135084764487680
135,084,764,487,680 is an even composite number composed of six prime numbers multiplied together.
135084764487680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 135084764487680:
213 × 5 × 72 × 19 × 1553 × 2281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 19 × 1553 × 2281)See below for interesting mathematical facts about the number 135084764487680 from the Numbermatics database.
Names of 135084764487680
- Cardinal: 135084764487680 can be written as One hundred thirty-five trillion, eighty-four billion, seven hundred sixty-four million, four hundred eighty-seven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3508476448768 × 1014
Factors of 135084764487680
Divisors of 135084764487680
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 49 56 64 70 76 80 95 98 112 128 133 140 152 160 190 196 224 245 256 266 280 304 320 380 392 448 490 512 532 560 608 640 665 760 784 896 931 980 1024 1064 1120 1216 1280 1330 1520 1553 1568 1792 1862 1960 2048 2128 2240 2281 2432 2560 2660 3040 3106 3136 3584 3724 3920 4096 4256 4480 4562 4655 4864 5120 5320 6080 6212 6272 7168 7448 7765 7840 8192 8512 8960 9124 9310 9728 10240 10640 10871 11405 12160 12424 12544 14336 14896 15530 15680 15967 17024 17920 18248 18620 19456 20480 21280 21742 22810 24320 24848 25088 28672 29507 29792 31060 31360 31934 34048 35840 36496 37240 38912 40960 42560 43339 43484 45620 48640 49696 50176 54355 57344 59014 59584 62120 62720 63868 68096 71680 72992 74480 76097 77824 79835 85120 86678 86968 91240 97280 99392 100352 108710 111769 118028 119168 124240 125440 127736 136192 143360 145984 147535 148960 152194 155648 159670 170240 173356 173936 182480 194560 198784 200704 206549 216695 217420 223538 236056 238336 248480 250880 255472 272384 286720 291968 295070 297920 303373 304388 319340 340480 346712 347872 364960 380485 389120 397568 401408 413098 433390 434840 447076 472112 476672 496960 501760 510944 544768 558845 583936 590140 595840 606746 608776 638680 680960 693424 695744 729920 760970 778240 795136 826196 866780 869680 894152 944224 953344 993920 1003520 1021888 1032745 1089536 1117690 1167872 1180280 1191680 1213492 1217552 1277360 1361920 1386848 1391488 1445843 1459840 1516865 1521940 1590272 1652392 1733560 1739360 1788304 1888448 1906688 1987840 2007040 2043776 2065490 2123611 2235380 2335744 2360560 2383360 2426984 2435104 2554720 2723840 2773696 2782976 2891686 2919680 3033730 3043880 3180544 3304784 3467120 3478720 3542393 3576608 3776896 3813376 3975680 4087552 4130980 4247222 4470760 4671488 4721120 4766720 4853968 4870208 5109440 5447680 5547392 5565952 5783372 5839360 6067460 6087760 6361088 6609568 6934240 6957440 7084786 7153216 7229215 7553792 7626752 7951360 8175104 8261960 8494444 8941520 9342976 9442240 9533440 9707936 9740416 10218880 10618055 11094784 11131904 11566744 11678720 12134920 12175520 12722176 13219136 13868480 13914880 14169572 14306432 14458430 15107584 15902720 16350208 16523920 16988888 17711965 17883040 18685952 18884480 19066880 19415872 19480832 20437760 21236110 22189568 22263808 23133488 23357440 24269840 24351040 24796751 26438272 27736960 27829760 28339144 28612864 28916860 30215168 31805440 32700416 33047840 33977776 35423930 35766080 37768960 38133760 38831744 38961664 40875520 42472220 44379136 44527616 46266976 46714880 48539680 48702080 49593502 52876544 55473920 55659520 56678288 57225728 57833720 60430336 63610880 65400832 66095680 67305467 67955552 70847860 71532160 75537920 77663488 77923328 81751040 84944440 88758272 89055232 92533952 93429760 97079360 97404160 99187004 105753088 110947840 111319040 113356576 114451456 115667440 120860672 123983755 130801664 132191360 134610934 135911104 141695720 143064320 151075840 155326976 155846656 163502080 169888880 173577257 177516544 185067904 194158720 194808320 198374008 211506176 221895680 222638080 226713152 228902912 231334880 241721344 247967510 264382720 269221868 271822208 283391440 286128640 302151680 310653952 311693312 327004160 336527335 339777760 347154514 355033088 370135808 388317440 389616640 396748016 423012352 443791360 445276160 453426304 457805824 462669760 471138269 495935020 528765440 538443736 543644416 566782880 572257280 604303360 621307904 623386624 654008320 673054670 679555520 694309028 740271616 776634880 779233280 793496032 846024704 867886285 887582720 906852608 915611648 925339520 942276538 991870040 1057530880 1076887472 1087288832 1133565760 1144514560 1208606720 1242615808 1346109340 1359111040 1388618056 1480543232 1553269760 1558466560 1586992064 1692049408 1735772570 1775165440 1813705216 1850679040 1884553076 1983740080 2115061760 2153774944 2174577664 2267131520 2289029120 2355691345 2485231616 2692218680 2718222080 2777236112 2961086464 3106539520 3116933120 3173984128 3297967883 3471545140 3627410432 3701358080 3769106152 3967480160 4230123520 4307549888 4349155328 4534263040 4578058240 4711382690 5384437360 5436444160 5554472224 5922172928 6213079040 6347968256 6595935766 6943090280 7254820864 7402716160 7538212304 7934960320 8460247040 8615099776 8698310656 9068526080 9422765380 10768874720 10872888320 11108944448 11844345856 12426158080 12695936512 13191871532 13886180560 14509641728 14805432320 15076424608 15869920640 16489839415 17230199552 17396621312 18137052160 18845530760 21537749440 21745776640 22217888896 25391873024 26383743064 27772361120 29019283456 29610864640 30152849216 31739841280 32979678830 34460399104 36274104320 37691061520 43075498880 43491553280 44435777792 50783746048 52767486128 55544722240 59221729280 60305698432 63479682560 65959357660 68920798208 72548208640 75382123040 86150997760 86983106560 88871555584 101567492096 105534972256 111089444480 120611396864 126959365120 131918715320 137841596416 145096417280 150764246080 172301995520 177743111168 203134984192 211069944512 222178888960 241222793728 253918730240 263837430640 275683192832 301528492160 344603991040 355486222336 422139889024 444357777920 482445587456 507837460480 527674861280 551366385664 603056984320 689207982080 710972444672 844279778048 888715555840 964891174912 1015674920960 1055349722560 1206113968640 1378415964160 1421944889344 1688559556096 1777431111680 1929782349824 2110699445120 2412227937280 2756831928320 3377119112192 3554862223360 3859564699648 4221398890240 4824455874560 6754238224384 7109724446720 8442797780480 9648911749120 13508476448768 16885595560960 19297823498240 27016952897536 33771191121920 67542382243840 135084764487680
- Sum of all divisors σ(n): 397389316736160
- Sum of proper divisors (its aliquot sum) s(n): 262304552248480
- 135084764487680 is an abundant number, because the sum of its proper divisors (262304552248480) is greater than itself. Its abundance is 127219787760800
Bases of 135084764487680
- Binary: 111101011011011110111110110011011100000000000002
- Hexadecimal: 0x7ADBDF66E000
- Base-36: 1BVT30ZNY8
Squares and roots of 135084764487680
- 135084764487680 squared (1350847644876802) is 18247893596691971652871782400
- 135084764487680 cubed (1350847644876803) is 2465012408905378920657615383435864440832000
-
The
square root of 135084764487680 is 11622597.1489886889 -
The
cube root of 135084764487680 is 51310.0128380287
Scales and comparisons
How big is 135084764487680?- 135,084,764,487,680 seconds is equal to 4,295,277 years, 34 weeks, 4 days, 11 hours, 1 minute, 20 seconds.
-
To count from 1 to 135,084,764,487,680 would take you about ten million, seven hundred thirty-eight thousand, one hundred ninety-four 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 135084764487680 cubic inches would be around 4275.8 feet tall.
Recreational maths with 135084764487680
- 135084764487680 backwards is 086784467480531
- The number of decimal digits it has is: 15
- The sum of 135084764487680's digits is 71
- More coming soon!
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