105968738400

Names of 105968738400

• Cardinal: 105968738400 can be written as One hundred five billion, nine hundred sixty-eight million, seven hundred thirty-eight thousand, four hundred.

Scientific notation

• Scientific notation: 1.059687384 × 10¹¹

Factors of 105968738400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 12034

Divisors of 105968738400

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 25 28 30 31 32 34 35 40 42 48 50 51 56 60 62 68 70 75 80 84 85 93 96 100 102 105 112 119 120 124 136 140 150 155 160 168 170 175 186 200 204 210 217 224 238 240 248 255 272 280 300 310 336 340 350 357 372 400 408 420 425 434 465 476 480 496 510 525 527 544 560 595 600 620 651 672 680 700 714 744 775 800 816 840 850 868 930 952 992 1020 1050 1054 1085 1120 1190 1200 1240 1275 1302 1360 1400 1428 1488 1550 1581 1632 1680 1700 1736 1785 1860 1904 2040 2100 2108 2170 2325 2380 2400 2480 2550 2604 2635 2720 2800 2856 2975 2976 3100 3162 3255 3360 3400 3472 3570 3689 3720 3808 4080 4200 4216 4340 4650 4760 4960 5100 5208 5270 5425 5600 5712 5950 6200 6324 6510 6800 6944 7140 7378 7440 7905 8160 8400 8432 8680 8925 9300 9520 10200 10416 10540 10850 11067 11424 11900 11969 12400 12648 13020 13175 13600 14280 14756 14880 15810 16275 16800 16864 17360 17850 18445 18600 19040 20400 20832 21080 21700 22134 23800 23938 24800 25296 26040 26350 28560 29512 31620 32550 34720 35700 35907 36890 37200 39525 40800 42160 43400 44268 47600 47876 50592 52080 52700 55335 57120 59024 59845 63240 65100 71400 71814 73780 74400 79050 83783 84320 86800 88536 92225 95200 95752 104160 105400 110670 118048 119690 126480 130200 142800 143628 147560 158100 167566 173600 177072 179535 184450 191504 203473 210800 221340 239380 251349 252960 260400 276675 285600 287256 295120 299225 316200 335132 354144 359070 368900 371039 383008 406946 418915 421600 442680 478760 502698 520800 553350 574512 590240 598450 610419 632400 670264 718140 737800 742078 813892 837830 885360 897675 957520 1005396 1017365 1106700 1113117 1149024 1196900 1220838 1256745 1264800 1340528 1424311 1436280 1475600 1484156 1627784 1675660 1770720 1795350 1855195 1915040 2010792 2034730 2094575 2213400 2226234 2393800 2441676 2513490 2597273 2681056 2848622 2872560 2951200 2968312 3052095 3255568 3351320 3590700 3710390 4021584 4069460 4189150 4272933 4426800 4452468 4787600 4883352 5026980 5086825 5194546 5565585 5697244 5745120 5936624 6104190 6283725 6307663 6511136 6702640 7121555 7181400 7420780 7791819 8043168 8138920 8378300 8545866 8853600 8904936 9275975 9575200 9766704 10053960 10173650 10389092 11131170 11394488 11873248 12208380 12567450 12615326 12986365 13405280 14243110 14362800 14841560 15260475 15583638 16277840 16756600 17091732 17809872 18551950 18922989 19533408 20107920 20347300 20778184 21364665 22262340 22788976 24416760 25134900 25230652 25972730 27827925 28486220 28725600 29683120 30520950 31167276 31538315 32555680 33513200 34183464 35607775 35619744 37103900 37845978 38959095 40215840 40694600 41556368 42729330 44153641 44524680 45577952 48833520 50269800 50461304 51945460 55655850 56972440 59366240 61041900 62334552 63076630 64931825 67026400 68366928 71215550 74207800 75691956 77918190 81389200 83112736 85458660 88307282 89049360 94614945 97667040 100539600 100922608 103890920 106823325 111311700 113944880 122083800 124669104 126153260 129863650 132460923 136733856 142431100 148415600 151383912 155836380 157691575 162778400 170917320 176614564 178098720 189229890 194795475 201079200 201845216 207781840 213646650 220768205 222623400 227889760 244167600 249338208 252306520 259727300 264921846 284862200 296831200 302767824 311672760 315383150 341834640 353229128 378459780 389590950 415563680 427293300 441536410 445246800 473074725 488335200 504613040 519454600 529843692 569724400 605535648 623345520 630766300 662304615 683669280 706458256 756919560 779181900 854586600 883072820 890493600 946149450 1009226080 1038909200 1059687384 1103841025 1139448800 1246691040 1261532600 1324609230 1412916512 1513839120 1558363800 1709173200 1766145640 1892298900 2077818400 2119374768 2207682050 2523065200 2649218460 3027678240 3116727600 3311523075 3418346400 3532291280 3784597800 4238749536 4415364100 5046130400 5298436920 6233455200 6623046150 7064582560 7569195600 8830728200 10596873840 13246092300 15138391200 17661456400 21193747680 26492184600 35322912800 52984369200 105968738400
• Sum of all divisors σ(n): 430892421120
• Sum of proper divisors (its aliquot sum) s(n): 324923682720
• 105968738400 is an abundant number, because the sum of its proper divisors (324923682720) is greater than itself. Its abundance is 218954944320

Bases of 105968738400

• Binary: 1100010101100001110101010000001100000₂
• Hexadecimal: 0x18AC3AA060
• Base-36: 1COJ1TUO

Squares and roots of 105968738400

• 105968738400 squared (105968738400²) is 11229373518087634560000
• 105968738400 cubed (105968738400³) is 1189962544734116214963439104000000
• The square root of 105968738400 is 325528.3987611527
• The cube root of 105968738400 is 4732.1581957881

Scales and comparisons

• 105,968,738,400 seconds is equal to 3,369 years, 24 weeks, 6 days, 40 minutes.
• To count from 1 to 105,968,738,400 would take you about six thousand, seven hundred thirty-eight 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 105968738400 cubic inches would be around 394.3 feet tall.

Recreational maths with 105968738400

• 105968738400 backwards is 004837869501
• 105968738400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 105968738400's digits is 51
• More coming soon!