138013421431062528
138,013,421,431,062,528 is an even composite number composed of five prime numbers multiplied together.
What does the number 138013421431062528 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1344 divisors.
138013421431062528 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 138013421431062528:
215 × 36 × 13 × 17 × 51132
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 17 × 5113 × 5113)See below for interesting mathematical facts about the number 138013421431062528 from the Numbermatics database.
Names of 138013421431062528
- Cardinal: 138013421431062528 can be written as One hundred thirty-eight quadrillion, thirteen trillion, four hundred twenty-one billion, four hundred thirty-one million, sixty-two thousand, five hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38013421431062528 × 1017
Factors of 138013421431062528
Divisors of 138013421431062528
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 32 34 36 39 48 51 52 54 64 68 72 78 81 96 102 104 108 117 128 136 144 153 156 162 192 204 208 216 221 234 243 256 272 288 306 312 324 351 384 408 416 432 442 459 468 486 512 544 576 612 624 648 663 702 729 768 816 832 864 884 918 936 972 1024 1053 1088 1152 1224 1248 1296 1326 1377 1404 1458 1536 1632 1664 1728 1768 1836 1872 1944 1989 2048 2106 2176 2304 2448 2496 2592 2652 2754 2808 2916 3072 3159 3264 3328 3456 3536 3672 3744 3888 3978 4096 4131 4212 4352 4608 4896 4992 5113 5184 5304 5508 5616 5832 5967 6144 6318 6528 6656 6912 7072 7344 7488 7776 7956 8192 8262 8424 8704 9216 9477 9792 9984 10226 10368 10608 11016 11232 11664 11934 12288 12393 12636 13056 13312 13824 14144 14688 14976 15339 15552 15912 16384 16524 16848 17408 17901 18432 18954 19584 19968 20452 20736 21216 22032 22464 23328 23868 24576 24786 25272 26112 26624 27648 28288 29376 29952 30678 31104 31824 32768 33048 33696 34816 35802 36864 37908 39168 39936 40904 41472 42432 44064 44928 46017 46656 47736 49152 49572 50544 52224 53248 53703 55296 56576 58752 59904 61356 62208 63648 66096 66469 67392 69632 71604 73728 75816 78336 79872 81808 82944 84864 86921 88128 89856 92034 93312 95472 98304 99144 101088 104448 106496 107406 110592 113152 117504 119808 122712 124416 127296 132192 132938 134784 138051 139264 143208 147456 151632 156672 159744 161109 163616 165888 169728 173842 176256 179712 184068 186624 190944 198288 199407 202176 208896 212992 214812 221184 226304 235008 239616 245424 248832 254592 260763 264384 265876 269568 276102 278528 286416 294912 303264 313344 319488 322218 327232 331776 339456 347684 352512 359424 368136 373248 381888 396576 398814 404352 414153 417792 425984 429624 442368 452608 470016 479232 490848 497664 509184 521526 528768 531752 539136 552204 557056 572832 598221 606528 626688 638976 644436 654464 663552 678912 695368 705024 718848 736272 746496 763776 782289 793152 797628 808704 828306 835584 859248 884736 905216 940032 958464 981696 995328 1018368 1043052 1057536 1063504 1078272 1104408 1129973 1145664 1196442 1213056 1242459 1253376 1277952 1288872 1308928 1327104 1357824 1390736 1410048 1437696 1472544 1492992 1527552 1564578 1586304 1595256 1617408 1656612 1671168 1718496 1794663 1810432 1880064 1916928 1963392 1990656 2036736 2086104 2115072 2127008 2156544 2208816 2259946 2291328 2346867 2392884 2426112 2484918 2506752 2577744 2617856 2654208 2715648 2781472 2820096 2875392 2945088 2985984 3055104 3129156 3172608 3190512 3234816 3313224 3389919 3436992 3589326 3620864 3727377 3760128 3833856 3926784 3981312 4073472 4172208 4230144 4254016 4313088 4417632 4519892 4582656 4693734 4785768 4852224 4969836 5013504 5155488 5235712 5383989 5431296 5562944 5640192 5750784 5890176 5971968 6110208 6258312 6345216 6381024 6469632 6626448 6779838 6873984 7040601 7178652 7241728 7454754 7520256 7853568 7962624 8146944 8344416 8460288 8508032 8626176 8835264 9039784 9165312 9387468 9571536 9704448 9939672 10169757 10310976 10471424 10767978 10862592 11125888 11280384 11501568 11780352 11943936 12220416 12516624 12690432 12762048 12939264 13252896 13559676 13747968 14081202 14357304 14909508 15040512 15707136 16151967 16293888 16688832 16920576 17016064 17252352 17670528 18079568 18330624 18774936 19143072 19408896 19879344 20339514 20621952 20942848 21121803 21535956 21725184 22251776 22560768 23560704 23887872 24440832 25033248 25380864 25524096 25878528 26142769 26505792 27119352 27495936 28162404 28714608 29819016 30509271 31414272 32303934 32587776 33377664 33841152 34032128 34504704 35341056 36159136 36661248 37549872 38286144 38817792 39758688 40679028 41243904 41885696 42243606 43071912 44503552 45121536 47121408 48455901 48881664 50066496 50761728 51048192 51757056 52285538 53011584 54238704 54991872 56324808 57429216 59638032 61018542 62828544 63365409 64607868 65175552 66755328 67682304 68064256 70682112 72318272 73322496 75099744 76572288 77635584 78428307 79517376 81358056 82487808 83771392 84487212 86143824 89007104 91527813 94242816 96911802 97763328 100132992 101523456 102096384 103514112 104571076 106023168 108477408 109983744 112649616 114858432 119276064 122037084 125657088 126730818 129215736 133510656 135364608 136128512 141364224 144636544 146644992 150199488 153144576 155271168 156856614 159034752 162716112 164975616 167542784 168974424 172287648 178014208 183055626 188485632 193823604 195526656 200265984 203046912 204192768 209142152 212046336 216954816 219967488 225299232 229716864 235284921 238552128 244074168 251314176 253461636 258431472 267021312 272257024 274583439 282728448 289273088 293289984 300398976 306289152 310542336 313713228 318069504 325432224 329951232 337948848 339855997 344575296 356028416 366111252 376971264 387647208 400531968 406093824 408385536 418284304 424092672 433909632 439934976 444427073 450598464 459433728 470569842 477104256 488148336 502628352 506923272 516862944 534042624 544514048 549166878 565456896 578546176 586579968 600797952 612578304 627426456 636139008 650864448 659902464 675897696 679711994 689150592 705854763 712056832 732222504 753942528 775294416 801063936 816771072 823750317 836568608 848185344 867819264 879869952 888854146 901196928 918867456 941139684 954208512 976296672 1013846544 1019567991 1033725888 1068085248 1089028096 1098333756 1130913792 1157092352 1201595904 1225156608 1254852912 1272278016 1301728896 1319804928 1333281219 1351795392 1359423988 1378301184 1411709526 1424113664 1464445008 1507885056 1550588832 1602127872 1633542144 1647500634 1673137216 1696370688 1735638528 1759739904 1777708292 1802393856 1837734912 1882279368 1908417024 1952593344 2027693088 2039135982 2067451776 2117564289 2136170496 2178056192 2196667512 2261827584 2314184704 2403191808 2450313216 2509705824 2544556032 2603457792 2639609856 2666562438 2703590784 2718847976 2756602368 2823419052 2848227328 2928890016 3058703973 3101177664 3204255744 3267084288 3295001268 3346274432 3392741376 3471277056 3555416584 3604787712 3675469824 3764558736 3816834048 3905186688 3999843657 4055386176 4078271964 4134903552 4235128578 4272340992 4393335024 4523655168 4628369408 4806383616 4900626432 5019411648 5089112064 5206915584 5279219712 5333124876 5407181568 5437695952 5513204736 5646838104 5777551949 5857780032 6117407946 6202355328 6352692867 6408511488 6534168576 6590002536 6692548864 6785482752 6942554112 7110833168 7209575424 7350939648 7529117472 7633668096 7810373376 7999687314 8110772352 8156543928 8269807104 8470257156 8544681984 8786670048 9176111919 9256738816 9612767232 9801252864 10038823296 10178224128 10413831168 10666249752 10814363136 10875391904 11026409472 11293676208 11555103898 11715560064 11999530971 12234815892 12404710656 12705385734 12817022976 13180005072 13385097728 13570965504 13885108224 14221666336 14419150848 14701879296 15058234944 15267336192 15620746752 15999374628 16221544704 16313087856 16539614208 16940514312 17332655847 17573340096 18352223838 18513477632 19058078601 19225534464 19602505728 20077646592 20356448256 20827662336 21332499504 21628726272 21750783808 22052818944 22587352416 23110207796 23431120128 23999061942 24469631784 24809421312 25410771468 25634045952 26360010144 26770195456 27528335757 27770216448 28443332672 28838301696 29403758592 30116469888 30534672384 31241493504 31998749256 32443089408 32626175712 33079228416 33881028624 34665311694 35146680192 35998592913 36704447676 37026955264 38116157202 38451068928 40155293184 40712896512 41655324672 42664999008 43257452544 43501567616 44105637888 45174704832 46220415592 46862240256 47998123884 48939263568 49618842624 50821542936 51997967541 52720020288 53540390912 55056671514 55540432896 56886665344 57676603392 58807517184 60232939776 61069344768 62482987008 63997498512 64886178816 65252351424 66158456832 67762057248 69330623388 70293360384 71997185826 73408895352 76232314404 76902137856 80310586368 82585007271 83310649344 85329998016 86514905088 87003135232 88211275776 90349409664 92440831184 93724480512 95996247768 97878527136 99237685248 101643085872 103995935082 105440040576 107080781824 107995778739 110113343028 111080865792 113773330688 115353206784 120465879552 122138689536 124965974016 127994997024 129772357632 130504702848 132316913664 135524114496 138661246776 140586720768 143994371652 146817790704 152464628808 155993902623 160621172736 165170014542 166621298688 170659996032 173029810176 174006270464 176422551552 180698819328 184881662368 187448961024 191992495536 195757054272 198475370496 203286171744 207991870164 210880081152 214161563648 215991557478 220226686056 227546661376 230706413568 240931759104 247755021813 249931948032 255989994048 259544715264 261009405696 264633827328 271048228992 277322493552 281173441536 287988743304 293635581408 304929257616 311987805246 321242345472 323987336217 330340029084 333242597376 341319992064 346059620352 348012540928 361397638656 369763324736 374897922048 383984991072 391514108544 396950740992 406572343488 415983740328 421760162304 428323127296 431983114956 440453372112 455093322752 467981707869 481863518208 495510043626 499863896064 511979988096 519089430528 522018811392 529267654656 542096457984 554644987104 562346883072 575977486608 587271162816 609858515232 623975610492 642484690944 647974672434 660680058168 682639984128 692119240704 696025081856 722795277312 739526649472 749795844096 767969982144 783028217088 793901481984 813144686976 831967480656 843520324608 856646254592 863966229912 880906744224 910186645504 935963415738 963727036416 991020087252 999727792128 1023959976192 1038178861056 1044037622784 1084192915968 1109289974208 1124693766144 1151954973216 1174542325632 1219717030464 1247951220984 1284969381888 1295949344868 1321360116336 1365279968256 1392050163712 1403945123607 1445590554624 1479053298944 1499591688192 1535939964288 1566056434176 1587802963968 1626289373952 1663934961312 1687040649216 1727932459824 1761813488448 1820373291008 1871926831476 1927454072832 1982040174504 2047919952384 2076357722112 2088075245568 2168385831936 2218579948416 2249387532288 2303909946432 2349084651264 2439434060928 2495902441968 2569938763776 2591898689736 2642720232672 2730559936512 2784100327424 2807890247214 2891181109248 2958106597888 2999183376384 3071879928576 3132112868352 3252578747904 3327869922624 3374081298432 3455864919648 3523626976896 3640746582016 3743853662952 3854908145664 3964080349008 4095839904768 4176150491136 4211835370821 4336771663872 4437159896832 4498775064576 4607819892864 4698169302528 4878868121856 4991804883936 5183797379472 5285440465344 5461119873024 5568200654848 5615780494428 5782362218496 5916213195776 6143759857152 6264225736704 6505157495808 6655739845248 6748162596864 6911729839296 7047253953792 7281493164032 7487707325904 7709816291328 7928160698016 8191679809536 8352300982272 8423670741642 8673543327744 8874319793664 8997550129152 9215639785728 9396338605056 9757736243712 9983609767872 10367594758944 10570880930688 10922239746048 11136401309696 11231560988856 11564724436992 11832426391552 12287519714304 12528451473408 13010314991616 13311479690496 13496325193728 13823459678592 14094507907584 14562986328064 14975414651808 15856321396032 16383359619072 16704601964544 16847341483284 17347086655488 17748639587328 18431279571456 18792677210112 19515472487424 19967219535744 20735189517888 21141761861376 21844479492096 22463121977712 23129448873984 23664852783104 24575039428608 25056902946816 26020629983232 26622959380992 26992650387456 27646919357184 28189015815168 29950829303616 31712642792064 32766719238144 33409203929088 33694682966568 34694173310976 35497279174656 36862559142912 37585354420224 39030944974848 39934439071488 41470379035776 42283523722752 43688958984192 44926243955424 47329705566208 49150078857216 50113805893632 52041259966464 53245918761984 55293838714368 56378031630336 59901658607232 63425285584128 65533438476288 67389365933136 69388346621952 70994558349312 73725118285824 75170708840448 78061889949696 79868878142976 82940758071552 84567047445504 89852487910848 94659411132416 98300157714432 100227611787264 104082519932928 106491837523968 110587677428736 112756063260672 119803317214464 126850571168256 131066876952576 134778731866272 141989116698624 147450236571648 150341417680896 156123779899392 159737756285952 165881516143104 169134094891008 179704975821696 189318822264832 196600315428864 208165039865856 212983675047936 221175354857472 225512126521344 239606634428928 253701142336512 269557463732544 283978233397248 294900473143296 300682835361792 312247559798784 319475512571904 331763032286208 338268189782016 359409951643392 393200630857728 425967350095872 442350709714944 451024253042688 479213268857856 507402284673024 539114927465088 567956466794496 589800946286592 624495119597568 638951025143808 663526064572416 676536379564032 718819903286784 851934700191744 884701419429888 902048506085376 958426537715712 1014804569346048 1078229854930176 1179601892573184 1277902050287616 1327052129144832 1353072759128064 1437639806573568 1703869400383488 1769402838859776 1916853075431424 2029609138692096 2156459709860352 2555804100575232 2654104258289664 2706145518256128 2875279613147136 3538805677719552 3833706150862848 4059218277384192 4312919419720704 5111608201150464 5308208516579328 5750559226294272 7667412301725696 8118436554768384 8625838839441408 10616417033158656 11501118452588544 15334824603451392 17251677678882816 23002236905177088 34503355357765632 46004473810354176 69006710715531264 138013421431062528
- Sum of all divisors σ(n): 471987546170783580
- Sum of proper divisors (its aliquot sum) s(n): 333974124739721052
- 138013421431062528 is an abundant number, because the sum of its proper divisors (333974124739721052) is greater than itself. Its abundance is 195960703308658524
Bases of 138013421431062528
- Binary: 1111010100101001001111001101111101010001010000000000000002
- Hexadecimal: 0x1EA5279BEA28000
- Base-36: 11QXOAIV4000
Squares and roots of 138013421431062528
- 138013421431062528 squared (1380134214310625282) is 19047704495108069494191479045750784
- 138013421431062528 cubed (1380134214310625283) is 2628838867777694087857353721519741486792424609021952
-
The
square root of 138013421431062528 is 371501576.6198880185 -
The
cube root of 138013421431062528 is 516781.6776517803
Scales and comparisons
How big is 138013421431062528?- 138,013,421,431,062,528 seconds is equal to 4,388,399,897 years, 50 weeks, 1 day, 12 hours, 28 minutes, 48 seconds.
-
To count from 1 to 138,013,421,431,062,528 would take you about thirteen billion, one hundred sixty-five million, one hundred ninety-nine thousand, six hundred ninety-three 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 138013421431062528 cubic inches would be around 43065.1 feet tall.
Recreational maths with 138013421431062528
- 138013421431062528 backwards is 825260134124310831
- 138013421431062528 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138013421431062528's digits is 54
- More coming soon!
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MLA style:
"Number 138013421431062528 - Facts about the integer". Numbermatics.com. 2024. Web. 11 June 2024.
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Numbermatics. (2024). Number 138013421431062528 - Facts about the integer. Retrieved 11 June 2024, from https://numbermatics.com/n/138013421431062528/
Chicago style:
Numbermatics. 2024. "Number 138013421431062528 - Facts about the integer". https://numbermatics.com/n/138013421431062528/
The information we have on file for 138013421431062528 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!
Keywords: Divisors of 138013421431062528, math, Factors of 138013421431062528, curriculum, school, college, exams, university, Prime factorization of 138013421431062528, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, thirteen trillion, four hundred twenty-one billion, four hundred thirty-one million, sixty-two thousand, five hundred twenty-eight.