134688328521600
134,688,328,521,600 is an even composite number composed of six prime numbers multiplied together.
134688328521600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 134688328521600:
27 × 3 × 52 × 72 × 612 × 76949
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 61 × 61 × 76949)See below for interesting mathematical facts about the number 134688328521600 from the Numbermatics database.
Names of 134688328521600
- Cardinal: 134688328521600 can be written as One hundred thirty-four trillion, six hundred eighty-eight billion, three hundred twenty-eight million, five hundred twenty-one thousand, six hundred.
Scientific notation
- Scientific notation: 1.346883285216 × 1014
Factors of 134688328521600
Divisors of 134688328521600
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 61 64 70 75 80 84 96 98 100 105 112 120 122 128 140 147 150 160 168 175 183 192 196 200 210 224 240 244 245 280 294 300 305 320 336 350 366 384 392 400 420 427 448 480 488 490 525 560 588 600 610 640 672 700 732 735 784 800 840 854 896 915 960 976 980 1050 1120 1176 1200 1220 1225 1281 1344 1400 1464 1470 1525 1568 1600 1680 1708 1830 1920 1952 1960 2100 2135 2240 2352 2400 2440 2450 2562 2688 2800 2928 2940 2989 3050 3136 3200 3360 3416 3660 3675 3721 3904 3920 4200 4270 4480 4575 4704 4800 4880 4900 5124 5600 5856 5880 5978 6100 6272 6405 6720 6832 7320 7350 7442 7808 7840 8400 8540 8967 9150 9408 9600 9760 9800 10248 10675 11163 11200 11712 11760 11956 12200 12810 13440 13664 14640 14700 14884 14945 15680 16800 17080 17934 18300 18605 18816 19520 19600 20496 21350 22326 22400 23424 23520 23912 24400 25620 26047 27328 29280 29400 29768 29890 31360 32025 33600 34160 35868 36600 37210 39040 39200 40992 42700 44652 44835 47040 47824 48800 51240 52094 54656 55815 58560 58800 59536 59780 64050 67200 68320 71736 73200 74420 74725 76949 78141 78400 81984 85400 89304 89670 93025 94080 95648 97600 102480 104188 111630 117120 117600 119072 119560 128100 130235 136640 143472 146400 148840 149450 153898 156282 156800 163968 170800 178608 179340 182329 186050 191296 195200 204960 208376 223260 224175 230847 235200 238144 239120 256200 260470 273280 279075 286944 292800 297680 298900 307796 312564 341600 357216 358680 364658 372100 382592 384745 390705 409920 416752 446520 448350 461694 470400 476288 478240 512400 520940 538643 546987 558150 573888 585600 595360 597800 615592 625128 651175 683200 714432 717360 729316 744200 769490 781410 819840 833504 893040 896700 911645 923388 956480 1024800 1041880 1077286 1093974 1116300 1147776 1154235 1190720 1195600 1231184 1250256 1302350 1366400 1428864 1434720 1458632 1488400 1538980 1562820 1615929 1667008 1786080 1793400 1823290 1846776 1912960 1923725 1953525 2049600 2083760 2154572 2187948 2232600 2308470 2381440 2391200 2462368 2500512 2604700 2693215 2734935 2869440 2917264 2976800 3077960 3125640 3231858 3334016 3572160 3586800 3646580 3693552 3770501 3847450 3907050 4099200 4167520 4309144 4375896 4465200 4558225 4616940 4693889 4782400 4924736 5001024 5209400 5386430 5469870 5738880 5771175 5834528 5953600 6155920 6251280 6463716 7144320 7173600 7293160 7387104 7541002 7694900 7814100 8079645 8335040 8618288 8751792 8930400 9116450 9233880 9387778 9564800 9849472 10002048 10418800 10772860 10939740 11311503 11542350 11669056 11907200 12311840 12502560 12927432 13466075 13674675 14081667 14347200 14586320 14774208 15082004 15389800 15628200 16159290 16670080 17236576 17503584 17860800 18232900 18467760 18775556 18852505 20837600 21545720 21879480 22623006 23084700 23338112 23469445 24623680 25005120 25854864 26932150 27349350 28163334 28694400 29172640 29548416 30164008 30779600 31256400 32318580 32857223 34473152 35007168 35721600 36465800 36935520 37551112 37705010 40398225 41675200 43091440 43758960 45246012 46169400 46938890 49247360 50010240 51709728 53864300 54698700 56326668 56557515 58345280 60328016 61559200 62512800 64637160 65714446 68946304 70014336 70408335 72931600 73871040 75102224 75410020 80796450 83350400 86182880 87517920 90492024 92338800 93877780 94262525 98571669 103419456 107728600 109397400 112653336 113115030 116690560 117347225 120656032 123118400 125025600 129274320 131428892 140816670 145863200 147742080 150204448 150820040 161592900 164286115 172365760 175035840 180984048 184677600 187755560 188525050 197143338 206838912 215457200 218794800 225306672 226230060 230000561 234694450 241312064 246236800 250051200 258548640 262857784 281633340 282787575 286327229 291726400 300408896 301640080 323185800 328572230 344731520 350071680 352041675 361968096 369355200 375511120 377050100 394286676 430914400 437589600 450613344 452460120 460001122 469388900 482624128 492858345 517097280 525715568 563266680 565575150 572654458 583452800 600817792 603280160 646371600 657144460 690001683 704083350 723936192 738710400 751022240 754100200 788573352 821430575 858981687 861828800 875179200 901226688 904920240 920002244 938777800 985716690 1034194560 1051431136 1126533360 1131150300 1145308916 1150002805 1206560320 1292743200 1314288920 1380003366 1408166700 1431636145 1447872384 1502044480 1508200400 1577146704 1642861150 1717963374 1723657600 1750358400 1802453376 1809840480 1840004488 1877555600 1971433380 2004290603 2102862272 2253066720 2262300600 2290617832 2300005610 2413120640 2464291725 2585486400 2628577840 2760006732 2816333400 2863272290 3004088960 3016400800 3154293408 3285722300 3435926748 3450008415 3619680960 3680008976 3755111200 3942866760 4008581206 4205724544 4294908435 4506133440 4524601200 4581235664 4600011220 4928583450 5170972800 5257155680 5520013464 5632666800 5726544580 5750014025 6012871809 6032801600 6308586816 6571444600 6871853496 6900016830 7158180725 7239361920 7360017952 7510222400 7885733520 8017162412 8589816870 9012266880 9049202400 9162471328 9200022440 9857166900 10021453015 10514311360 11040026928 11265333600 11453089160 11500028050 12025743618 12065603200 12617173632 13142889200 13743706992 13800033660 14030034221 14316361450 14720035904 15020444800 15771467040 16034324824 17179633740 17250042075 18098404800 18324942656 18400044880 19714333800 20042906030 21028622720 21474542175 22080053856 22530667200 22906178320 23000056100 24051487236 26285778400 27487413984 27600067320 28060068442 28632722900 29440071808 30064359045 31542934080 32068649648 34359267480 34500084150 36196809600 36649885312 36800089760 39428667600 40085812060 42090102663 42949084350 44160107712 45061334400 45812356640 46000112200 48102974472 50107265075 52571556800 54974827968 55200134640 56120136884 57265445800 60128718090 63085868160 64137299296 68718534960 69000168300 70150171105 73600179520 78857335200 80171624120 84180205326 85898168700 88320215424 91624713280 92000224400 96205948944 100214530150 105143113600 109949655936 110400269280 112240273768 114530891600 120257436180 128274598592 137437069920 138000336600 140300342210 147200359040 150321795225 157714670400 160343248240 168360410652 171796337400 183249426560 184000448800 192411897888 200429060300 210450513315 220800538560 224480547536 229061783200 240514872360 256549197184 274874139840 276000673200 280600684420 300643590450 315429340800 320686496480 336720821304 343592674800 350750855525 368000897600 384823795776 400858120600 420901026630 441601077120 448961095072 458123566400 481029744720 549748279680 552001346400 561201368840 601287180900 641372992960 673441642608 687185349600 701501711050 736001795200 769647591552 801716241200 841802053260 897922190144 916247132800 962059489440 1052252566575 1104002692800 1122402737680 1202574361800 1282745985920 1346883285216 1374370699200 1403003422100 1603432482400 1683604106520 1795844380288 1924118978880 2104505133150 2208005385600 2244805475360 2405148723600 2693766570432 2748741398400 2806006844200 3206864964800 3367208213040 3848237957760 4209010266300 4489610950720 4810297447200 5387533140864 5612013688400 6413729929600 6734416426080 8418020532600 8979221901440 9620594894400 11224027376800 13468832852160 16836041065200 19241189788800 22448054753600 26937665704320 33672082130400 44896109507200 67344164260800 134688328521600
- Sum of all divisors σ(n): 524664508329000
- Sum of proper divisors (its aliquot sum) s(n): 389976179807400
- 134688328521600 is an abundant number, because the sum of its proper divisors (389976179807400) is greater than itself. Its abundance is 255287851285800
Bases of 134688328521600
- Binary: 111101001111111100100011111101000010111100000002
- Hexadecimal: 0x7A7F91FA1780
- Base-36: 1BQQYP92TC
Squares and roots of 134688328521600
- 134688328521600 squared (1346883285216002) is 18140945839942448041666560000
- 134688328521600 cubed (1346883285216003) is 2443373672982721293072924198444957696000000
-
The
square root of 134688328521600 is 11605530.0836110023 -
The
cube root of 134688328521600 is 51259.7701487955
Scales and comparisons
How big is 134688328521600?- 134,688,328,521,600 seconds is equal to 4,282,672 years, 11 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 134,688,328,521,600 would take you about ten million, seven hundred six thousand, six hundred eighty 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 134688328521600 cubic inches would be around 4271.6 feet tall.
Recreational maths with 134688328521600
- 134688328521600 backwards is 006125823886431
- The number of decimal digits it has is: 15
- The sum of 134688328521600's digits is 57
- More coming soon!
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The information we have on file for 134688328521600 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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