138344445712512
138,344,445,712,512 is an even composite number composed of six prime numbers multiplied together.
138344445712512 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 138344445712512:
27 × 32 × 132 × 192 × 232 × 612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 13 × 19 × 19 × 23 × 23 × 61 × 61)See below for interesting mathematical facts about the number 138344445712512 from the Numbermatics database.
Names of 138344445712512
- Cardinal: 138344445712512 can be written as One hundred thirty-eight trillion, three hundred forty-four billion, four hundred forty-five million, seven hundred twelve thousand, five hundred twelve.
Scientific notation
- Scientific notation: 1.38344445712512 × 1014
Factors of 138344445712512
Divisors of 138344445712512
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 23 24 26 32 36 38 39 46 48 52 57 61 64 69 72 76 78 92 96 104 114 117 122 128 138 144 152 156 169 171 183 184 192 207 208 228 234 244 247 276 288 299 304 312 338 342 361 366 368 384 414 416 437 456 468 488 494 507 529 549 552 576 598 608 624 676 684 722 732 736 741 793 828 832 874 897 912 936 976 988 1014 1058 1083 1098 1104 1152 1159 1196 1216 1248 1311 1352 1368 1403 1444 1464 1472 1482 1521 1586 1587 1656 1664 1748 1794 1824 1872 1952 1976 2028 2116 2166 2196 2208 2223 2318 2379 2392 2432 2496 2622 2691 2704 2736 2806 2888 2928 2944 2964 3042 3172 3174 3211 3249 3312 3477 3496 3588 3648 3721 3744 3887 3904 3933 3952 4056 4209 4232 4332 4392 4416 4446 4636 4693 4758 4761 4784 4992 5244 5382 5408 5472 5612 5681 5776 5856 5928 6084 6344 6348 6422 6498 6624 6877 6954 6992 7137 7176 7296 7442 7488 7774 7808 7866 7904 8112 8303 8418 8464 8664 8784 8832 8892 9272 9386 9516 9522 9568 9633 10051 10309 10431 10488 10764 10816 10944 11163 11224 11362 11552 11661 11712 11856 12168 12627 12688 12696 12844 12996 13248 13754 13908 13984 14079 14274 14352 14884 14976 15067 15548 15732 15808 16224 16606 16836 16928 17043 17328 17568 17784 18239 18544 18772 19032 19044 19136 19266 20102 20618 20631 20862 20976 21528 21632 21888 22021 22326 22448 22724 23104 23322 23424 23712 24336 24909 25254 25376 25392 25688 25992 26496 26657 27508 27816 27968 28158 28548 28704 28899 29768 30134 30153 30927 31096 31464 31616 32269 32448 33212 33489 33672 33856 34086 34656 34983 35136 35568 36478 37088 37544 38064 38088 38272 38532 40204 41236 41262 41724 41952 42237 43056 44042 44652 44896 45201 45448 46208 46644 47424 48373 48672 49818 50508 50752 50784 51129 51376 51984 53314 54717 55016 55632 55936 56316 57096 57408 57798 59536 60268 60306 61009 61854 61893 62192 62928 64538 64896 66063 66424 66978 67344 67712 68172 69312 69966 70272 70699 71136 72956 73853 74176 74727 75088 76128 76176 77064 79971 80408 82472 82524 83448 83904 84474 85583 86112 88084 89304 89401 89792 90402 90459 90896 92781 93288 94848 96746 96807 97344 99636 101016 101504 101568 102258 102752 103968 106628 107939 109434 110032 111264 112632 114192 114816 115596 119072 120536 120612 122018 123708 123786 124384 125856 129076 130663 132126 132848 133956 134688 135603 136344 138624 139932 141398 142272 145119 145912 147706 148352 149454 150176 152256 152352 154128 159942 160816 164151 164944 165048 166896 167808 168948 171166 172224 176168 178608 178802 179584 180804 180918 181792 183027 185562 186576 190969 193492 193614 194688 195871 198189 199272 202032 203136 204516 205504 207936 212097 213256 215878 218868 220064 221559 222528 225264 228384 231192 237107 238144 239913 241072 241224 244036 247416 247572 248768 251712 256749 258152 261326 264252 265696 267912 268203 269376 271206 272688 279864 282796 284544 286273 290238 290421 291824 295412 298908 300352 304512 304704 308256 319884 321632 323817 328302 329888 330096 333792 337896 342332 344448 346541 352336 357216 357604 361608 361836 363584 366054 371124 373152 381938 386984 387228 391742 391989 396378 398544 404064 409032 411008 415872 419497 424194 426512 431756 435357 437736 440128 443118 445056 450528 456768 462384 474214 476288 479826 482144 482448 488072 494832 495144 497536 503424 506483 513498 516304 522652 528504 531392 535824 536406 538752 542412 545376 549081 559728 565592 572546 572907 580476 580842 583648 587613 590824 597816 600704 609408 613111 616512 628849 636291 639768 643264 647634 656604 659776 660192 664677 667584 675792 684664 693082 704672 711321 714432 715208 723216 723672 727168 732108 742248 746304 763876 770247 773968 774456 783484 783978 792756 797088 804609 808128 818064 838994 848388 853024 858819 863512 870714 875472 880256 886236 901056 913536 919087 924768 948428 959652 964288 964896 971451 976144 989664 990288 1012966 1026996 1032608 1039623 1045304 1057008 1062784 1071648 1072812 1084824 1090752 1098162 1112579 1119456 1131184 1145092 1145814 1160952 1161684 1167296 1175226 1175967 1181648 1195632 1226222 1233024 1257698 1258491 1272582 1279536 1286528 1295268 1313208 1319552 1320384 1329354 1335168 1343281 1351584 1369328 1386164 1403207 1409344 1422642 1428864 1430416 1446432 1447344 1464216 1484496 1492608 1519449 1527752 1540494 1547936 1548912 1566968 1567956 1585512 1594176 1609218 1616256 1626077 1636128 1677988 1696776 1698619 1706048 1717638 1718721 1727024 1741428 1750944 1762839 1772472 1802112 1838174 1839333 1849536 1886547 1896856 1919304 1928576 1929792 1942902 1952288 1968409 1979328 1980576 2025932 2053992 2065216 2079246 2090608 2114016 2133963 2143296 2145624 2169648 2181504 2196324 2225158 2238912 2262368 2290184 2291628 2321904 2323368 2334592 2350452 2351934 2363296 2391264 2452444 2482597 2515396 2516982 2545164 2559072 2576457 2590536 2626416 2640768 2658708 2686562 2703168 2738656 2757261 2772328 2806414 2818688 2845284 2860832 2892864 2894688 2928432 2968992 3038898 3055504 3080988 3095872 3097824 3118869 3133936 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605753668 614143608 621694554 624413568 628655508 632090784 640845504 648724752 652269696 665322242 673195878 676448032 681043467 684765016 694249296 698043008 706303872 710595649 714537408 714987936 724434048 741491112 745542976 755869056 761004036 764680384 765162528 770360643 773729856 774570264 785298384 803282038 808247232 818858144 824421039 828926072 838207344 838735848 842787712 860265432 864966336 897594504 908057956 908630502 921215412 925665728 932541831 936620352 948136176 953317248 972394046 978404544 988654816 997983363 1014672048 1020216704 1027147524 1032760352 1041373944 1047064512 1058788224 1071806112 1099228052 1112236668 1117609792 1118314464 1133803584 1147020576 1147743792 1161855396 1196792672 1204923057 1211507336 1228287216 1243389108 1257311016 1264181568 1281691008 1297449504 1330644484 1346391756 1352896064 1362086934 1362945753 1369530032 1388498592 1421191298 1429074816 1429975872 1458591069 1482982224 1491085952 1522008072 1529360768 1530325056 1540721286 1547459712 1549140528 1570596768 1606564076 1616494464 1637716288 1648842078 1657852144 1676414688 1677471696 1720530864 1729932672 1795189008 1816115912 1817261004 1842430824 1851331456 1865083662 1873240704 1896272352 1944788092 1956809088 1968699421 1977309632 1995966726 2029344096 2043130401 2054295048 2065520704 2082747888 2094129024 2131786947 2143612224 2198456104 2224473336 2235219584 2236628928 2267607168 2294041152 2295487584 2323710792 2393585344 2409846114 2423014672 2456574432 2473263117 2486778216 2514622032 2528363136 2594899008 2661288968 2692783512 2705792128 2724173868 2725891506 2739060064 2776997184 2842382596 2859951744 2917182138 2965964448 2993950089 3044016144 3060650112 3081442572 3098281056 3141193536 3213128152 3275432576 3297684156 3315704288 3352829376 3354943392 3441061728 3590378016 3614769171 3632231824 3634522008 3684861648 3730167324 3792544704 3889576184 3937398842 3954619264 3991933452 4058688192 4086260802 4108590096 4131041408 4165495776 4263573894 4287224448 4375773207 4396912208 4448946672 4473257856 4588082304 4590975168 4647421584 4787170688 4819692228 4846029344 4913148864 4946526234 4973556432 5029244064 5189798016 5221333247 5322577936 5385567024 5448347736 5451783012 5478120128 5553994368 5684765192 5834364276 5906098263 5931928896 5987900178 6088032288 6162885144 6196562112 6282387072 6320561299 6395360841 6426256304 6595368312 6631408576 6705658752 6709886784 6882123456 7180756032 7229538342 7264463648 7269044016 7369723296 7460334648 7585089408 7779152368 7874797684 7983866904 8117376384 8172521604 8217180192 8330991552 8527147788 8751546414 8793824416 8897893344 9181950336 9237743437 9294843168 9639384456 9692058688 9826297728 9893052468 9947112864 10058488128 10442666494 10645155872 10771134048 10896695472 10903566024 10956240256 11369530384 11668728552 11812196526 11863857792 11975800356 12176064576 12325770288 12393124224 12641122598 12790721682 12852512608 13190736624 13262817152 13419773568 13764246912 14361512064 14459076684 14528927296 14538088032 14739446592 14920669296 15558304736 15663999741 15749595368 15967733808 16345043208 16434360384 16661983104 17054295576 17503092828 17587648832 17718294789 17795786688 18475486874 18589686336 18961683897 19278768912 19384117376 19786104936 19894225728 20116976256 20885332988 21290311744 21542268096 21793390944 21807132048 22739060768 23337457104 23624393052 23951600712 24352129152 24651540576 25282245196 25581443364 25705025216 26381473248 27713230311 28918153368 29057854592 29076176064 29478893184 29841338592 31116609472 31327999482 31499190736 31935467616 32690086416 32868720768 34108591152 35006185656 35175297664 35436589578 35591573376 36950973748 37179372672 37923367794 38557537824 39572209872 39788451456 41770665976 42580623488 43084536192 43586781888 43614264096 45478121536 46674914208 46991999223 47248786104 47903201424 49303081152 50564490392 51162886728 51410050432 52762946496 55426460622 56885051691 57836306736 58152352128 59682677184 62233218944 62655998964 62998381472 63870935232 65380172832 68217182304 70012371312 70873179156 73901947496 75846735588 77115075648 79144419744 83139690933 83541331952 87173563776 87228528192 90956243072 93349828416 93983998446 94497572208 95806402848 98606162304 101128980784 102325773456 105525892992 110852921244 113770103382 115672613472 119365354368 120090664681 125311997928 125996762944 127741870464 130760345664 136434364608 140024742624 141746358312 147803894992 151693471176 154230151296 158288839488 166279381866 167082663904 174457056384 186699656832 187967996892 188995144416 191612805696 202257961568 204651546912 221705842488 227540206764 231345226944 240181329362 250623995856 251993525888 261520691328 272868729216 280049485248 283492716624 295607789984 303386942352 316577678976 332558763732 334165327808 360271994043 375935993784 377990288832 383225611392 404515923136 409303093824 443411684976 455080413528 462690453888 480362658724 501247991712 560098970496 566985433248 591215579968 606773884704 665117527464 668330655616 720543988086 751871987568 755980577664 809031846272 818606187648 886823369952 910160827056 960725317448 1002495983424 1080815982129 1133970866496 1182431159936 1213547769408 1330235054928 1441087976172 1503743975136 1773646739904 1820321654112 1921450634896 2004991966848 2161631964258 2267941732992 2427095538816 2660470109856 2882175952344 3007487950272 3547293479808 3640643308224 3842901269792 4323263928516 5320940219712 5764351904688 6014975900544 7281286616448 7685802539584 8646527857032 10641880439424 11528703809376 15371605079168 17293055714064 23057407618752 34586111428128 46114815237504 69172222856256 138344445712512
- Sum of all divisors σ(n): 483527379408255
- Sum of proper divisors (its aliquot sum) s(n): 345182933695743
- 138344445712512 is an abundant number, because the sum of its proper divisors (345182933695743) is greater than itself. Its abundance is 206838487983231
Bases of 138344445712512
- Binary: 111110111010010110100111000101100011000100000002
- Hexadecimal: 0x7DD2D38B1880
- Base-36: 1D1EK71280
Squares and roots of 138344445712512
- 138344445712512 squared (1383444457125122) is 19139185659502179899353350144
- 138344445712512 cubed (1383444457125123) is 2647800031452687507089412289010404297801728
-
The
square root of 138344445712512 is 11761991.5708400335 -
The
cube root of 138344445712512 is 51719.4513581729
Scales and comparisons
How big is 138344445712512?- 138,344,445,712,512 seconds is equal to 4,398,925 years, 23 weeks, 1 day, 9 hours, 55 minutes, 12 seconds.
-
To count from 1 to 138,344,445,712,512 would take you about ten million, nine hundred ninety-seven thousand, three hundred thirteen 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 138344445712512 cubic inches would be around 4310 feet tall.
Recreational maths with 138344445712512
- 138344445712512 backwards is 215217544443831
- The number of decimal digits it has is: 15
- The sum of 138344445712512's digits is 54
- More coming soon!
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MLA style:
"Number 138344445712512 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
APA style:
Numbermatics. (2024). Number 138344445712512 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/138344445712512/
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The information we have on file for 138344445712512 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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