138357267793275544
138,357,267,793,275,544 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138357267793275544 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 768 divisors.
138357267793275544 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138357267793275544:
23 × 132 × 19 × 23 × 31 × 61 × 2143 × 57787
(2 × 2 × 2 × 13 × 13 × 19 × 23 × 31 × 61 × 2143 × 57787)See below for interesting mathematical facts about the number 138357267793275544 from the Numbermatics database.
Names of 138357267793275544
- Cardinal: 138357267793275544 can be written as One hundred thirty-eight quadrillion, three hundred fifty-seven trillion, two hundred sixty-seven billion, seven hundred ninety-three million, two hundred seventy-five thousand, five hundred forty-four.
Scientific notation
- Scientific notation: 1.38357267793275544 × 1017
Factors of 138357267793275544
Divisors of 138357267793275544
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 8 13 19 23 26 31 38 46 52 61 62 76 92 104 122 124 152 169 184 244 247 248 299 338 403 437 488 494 589 598 676 713 793 806 874 988 1159 1178 1196 1352 1403 1426 1586 1612 1748 1891 1976 2143 2318 2356 2392 2806 2852 3172 3211 3224 3496 3782 3887 4286 4636 4712 5239 5612 5681 5704 6344 6422 7564 7657 7774 8572 9269 9272 10309 10478 11224 11362 12844 13547 15067 15128 15314 15548 17144 18239 18538 20618 20956 22724 24583 25688 26657 27094 27859 30134 30628 31096 35929 36478 37076 40717 41236 41912 43493 45448 49166 49289 53314 54188 55718 57787 60268 61256 66433 71858 72956 73853 74152 81434 82472 86986 98332 98578 99541 106628 108376 111436 115574 120497 120536 130723 132866 143716 145912 147706 162868 173972 176111 195871 196664 197156 199082 213256 222872 231148 237107 240994 261446 265732 287432 295412 319579 325736 346541 347944 352222 362167 391742 394312 398164 462296 467077 474214 481988 522892 529321 531464 565409 590824 639158 640757 693082 704444 724334 751231 783484 796328 826367 863629 934154 936491 948428 963976 1045784 1058642 1097953 1130818 1262227 1278316 1281514 1329101 1386164 1408888 1448668 1502462 1527959 1566968 1652734 1699399 1727258 1791397 1868308 1872982 1896856 2117284 2195906 2261636 2289443 2483737 2524454 2556632 2563028 2658202 2772328 2897336 3004924 3006629 3055918 3305468 3398798 3454516 3525007 3582794 3736616 3745964 4052413 4234568 4391812 4505033 4523272 4578886 4967474 5048908 5126056 5316404 6009848 6013258 6072001 6111836 6610936 6797596 6881173 6909032 7050014 7165588 7350317 7491928 8104826 8329841 8783624 9010066 9157772 9766003 9934948 10097816 10632808 10742771 11227177 12026516 12144002 12174383 12223672 13595192 13762346 14100028 14273389 14331176 14700634 16209652 16408951 16659682 17278313 18020132 18315544 19532006 19863467 19869896 21485542 22092187 22454354 23288161 24053032 24288004 24348766 25252919 27524692 28200056 28546778 29031221 29401268 32288581 32419304 32817902 33319364 34036543 34556626 36040264 39064012 39086177 39726934 41202131 42971084 44184374 44908708 45825091 46576322 48576008 48697532 50505838 52681369 55049384 57093556 57125951 58062442 58802536 64577162 65635804 66638728 66975133 68073086 69113252 76995847 78128024 78172354 79453868 81075161 82404262 85942168 88368748 89817416 91650182 93152644 93205499 97395064 101011676 105362738 109275217 114187112 114251902 116124884 123837541 129154324 131271608 133950266 136146172 138226504 139656023 153991694 156344708 158266979 158907736 162150322 164808524 176737496 183300364 185554057 186305288 186410998 202023352 210725476 213316363 218550434 224618069 228503804 232249768 247675082 258225071 258308648 267900532 272292344 279312046 302746093 307983388 312689416 316533958 324300644 328287947 329617048 366600728 371108114 372821996 377405873 419751553 421450952 426632726 437100868 442475059 449236138 457007608 495350164 508120301 516450142 535627703 535801064 558624092 595726183 605492186 615966776 633067916 648601288 656575894 684857797 742216228 742637363 745643992 754811746 782840489 839503106 853265452 870676729 874201736 884950118 898472276 990700328 1000946011 1016240602 1032900284 1053977093 1071255406 1117248184 1191452366 1210984372 1211671487 1266135832 1313151788 1369715594 1420577821 1484432456 1485274726 1509623492 1540428059 1565680978 1609888033 1679006212 1706530904 1741353458 1769900236 1770904481 1796944552 2001892022 2032481204 2065800568 2076229123 2107954186 2142510812 2352913279 2382904732 2421968744 2423342974 2513329991 2626303576 2739431188 2841155642 2848263443 2970549452 3019246984 3080856118 3131361956 3219776066 3358012424 3482706916 3539800472 3541808962 3838963771 4003784044 4064962408 4152458246 4215908372 4267743311 4285021624 4705826558 4765809464 4846685948 4906276349 5026659982 5478862376 5682311284 5696526886 5752175767 5941098904 6161712236 6262723912 6439552132 6963160139 6965413832 7083617924 7554090001 7677927542 8007568088 8304916492 8431816744 8535486622 9411653116 9654285719 9693371896 9812552698 10053319964 10176926357 11318797477 11364622568 11393053772 11504351534 12323424472 12879104264 13012298143 13701702209 13926320278 14167235848 15108180002 15355855084 15751729331 16609832984 17070973244 18467511673 18823306232 19308571438 19625105396 20025564767 20106639928 20353852714 20928544429 22637594954 22786107544 23008703068 23021758253 26024596286 26990978599 27403404418 27852640556 30216360004 30587872627 30711710168 31503458662 32673289883 34141946488 36935023346 37027424759 38617142876 39250210792 40051129534 40707705428 41857088858 45275189908 46017406136 46043516506 47753269829 49906529023 52049192572 53981957198 54117005417 54806808836 55705281112 60432720008 61175745254 63006917324 65346579766 72940311649 73870046692 74054849518 77234285752 80102259068 81415410856 83714177716 88296166733 90550379816 92087033012 95506539658 98203170013 99813058046 104098385144 107963914396 108234010834 109613617672 122351490508 126013834648 130693159532 132300042641 143527710019 145880623298 147740093384 148109699036 160204518136 167428355432 173744070023 176592333466 184174066024 191013079316 196406340026 199626116092 215927828792 216468021668 234176790031 244702981016 260332341971 261386319064 264600085282 287055420038 291761246596 296219398072 299282857289 347488140046 350882721787 353184666932 382026158632 392812680052 397642344151 399252232184 424752768479 432936043336 468353580062 481356521867 520664683942 529200170564 574110840076 583522493192 598565714578 620792507777 648784877299 694976280092 701765443574 703521070421 706369333864 785625360104 795284688302 849505536958 936707160124 948224051437 962713043734 1041329367884 1058400341128 1147850167529 1148221680152 1197131429156 1241585015554 1276641210169 1297569754598 1389952560184 1403530887148 1407042140842 1590569376604 1677627167927 1699011073916 1865860230247 1873414320248 1896448102874 1925426087468 2082658735768 2258672910299 2295700335058 2394262858312 2483170031108 2553282420338 2595139509196 2807061774296 2814084281684 3044298270403 3181138753208 3301137330437 3355254335854 3398022147832 3731720460494 3792896205748 3850852174936 4449359010589 4517345820598 4591400670116 4966340062216 5106564840676 5190279018392 5386066170713 5628168563368 6088596540806 6602274660874 6710508671708 7463440920988 7585792411496 8070302601101 8898718021178 9034691641196 9145773915473 9182801340232 10213129681352 10772132341426 12177193081612 12326912668681 13204549321748 13421017343416 14922052177877 14926881841976 16140605202202 17797436042356 18069383282392 18291547830946 21544264682852 21809153183051 24256182993211 24354386163224 24653825337362 26409098643496 29362747833887 29844104355754 32281210404404 35594872084712 36583095661892 39575877515239 42914785295681 43088529365704 43618306366102 48512365986422 49307650674724 57841667137657 58725495667774 59688208711508 64562420808808 70018860219269 73166191323784 79151755030478 85829570591362 87236612732204 97024731972844 98615301349448 102335257243547 115683334275314 117450991335548 119376417423016 140037720438538 158303510060956 171659141182724 174473225464408 194049463945688 204670514487094 231366668550628 234901982671096 280075440877076 283518991379663 316607020121912 343318282365448 409341028974188 462733337101256 557892208843853 560150881754152 567037982759326 751941672789541 818682057948376 910245182850497 1115784417687706 1134075965518652 1330358344166111 1503883345579082 1820490365700994 2231568835375412 2268151931037304 2660716688332222 3007766691158164 3640980731401988 4463137670750824 5321433376664444 6015533382316328 7281961462803976 10642866753328888 17294658474159443 34589316948318886 69178633896637772 138357267793275544
- Sum of all divisors σ(n): 323882661268684800
- Sum of proper divisors (its aliquot sum) s(n): 185525393475409256
- 138357267793275544 is an abundant number, because the sum of its proper divisors (185525393475409256) is greater than itself. Its abundance is 47168125682133712
Bases of 138357267793275544
- Binary: 1111010111000101100110011101101101110100101101010100110002
- Hexadecimal: 0x1EB8B33B6E96A98
- Base-36: 11UBK3D1BMAG
Squares and roots of 138357267793275544
- 138357267793275544 squared (1383572677932755442) is 19142733551220162120842584708495936
- 138357267793275544 cubed (1383572677932755443) is 2648536312241488517827929727663084508565107052189184
-
The
square root of 138357267793275544 is 371964067.8792449489 -
The
cube root of 138357267793275544 is 517210.4913463231
Scales and comparisons
How big is 138357267793275544?- 138,357,267,793,275,544 seconds is equal to 4,399,333,148 years, 36 weeks, 1 day, 20 hours, 59 minutes, 4 seconds.
-
To count from 1 to 138,357,267,793,275,544 would take you about thirteen billion, one hundred ninety-seven million, nine hundred ninety-nine thousand, four hundred forty-six 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 138357267793275544 cubic inches would be around 43100.9 feet tall.
Recreational maths with 138357267793275544
- 138357267793275544 backwards is 445572397762753831
- The number of decimal digits it has is: 18
- The sum of 138357267793275544's digits is 88
- More coming soon!
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The information we have on file for 138357267793275544 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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