135385214400
135,385,214,400 is an even composite number composed of six prime numbers multiplied together.
135385214400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred seventy-six divisors.
Prime factorization of 135385214400:
26 × 36 × 52 × 19 × 41 × 149
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 19 × 41 × 149)See below for interesting mathematical facts about the number 135385214400 from the Numbermatics database.
Names of 135385214400
- Cardinal: 135385214400 can be written as One hundred thirty-five billion, three hundred eighty-five million, two hundred fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.353852144 × 1011
Factors of 135385214400
Divisors of 135385214400
- Number of divisors d(n): 1176
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 32 36 38 40 41 45 48 50 54 57 60 64 72 75 76 80 81 82 90 95 96 100 108 114 120 123 135 144 149 150 152 160 162 164 171 180 190 192 200 205 216 225 228 240 243 246 270 285 288 298 300 304 320 324 328 342 360 369 380 400 405 410 432 447 450 456 475 480 486 492 513 540 570 576 596 600 608 615 648 656 675 684 720 729 738 745 760 779 800 810 820 855 864 894 900 912 950 960 972 984 1025 1026 1080 1107 1140 1192 1200 1215 1216 1230 1296 1312 1341 1350 1368 1425 1440 1458 1476 1490 1520 1539 1558 1600 1620 1640 1710 1728 1788 1800 1824 1845 1900 1944 1968 2025 2050 2052 2160 2214 2235 2280 2337 2384 2400 2430 2460 2565 2592 2624 2682 2700 2736 2831 2850 2880 2916 2952 2980 3040 3075 3078 3116 3240 3280 3321 3420 3576 3600 3645 3648 3690 3725 3800 3888 3895 3936 4023 4050 4100 4104 4275 4320 4428 4470 4560 4617 4674 4768 4800 4860 4920 5130 5184 5364 5400 5472 5535 5662 5700 5832 5904 5960 6075 6080 6109 6150 6156 6232 6480 6560 6642 6705 6840 7011 7152 7200 7290 7380 7450 7600 7695 7776 7790 7872 8046 8100 8200 8208 8493 8550 8640 8856 8940 9120 9225 9234 9348 9536 9720 9840 9963 10260 10728 10800 10944 11070 11175 11324 11400 11664 11685 11808 11920 12069 12150 12218 12300 12312 12464 12825 12960 13120 13284 13410 13680 13851 14022 14155 14304 14400 14580 14760 14900 15200 15390 15552 15580 16092 16200 16400 16416 16605 16986 17100 17712 17880 18225 18240 18327 18450 18468 18696 19440 19475 19680 19926 20115 20520 21033 21456 21600 22140 22350 22648 22800 23085 23328 23370 23616 23840 24138 24300 24436 24600 24624 24928 25479 25650 25920 26568 26820 27360 27675 27702 28044 28310 28608 29160 29520 29800 29889 30400 30545 30780 31160 32184 32400 32800 32832 33210 33525 33972 34200 35055 35424 35760 36207 36450 36654 36900 36936 37392 38475 38880 38950 39360 39852 40230 41040 42066 42465 42912 43200 44280 44700 45296 45600 46170 46656 46740 47680 48276 48600 48872 49200 49248 49815 49856 50958 51300 53136 53640 54720 54981 55350 55404 56088 56620 58320 58425 59040 59600 59778 60345 61090 61560 62320 63099 64368 64800 65600 66420 67050 67944 68400 69255 70110 70775 70848 71520 72414 72900 73308 73800 73872 74784 76437 76950 77760 77900 79704 80460 82080 83025 84132 84930 85824 88560 89400 90592 91200 91635 92340 93480 96552 97200 97744 98400 98496 99630 100575 101916 102600 105165 106272 107280 108621 109962 110700 110808 112176 113240 115425 116071 116640 116850 118080 119200 119556 120690 122180 123120 124640 126198 127395 128736 129600 132840 134100 135888 136800 138510 140220 141550 143040 144828 145800 146616 147600 147744 149445 149568 152725 152874 153900 155800 159408 160920 164160 164943 166050 168264 169860 175275 177120 178800 181035 181184 183270 184680 186960 189297 193104 194400 195488 196800 199260 201150 203832 205200 210330 212325 212544 214560 217242 219924 221400 221616 224352 226480 229311 230850 232142 233280 233700 238400 239112 241380 244360 246240 249075 249280 252396 254790 257472 265680 268200 271776 273600 274905 277020 280440 283100 289656 291600 293232 295200 295488 298890 301725 305450 305748 307800 311600 315495 318816 321840 329886 332100 336528 339720 346275 348213 350550 354240 357600 362070 366540 369360 373920 378594 382185 386208 388800 390976 398520 402300 407664 410400 420660 424650 429120 434484 439848 442800 443232 448704 452960 458175 458622 461700 464284 467400 478224 482760 488720 492480 494829 498150 504792 509580 525825 531360 536400 543105 543552 549810 554040 560880 566200 567891 579312 580355 583200 586464 590400 597780 603450 610900 611496 615600 623200 630990 636975 637632 643680 659772 664200 673056 679440 687933 692550 696426 701100 715200 724140 733080 738720 747225 747840 757188 764370 772416 797040 804600 815328 820800 824715 841320 849300 868968 879696 885600 886464 905175 905920 916350 917244 923400 928568 934800 946485 956448 965520 977440 989658 996300 1009584 1019160 1044639 1051650 1062720 1072800 1086210 1099620 1108080 1121760 1132400 1135782 1146555 1158624 1160710 1166400 1172928 1195560 1206900 1221800 1222992 1231200 1246400 1261980 1273950 1287360 1319544 1328400 1346112 1358880 1374525 1375866 1385100 1392852 1402200 1448280 1466160 1477440 1484487 1494450 1514376 1528740 1577475 1594080 1609200 1630656 1649430 1682640 1698600 1737936 1741065 1759392 1771200 1810350 1832700 1834488 1846800 1857136 1869600 1892970 1910925 1912896 1931040 1954880 1979316 1992600 2019168 2038320 2063799 2089278 2103300 2145600 2172420 2199240 2216160 2243520 2264800 2271564 2293110 2317248 2321420 2391120 2413800 2443600 2445984 2462400 2474145 2523960 2547900 2639088 2656800 2715525 2717760 2749050 2751732 2770200 2785704 2804400 2839455 2896560 2901775 2932320 2968974 2988900 3028752 3057480 3133917 3154950 3188160 3218400 3298860 3365280 3397200 3439665 3475872 3482130 3518784 3620700 3665400 3668976 3693600 3714272 3739200 3785940 3821850 3862080 3958632 3985200 4038336 4076640 4123575 4127598 4178556 4206600 4344840 4398480 4432320 4453461 4529600 4543128 4586220 4642840 4732425 4782240 4827600 4887200 4891968 4948290 5047920 5095800 5223195 5278176 5313600 5431050 5498100 5503464 5540400 5571408 5608800 5678910 5732775 5793120 5803550 5864640 5937948 5977800 6057504 6114960 6267834 6309900 6436800 6597720 6730560 6794400 6879330 6951744 6964260 7241400 7330800 7337952 7387200 7422435 7428544 7571880 7643700 7917264 7970400 8153280 8247150 8255196 8357112 8413200 8689680 8705325 8796960 8906922 9086256 9172440 9285680 9401751 9464850 9564480 9655200 9774400 9896580 10095840 10191600 10318995 10446390 10556352 10862100 10996200 11006928 11080800 11142816 11217600 11357820 11465550 11586240 11607100 11875896 11955600 12115008 12229920 12370725 12535668 12619800 13195440 13588800 13758660 13928520 14197275 14482800 14661600 14675904 14844870 15143760 15287400 15669585 15834528 15940800 16494300 16510392 16714224 16826400 17198325 17379360 17410650 17593920 17813844 18172512 18344880 18571360 18803502 18929700 19310400 19793160 20191680 20383200 20637990 20892780 21724200 21992400 22013856 22161600 22267305 22285632 22715640 22931100 23214200 23751792 23911200 24459840 24741450 25071336 25239600 26115975 26390880 27517320 27857040 28205253 28394550 28965600 29323200 29689740 30287520 30574800 31339170 31669056 32988600 33020784 33428448 33652800 34396650 34758720 34821300 35627688 36345024 36689760 37112175 37142720 37607004 37859400 39586320 40766400 41275980 41785560 43448400 43984800 44027712 44534610 45431280 45862200 46428400 47008755 47503584 47822400 49482900 50142672 50479200 51594975 52231950 52781760 55034640 55714080 56410506 56789100 57931200 59379480 60575040 61149600 62678340 65977200 66041568 66856896 68793300 69642600 71255376 73379520 74224350 75214008 75718800 78347925 79172640 82551960 83571120 84615759 86896800 87969600 89069220 90862560 91724400 92856800 94017510 95007168 98965800 100285344 100958400 103189950 104463900 110069280 111336525 111428160 112821012 113578200 118758960 122299200 125356680 131954400 132083136 137586600 139285200 141026265 142510752 148448700 150428016 151437600 156695850 158345280 165103920 167142240 169231518 173793600 178138440 181725120 183448800 185713600 188035020 197931600 200570688 206379900 208927800 220138560 222673050 225642024 227156400 235043775 237517920 250713360 263908800 275173200 278570400 282052530 285021504 296897400 300856032 302875200 313391700 330207840 334284480 338463036 356276880 366897600 376070040 395863200 412759800 417855600 423078795 445346100 451284048 454312800 470087550 475035840 501426720 550346400 557140800 564105060 593794800 601712064 626783400 660415680 676926072 705131325 712553760 752140080 791726400 825519600 835711200 846157590 890692200 902568096 908625600 940175100 1002853440 1100692800 1128210120 1187589600 1253566800 1353852144 1410262650 1425107520 1504280160 1651039200 1671422400 1692315180 1781384400 1805136192 1880350200 2115393975 2256420240 2375179200 2507133600 2707704288 2820525300 3008560320 3302078400 3384630360 3562768800 3760700400 4230787950 4512840480 5014267200 5415408576 5641050600 6769260720 7125537600 7521400800 8461575900 9025680960 11282101200 13538521440 15042801600 16923151800 22564202400 27077042880 33846303600 45128404800 67692607200 135385214400
- Sum of all divisors σ(n): 542195766000
- Sum of proper divisors (its aliquot sum) s(n): 406810551600
- 135385214400 is an abundant number, because the sum of its proper divisors (406810551600) is greater than itself. Its abundance is 271425337200
Bases of 135385214400
- Binary: 11111100001011001011001101101110000002
- Hexadecimal: 0x1F85966DC0
- Base-36: 1Q70V000
Squares and roots of 135385214400
- 135385214400 squared (1353852144002) is 18329156278133967360000
- 135385214400 cubed (1353852144003) is 2481496752486273202956201984000000
-
The
square root of 135385214400 is 367947.2984001921 -
The
cube root of 135385214400 is 5134.8025201955
Scales and comparisons
How big is 135385214400?- 135,385,214,400 seconds is equal to 4,304 years, 43 weeks, 1 day, 12 hours.
-
To count from 1 to 135,385,214,400 would take you about eight thousand, six hundred nine 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 135385214400 cubic inches would be around 427.9 feet tall.
Recreational maths with 135385214400
- 135385214400 backwards is 004412583531
- 135385214400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135385214400's digits is 36
- More coming soon!
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The information we have on file for 135385214400 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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