106707442310400

Names of 106707442310400

• Cardinal: 106707442310400 can be written as One hundred six trillion, seven hundred seven billion, four hundred forty-two million, three hundred ten thousand, four hundred.

Scientific notation

• Scientific notation: 1.067074423104 × 10¹⁴

Factors of 106707442310400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 10545939

Divisors of 106707442310400

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 31 32 34 40 48 50 51 60 62 64 68 75 80 85 93 96 100 102 120 124 128 136 150 155 160 170 186 192 200 204 240 248 255 256 272 300 310 320 340 372 384 400 408 425 465 480 496 510 527 544 600 620 640 680 744 768 775 800 816 850 930 960 992 1020 1054 1088 1200 1240 1275 1280 1360 1488 1550 1581 1600 1632 1700 1860 1920 1984 2040 2108 2176 2325 2400 2480 2550 2635 2720 2976 3100 3162 3200 3264 3400 3720 3840 3968 4080 4216 4352 4650 4800 4960 5100 5270 5440 5952 6200 6324 6400 6528 6800 7440 7905 7936 8160 8432 9300 9600 9920 10200 10540 10880 11904 12400 12648 13056 13175 13600 14880 15810 16320 16864 18600 19200 19840 20400 21080 21760 23808 24800 25296 26350 27200 29760 31620 32640 33728 37200 39525 39680 40800 42160 49600 50592 52700 54400 59520 63240 65280 67456 74400 79050 81600 84320 99200 101184 105400 108800 119040 126480 134912 148800 158100 163200 168640 198400 202368 210800 252960 297600 316200 326400 337280 404736 421600 505920 595200 632400 674560 843200 1011840 1264800 1686400 2023680 2529600 3372800 5059200 10118400 10545881 21091762 31637643 42183524 52729405 63275286 84367048 105458810 126550572 158188215 168734096 179279977 210917620 253101144 263647025 316376430 326922311 337468192 358559954 421835240 506202288 527294050 537839931 632752860 653844622 674936384 717119908 790941075 843670480 896399885 980766933 1012404576 1054588100 1075679862 1265505720 1307689244 1349872768 1434239816 1581882150 1634611555 1687340960 1792799770 1961533866 2024809152 2109176200 2151359724 2531011440 2615378488 2689199655 2699745536 2868479632 3163764300 3269223110 3374681920 3585599540 3923067732 4049618304 4218352400 4302719448 4481999425 4903834665 5062022880 5230756976 5378399310 5557679287 5736959264 6327528600 6538446220 6749363840 7171199080 7846135464 8099236608 8173057775 8436704800 8605438896 8963998850 9807669330 10124045760 10461513952 10756798620 11115358574 11473918528 12655057200 13076892440 13445998275 13498727680 14342398160 15692270928 16346115550 16673037861 16873409600 17210877792 17927997700 19615338660 20248091520 20923027904 21513597240 22230717148 22947837056 24519173325 25310114400 26153784880 26891996550 27788396435 28684796320 31384541856 32692231100 33346075722 33746819200 34421755584 35855995400 39230677320 40496183040 41846055808 43027194480 44461434296 45895674112 49038346650 50620228800 52307569760 53783993100 55576792870 57369592640 62769083712 65384462200 66692151444 67493638400 68843511168 71711990800 78461354640 83365189305 83692111616 86054388960 88922868592 98076693300 101240457600 104615139520 107567986200 111153585740 114739185280 125538167424 130768924400 133384302888 137687022336 138941982175 143423981600 156922709280 166730378610 172108777920 177845737184 196153386600 202480915200 209230279040 215135972400 222307171480 229478370560 251076334848 261537848800 266768605776 277883964350 286847963200 313845418560 333460757220 344217555840 355691474368 392306773200 416825946525 418460558080 430271944800 444614342960 523075697600 533537211552 555767928700 573695926400 627690837120 666921514440 688435111680 711382948736 784613546400 833651893050 860543889600 889228685920 1046151395200 1067074423104 1111535857400 1147391852800 1255381674240 1333843028880 1422765897472 1569227092800 1667303786100 1721087779200 1778457371840 2092302790400 2134148846208 2223071714800 2667686057760 3138454185600 3334607572200 3442175558400 3556914743680 4268297692416 4446143429600 5335372115520 6276908371200 6669215144400 7113829487360 8892286859200 10670744231040 13338430288800 17784573718400 21341488462080 26676860577600 35569147436800 53353721155200 106707442310400
• Sum of all divisors σ(n): 384900057819648
• Sum of proper divisors (its aliquot sum) s(n): 278192615509248
• 106707442310400 is an abundant number, because the sum of its proper divisors (278192615509248) is greater than itself. Its abundance is 171485173198848

Bases of 106707442310400

• Binary: 11000010000110011000011001100011001110100000000₂
• Hexadecimal: 0x610CC3319D00
• Base-36: 11TOQ01P1C

Squares and roots of 106707442310400

• 106707442310400 squared (106707442310400²) is 11386478244427344089948160000
• 106707442310400 cubed (106707442310400³) is 1215021970385855489762433671726628864000000
• The square root of 106707442310400 is 10329929.4436312585
• The cube root of 106707442310400 is 47431.2863989187

Scales and comparisons

• 106,707,442,310,400 seconds is equal to 3,392,966 years, 31 weeks, 13 hours, 20 minutes.
• To count from 1 to 106,707,442,310,400 would take you about eight million, four hundred eighty-two thousand, four hundred sixteen 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 106707442310400 cubic inches would be around 3952.6 feet tall.

Recreational maths with 106707442310400

• 106707442310400 backwards is 004013244707601
• The number of decimal digits it has is: 15
• The sum of 106707442310400's digits is 39
• More coming soon!