135238200480
135,238,200,480 is an even composite number composed of seven prime numbers multiplied together.
What does the number 135238200480 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
135238200480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 135238200480:
25 × 33 × 5 × 23 × 53 × 61 × 421
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 23 × 53 × 61 × 421)See below for interesting mathematical facts about the number 135238200480 from the Numbermatics database.
Names of 135238200480
- Cardinal: 135238200480 can be written as One hundred thirty-five billion, two hundred thirty-eight million, two hundred thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3523820048 × 1011
Factors of 135238200480
Divisors of 135238200480
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 32 36 40 45 46 48 53 54 60 61 69 72 80 90 92 96 106 108 115 120 122 135 138 144 159 160 180 183 184 207 212 216 230 240 244 265 270 276 288 305 318 345 360 366 368 414 421 424 432 460 477 480 488 530 540 549 552 610 621 636 690 720 732 736 795 828 842 848 864 915 920 954 976 1035 1060 1080 1098 1104 1219 1220 1242 1263 1272 1380 1403 1431 1440 1464 1590 1647 1656 1684 1696 1830 1840 1908 1952 2070 2105 2120 2160 2196 2208 2385 2438 2440 2484 2526 2544 2745 2760 2806 2862 2928 3105 3180 3233 3294 3312 3368 3657 3660 3680 3789 3816 4140 4209 4210 4240 4320 4392 4770 4876 4880 4968 5052 5088 5490 5520 5612 5724 5856 6095 6210 6315 6360 6466 6588 6624 6736 7015 7155 7314 7320 7578 7632 8235 8280 8418 8420 8480 8784 9540 9683 9699 9752 9760 9936 10104 10971 10980 11040 11224 11367 11448 12190 12420 12627 12630 12720 12932 13176 13472 14030 14310 14628 14640 15156 15264 16165 16470 16560 16836 16840 17568 18285 18945 19080 19366 19398 19504 19872 20208 21045 21942 21960 22313 22448 22734 22896 24380 24840 25254 25260 25440 25681 25864 26352 28060 28620 29049 29097 29256 29280 30312 32330 32913 32940 33120 33672 33680 36570 37881 37890 38160 38732 38796 39008 40416 42090 43884 43920 44626 44896 45468 45792 48415 48495 48760 49680 50508 50520 51362 51728 52704 54855 56120 56835 57240 58098 58194 58512 60624 63135 64660 65826 65880 66939 67344 67360 73140 74359 75762 75780 76320 77043 77464 77592 84180 87147 87291 87768 87840 89252 90936 96830 96990 97520 99360 101016 101040 102724 103456 109710 111565 112240 113670 114480 116196 116388 117024 121248 126270 128405 129320 131652 131760 133878 134688 145245 145485 146280 148718 151524 151560 154086 154928 155184 164565 168360 174294 174582 175536 178504 181872 189405 193660 193980 195040 200817 202032 202080 205448 219420 223077 223130 224480 227340 228960 231129 232392 232776 252540 256810 258640 261441 263304 263520 267756 290490 290970 292560 297436 303048 303120 308172 309856 310368 329130 334695 336720 348588 349164 351072 357008 363744 371795 378810 385215 387320 387960 401634 404064 410896 435735 436455 438840 446154 446260 454680 462258 464784 465552 505080 513199 513620 517280 522882 526608 535512 580980 581940 585120 590663 594872 602451 606096 606240 616344 658260 669231 669390 673440 693387 697176 698328 714016 743590 757620 770430 774640 775920 803268 821792 871470 872910 877680 892308 892520 909360 924516 929568 931104 1004085 1010160 1026398 1027240 1045764 1053216 1071024 1115385 1155645 1161960 1163880 1181326 1189744 1204902 1212192 1232688 1307205 1316520 1338462 1338780 1361093 1386774 1394352 1396656 1487180 1515240 1539597 1540860 1549280 1551840 1606536 1742940 1745820 1755360 1771989 1784616 1785040 1818720 1849032 2007693 2008170 2020320 2052796 2054480 2091528 2142048 2230770 2311290 2323920 2327760 2362652 2379488 2409804 2465376 2565995 2614410 2633040 2676924 2677560 2722186 2773548 2788704 2793312 2953315 2974360 3012255 3030480 3079194 3081720 3213072 3346155 3466935 3485880 3491640 3543978 3569232 3570080 3698064 4015386 4016340 4083279 4105592 4108960 4183056 4461540 4618791 4622580 4647840 4655520 4725304 4819608 5131990 5228820 5266080 5315967 5353848 5355120 5444372 5547096 5906630 5948720 6024510 6060960 6158388 6163440 6426144 6692310 6805465 6933870 6971760 6983280 7087956 7138464 7396128 7697985 8030772 8032680 8166558 8211184 8366112 8859945 8923080 9237582 9245160 9450608 9639216 10038465 10263980 10457640 10631934 10707696 10710240 10888744 11094192 11813260 11897440 12049020 12249837 12316776 12326880 13384620 13610930 13856373 13867740 13943520 13966560 14175912 15395970 15947901 16061544 16065360 16333116 16422368 17719890 17846160 18475164 18490320 18901216 19278432 20076930 20416395 20527960 20915280 21263868 21415392 21777488 22188384 23093955 23626520 24098040 24499674 24633552 26579835 26769240 27221860 27712746 27735480 28351824 30791940 31305139 31895802 32123088 32130720 32666232 35439780 35692320 36749511 36950328 36980640 40153860 40832790 41055920 41830560 42527736 43554976 46187910 47253040 48196080 48999348 49267104 53159670 53538480 54443720 55425492 55470960 56703648 61249185 61583880 62610278 63791604 64246176 65332464 69281865 70879560 73499022 73900656 79739505 80307720 81665580 82111840 85055472 92375820 93915417 94506080 96392160 97998696 106319340 107076960 108887440 110850984 110941920 122498370 123167760 125220556 127583208 130664928 138563730 141759120 146998044 147801312 156525695 159479010 160615440 163331160 170110944 183747555 184751640 187830834 195997392 212638680 217774880 221701968 244996740 246335520 250441112 255166416 277127460 281746251 283518240 293996088 313051390 318958020 321230880 326662320 367495110 369503280 375661668 391994784 425277360 443403936 469577085 489993480 500882224 510332832 554254920 563492502 587992176 626102780 637916040 653324640 734990220 739006560 751323336 845238753 850554720 939154170 979986960 1001764448 1108509840 1126985004 1175984352 1252205560 1275832080 1408731255 1469980440 1502646672 1690477506 1878308340 1959973920 2217019680 2253970008 2504411120 2551664160 2817462510 2939960880 3005293344 3380955012 3756616680 4226193765 4507940016 5008822240 5634925020 5879921760 6761910024 7513233360 8452387530 9015880032 11269850040 13523820048 15026466720 16904775060 22539700080 27047640096 33809550120 45079400160 67619100240 135238200480
- Sum of all divisors σ(n): 512697185280
- Sum of proper divisors (its aliquot sum) s(n): 377458984800
- 135238200480 is an abundant number, because the sum of its proper divisors (377458984800) is greater than itself. Its abundance is 242220784320
Bases of 135238200480
- Binary: 11111011111001101001100101100101000002
- Hexadecimal: 0x1F7CD32CA0
- Base-36: 1Q4LBZC0
Squares and roots of 135238200480
- 135238200480 squared (1352382004802) is 18289370869068672230400
- 135238200480 cubed (1352382004803) is 2473421604244180925982243950592000
-
The
square root of 135238200480 is 367747.4683529447 -
The
cube root of 135238200480 is 5132.9432308639
Scales and comparisons
How big is 135238200480?- 135,238,200,480 seconds is equal to 4,300 years, 8 weeks, 22 hours, 48 minutes.
-
To count from 1 to 135,238,200,480 would take you about eight thousand, six hundred 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 135238200480 cubic inches would be around 427.7 feet tall.
Recreational maths with 135238200480
- 135238200480 backwards is 084002832531
- 135238200480 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135238200480's digits is 36
- More coming soon!
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"Number 135238200480 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 135238200480 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/135238200480/
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The information we have on file for 135238200480 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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