135313434144
135,313,434,144 is an even composite number composed of four prime numbers multiplied together.
135313434144 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 135313434144:
25 × 38 × 73 × 1879
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 1879)See below for interesting mathematical facts about the number 135313434144 from the Numbermatics database.
Names of 135313434144
- Cardinal: 135313434144 can be written as One hundred thirty-five billion, three hundred thirteen million, four hundred thirty-four thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.35313434144 × 1011
Factors of 135313434144
Divisors of 135313434144
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 81 84 96 98 108 112 126 144 147 162 168 189 196 216 224 243 252 288 294 324 336 343 378 392 432 441 486 504 567 588 648 672 686 729 756 784 864 882 972 1008 1029 1134 1176 1296 1323 1372 1458 1512 1568 1701 1764 1879 1944 2016 2058 2187 2268 2352 2592 2646 2744 2916 3024 3087 3402 3528 3758 3888 3969 4116 4374 4536 4704 5103 5292 5488 5637 5832 6048 6174 6561 6804 7056 7516 7776 7938 8232 8748 9072 9261 10206 10584 10976 11274 11664 11907 12348 13122 13153 13608 14112 15032 15309 15876 16464 16911 17496 18144 18522 20412 21168 22548 23328 23814 24696 26244 26306 27216 27783 30064 30618 31752 32928 33822 34992 35721 37044 39459 40824 42336 45096 45927 47628 49392 50733 52488 52612 54432 55566 60128 61236 63504 67644 69984 71442 74088 78918 81648 83349 90192 91854 92071 95256 98784 101466 104976 105224 107163 111132 118377 122472 127008 135288 142884 148176 152199 157836 163296 166698 180384 183708 184142 190512 202932 209952 210448 214326 222264 236754 244944 250047 270576 276213 285768 296352 304398 315672 321489 333396 355131 367416 368284 381024 405864 420896 428652 444528 456597 473508 489888 500094 541152 552426 571536 608796 631344 642978 644497 666792 710262 734832 736568 750141 811728 828639 857304 889056 913194 947016 1000188 1065393 1104852 1143072 1217592 1262688 1285956 1288994 1333584 1369791 1420524 1469664 1473136 1500282 1623456 1657278 1714608 1826388 1894032 1933491 2000376 2130786 2209704 2250423 2435184 2485917 2571912 2577988 2667168 2739582 2841048 2946272 3000564 3196179 3314556 3429216 3652776 3788064 3866982 4000752 4109373 4261572 4419408 4500846 4870368 4971834 5143824 5155976 5479164 5682096 5800473 6001128 6392358 6629112 7305552 7457751 7733964 8001504 8218746 8523144 8838816 9001692 9588537 9943668 10287648 10311952 10958328 11364192 11600946 12002256 12328119 12784716 13258224 14611104 14915502 15467928 16437492 17046288 17401419 18003384 19177074 19887336 20623904 21916656 22373253 23201892 24004512 24656238 25569432 26516448 28765611 29831004 30935856 32874984 34092576 34802838 36006768 38354148 39774672 43833312 44746506 46403784 49312476 51138864 52204257 57531222 59662008 61871712 65749968 67119759 69605676 72013536 76708296 79549344 86296833 89493012 92807568 98624952 102277728 104408514 115062444 119324016 131499936 134239518 139211352 153416592 156612771 172593666 178986024 185615136 197249904 201359277 208817028 230124888 238648032 268479036 278422704 306833184 313225542 345187332 357972048 394499808 402718554 417634056 460249776 469838313 536958072 556845408 604077831 626451084 690374664 715944096 805437108 835268112 920499552 939676626 1073916144 1208155662 1252902168 1380749328 1409514939 1610874216 1670536224 1879353252 2147832288 2416311324 2505804336 2761498656 2819029878 3221748432 3758706504 4228544817 4832622648 5011608672 5638059756 6443496864 7517413008 8457089634 9665245296 11276119512 15034826016 16914179268 19330490592 22552239024 33828358536 45104478048 67656717072 135313434144
- Sum of all divisors σ(n): 466227216000
- Sum of proper divisors (its aliquot sum) s(n): 330913781856
- 135313434144 is an abundant number, because the sum of its proper divisors (330913781856) is greater than itself. Its abundance is 195600347712
Bases of 135313434144
- Binary: 11111100000010100111100100110001000002
- Hexadecimal: 0x1F814F2620
- Base-36: 1Q5U4I00
Squares and roots of 135313434144
- 135313434144 squared (1353134341442) is 18309725459842625012736
- 135313434144 cubed (1353134341443) is 2477551830205135156264939897257984
-
The
square root of 135313434144 is 367849.7439770757 -
The
cube root of 135313434144 is 5133.8948814519
Scales and comparisons
How big is 135313434144?- 135,313,434,144 seconds is equal to 4,302 years, 28 weeks, 3 days, 17 hours, 2 minutes, 24 seconds.
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To count from 1 to 135,313,434,144 would take you about eight thousand, six hundred five 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 135313434144 cubic inches would be around 427.8 feet tall.
Recreational maths with 135313434144
- 135313434144 backwards is 441434313531
- 135313434144 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135313434144's digits is 36
- More coming soon!
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