138058192432005120
138,058,192,432,005,120 is an even composite number composed of five prime numbers multiplied together.
What does the number 138058192432005120 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1728 divisors.
138058192432005120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138058192432005120:
217 × 33 × 5 × 112 × 4013
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 11 × 401 × 401 × 401)See below for interesting mathematical facts about the number 138058192432005120 from the Numbermatics database.
Names of 138058192432005120
- Cardinal: 138058192432005120 can be written as One hundred thirty-eight quadrillion, fifty-eight trillion, one hundred ninety-two billion, four hundred thirty-two million, five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3805819243200512 × 1017
Factors of 138058192432005120
Divisors of 138058192432005120
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 32 33 36 40 44 45 48 54 55 60 64 66 72 80 88 90 96 99 108 110 120 121 128 132 135 144 160 165 176 180 192 198 216 220 240 242 256 264 270 288 297 320 330 352 360 363 384 396 401 432 440 480 484 495 512 528 540 576 594 605 640 660 704 720 726 768 792 802 864 880 960 968 990 1024 1056 1080 1089 1152 1188 1203 1210 1280 1320 1408 1440 1452 1485 1536 1584 1604 1728 1760 1815 1920 1936 1980 2005 2048 2112 2160 2178 2304 2376 2406 2420 2560 2640 2816 2880 2904 2970 3072 3168 3208 3267 3456 3520 3609 3630 3840 3872 3960 4010 4096 4224 4320 4356 4411 4608 4752 4812 4840 5120 5280 5445 5632 5760 5808 5940 6015 6144 6336 6416 6534 6912 7040 7218 7260 7680 7744 7920 8020 8192 8448 8640 8712 8822 9216 9504 9624 9680 10240 10560 10827 10890 11264 11520 11616 11880 12030 12288 12672 12832 13068 13233 13824 14080 14436 14520 15360 15488 15840 16040 16335 16384 16896 17280 17424 17644 18045 18432 19008 19248 19360 20480 21120 21654 21780 22055 22528 23040 23232 23760 24060 24576 25344 25664 26136 26466 27648 28160 28872 29040 30720 30976 31680 32080 32670 32768 33792 34560 34848 35288 36090 36864 38016 38496 38720 39699 40960 42240 43308 43560 44110 45056 46080 46464 47520 48120 48521 49152 50688 51328 52272 52932 54135 55296 56320 57744 58080 61440 61952 63360 64160 65340 65536 66165 67584 69120 69696 70576 72180 73728 76032 76992 77440 79398 81920 84480 86616 87120 88220 90112 92160 92928 95040 96240 97042 98304 101376 102656 104544 105864 108270 110592 112640 115488 116160 119097 122880 123904 126720 128320 130680 131072 132330 135168 138240 139392 141152 144360 145563 147456 152064 153984 154880 158796 160801 163840 168960 173232 174240 176440 180224 184320 185856 190080 192480 194084 196608 198495 202752 205312 209088 211728 216540 221184 225280 230976 232320 238194 242605 245760 247808 253440 256640 261360 264660 270336 276480 278784 282304 288720 291126 294912 304128 307968 309760 317592 321602 327680 337920 346464 348480 352880 360448 368640 371712 380160 384960 388168 393216 396990 405504 410624 418176 423456 433080 436689 442368 450560 461952 464640 476388 482403 485210 491520 495616 506880 513280 522720 529320 540672 552960 557568 564608 577440 582252 589824 595485 608256 615936 619520 635184 643204 655360 675840 692928 696960 705760 720896 727815 737280 743424 760320 769920 776336 793980 804005 811008 821248 836352 846912 866160 873378 884736 901120 923904 929280 952776 964806 970420 983040 991232 1013760 1026560 1045440 1058640 1081344 1105920 1115136 1129216 1154880 1164504 1179648 1190970 1216512 1231872 1239040 1270368 1286408 1310067 1351680 1385856 1393920 1411520 1441792 1447209 1455630 1474560 1486848 1520640 1539840 1552672 1587960 1608010 1622016 1642496 1672704 1693824 1732320 1746756 1768811 1769472 1802240 1847808 1858560 1905552 1929612 1940840 1966080 1982464 2027520 2053120 2090880 2117280 2162688 2183445 2211840 2230272 2258432 2309760 2329008 2381940 2412015 2433024 2463744 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448287459840 453947655040 468133519260 474221445120 478173290496 489040865280 495215623680 499342420544 510691111920 521643589632 528229998592 537944951808 544737186048 557117576640 561760223112 569065734144 579603988480 594258748416 597716613120 612829334304 624178025680 637564387328 652054487040 660287498240 672431189760 680921482560 695524786176 702200278890 711332167680 717259935744 726316248064 742823435520 749013630816 766036667880 782465384448 792344997888 796955484160 817105779072 842640334668 858565509120 869405982720 891388122624 896574919680 907895310080 936267038520 948442890240 956346580992 978081730560 990431247360 998684841088 1021382223840 1043287179264 1053300418335 1056459997184 1075889903616 1089474372096 1114235153280 1123520446224 1159207976960 1188517496832 1195433226240 1225658668608 1248356051360 1275128774656 1304108974080 1320574996480 1344862379520 1361842965120 1404400557780 1422664335360 1434519871488 1452632496128 1485646871040 1498027261632 1532073335760 1564930768896 1584689995776 1593910968320 1634211558144 1685280669336 1738811965440 1782776245248 1793149839360 1815790620160 1872534077040 1912693161984 1956163461120 1980862494720 1997369682176 2042764447680 2086574358528 2106600836670 2112919994368 2151779807232 2178948744192 2228470306560 2247040892448 2377034993664 2390866452480 2451317337216 2496712102720 2550257549312 2608217948160 2641149992960 2689724759040 2723685930240 2808801115560 2845328670720 2869039742976 2905264992256 2971293742080 2996054523264 3064146671520 3129861537792 3169379991552 3187821936640 3268423116288 3370561338672 3477623930880 3565552490496 3586299678720 3631581240320 3745068154080 3825386323968 3912326922240 3961724989440 3994739364352 4085528895360 4213201673340 4225839988736 4303559614464 4357897488384 4456940613120 4494081784896 4754069987328 4781732904960 4902634674432 4993424205440 5216435896320 5282299985920 5379449518080 5447371860480 5617602231120 5738079485952 5810529984512 5942587484160 5992109046528 6128293343040 6259723075584 6338759983104 6375643873280 6536846232576 6741122677344 7131104980992 7172599357440 7263162480640 7490136308160 7650772647936 7824653844480 7923449978880 7989478728704 8171057790720 8426403346680 8451679977472 8607119228928 8715794976768 8913881226240 8988163569792 9508139974656 9563465809920 9805269348864 9986848410880 10432871792640 10564599971840 10758899036160 10894743720960 11235204462240 11476158971904 11621059969024 11885174968320 11984218093056 12256586686080 12677519966208 12751287746560 13073692465152 13482245354688 14262209961984 14345198714880 14526324961280 14980272616320 15649307688960 15846899957760 15978957457408 16342115581440 16852806693360 17214238457856 17431589953536 17827762452480 17976327139584 19016279949312 19126931619840 19610538697728 19973696821760 21129199943680 21517798072320 21789487441920 22470408924480 22952317943808 23242119938048 23770349936640 23968436186112 24513173372160 25355039932416 26147384930304 26964490709376 28524419923968 28690397429760 29052649922560 29960545232640 31298615377920 31693799915520 31957914914816 32684231162880 33705613386720 34428476915712 34863179907072 35655524904960 35952654279168 38032559898624 38253863239680 39221077395456 39947393643520 42258399887360 43035596144640 43578974883840 44940817848960 46484239876096 47540699873280 47936872372224 49026346744320 52294769860608 53928981418752 57048839847936 57380794859520 58105299845120 59921090465280 63387599831040 63915829829632 65368462325760 67411226773440 68856953831424 69726359814144 71311049809920 71905308558336 76065119797248 78442154790912 79894787287040 86071192289280 87157949767680 89881635697920 92968479752192 95081399746560 95873744744448 98052693488640 104589539721216 107857962837504 114097679695872 114761589719040 116210599690240 119842180930560 126775199662080 127831659659264 130736924651520 134822453546880 139452719628288 142622099619840 143810617116672 156884309581824 159789574574080 172142384578560 174315899535360 179763271395840 190162799493120 191747489488896 196105386977280 209179079442432 215715925675008 228195359391744 232421199380480 239684361861120 255663319318528 261473849303040 269644907093760 278905439256576 285244199239680 287621234233344 313768619163648 319579149148160 344284769157120 348631799070720 359526542791680 380325598986240 383494978977792 392210773954560 418358158884864 431431851350016 464842398760960 479368723722240 511326638637056 522947698606080 539289814187520 570488398479360 575242468466688 627537238327296 639158298296320 697263598141440 719053085583360 766989957955584 784421547909120 836716317769728 862863702700032 958737447444480 1022653277274112 1045895397212160 1078579628375040 1140976796958720 1150484936933376 1255074476654592 1278316596592640 1394527196282880 1438106171166720 1533979915911168 1568843095818240 1725727405400064 1917474894888960 2091790794424320 2157159256750080 2300969873866752 2510148953309184 2556633193185280 2876212342333440 3067959831822336 3137686191636480 3451454810800128 3834949789777920 4183581588848640 4314318513500160 4601939747733504 5113266386370560 5752424684666880 6275372383272960 6902909621600256 7669899579555840 8628637027000320 9203879495467008 11504849369333760 12550744766545920 13805819243200512 15339799159111680 17257274054000640 23009698738667520 27611638486401024 34514548108001280 46019397477335040 69029096216002560 138058192432005120
- Sum of all divisors σ(n): 540902074479762240
- Sum of proper divisors (its aliquot sum) s(n): 402843882047757120
- 138058192432005120 is an abundant number, because the sum of its proper divisors (402843882047757120) is greater than itself. Its abundance is 264785689615752000
Bases of 138058192432005120
- Binary: 1111010100111101100110001110011100011111000000000000000002
- Hexadecimal: 0x1EA7B31CE3E0000
- Base-36: 11RDJM1D4AO0
Squares and roots of 138058192432005120
- 138058192432005120 squared (1380581924320051202) is 19060064497592555790514503706214400
- 138058192432005120 cubed (1380581924320051203) is 2631398052175062055587774906845172263708396617728000
-
The
square root of 138058192432005120 is 371561828.5454052397 -
The
cube root of 138058192432005120 is 516837.5522456091
Scales and comparisons
How big is 138058192432005120?- 138,058,192,432,005,120 seconds is equal to 4,389,823,477 years, 16 weeks, 19 hours, 12 minutes.
-
To count from 1 to 138,058,192,432,005,120 would take you about thirteen billion, one hundred sixty-nine million, four hundred seventy thousand, four hundred thirty-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 138058192432005120 cubic inches would be around 43069.8 feet tall.
Recreational maths with 138058192432005120
- 138058192432005120 backwards is 021500234291850831
- 138058192432005120 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138058192432005120's digits is 54
- More coming soon!
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"Number 138058192432005120 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 138058192432005120 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/138058192432005120/
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The information we have on file for 138058192432005120 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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