134137320520320
134,137,320,520,320 is an even composite number composed of seven prime numbers multiplied together.
134137320520320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 134137320520320:
27 × 35 × 5 × 13 × 43 × 79 × 19531
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 43 × 79 × 19531)See below for interesting mathematical facts about the number 134137320520320 from the Numbermatics database.
Names of 134137320520320
- Cardinal: 134137320520320 can be written as One hundred thirty-four trillion, one hundred thirty-seven billion, three hundred twenty million, five hundred twenty thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3413732052032 × 1014
Factors of 134137320520320
Divisors of 134137320520320
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 43 45 48 52 54 60 64 65 72 78 79 80 81 86 90 96 104 108 117 120 128 129 130 135 144 156 158 160 162 172 180 192 195 208 215 216 234 237 240 243 258 260 270 288 312 316 320 324 344 351 360 384 387 390 395 405 416 430 432 468 474 480 486 516 520 540 559 576 585 624 632 640 645 648 688 702 711 720 774 780 790 810 832 860 864 936 948 960 972 1027 1032 1040 1053 1080 1118 1152 1161 1170 1185 1215 1248 1264 1290 1296 1376 1404 1422 1440 1548 1560 1580 1620 1664 1677 1720 1728 1755 1872 1896 1920 1935 1944 2054 2064 2080 2106 2133 2160 2236 2322 2340 2370 2430 2496 2528 2580 2592 2752 2795 2808 2844 2880 3081 3096 3120 3159 3160 3240 3354 3397 3440 3456 3483 3510 3555 3744 3792 3870 3888 4108 4128 4160 4212 4266 4320 4472 4644 4680 4740 4860 4992 5031 5056 5135 5160 5184 5265 5504 5590 5616 5688 5760 5805 6162 6192 6240 6318 6320 6399 6480 6708 6794 6880 6966 7020 7110 7488 7584 7740 7776 8216 8256 8320 8385 8424 8532 8640 8944 9243 9288 9360 9480 9720 10062 10112 10191 10270 10320 10368 10449 10530 10665 11180 11232 11376 11610 12324 12384 12480 12636 12640 12798 12960 13416 13588 13760 13932 14040 14220 14976 15093 15168 15405 15480 15552 15795 16432 16512 16770 16848 16985 17064 17280 17415 17888 18486 18576 18720 18960 19197 19440 19531 20124 20382 20540 20640 20898 21060 21330 22360 22464 22752 23220 24648 24768 24960 25155 25272 25280 25596 25920 26832 27176 27520 27729 27864 28080 28440 30186 30336 30573 30810 30960 31104 31590 31995 32864 33540 33696 33970 34128 34830 35776 36972 37152 37440 37920 38394 38880 39062 40248 40764 41080 41280 41796 42120 42660 44161 44720 44928 45279 45504 46215 46440 49296 49536 50310 50544 50560 50955 51192 51840 52245 53664 54352 55458 55728 56160 56880 58593 60372 61146 61620 61920 63180 63990 65728 67080 67392 67940 68256 69660 71552 73944 74304 74880 75465 75840 76788 77760 78124 80496 81528 82160 82560 83187 83592 84240 85320 88322 89440 90558 91008 91719 92430 92880 95985 97655 98592 100620 101088 101910 102384 104490 107328 108704 110916 111456 112320 113760 117186 120744 122292 123240 123840 126360 127980 131456 132483 134160 134784 135837 135880 136512 138645 139320 147888 148608 150930 151680 152865 153576 155520 156248 160992 163056 164320 166374 167184 168480 170640 175779 176644 178880 181116 183438 184860 185760 191970 195310 197184 201240 202176 203820 204768 208980 214656 217408 220805 221832 222912 224640 226395 227520 234372 241488 244584 246480 247680 249561 252720 253903 255960 264966 268320 271674 271760 273024 275157 277290 278640 292965 295776 301860 305730 307152 312496 321984 326112 328640 332748 334368 336960 341280 351558 353288 357760 362232 366876 369720 371520 383940 390620 394368 397449 402480 404352 407640 409536 415935 417960 434816 441610 443664 445824 452790 455040 458595 468744 482976 489168 492960 499122 505440 507806 511920 527337 529932 536640 543348 543520 550314 554580 557280 585930 591552 603720 611460 614304 624992 643968 652224 657280 662415 665496 668736 673920 679185 682560 703116 706576 724464 733752 739440 743040 761709 767880 781240 794898 804960 815280 819072 825471 831870 835920 839833 878895 883220 887328 905580 917190 937488 965952 978336 985920 998244 1010880 1015612 1023840 1054674 1059864 1073280 1086696 1087040 1100628 1109160 1114560 1171860 1183104 1192347 1207440 1222920 1228608 1247805 1249984 1269515 1304448 1324830 1330992 1337472 1358370 1365120 1375785 1406232 1413152 1448928 1467504 1478880 1523418 1535760 1542949 1562480 1582011 1589796 1609920 1630560 1650942 1663740 1671840 1679666 1757790 1766440 1774656 1811160 1834380 1874976 1931904 1956672 1971840 1987245 1996488 2021760 2031224 2047680 2109348 2119728 2173392 2174080 2201256 2218320 2229120 2285127 2343720 2384694 2414880 2445840 2457216 2495610 2499968 2519499 2539030 2636685 2649660 2661984 2716740 2751570 2812464 2826304 2897856 2935008 2957760 3046836 3071520 3085898 3124960 3164022 3179592 3219840 3261120 3301884 3327480 3343680 3359332 3515580 3532880 3549312 3577041 3622320 3668760 3749952 3808545 3913344 3974490 3992976 4062448 4095360 4127355 4199165 4218696 4239456 4346784 4402512 4436640 4570254 4628847 4687440 4746033 4769388 4829760 4891680 4991220 5038998 5078060 5273370 5299320 5323968 5433480 5503140 5624928 5652608 5795712 5870016 5915520 5961735 6093672 6143040 6171796 6249920 6328044 6359184 6522240 6603768 6654960 6687360 6718664 6855381 7031160 7065760 7154082 7244640 7337520 7499904 7558497 7617090 7714745 7910055 7948980 7985952 8124896 8254710 8398330 8437392 8478912 8693568 8805024 8873280 9140508 9257694 9374880 9492066 9538776 9659520 9783360 9982440 10077996 10156120 10546740 10598640 10647936 10731123 10866960 10917829 11006280 11249856 11425635 11740032 11923470 12187344 12286080 12343592 12499840 12597495 12656088 12718368 13207536 13309920 13437328 13710762 13886541 14062320 14131520 14308164 14489280 14675040 15116994 15234180 15429490 15820110 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902625165 907019640 962800176 967487616 982604610 987174864 987487360 995202105 999830952 1012487040 1020397095 1048111584 1061548912 1083150198 1088423568 1096860960 1110923280 1144653120 1179125532 1194242526 1203500220 1209359520 1233968580 1249788690 1283733568 1310139480 1316233152 1326936140 1333107936 1360529460 1373583744 1397482112 1444200264 1451231424 1462481280 1473906915 1481231040 1499746428 1518730560 1572167376 1592323368 1604666960 1612479360 1624725297 1632635352 1645291440 1666384920 1716979680 1725016982 1746852640 1768688298 1777477248 1791363789 1805250330 1814039280 1874683035 1925600352 1965209220 1974349728 1990404210 1999661904 2040794190 2096223168 2123097824 2166300396 2176847136 2193721920 2221846560 2289306240 2358251064 2388485052 2407000440 2418719040 2467937160 2499577380 2567467136 2587525473 2620278960 2632466304 2653032447 2653872280 2666215872 2707875495 2721058920 2888400528 2902462848 2947813830 2962462080 2985606315 2999492856 3037461120 3144334752 3184646736 3209333920 3249450594 3265270704 3290582880 3332769840 3433959360 3450033964 3493705280 3537376596 3582727578 3610500660 3628078560 3749366070 3851200704 3930418440 3948699456 3980808420 3999323808 4081588380 4192446336 4246195648 4312542455 4332600792 4353694272 4387443840 4421720745 4443693120 4716502128 4776970104 4814000880 4837438080 4874175891 4935874320 4999154760 5175050946 5240557920 5306064894 5307744560 5332431744 5374091367 5415750990 5442117840 5776801056 5895627660 5971212630 5998985712 6288669504 6369293472 6418667840 6498901188 6530541408 6581165760 6665539680 6867918720 6900067928 6987410560 7074753192 7165455156 7221001320 7256157120 7498732140 7702401408 7762576419 7860836880 7897398912 7961616840 7998647616 8123626485 8163176760 8492391296 8625084910 8665201584 8707388544 8843441490 8887386240 8956818945 9433004256 9553940208 9628001760 9748351782 9871748640 9998309520 10350101892 10481115840 10612129788 10615489120 10748182734 10831501980 10884235680 11553602112 11791255320 11942425260 11997971424 12577339008 12738586944 12837335680 12937627365 12997802376 13061082816 13162331520 13265162235 13331079360 13800135856 14149506384 14330910312 14442002640 14512314240 14997464280 15525152838 15721673760 15923233680 15997295232 16122274101 16247252970 16326353520 17250169820 17330403168 17686882980 17913637890 18866008512 19107880416 19256003520 19496703564 19743497280 19996619040 20700203784 20962231680 21224259576 21230978240 21496365468 21663003960 21768471360 23107204224 23287729257 23582510640 23884850520 23995942848 24370879455 25477173888 25875254730 25995604752 26122165632 26530324470 26662158720 26870456835 27600271712 28299012768 28661820624 28884005280 29994928560 31050305676 31443347520 31846467360 32244548202 32494505940 32652707040 34500339640 34660806336 35373765960 35827275780 37732017024 38215760832 38512007040 38812882095 38993407128 39486994560 39993238080 41400407568 42448519152 42461956480 42992730936 43326007920 43536942720 46575458514 47165021280 47769701040 47991885696 48741758910 51750509460 51991209504 53060648940 53740913670 55200543424 56598025536 57323641248 57768010560 59989857120 62100611352 62886695040 63692934720 64489096404 64989011880 65305414080 69000679280 69321612672 69863187771 70747531920 71654551560 76431521664 77625764190 77986814256 79986476160 80611370505 82800815136 84897038304 85985461872 86652015840 93150917028 94330042560 95539402080 97483517820 103501018920 103982419008 106121297880 107481827340 110401086848 113196051072 114647282496 115536021120 116438646285 119979714240 124201222704 127385869440 128978192808 129978023760 130610828160 138001358560 139726375542 141495063840 143309103120 155251528380 155973628512 161222741010 165601630272 169794076608 171970923744 173304031680 186301834056 188660085120 191078804160 194967035640 207002037840 207964838016 209589563313 212242595760 214963654680 229294564992 232877292570 239959428480 248402445408 257956385616 259956047520 276002717120 279452751084 282990127680 286618206240 310503056760 311947257024 322445482020 331203260544 339588153216 343941847488 346608063360 349315938855 372603668112 382157608320 389934071280 414004075680 419179126626 424485191520 429927309360 465754585140 496804890816 515912771232 519912095040 552005434240 558905502168 565980255360 573236412480 621006113520 623894514048 644890964040 687883694976 698631877710 745207336224 779868142560 828008151360 838358253252 848970383040 859854618720 931509170280 993609781632 1031825542464 1039824190080 1047947816565 1117811004336 1146472824960 1242012227040 1289781928080 1397263755420 1490414672448 1559736285120 1656016302720 1676716506504 1697940766080 1719709237440 1863018340560 2063651084928 2095895633130 2235622008672 2484024454080 2579563856160 2794527510840 2980829344896 3119472570240 3353433013008 3439418474880 3726036681120 4191791266260 4471244017344 4968048908160 5159127712320 5589055021680 6706866026016 7452073362240 8383582532520 8942488034688 10318255424640 11178110043360 13413732052032 14904146724480 16767165065040 22356220086720 26827464104064 33534330130080 44712440173440 67068660260160 134137320520320
- Sum of all divisors σ(n): 536056083763200
- Sum of proper divisors (its aliquot sum) s(n): 401918763242880
- 134137320520320 is an abundant number, because the sum of its proper divisors (401918763242880) is greater than itself. Its abundance is 267781442722560
Bases of 134137320520320
- Binary: 111100111111111010001110101011100111010100000002
- Hexadecimal: 0x79FF47573A80
- Base-36: 1BJPU1BC00
Squares and roots of 134137320520320
- 134137320520320 squared (1341373205203202) is 17992820756371060955532902400
- 134137320520320 cubed (1341373205203203) is 2413508764862011538086813136140447776768000
-
The
square root of 134137320520320 is 11581766.7270723425 -
The
cube root of 134137320520320 is 51189.7736178171
Scales and comparisons
How big is 134137320520320?- 134,137,320,520,320 seconds is equal to 4,265,151 years, 45 weeks, 4 days, 19 hours, 12 minutes.
-
To count from 1 to 134,137,320,520,320 would take you about ten million, six hundred sixty-two thousand, eight hundred seventy-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 134137320520320 cubic inches would be around 4265.8 feet tall.
Recreational maths with 134137320520320
- 134137320520320 backwards is 023025023731431
- 134137320520320 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 134137320520320's digits is 36
- More coming soon!
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"Number 134137320520320 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 134137320520320 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/134137320520320/
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The information we have on file for 134137320520320 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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