135738309168
135,738,309,168 is an even composite number composed of six prime numbers multiplied together.
What does the number 135738309168 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 720 divisors.
135738309168 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 135738309168:
24 × 33 × 7 × 112 × 23 × 1272
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 11 × 11 × 23 × 127 × 127)See below for interesting mathematical facts about the number 135738309168 from the Numbermatics database.
Names of 135738309168
- Cardinal: 135738309168 can be written as One hundred thirty-five billion, seven hundred thirty-eight million, three hundred nine thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 1.35738309168 × 1011
Factors of 135738309168
Divisors of 135738309168
- Number of divisors d(n): 720
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 23 24 27 28 33 36 42 44 46 48 54 56 63 66 69 72 77 84 88 92 99 108 112 121 126 127 132 138 144 154 161 168 176 184 189 198 207 216 231 242 252 253 254 264 276 297 308 322 336 363 368 378 381 396 414 432 462 483 484 504 506 508 528 552 594 616 621 644 693 726 756 759 762 792 828 847 889 924 966 968 1008 1012 1016 1089 1104 1143 1188 1232 1242 1288 1386 1397 1449 1452 1512 1518 1524 1584 1656 1694 1771 1778 1848 1932 1936 2024 2032 2079 2178 2277 2286 2376 2484 2541 2576 2667 2772 2783 2794 2898 2904 2921 3024 3036 3048 3267 3312 3388 3429 3542 3556 3696 3864 4048 4158 4191 4347 4356 4554 4572 4752 4968 5082 5313 5334 5544 5566 5588 5796 5808 5842 6072 6096 6534 6776 6831 6858 7084 7112 7623 7728 8001 8316 8349 8382 8694 8712 8763 9108 9144 9779 9936 10164 10626 10668 11088 11132 11176 11592 11684 12144 12573 13068 13552 13662 13716 14168 14224 15246 15367 15939 16002 16129 16632 16698 16764 17388 17424 17526 18216 18288 19481 19558 20328 20447 21252 21336 22264 22352 22869 23184 23368 24003 25047 25146 26136 26289 27324 27432 28336 29337 30492 30734 31878 32004 32131 32258 33264 33396 33528 34776 35052 36432 37719 38962 39116 40656 40894 42504 42672 44528 45738 46101 46736 47817 48006 48387 50094 50292 52272 52578 54648 54864 58443 58674 60984 61341 61468 63756 64008 64262 64516 66792 67056 69552 70104 75141 75438 77924 78232 78867 81788 85008 88011 91476 92202 95634 96012 96393 96774 100188 100584 105156 107569 109296 112903 116886 117348 121968 122682 122936 127512 128016 128524 129032 133584 138303 140208 145161 150282 150876 155848 156464 157734 163576 175329 176022 177419 182952 184023 184404 191268 192024 192786 193548 200376 201168 210312 215138 224917 225806 233772 234696 245364 245872 255024 257048 258064 264033 276606 289179 290322 300564 301752 311696 315468 322707 327152 338709 350658 352044 353441 354838 365904 368046 368808 370967 382536 384048 385572 387096 400752 414909 420624 430276 435483 449834 451612 467544 469392 490728 514096 525987 528066 532257 552069 553212 578358 580644 601128 603504 630936 645414 674751 677418 701316 704088 706882 709676 736092 737616 741934 765072 771144 774192 829818 860552 867537 870966 899668 903224 935088 968121 981456 1016127 1051974 1056132 1060323 1064514 1104138 1106424 1112901 1156716 1161288 1202256 1241933 1261872 1290828 1349502 1354836 1402632 1408176 1413764 1419352 1472184 1483868 1542288 1596771 1659636 1721104 1735074 1741932 1799336 1806448 1936242 1951609 2024253 2032254 2103948 2112264 2120646 2129028 2208276 2212848 2225802 2313432 2322576 2474087 2483866 2581656 2596769 2699004 2709672 2805264 2827528 2838704 2904363 2944368 2967736 3048381 3180969 3193542 3319272 3338703 3470148 3483864 3598672 3725799 3872484 3903218 4048506 4064508 4080637 4207896 4224528 4241292 4258056 4416552 4451604 4626864 4790313 4948174 4967732 5163312 5193538 5398008 5419344 5655056 5808726 5854827 5935472 6072759 6096762 6361938 6387084 6638544 6677406 6940296 6967728 7422261 7451598 7744968 7790307 7806436 8097012 8129016 8161274 8415792 8482584 8516112 8833104 8903208 9542907 9580626 9896348 9935464 10016109 10387076 10796016 11177397 11617452 11709654 12145518 12193524 12241911 12723876 12774168 13354812 13661263 13880592 14844522 14903196 15489936 15580614 15612872 16194024 16258032 16322548 16965168 17564481 17806416 19085814 19161252 19792696 19870928 20032218 20774152 22266783 22354794 23234904 23370921 23419308 24291036 24387048 24483822 25447752 25548336 26709624 27322526 28564459 29689044 29806392 31161228 31225744 32388048 32645096 33532191 35128962 36725733 38171628 38322504 39585392 40064436 40983789 41548304 44533566 44709588 44887007 46469808 46741842 46838616 48582072 48774096 48967644 50895504 52693443 53419248 54645052 57128918 59378088 59612784 62322456 65290192 66800349 67064382 70112763 70257924 73451466 76343256 76645008 80128872 81967578 85693377 89067132 89419176 89774014 93483684 93677232 97164144 97935288 105386886 109290104 110177199 114257836 118756176 122951367 124644912 133600698 134128764 134661021 140225526 140515848 146902932 152686512 160257744 163935156 171386754 178134264 178838352 179548028 186967368 195870576 210773772 218580208 220354398 228515672 245902734 257080131 267201396 268257528 269322042 280451052 281031696 293805864 314209049 327870312 342773508 356268528 359096056 368854101 373934736 403983063 421547544 440708796 457031344 491805468 514160262 534402792 536515056 538644084 560902104 587611728 628418098 655740624 685547016 718192112 737708202 771240393 807966126 843095088 881417592 942627147 983610936 1028320524 1068805584 1077288168 1121804208 1211949189 1256836196 1371094032 1475416404 1542480786 1615932252 1762835184 1885254294 1967221872 2056641048 2154576336 2423898378 2513672392 2827881441 2950832808 3084961572 3231864504 3770508588 4113282096 4847796756 5027344784 5655762882 5901665616 6169923144 6463729008 7541017176 8483644323 9695593512 11311525764 12339846288 15082034352 16967288646 19391187024 22623051528 33934577292 45246103056 67869154584 135738309168
- Sum of all divisors σ(n): 514772052480
- Sum of proper divisors (its aliquot sum) s(n): 379033743312
- 135738309168 is an abundant number, because the sum of its proper divisors (379033743312) is greater than itself. Its abundance is 243295434144
Bases of 135738309168
- Binary: 11111100110101010001000111010001100002
- Hexadecimal: 0x1F9AA23A30
- Base-36: 1QCV31O0
Squares and roots of 135738309168
- 135738309168 squared (1357383091682) is 18424888575787552852224
- 135738309168 cubed (1357383091683) is 2500963221886202048141321528389632
-
The
square root of 135738309168 is 368426.8029989133 -
The
cube root of 135738309168 is 5139.2626280525
Scales and comparisons
How big is 135738309168?- 135,738,309,168 seconds is equal to 4,316 years, 3 weeks, 5 hours, 52 minutes, 48 seconds.
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To count from 1 to 135,738,309,168 would take you about eight thousand, six hundred thirty-two 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 135738309168 cubic inches would be around 428.3 feet tall.
Recreational maths with 135738309168
- 135738309168 backwards is 861903837531
- 135738309168 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135738309168's digits is 54
- More coming soon!
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The information we have on file for 135738309168 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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