135442129908800
135,442,129,908,800 is an even composite number composed of seven prime numbers multiplied together.
135442129908800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 135442129908800:
26 × 52 × 11 × 13 × 312 × 331 × 1861
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 13 × 31 × 31 × 331 × 1861)See below for interesting mathematical facts about the number 135442129908800 from the Numbermatics database.
Names of 135442129908800
- Cardinal: 135442129908800 can be written as One hundred thirty-five trillion, four hundred forty-two billion, one hundred twenty-nine million, nine hundred eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.354421299088 × 1014
Factors of 135442129908800
Divisors of 135442129908800
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 25 26 31 32 40 44 50 52 55 62 64 65 80 88 100 104 110 124 130 143 155 160 176 200 208 220 248 260 275 286 310 320 325 331 341 352 400 403 416 440 496 520 550 572 620 650 662 682 704 715 775 800 806 832 880 961 992 1040 1100 1144 1240 1300 1324 1364 1430 1550 1600 1612 1655 1705 1760 1861 1922 1984 2015 2080 2200 2288 2480 2600 2648 2728 2860 3100 3224 3310 3410 3520 3575 3641 3722 3844 4030 4160 4303 4400 4433 4576 4805 4960 5200 5296 5456 5720 6200 6448 6620 6820 7150 7282 7444 7688 8060 8275 8525 8606 8800 8866 9152 9305 9610 9920 10075 10261 10400 10571 10592 10912 11440 12400 12493 12896 13240 13640 14300 14564 14888 15376 16120 16550 17050 17212 17600 17732 18205 18610 19220 20150 20471 20522 20800 21142 21184 21515 21824 22165 22880 24025 24193 24800 24986 25792 26480 27280 28600 29128 29776 30752 32240 33100 34100 34424 35464 36410 37220 38440 40300 40942 41044 42284 43030 44330 45760 46525 47333 48050 48386 49600 49972 51305 52855 52960 54560 57200 57691 58256 59552 61504 62465 64480 66200 68200 68848 70928 72820 74440 76880 80600 81884 82088 84568 86060 88660 91025 93050 94666 96100 96772 99944 102355 102610 105710 105920 107575 109120 110825 112871 114400 115382 116512 119104 120965 124930 128960 132400 133393 136400 137423 137696 141856 145640 148880 153760 161200 163768 164176 169136 172120 177320 182050 186100 189332 192200 193544 199888 204710 205220 211420 215150 221650 225742 228800 230764 233024 236665 241930 249860 256525 264275 264800 266123 266786 272800 274846 275392 283712 288455 291280 297760 307520 312325 318091 322400 327536 328352 338272 344240 354640 364100 372200 378664 384400 387088 399776 409420 410440 422840 430300 443300 451484 461528 473330 483860 499720 511775 513050 528550 529600 532246 533572 545600 549692 564355 576910 582560 595520 604825 615991 624650 634601 636182 644800 655072 656704 666965 676544 687115 688480 709280 728200 744400 749983 757328 768800 774176 799552 818840 820880 845680 860600 886600 902968 923056 946660 967720 999440 1023550 1026100 1057100 1064492 1067144 1099384 1128710 1153820 1165120 1183325 1209650 1231982 1249300 1269202 1272364 1310144 1330615 1333930 1374230 1376960 1418560 1442275 1456400 1467323 1488800 1499966 1514656 1537600 1548352 1590455 1637680 1641760 1691360 1721200 1773200 1788421 1805936 1846112 1893320 1935440 1998880 2047100 2052200 2114200 2128984 2134288 2198768 2257420 2307640 2366650 2419300 2463964 2498600 2538404 2544728 2661230 2667860 2748460 2821775 2884550 2912800 2934646 2977600 2999932 3029312 3079955 3173005 3180910 3275360 3283520 3334825 3382720 3435575 3442400 3499001 3546400 3576842 3611872 3692224 3749915 3786640 3870880 3997760 4094200 4104400 4135183 4228400 4257968 4268576 4397536 4514840 4615280 4733300 4838600 4927928 4997200 5076808 5089456 5322460 5335720 5496920 5643550 5769100 5825600 5869292 5999864 6159910 6346010 6361820 6550720 6653075 6669650 6775901 6871150 6884800 6998002 7092800 7153684 7223744 7336615 7499830 7573280 7741760 7952275 8007883 8188400 8208800 8249813 8270366 8456800 8515936 8537152 8795072 8942105 9029680 9230560 9466600 9677200 9855856 9994400 10153616 10178912 10644920 10671440 10993840 11287100 11538200 11738584 11999728 12319820 12692020 12723640 13306150 13339300 13551802 13742300 13996004 14307368 14673230 14999660 15146560 15399775 15865025 15904550 16015766 16376800 16417600 16499626 16540732 16913600 17031872 17495005 17884210 18059360 18461120 18749575 18933200 19095721 19354400 19672631 19711712 19988800 20307232 20357824 20675915 21289840 21342880 21987680 22574200 23076400 23249473 23477168 23999456 24639640 25384040 25447280 26612300 26678600 27103604 27484600 27992008 28614736 29346460 29999320 30799550 31730050 31809100 32031532 32753600 32999252 33081464 33879505 34990010 35768420 36118720 36683075 37499150 37866400 38191442 38708800 39345262 39423424 40039415 40614464 41249065 41351830 42579680 42685760 43975360 44710525 45148400 45487013 46152800 46498946 46954336 47998912 49279280 50768080 50894560 53224600 53357200 54207208 54969200 55984016 57229472 58692920 59998640 61599100 63460100 63618200 64063064 65998504 66162928 67759010 69980020 71536840 73366150 74998300 75732800 76382884 78690524 80078830 82498130 82703660 85159360 87475025 88086713 89421050 90296800 90974026 92305600 92997892 93908672 95478605 98363155 98558560 101536160 101789120 103379575 106449200 106714400 108414416 109938400 111968032 114458944 116247365 117385840 119997280 123198200 126920200 127236400 128126128 131997008 132325856 135518020 139960040 143073680 146732300 149996600 152765768 157381048 160157660 164996260 165407320 169397525 174950050 176173426 178842100 180593600 181948052 185995784 190957210 196726310 197117120 200197075 203072320 206245325 206759150 210052931 212898400 213428800 216828832 219876800 223936064 227435065 232494730 234771680 239994560 246396400 248244373 253840400 254472800 255744203 256252256 263994016 264651712 271036040 279920080 286147360 293464600 299993200 305531536 314762096 320315320 329992520 330814640 338795050 349900100 352346852 357684200 363896104 371991568 381914420 393452620 400394150 412490650 413518300 420105862 425796800 433657664 440433565 454870130 464989460 469543360 477393025 491815775 492792800 496488746 507680800 508945600 511488406 512504512 527988032 542072080 559840160 572294720 581236825 586929200 591967351 599986400 611063072 629524192 640630640 659985040 661629280 677590100 699800200 704693704 715368400 727792208 743983136 763828840 786905240 800788300 824981300 827036600 840211724 880867130 909740260 929978920 954786050 983631550 985585600 992977492 1015361600 1022976812 1050264655 1084144160 1119680320 1137175325 1162473650 1173858400 1183934702 1199972800 1222126144 1241221865 1259048384 1278721015 1281261280 1319970080 1323258560 1355180200 1399600400 1409387408 1430736800 1455584416 1487966272 1527657680 1573810480 1601576600 1649962600 1654073200 1680423448 1761734260 1819480520 1859957840 1909572100 1967263100 1985954984 2045953624 2100529310 2168288320 2202167825 2274350650 2324947300 2347716800 2367869404 2482443730 2557442030 2562522560 2639940160 2710360400 2730688103 2799200800 2818774816 2861473600 2911168832 2959836755 3055315360 3147620960 3203153200 3299925200 3308146400 3360846896 3523468520 3638961040 3719915680 3819144200 3934526200 3971909968 4091907248 4201058620 4404335650 4548701300 4649894600 4735738808 4964887460 5114884060 5251323275 5420720800 5461376206 5598401600 5637549632 5919673510 6110630720 6206109325 6295241920 6393605075 6406306400 6511640861 6599850400 6616292800 6721693792 7046937040 7277922080 7439831360 7638288400 7695575563 7869052400 7943819936 8183814496 8402117240 8808671300 9097402600 9299789200 9471477616 9929774920 10229768120 10502646550 10841441600 10922752412 11839347020 12412218650 12787210150 12812612800 13023281722 13199700800 13443387584 13653440515 14093874080 14555844160 14799183775 15276576800 15391151126 15738104800 15887639872 16367628992 16804234480 17617342600 18194805200 18599578400 18942955232 19859549840 20459536240 21005293100 21845504824 23678694040 24824437300 25574420300 26046563444 27306881030 28187748160 29598367550 30553153600 30782302252 31476209600 32558204305 33608468960 35234685200 36389610400 37199156800 37885910464 38477877815 39719099680 40919072480 42010586200 43691009648 47357388080 49648874600 51148840600 52093126888 54613762060 59196735100 61564604504 65116408610 67216937920 68267202575 70469370400 72779220800 76955755630 79438199360 81838144960 84021172400 84651331193 87382019296 94714776160 99297749200 102297681200 104186253776 109227524120 118393470200 123129209008 130232817220 136534405150 140938740800 153911511260 162791021525 168042344800 169302662386 174764038592 189429552320 192389389075 198595498400 204595362400 208372507552 218455048240 236786940400 246258418016 260465634440 273068810300 307823022520 325582043050 336084689600 338605324772 384778778150 397190996800 409190724800 416745015104 423256655965 436910096480 473573880800 492516836032 520931268880 546137620600 615646045040 651164086100 677210649544 769557556300 846513311930 873820192960 947147761600 1041862537760 1092275241200 1231292090080 1302328172200 1354421299088 1539115112600 1693026623860 2083725075520 2116283279825 2184550482400 2462584180160 2604656344400 2708842598176 3078230225200 3386053247720 4232566559650 4369100964800 5209312688800 5417685196352 6156460450400 6772106495440 8465133119300 10418625377600 12312920900800 13544212990880 16930266238600 27088425981760 33860532477200 67721064954400 135442129908800
- Sum of all divisors σ(n): 406014651024192
- Sum of proper divisors (its aliquot sum) s(n): 270572521115392
- 135442129908800 is an abundant number, because the sum of its proper divisors (270572521115392) is greater than itself. Its abundance is 135130391206592
Bases of 135442129908800
- Binary: 111101100101111000101000000101001110100010000002
- Hexadecimal: 0x7B2F140A7440
- Base-36: 1C0D974VNK
Squares and roots of 135442129908800
- 135442129908800 squared (1354421299088002) is 18344570554232255496317440000
- 135442129908800 cubed (1354421299088003) is 2484627708127472364579459528483049472000000
-
The
square root of 135442129908800 is 11637960.7281000909 -
The
cube root of 135442129908800 is 51355.2197087605
Scales and comparisons
How big is 135442129908800?- 135,442,129,908,800 seconds is equal to 4,306,640 years, 40 weeks, 4 days, 7 hours, 33 minutes, 20 seconds.
-
To count from 1 to 135,442,129,908,800 would take you about ten million, seven hundred sixty-six thousand, six hundred one 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 135442129908800 cubic inches would be around 4279.6 feet tall.
Recreational maths with 135442129908800
- 135442129908800 backwards is 008809921244531
- The number of decimal digits it has is: 15
- The sum of 135442129908800's digits is 56
- More coming soon!
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The information we have on file for 135442129908800 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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