600 203706816 212194600 219151800 222804330 237657952 238718925 250459200 254633520 267365196 292202400 297072440 305560224 318291900 334206495 339511360 350642880 356486928 371340550 381950280 424389200 438303600 445608660 475315904 477437850 509267040 534730392 557010825 584404800 594144880 611120448 636583800 668412990 712973856 742681100 763900560 848778400 876607200 891217320 954875700 1018534080 1069460784 1114021650 1188289760 1273167600 1336825980 1425947712 1485362200 1527801120 1671032475 1697556800 1753214400 1782434640 1909751400 2138921568 2228043300 2376579520 2546335200 2673651960 2970724400 3055602240 3342064950 3564869280 3819502800 4277843136 4456086600 5092670400 5347303920 5941448800 6684129900 7129738560 7639005600 8912173200 10694607840 11882897600 13368259800 15278011200 17824346400 21389215680 26736519600 35648692800 53473039200 106946078400
• Sum of all divisors σ(n): 441560187744
• Sum of proper divisors (its aliquot sum) s(n): 334614109344
• 106946078400 is an abundant number, because the sum of its proper divisors (334614109344) is greater than itself. Its abundance is 227668030944

Bases of 106946078400

• Binary: 1100011100110011110111010011011000000₂
• Hexadecimal: 0x18E67BA6C0
• Base-36: 1D4OXM80

Squares and roots of 106946078400

• 106946078400 squared (106946078400²) is 11437463685138946560000
• 106946078400 cubed (106946078400³) is 1223191887968022693699170304000000
• The square root of 106946078400 is 327026.1127188469
• The cube root of 106946078400 is 4746.6617859999

Scales and comparisons

• 106,946,078,400 seconds is equal to 3,400 years, 28 weeks, 5 days, 20 hours.
• To count from 1 to 106,946,078,400 would take you about six thousand, eight hundred 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 106946078400 cubic inches would be around 395.6 feet tall.

Recreational maths with 106946078400

• 106946078400 backwards is 004870649601
• 106946078400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 106946078400's digits is 45
• More coming soon!