135480609600
135,480,609,600 is an even composite number composed of seven prime numbers multiplied together.
What does the number 135480609600 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1344 divisors.
135480609600 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 135480609600:
26 × 3 × 52 × 73 × 19 × 61 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 7 × 19 × 61 × 71)See below for interesting mathematical facts about the number 135480609600 from the Numbermatics database.
Names of 135480609600
- Cardinal: 135480609600 can be written as One hundred thirty-five billion, four hundred eighty million, six hundred nine thousand, six hundred.
Scientific notation
- Scientific notation: 1.354806096 × 1011
Factors of 135480609600
Divisors of 135480609600
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 25 28 30 32 35 38 40 42 48 49 50 56 57 60 61 64 70 71 75 76 80 84 95 96 98 100 105 112 114 120 122 133 140 142 147 150 152 160 168 175 183 190 192 196 200 210 213 224 228 240 244 245 266 280 284 285 294 300 304 305 320 336 343 350 355 366 380 392 399 400 420 426 427 448 456 475 480 488 490 497 525 532 560 568 570 588 600 608 610 665 672 686 700 710 732 735 760 784 798 800 840 852 854 912 915 931 950 960 976 980 994 1029 1050 1064 1065 1120 1136 1140 1159 1176 1200 1216 1220 1225 1281 1330 1344 1349 1372 1400 1420 1425 1464 1470 1491 1520 1525 1568 1596 1600 1680 1704 1708 1715 1775 1824 1830 1862 1900 1952 1960 1988 1995 2058 2100 2128 2130 2135 2240 2272 2280 2318 2352 2400 2440 2450 2485 2562 2660 2698 2744 2793 2800 2840 2850 2928 2940 2982 2989 3040 3050 3136 3192 3325 3360 3408 3416 3430 3477 3479 3550 3648 3660 3675 3724 3800 3904 3920 3976 3990 4047 4116 4200 4256 4260 4270 4331 4544 4560 4575 4636 4655 4704 4800 4880 4900 4970 5124 5145 5320 5325 5396 5488 5586 5600 5680 5700 5795 5856 5880 5964 5978 6080 6100 6384 6405 6517 6650 6720 6745 6816 6832 6860 6954 6958 7100 7320 7350 7448 7455 7600 7840 7952 7980 8094 8113 8232 8400 8512 8520 8540 8575 8662 8967 9120 9150 9272 9310 9408 9443 9760 9800 9940 9975 10248 10290 10437 10640 10650 10675 10792 10976 11172 11200 11360 11400 11590 11712 11760 11928 11956 12200 12425 12768 12810 12993 13034 13300 13490 13632 13664 13720 13908 13916 13965 14200 14640 14700 14896 14910 14945 15200 15680 15904 15960 16188 16226 16464 16800 17040 17080 17150 17324 17385 17395 17934 18240 18300 18544 18620 18886 19520 19551 19600 19880 19950 20235 20496 20580 20874 20923 21280 21300 21350 21584 21655 21952 22344 22720 22800 23180 23275 23520 23856 23912 24339 24353 24400 24850 25536 25620 25725 25986 26068 26600 26980 27328 27440 27816 27832 27930 28329 28400 28975 29280 29400 29792 29820 29890 30317 30400 31808 31920 32025 32376 32452 32585 32928 33600 33725 34080 34160 34300 34648 34770 34790 35868 36600 37088 37240 37275 37772 39102 39200 39760 39900 40470 40565 40992 41160 41748 41846 42560 42600 42700 43168 43310 44688 44835 45600 46360 46550 47040 47215 47712 47824 48678 48706 48800 49700 51240 51450 51972 52136 52185 53200 53960 54880 55632 55664 55860 56658 56791 56800 57950 58560 58800 59584 59640 59780 60634 62769 63840 64050 64752 64904 64965 65170 65856 66101 67450 68160 68320 68600 69296 69540 69580 69825 71736 73059 73200 74176 74480 74550 74725 75544 78204 78400 79520 79800 80940 81130 81984 82289 82320 83496 83692 85200 85400 86336 86620 86925 86975 89376 89670 90951 91200 92720 93100 94430 95424 95648 97356 97412 97600 97755 99400 101175 102480 102900 103944 104272 104370 104615 106400 107920 108275 109760 111264 111328 111720 113316 113582 113600 115900 117600 119280 119560 121268 121695 121765 125538 127680 128100 129504 129808 129930 130340 132202 134900 136640 137200 138592 139080 139160 139650 141645 143472 146118 146400 148960 149100 149450 151088 151585 156408 159040 159600 161880 162260 162925 164578 164640 166992 167384 170373 170400 170800 173240 173850 173950 178752 179340 181902 185440 186200 188860 191296 194712 194824 195510 198303 198800 202350 202825 204960 205800 207888 208544 208740 209230 212219 212800 215840 216550 222528 222656 223440 224175 226632 227164 231800 235200 236075 238560 239120 242536 243390 243530 246867 251076 256200 259008 259616 259860 260680 260925 264404 269800 274400 277184 278160 278320 279300 283290 283955 286944 292236 292800 297920 298200 298900 302176 303170 312816 313845 319200 323760 324520 324825 325850 329156 329280 330505 333984 334768 340746 340800 341600 346480 347700 347900 358680 363804 365295 370880 372400 377720 389424 389648 391020 396606 397537 397600 404700 405650 409920 411445 411600 415776 417088 417480 418460 424438 431680 433100 446880 448350 453264 454328 454755 462707 463600 472150 477120 478240 485072 486780 487060 488775 493734 502152 512400 519232 519720 521360 521850 523075 528808 539600 548800 556320 556640 558600 566580 567910 573888 576023 584472 596400 597800 604352 606340 608475 608825 625632 627690 636657 638400 647520 649040 649650 651700 658312 661010 667968 669536 681492 683200 692960 695400 695800 708225 717360 727608 730590 744800 755440 757925 778848 779296 782040 793212 795074 795200 809400 811300 822890 823200 831552 834960 836920 848876 851865 866200 893760 896700 906528 908656 909510 925414 927200 944300 956480 970144 973560 974120 977550 987468 991515 1004304 1024800 1039440 1042720 1043700 1046150 1057616 1061095 1079200 1112640 1113280 1117200 1133160 1135820 1152046 1168944 1192611 1192800 1195600 1212680 1216950 1217650 1234335 1251264 1255380 1273314 1295040 1298080 1299300 1303400 1316624 1322020 1339072 1362984 1385920 1388121 1390800 1391600 1416450 1419775 1434720 1455216 1461180 1485533 1489600 1510880 1515850 1557696 1558592 1564080 1569225 1586424 1590148 1618800 1622600 1645780 1646400 1652525 1669920 1673840 1697752 1703730 1728069 1732400 1793400 1813056 1817312 1819020 1826475 1850828 1854400 1888600 1940288 1947120 1948240 1955100 1974936 1983030 1987685 2008608 2049600 2057225 2078880 2085440 2087400 2092300 2115232 2122190 2158400 2234400 2266320 2271640 2273775 2304092 2313535 2337888 2385222 2385600 2391200 2425360 2433900 2435300 2468670 2510760 2546628 2596160 2598600 2606800 2633248 2644040 2725968 2776242 2781600 2783200 2832900 2839550 2869440 2880115 2910432 2922360 2971066 3021760 3031700 3128160 3138450 3172848 3180296 3183285 3237600 3245200 3291560 3305050 3339840 3347680 3395504 3407460 3456138 3464800 3586800 3634624 3638040 3652950 3701656 3777200 3894240 3896480 3910200 3949872 3966060 3975370 4017216 4032161 4114450 4157760 4174800 4184600 4230464 4244380 4259325 4456599 4468800 4532640 4543280 4547550 4608184 4627070 4675776 4770444 4782400 4850720 4867800 4870600 4937340 4957575 5021520 5093256 5197200 5213600 5266496 5288080 5305475 5451936 5552484 5563200 5566400 5665800 5679100 5760230 5820864 5844720 5942132 5963055 6063400 6171675 6256320 6276900 6345696 6360592 6366570 6475200 6490400 6583120 6610100 6695360 6791008 6814920 6912276 6929600 6940605 7173600 7276080 7305900 7403312 7427665 7554400 7788480 7792960 7820400 7899744 7932120 7950740 8064322 8228900 8349600 8369200 8488760 8518650 8640345 8913198 9065280 9086560 9095100 9216368 9254140 9540888 9701440 9735600 9741200 9874680 9915150 9938425 10043040 10186512 10394400 10427200 10576160 10610950 10903872 11104968 11331600 11358200 11520460 11567675 11689440 11884264 11926110 12096483 12126800 12343350 12553800 12691392 12721184 12733140 12980800 13166240 13220200 13582016 13629840 13824552 13881210 14347200 14400575 14552160 14611800 14806624 14855330 15108800 15640800 15799488 15864240 15901480 15916425 16128644 16457800 16699200 16738400 16977520 17037300 17280690 17826396 18173120 18190200 18432736 18508280 19081776 19471200 19482400 19749360 19830300 19876850 20086080 20160805 20373024 20788800 21152320 21221900 22209936 22282995 22663200 22716400 23040920 23135350 23378880 23768528 23852220 24192966 24253600 24686700 25107600 25442368 25466280 26332480 26440400 27259680 27649104 27762420 28225127 28801150 29104320 29223600 29613248 29710660 29815275 31281600 31728480 31802960 31832850 32257288 32915600 33476800 33955040 34074600 34561380 34703025 35652792 36380400 36865472 37016560 37138325 38163552 38942400 38964800 39498720 39660600 39753700 40321610 40746048 42443800 43201725 44419872 44565990 45326400 45432800 46081840 46270700 47537056 47704440 48385932 48507200 49373400 50215200 50932560 52880800 54519360 55298208 55524840 56450254 57602300 58447200 59421320 59630550 60482415 63456960 63605920 63665700 64514576 65831200 67910080 68149200 69122760 69406050 71305584 72760800 74033120 74276650 76327104 78997440 79321200 79507400 80643220 84675381 84887600 86403450 88839744 89131980 90865600 92163680 92541400 95074112 95408880 96771864 98746800 100430400 100804025 101865120 105761600 110596416 111049680 111414975 112900508 115204600 116894400 118842640 119261100 120964830 127211840 127331400 129029152 131662400 136298400 138245520 138812100 141125635 142611168 145521600 148066240 148553300 158642400 159014800 161286440 169350762 169775200 172806900 178263960 184327360 185082800 190817760 193543728 197493600 201608050 203730240 222099360 222829950 225801016 230409200 237685280 238522200 241929660 254662800 258058304 272596800 276491040 277624200 282251270 285222336 297106600 302412075 317284800 318029600 322572880 338701524 339550400 345613800 356527920 370165600 381635520 387087456 394987200 403216100 423376905 444198720 445659900 451602032 460818400 475370560 477044400 483859320 509325600 552982080 555248400 564502540 594213200 604824150 636059200 645145760 677403048 691227600 705628175 713055840 740331200 774174912 806432200 846753810 891319800 903204064 921636800 954088800 967718640 1018651200 1110496800 1129005080 1188426400 1209648300 1290291520 1354806096 1382455200 1411256350 1426111680 1612864400 1693507620 1782639600 1806408128 1908177600 1935437280 2116884525 2220993600 2258010160 2376852800 2419296600 2709612192 2764910400 2822512700 3225728800 3387015240 3565279200 3870874560 4233769050 4516020320 4838593200 5419224384 5645025400 6451457600 6774030480 7130558400 8467538100 9032040640 9677186400 11290050800 13548060960 16935076200 19354372800 22580101600 27096121920 33870152400 45160203200 67740304800 135480609600
- Sum of all divisors σ(n): 562392576000
- Sum of proper divisors (its aliquot sum) s(n): 426911966400
- 135480609600 is an abundant number, because the sum of its proper divisors (426911966400) is greater than itself. Its abundance is 291431356800
Bases of 135480609600
- Binary: 11111100010110100011000001011010000002
- Hexadecimal: 0x1F8B460B40
- Base-36: 1Q8LNNEO
Squares and roots of 135480609600
- 135480609600 squared (1354806096002) is 18354995577587612160000
- 135480609600 cubed (1354806096003) is 2486745990056873792845172736000000
-
The
square root of 135480609600 is 368076.9071810945 -
The
cube root of 135480609600 is 5136.0082661137
Scales and comparisons
How big is 135480609600?- 135,480,609,600 seconds is equal to 4,307 years, 44 weeks, 6 days, 14 hours, 40 minutes.
-
To count from 1 to 135,480,609,600 would take you about eight thousand, six hundred fifteen 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 135480609600 cubic inches would be around 428 feet tall.
Recreational maths with 135480609600
- 135480609600 backwards is 006906084531
- 135480609600 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135480609600's digits is 42
- More coming soon!
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The information we have on file for 135480609600 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!
Keywords: Divisors of 135480609600, math, Factors of 135480609600, curriculum, school, college, exams, university, Prime factorization of 135480609600, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five billion, four hundred eighty million, six hundred nine thousand, six hundred.