138344571460665447372
138,344,571,460,665,447,372 is an even composite number composed of five prime numbers multiplied together.
138344571460665447372 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 138344571460665447372:
22 × 311 × 112 × 373 × 3173
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 37 × 37 × 37 × 317 × 317 × 317)See below for interesting mathematical facts about the number 138344571460665447372 from the Numbermatics database.
Names of 138344571460665447372
- Cardinal: 138344571460665447372 can be written as One hundred thirty-eight quintillion, three hundred forty-four quadrillion, five hundred seventy-one trillion, four hundred sixty billion, six hundred sixty-five million, four hundred forty-seven thousand, three hundred seventy-two.
Scientific notation
- Scientific notation: 1.38344571460665447372 × 1020
Factors of 138344571460665447372
Divisors of 138344571460665447372
- Number of divisors d(n): 1728
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Complete list of divisors:
1 2 3 4 6 9 11 12 18 22 27 33 36 37 44 54 66 74 81 99 108 111 121 132 148 162 198 222 242 243 297 317 324 333 363 396 407 444 484 486 594 634 666 726 729 814 891 951 972 999 1089 1188 1221 1268 1332 1369 1452 1458 1628 1782 1902 1998 2178 2187 2442 2673 2738 2853 2916 2997 3267 3487 3564 3663 3804 3996 4107 4356 4374 4477 4884 5346 5476 5706 5994 6534 6561 6974 7326 8019 8214 8559 8748 8954 8991 9801 10461 10692 10989 11412 11729 11988 12321 13068 13122 13431 13948 14652 15059 16038 16428 17118 17908 17982 19602 19683 20922 21978 23458 24057 24642 25677 26244 26862 26973 29403 30118 31383 32076 32967 34236 35187 35964 36963 38357 39204 39366 40293 41844 43956 45177 46916 48114 49284 50653 51354 53724 53946 58806 59049 60236 62766 65934 70374 72171 73926 76714 77031 78732 80586 80919 88209 90354 94149 96228 98901 100489 101306 102708 105561 107892 110889 115071 117612 118098 120879 125532 129019 131868 135531 140748 144342 147852 151959 153428 154062 161172 161838 165649 176418 177147 180708 188298 197802 200978 202612 211122 216513 221778 230142 231093 236196 241758 242757 258038 264627 271062 282447 288684 296703 301467 303918 308124 316683 323676 331298 332667 345213 352836 354294 362637 376596 387057 395604 401956 406593 422244 433026 433973 443556 455877 460284 462186 483516 485514 496947 516076 529254 542124 557183 564894 593406 602934 607836 633366 649539 662596 665334 690426 693279 708588 725274 728271 774114 793881 813186 847341 866052 867946 890109 904401 911754 924372 950049 971028 993894 998001 1035639 1058508 1087911 1105379 1114366 1129788 1161171 1186812 1205868 1219779 1266732 1299078 1301919 1330668 1367631 1380852 1386558 1419209 1450548 1456542 1490841 1548228 1587762 1626372 1671549 1694682 1735892 1780218 1808802 1823508 1900098 1948617 1987788 1996002 2071278 2079837 2175822 2184813 2210758 2228732 2322342 2381643 2439558 2542023 2598156 2603838 2670327 2713203 2735262 2773116 2838418 2850147 2913084 2981682 2994003 3106917 3175524 3263733 3316137 3343098 3389364 3483513 3560436 3617604 3659337 3718093 3800196 3897234 3905757 3992004 4102893 4142556 4159674 4257627 4351644 4369626 4421516 4472523 4644684 4763286 4773703 4879116 5014647 5084046 5207676 5340654 5426406 5470524 5676836 5700294 5963364 5988006 6129013 6213834 6239511 6527466 6554439 6632274 6686196 6967026 7144929 7318674 7436186 7626069 7794468 7811514 8010981 8139609 8205786 8319348 8515254 8550441 8739252 8945046 8982009 9320751 9526572 9547406 9791199 9948411 10029294 10168092 10450539 10681308 10852812 10978011 11154279 11400588 11717271 11976012 12159169 12258026 12308679 12427668 12479022 12772881 13054932 13108878 13264548 13417569 13934052 14289858 14321109 14637348 14872372 15043941 15252138 15623028 16021962 16057001 16279218 16411572 17030508 17100882 17890092 17964018 18387039 18641502 18718533 19094812 19582398 19896822 20058588 20901078 21434787 21956022 22308558 22878207 23434542 24032943 24318338 24418827 24516052 24617358 24958044 25545762 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1346969773149759 1365610837074462 1376713585175148 1398818732476572 1437674808378699 1469421570708828 1531139423386518 1568372518231308 1709667339693588 1716732080766702 1757158099129521 1795959697533012 1803381018597198 1871392628583522 1916899744504932 1965847777029378 2098228098714858 2204132356063242 2296709135079777 2342877465506028 2352558777346962 2564501009540382 2575098121150053 2693939546299518 2731221674148924 2807088942875283 2875349616757398 2948771665544067 3062278846773036 3147342148072287 3306198534094863 3433464161533404 3514316198259042 3528838166020443 3606762037194396 3742785257167044 3846751514310573 3931695554058756 4040909319449277 4196456197429716 4313024425136097 4408264712126484 4593418270159554 4705117554693924 5129002019080764 5150196242300106 5271474297388563 5387879092599036 5614177885750566 5750699233514796 5897543331088134 6294684296144574 6612397068189726 7028632396518084 7057676332040886 7693503028621146 7725294363450159 8081818638898554 8421266828625849 8626048850272194 9186836540319108 9442026444216861 9918595602284589 10300392484600212 10542948594777126 10586514498061329 11228355771501132 11540254542931719 11795086662176268 12122727958347831 12589368592289148 12939073275408291 13224794136379452 14115352664081772 15387006057242292 15450588726900318 15814422892165689 16163637277797108 16842533657251698 17252097700544388 18884052888433722 19837191204569178 21085897189554252 21173028996122658 23080509085863438 24245455916695662 25263800485877547 25878146550816582 28326079332650583 30901177453800636 31628845784331378 31759543494183987 33685067314503396 34620763628795157 36368183875043493 37768105776867444 38817219826224873 39674382409138356 42346057992245316 46161018171726876 47443268676497067 48490911833391324 50527600971755094 51756293101633164 56652158665301166 63257691568662756 63519086988367974 69241527257590314 72736367750086986 77634439652449746 84978237997951749 94886537352994134 95278630482551961 101055201943510188 103862290886385471 109104551625130479 113304317330602332 116451659478674619 127038173976735948 138483054515180628 142329806029491201 145472735500173972 155268879304899492 169956475995903498 189773074705988268 190557260965103922 207724581772770942 218209103250260958 232903318957349238 284659612058982402 285835891447655883 311586872659156413 339912951991806996 349354978436023857 381114521930207844 415449163545541884 426989418088473603 436418206500521916 465806637914698476 569319224117964804 571671782895311766 623173745318312826 698709956872047714 853978836176947206 934760617977469239 1048064935308071571 1143343565790623532 1246347490636625652 1280968254265420809 1397419913744095428 1707957672353894412 1869521235954938478 2096129870616143142 2561936508530841618 3144194805924214713 3739042471909876956 3842904762796262427 4192259741232286284 5123873017061683236 6288389611848429426 7685809525592524854 11528714288388787281 12576779223696858852 15371619051185049708 23057428576777574562 34586142865166361843 46114857153555149124 69172285730332723686 138344571460665447372
- Sum of all divisors σ(n): 411555163386638544000
- Sum of proper divisors (its aliquot sum) s(n): 273210591925973096628
- 138344571460665447372 is an abundant number, because the sum of its proper divisors (273210591925973096628) is greater than itself. Its abundance is 134866020465307649256
Bases of 138344571460665447372
- Binary: 11101111111111010101010011011000011001101001001101110010011110011002
- Hexadecimal: 0x77FEAA6C3349B93CC
- Base-36: T72S1OBG8AOR0
Squares and roots of 138344571460665447372
- 138344571460665447372 squared (1383445714606654473722) is 19139220452635168594617489226444901706384
- 138344571460665447372 cubed (1383445714606654473723) is 2647807251611015770899541733069751967422493298943951548422848
-
The
square root of 138344571460665447372 is 11761996916.3686421777 -
The
cube root of 138344571460665447372 is 5171946.7028296095
Scales and comparisons
How big is 138344571460665447372?- 138,344,571,460,665,447,372 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,344,571,460,665,447,372 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 138344571460665447372 cubic inches would be around 430995.6 feet tall.
Recreational maths with 138344571460665447372
- 138344571460665447372 backwards is 273744566064175443831
- The number of decimal digits it has is: 21
- The sum of 138344571460665447372's digits is 90
- More coming soon!
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"Number 138344571460665447372 - Facts about the integer". Numbermatics.com. 2024. Web. 11 June 2024.
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Numbermatics. (2024). Number 138344571460665447372 - Facts about the integer. Retrieved 11 June 2024, from https://numbermatics.com/n/138344571460665447372/
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The information we have on file for 138344571460665447372 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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