135314418585120

Names of 135314418585120

• Cardinal: 135314418585120 can be written as One hundred thirty-five trillion, three hundred fourteen billion, four hundred eighteen million, five hundred eighty-five thousand, one hundred twenty.

Scientific notation

• Scientific notation: 1.3531441858512 × 10¹⁴

Factors of 135314418585120

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 37224

Divisors of 135314418585120

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 43 48 57 60 76 80 86 95 96 114 120 129 152 160 172 190 215 228 240 258 285 304 344 380 430 456 480 516 570 608 645 688 760 817 860 912 1032 1140 1290 1376 1520 1634 1720 1824 2064 2280 2451 2580 3040 3268 3440 4085 4128 4560 4902 5160 6536 6880 8170 9120 9804 10320 12255 13072 16340 18439 18713 19608 20640 24510 26144 32680 36878 37426 39216 49020 55317 56139 65360 73756 74852 78432 92195 93565 98040 110634 112278 130720 147512 149704 184390 187130 196080 221268 224556 276585 280695 295024 299408 350341 355547 368780 374260 392160 442536 449112 553170 561390 590048 598816 700682 711094 737560 748520 792877 804659 885072 898224 1051023 1066641 1106340 1122780 1401364 1422188 1475120 1497040 1585754 1609318 1751705 1770144 1777735 1796448 2102046 2133282 2212680 2245560 2378631 2413977 2802728 2844376 2950240 2994080 3171508 3218636 3503410 3555470 3964385 4023295 4204092 4266564 4425360 4491120 4757262 4827954 5255115 5333205 5605456 5688752 6343016 6437272 7006820 7110940 7928770 8046590 8408184 8533128 8850720 8982240 9514524 9655908 10510230 10666410 11210912 11377504 11893155 12069885 12686032 12874544 14013640 14221880 15064663 15288521 15857540 16093180 16816368 17066256 19029048 19311816 21020460 21332820 23786310 24139770 25372064 25749088 28027280 28443760 30129326 30577042 31715080 32186360 33632736 34132512 38058096 38623632 42040920 42665640 45193989 45865563 47572620 48279540 56054560 56887520 60258652 61154084 63430160 64372720 75323315 76116192 76442605 77247264 84081840 85331280 90387978 91731126 95145240 96559080 120517304 122308168 126860320 128745440 150646630 152885210 168163680 170662560 180775956 183462252 190290480 193118160 225969945 229327815 241034608 244616336 301293260 305770420 345049007 361551912 366924504 380580960 386236320 451939890 458655630 482069216 489232672 602586520 611540840 690098014 723103824 733849008 903879780 917311260 1035147021 1205173040 1223081680 1380196028 1446207648 1467698016 1725245035 1807759560 1834622520 2070294042 2410346080 2446163360 2760392056 3450490070 3615519120 3669245040 4140588084 5175735105 5520784112 6555931133 6900980140 7231038240 7338490080 8281176168 10351470210 11041568224 13111862266 13801960280 14837107301 16562352336 19667793399 20702940420 26223724532 27603920560 29674214602 32779655665 33124704672 39335586798 41405880840 44511321903 52447449064 55207841120 59348429204 65559311330 74185536505 78671173596 82811761680 89022643806 98338966995 104894898128 118696858408 131118622660 148371073010 157342347192 165623523360 178045287612 196677933990 209789796256 222556609515 237393716816 262237245320 281905038719 296742146020 314684694384 356090575224 393355867980 445113219030 474787433632 524474490640 563810077438 593484292040 629369388768 712181150448 786711735960 845715116157 890226438060 1048948981280 1127620154876 1186968584080 1409525193595 1424362300896 1573423471920 1691430232314 1780452876120 2255240309752 2373937168160 2819050387190 3146846943840 3382860464628 3560905752240 4228575580785 4510480619504 5638100774380 6765720929256 7121811504480 8457151161570 9020961239008 11276201548760 13531441858512 16914302323140 22552403097520 27062883717024 33828604646280 45104806195040 67657209292560 135314418585120
• Sum of all divisors σ(n): 459157841049600
• Sum of proper divisors (its aliquot sum) s(n): 323843422464480
• 135314418585120 is an abundant number, because the sum of its proper divisors (323843422464480) is greater than itself. Its abundance is 188529003879360

Bases of 135314418585120

• Binary: 11110110001000101010111110110100100111000100000₂
• Hexadecimal: 0x7B1157DA4E20
• Base-36: 1BYQL33ZMO

Squares and roots of 135314418585120

• 135314418585120 squared (135314418585120²) is 18309991877029068862685414400
• 135314418585120 cubed (135314418585120³) is 2477605905138458469323447539559308873728000
• The square root of 135314418585120 is 11632472.5912043309
• The cube root of 135314418585120 is 51339.0733157075

Scales and comparisons

• 135,314,418,585,120 seconds is equal to 4,302,579 years, 49 weeks, 4 days, 23 hours, 52 minutes.
• To count from 1 to 135,314,418,585,120 would take you about ten million, seven hundred fifty-six thousand, four hundred forty-nine 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 135314418585120 cubic inches would be around 4278.3 feet tall.

Recreational maths with 135314418585120

• 135314418585120 backwards is 021585814413531
• The number of decimal digits it has is: 15
• The sum of 135314418585120's digits is 51
• More coming soon!