135140216400

Names of 135140216400

• Cardinal: 135140216400 can be written as One hundred thirty-five billion, one hundred forty million, two hundred sixteen thousand, four hundred.

Scientific notation

• Scientific notation: 1.351402164 × 10¹¹

Factors of 135140216400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 208

Divisors of 135140216400

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 35 36 40 42 45 48 49 50 54 56 60 63 70 72 75 80 84 90 98 100 105 108 112 120 126 135 140 144 147 150 168 175 180 189 191 196 200 210 216 225 240 245 252 270 280 294 300 315 336 343 350 360 378 382 392 400 420 432 441 450 490 504 525 540 560 573 588 600 630 675 686 700 720 735 756 764 784 840 882 900 945 955 980 1008 1029 1050 1080 1146 1176 1200 1225 1260 1323 1337 1350 1372 1400 1470 1512 1528 1575 1680 1715 1719 1764 1800 1890 1910 1960 2058 2100 2160 2205 2292 2352 2450 2520 2646 2674 2700 2744 2800 2865 2940 3024 3056 3087 3150 3430 3438 3528 3600 3675 3780 3820 3920 4011 4116 4200 4410 4584 4725 4775 4900 5040 5145 5157 5292 5348 5400 5488 5730 5880 6174 6300 6615 6685 6860 6876 7056 7350 7560 7640 8022 8232 8400 8575 8595 8820 9168 9261 9359 9450 9550 9800 10290 10314 10584 10696 10800 11025 11460 11760 12033 12348 12600 13230 13370 13720 13752 14325 14700 15120 15280 15435 16044 16464 17150 17190 17640 18522 18718 18900 19100 19600 20055 20580 20628 21168 21392 22050 22920 24066 24696 25200 25725 25785 26460 26740 27440 27504 28077 28650 29400 30870 32088 33075 33425 34300 34380 35280 36099 36481 37044 37436 37800 38200 40110 41160 41256 42975 44100 45840 46305 46795 48132 49392 51450 51570 52920 53480 56154 57300 58800 60165 61740 64176 65513 66150 66850 68600 68760 72198 72962 74088 74872 75600 76400 77175 80220 82320 82512 84231 85950 88200 92610 93590 96264 100275 102900 103140 105840 106960 109443 112308 114600 120330 123480 128925 131026 132300 133700 137200 137520 140385 144396 145924 148176 149744 154350 160440 168462 171900 176400 180495 182405 185220 187180 192528 196539 200550 205800 206280 218886 224616 229200 231525 233975 240660 246960 252693 255367 257850 262052 264600 267400 280770 288792 291848 300825 308700 320880 327565 328329 336924 343800 360990 364810 370440 374360 393078 401100 411600 412560 421155 437772 449232 463050 467950 481320 505386 510734 515700 524104 529200 534800 547215 561540 577584 583696 589617 601650 617400 655130 656658 673848 687600 701925 721980 729620 740880 748720 766101 786156 802200 842310 875544 902475 912025 926100 935900 962640 982695 984987 1010772 1021468 1031400 1048208 1094430 1123080 1179234 1203300 1234800 1263465 1276835 1310260 1313316 1347696 1403850 1443960 1459240 1532202 1572312 1604400 1637825 1641645 1684620 1751088 1768851 1787569 1804950 1824050 1852200 1871800 1965390 1969974 2021544 2042936 2062800 2105775 2188860 2246160 2298303 2358468 2406600 2526930 2553670 2620520 2626632 2736075 2807700 2887920 2918480 2948085 3064404 3144624 3275650 3283290 3369240 3537702 3575138 3609900 3648100 3704400 3743600 3830505 3930780 3939948 4043088 4085872 4211550 4377720 4596606 4716936 4813200 4913475 4924935 5053860 5107340 5241040 5253264 5362707 5472150 5615400 5896170 6128808 6317325 6384175 6551300 6566580 6738480 6894909 7075404 7150276 7219800 7296200 7661010 7861560 7879896 8208225 8423100 8755440 8844255 8937845 9193212 9433872 9826950 9849870 10107720 10214680 10725414 10944300 11230800 11491515 11792340 12257616 12512983 12634650 12768350 13102600 13133160 13789818 14150808 14300552 14439600 14592400 14740425 15322020 15723120 15759792 16088121 16416450 16846200 17688510 17875690 18386424 19152525 19653900 19699740 20215440 20429360 21450828 21888600 22983030 23584680 24624675 25025966 25269300 25536700 26205200 26266320 26813535 27579636 28301616 28601104 29480850 30644040 32176242 32832900 33692400 34474545 35377020 35751380 36772848 37538949 38305050 39307800 39399480 42901656 43777200 44221275 44689225 45966060 47169360 48264363 49249350 50051932 50538600 51073400 53627070 55159272 57457575 58961700 61288080 62564915 64352484 65665800 68949090 70754040 71502760 75077898 76610100 78615600 78798960 80440605 85803312 88442550 89378450 91932120 96528726 98498700 100103864 101077200 102146800 107254140 110318544 112616847 114915150 117923400 125129830 128704968 131331600 134067675 137898180 141508080 143005520 150155796 153220200 160881210 172372725 176885100 178756900 183864240 187694745 193057452 196997400 200207728 214508280 225233694 229830300 235846800 241321815 250259660 257409936 268135350 275796360 300311592 306440400 312824575 321762420 337850541 344745450 353770200 357513800 375389490 386114904 393994800 402203025 429016560 450467388 459660600 482643630 500519320 536270700 551592720 563084235 600623184 625649150 643524840 675701082 689490900 707540400 715027600 750778980 772229808 804406050 900934776 919321200 938473725 965287260 1001038640 1072541400 1126168470 1206609075 1251298300 1287049680 1351402164 1378981800 1501557960 1608812100 1689252705 1801869552 1876947450 1930574520 2145082800 2252336940 2413218150 2502596600 2702804328 2757963600 2815421175 3003115920 3217624200 3378505410 3753894900 3861149040 4504673880 4826436300 5005193200 5405608656 5630842350 6435248400 6757010820 7507789800 8446263525 9009347760 9652872600 11261684700 13514021640 15015579600 16892527050 19305745200 22523369400 27028043280 33785054100 45046738800 67570108200 135140216400
• Sum of all divisors σ(n): 563884048000
• Sum of proper divisors (its aliquot sum) s(n): 428743831600
• 135140216400 is an abundant number, because the sum of its proper divisors (428743831600) is greater than itself. Its abundance is 293603615200

Bases of 135140216400

• Binary: 1111101110110111111000000111001010000₂
• Hexadecimal: 0x1F76FC0E50
• Base-36: 1Q2YZUC0

Squares and roots of 135140216400

• 135140216400 squared (135140216400²) is 18262878088638828960000
• 135140216400 cubed (135140216400³) is 2468049296985469727096986944000000
• The square root of 135140216400 is 367614.2222493575
• The cube root of 135140216400 is 5131.7032749099

Scales and comparisons

• 135,140,216,400 seconds is equal to 4,297 years, 2 weeks, 21 hours.
• To count from 1 to 135,140,216,400 would take you about eight thousand, five hundred ninety-four 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 135140216400 cubic inches would be around 427.6 feet tall.

Recreational maths with 135140216400

• 135140216400 backwards is 004612041531
• 135140216400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 135140216400's digits is 27
• More coming soon!