138627325624320
138,627,325,624,320 is an even composite number composed of six prime numbers multiplied together.
What does the number 138627325624320 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
138627325624320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138627325624320:
223 × 32 × 5 × 132 × 41 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 13 × 41 × 53)See below for interesting mathematical facts about the number 138627325624320 from the Numbermatics database.
Names of 138627325624320
- Cardinal: 138627325624320 can be written as One hundred thirty-eight trillion, six hundred twenty-seven billion, three hundred twenty-five million, six hundred twenty-four thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3862732562432 × 1014
Factors of 138627325624320
Divisors of 138627325624320
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 41 45 48 52 53 60 64 65 72 78 80 82 90 96 104 106 117 120 123 128 130 144 156 159 160 164 169 180 192 195 205 208 212 234 240 246 256 260 265 288 312 318 320 328 338 360 369 384 390 410 416 424 468 477 480 492 507 512 520 530 533 576 585 615 624 636 640 656 676 689 720 738 768 780 795 820 832 845 848 936 954 960 984 1014 1024 1040 1060 1066 1152 1170 1230 1248 1272 1280 1312 1352 1378 1440 1476 1521 1536 1560 1590 1599 1640 1664 1690 1696 1845 1872 1908 1920 1968 2028 2048 2067 2080 2120 2132 2173 2304 2340 2385 2460 2496 2535 2544 2560 2624 2665 2704 2756 2880 2952 3042 3072 3120 3180 3198 3280 3328 3380 3392 3445 3690 3744 3816 3840 3936 4056 4096 4134 4160 4240 4264 4346 4608 4680 4770 4797 4920 4992 5070 5088 5120 5248 5330 5408 5512 5760 5904 6084 6144 6201 6240 6360 6396 6519 6560 6656 6760 6784 6890 6929 7380 7488 7605 7632 7680 7872 7995 8112 8192 8268 8320 8480 8528 8692 8957 9216 9360 9540 9594 9840 9984 10140 10176 10240 10335 10496 10660 10816 10865 11024 11520 11808 12168 12288 12402 12480 12720 12792 13038 13120 13312 13520 13568 13780 13858 14760 14976 15210 15264 15360 15744 15990 16224 16384 16536 16640 16960 17056 17384 17914 18432 18720 19080 19188 19557 19680 19968 20280 20352 20480 20670 20787 20992 21320 21632 21730 22048 23040 23616 23985 24336 24576 24804 24960 25440 25584 26076 26240 26624 26871 27040 27136 27560 27716 28249 29520 29952 30420 30528 30720 31005 31488 31980 32448 32595 32768 33072 33280 33920 34112 34645 34768 35828 36864 37440 38160 38376 39114 39360 39936 40560 40704 40960 41340 41574 41984 42640 43264 43460 44096 44785 46080 47232 47970 48672 49152 49608 49920 50880 51168 52152 52480 53248 53742 54080 54272 55120 55432 56498 59040 59904 60840 61056 61440 62010 62361 62976 63960 64896 65190 65536 66144 66560 67840 68224 69290 69536 71656 73728 74880 76320 76752 78228 78720 79872 80613 81120 81408 81920 82680 83148 83968 84747 85280 86528 86920 88192 89570 92160 94464 95940 97344 97785 98304 99216 99840 101760 102336 103935 104304 104960 106496 107484 108160 108544 110240 110864 112996 118080 119808 121680 122112 122880 124020 124722 125952 127920 129792 130380 131072 132288 133120 134355 135680 136448 138580 139072 141245 143312 147456 149760 152640 153504 156456 157440 159744 161226 162240 162816 163840 165360 166296 167936 169494 170560 173056 173840 176384 179140 184320 188928 191880 194688 195570 196608 198432 199680 203520 204672 207870 208608 209920 212992 214968 216320 217088 220480 221728 225992 236160 239616 243360 244224 245760 248040 249444 251904 254241 255840 259584 260760 262144 264576 266240 268710 271360 272896 277160 278144 282490 286624 294912 299520 305280 307008 311805 312912 314880 319488 322452 324480 325632 327680 330720 332592 335872 338988 341120 346112 347680 352768 358280 367237 368640 377856 383760 389376 391140 393216 396864 399360 403065 407040 409344 415740 417216 419840 423735 425984 429936 432640 434176 440960 443456 451984 472320 479232 486720 488448 491520 496080 498888 503808 508482 511680 519168 521520 524288 529152 532480 537420 542720 545792 554320 556288 564980 573248 589824 599040 610560 614016 623610 625824 629760 638976 644904 648960 651264 655360 661440 665184 671744 677976 682240 692224 695360 705536 716560 734474 737280 755712 767520 778752 782280 786432 793728 798720 806130 814080 818688 831480 834432 839680 847470 851968 859872 865280 868352 881920 886912 903968 944640 958464 973440 976896 983040 992160 997776 1007616 1016964 1023360 1038336 1043040 1048576 1058304 1064960 1074840 1085440 1091584 1101711 1108640 1112576 1129960 1146496 1179648 1198080 1221120 1228032 1247220 1251648 1259520 1271205 1277952 1289808 1297920 1302528 1310720 1322880 1330368 1343488 1355952 1364480 1384448 1390720 1411072 1433120 1468948 1474560 1511424 1535040 1557504 1564560 1572864 1587456 1597440 1612260 1628160 1637376 1662960 1668864 1679360 1694940 1703936 1719744 1730560 1736704 1763840 1773824 1807936 1836185 1889280 1916928 1946880 1953792 1966080 1984320 1995552 2015232 2033928 2046720 2076672 2086080 2097152 2116608 2129920 2149680 2170880 2183168 2203422 2217280 2225152 2259920 2292992 2359296 2396160 2442240 2456064 2494440 2503296 2519040 2542410 2555904 2579616 2595840 2605056 2621440 2645760 2660736 2686976 2711904 2728960 2768896 2781440 2822144 2866240 2937896 2949120 3022848 3070080 3115008 3129120 3145728 3174912 3194880 3224520 3256320 3274752 3305133 3325920 3337728 3358720 3389880 3407872 3439488 3461120 3473408 3527680 3547648 3615872 3672370 3778560 3833856 3893760 3907584 3932160 3968640 3991104 4030464 4067856 4093440 4153344 4172160 4194304 4233216 4259840 4299360 4341760 4366336 4406844 4434560 4450304 4519840 4585984 4718592 4792320 4884480 4912128 4988880 5006592 5038080 5084820 5111808 5159232 5191680 5210112 5242880 5291520 5321472 5373952 5423808 5457920 5508555 5537792 5562880 5644288 5732480 5875792 5898240 6045696 6140160 6230016 6258240 6291456 6349824 6389760 6449040 6512640 6549504 6610266 6651840 6675456 6717440 6779760 6815744 6878976 6922240 6946816 7055360 7095296 7231744 7344740 7557120 7667712 7787520 7815168 7864320 7937280 7982208 8060928 8135712 8186880 8306688 8344320 8388608 8466432 8519680 8598720 8683520 8732672 8813688 8869120 8900608 9039680 9171968 9437184 9584640 9768960 9824256 9977760 10013184 10076160 10169640 10223616 10318464 10383360 10420224 10485760 10583040 10642944 10747904 10847616 10915840 11017110 11075584 11125760 11288576 11464960 11751584 11796480 12091392 12280320 12460032 12516480 12582912 12699648 12779520 12898080 13025280 13099008 13220532 13303680 13350912 13434880 13559520 13631488 13757952 13844480 13893632 14110720 14190592 14463488 14689480 15114240 15335424 15575040 15630336 15728640 15874560 15964416 16121856 16271424 16373760 16525665 16613376 16688640 16932864 17039360 17197440 17367040 17465344 17627376 17738240 17801216 18079360 18343936 18874368 19169280 19537920 19648512 19955520 20026368 20152320 20339280 20447232 20636928 20766720 20840448 20971520 21166080 21285888 21495808 21695232 21831680 22034220 22151168 22251520 22577152 22929920 23503168 23592960 24182784 24560640 24920064 25032960 25165824 25399296 25559040 25796160 26050560 26198016 26441064 26607360 26701824 26869760 27119040 27262976 27515904 27688960 27787264 28221440 28381184 28926976 29378960 30228480 30670848 31150080 31260672 31457280 31749120 31928832 32243712 32542848 32747520 33051330 33226752 33377280 33865728 34078720 34394880 34734080 34930688 35254752 35476480 35602432 36158720 36687872 37748736 38338560 39075840 39297024 39911040 40052736 40304640 40678560 40894464 41273856 41533440 41680896 41943040 42332160 42571776 42991616 43390464 43663360 44068440 44302336 44503040 45154304 45859840 47006336 47185920 48365568 49121280 49840128 50065920 50798592 51118080 51592320 52101120 52396032 52882128 53214720 53403648 53739520 54238080 54525952 55031808 55377920 55574528 56442880 56762368 57853952 58757920 60456960 61341696 62300160 62521344 62914560 63498240 63857664 64487424 65085696 65495040 66102660 66453504 66754560 67731456 68157440 68789760 69468160 69861376 70509504 70952960 71204864 72317440 73375744 75497472 76677120 78151680 78594048 79822080 80105472 80609280 81357120 81788928 82547712 83066880 83361792 84664320 85143552 85983232 86780928 87326720 88136880 88604672 89006080 90308608 91719680 94012672 94371840 96731136 98242560 99680256 100131840 101597184 102236160 103184640 104202240 104792064 105764256 106429440 106807296 107479040 108476160 109051904 110063616 110755840 111149056 112885760 113524736 115707904 117515840 120913920 122683392 124600320 125042688 125829120 126996480 127715328 128974848 130171392 130990080 132205320 132907008 133509120 135462912 136314880 137579520 138936320 139722752 141019008 141905920 142409728 144634880 146751488 153354240 156303360 157188096 159644160 160210944 161218560 162714240 163577856 165095424 166133760 166723584 169328640 170287104 171966464 173561856 174653440 176273760 177209344 178012160 180617216 183439360 188025344 188743680 193462272 196485120 199360512 200263680 203194368 204472320 206369280 208404480 209584128 211528512 212858880 213614592 214958080 216952320 220127232 221511680 222298112 225771520 227049472 231415808 235031680 241827840 245366784 249200640 250085376 253992960 255430656 257949696 260342784 261980160 264410640 265814016 267018240 270925824 272629760 275159040 277872640 279445504 282038016 283811840 284819456 289269760 293502976 306708480 312606720 314376192 319288320 320421888 322437120 325428480 327155712 330190848 332267520 333447168 338657280 340574208 343932928 347123712 349306880 352547520 354418688 356024320 361234432 366878720 376050688 377487360 386924544 392970240 398721024 400527360 406388736 408944640 412738560 416808960 419168256 423057024 425717760 427229184 429916160 433904640 440254464 443023360 444596224 451543040 454098944 462831616 470063360 483655680 490733568 498401280 500170752 507985920 510861312 515899392 520685568 523960320 528821280 531628032 534036480 541851648 545259520 550318080 555745280 558891008 564076032 567623680 569638912 578539520 587005952 613416960 625213440 628752384 638576640 640843776 644874240 650856960 660381696 664535040 666894336 677314560 681148416 694247424 698613760 705095040 708837376 712048640 722468864 733757440 752101376 773849088 785940480 797442048 801054720 812777472 817889280 825477120 833617920 838336512 846114048 851435520 854458368 859832320 867809280 880508928 886046720 903086080 908197888 925663232 940126720 967311360 981467136 996802560 1000341504 1015971840 1021722624 1031798784 1041371136 1047920640 1057642560 1063256064 1068072960 1083703296 1100636160 1111490560 1117782016 1128152064 1135247360 1139277824 1157079040 1174011904 1226833920 1250426880 1257504768 1277153280 1281687552 1289748480 1301713920 1320763392 1329070080 1333788672 1354629120 1362296832 1388494848 1397227520 1410190080 1417674752 1424097280 1444937728 1467514880 1504202752 1547698176 1571880960 1594884096 1602109440 1625554944 1635778560 1650954240 1667235840 1676673024 1692228096 1702871040 1708916736 1719664640 1735618560 1761017856 1772093440 1806172160 1816395776 1851326464 1880253440 1934622720 1993605120 2000683008 2031943680 2043445248 2082742272 2095841280 2115285120 2126512128 2136145920 2167406592 2201272320 2222981120 2235564032 2256304128 2270494720 2278555648 2314158080 2348023808 2453667840 2500853760 2515009536 2554306560 2563375104 2579496960 2603427840 2641526784 2658140160 2709258240 2724593664 2776989696 2794455040 2820380160 2848194560 2889875456 2935029760 3008405504 3095396352 3143761920 3189768192 3204218880 3251109888 3301908480 3334471680 3353346048 3384456192 3405742080 3417833472 3471237120 3522035712 3544186880 3612344320 3632791552 3702652928 3760506880 3869245440 3987210240 4001366016 4063887360 4086890496 4165484544 4191682560 4230570240 4253024256 4272291840 4334813184 4402544640 4471128064 4512608256 4540989440 4557111296 4628316160 4696047616 4907335680 5001707520 5030019072 5108613120 5126750208 5158993920 5206855680 5283053568 5316280320 5418516480 5449187328 5553979392 5588910080 5640760320 5696389120 5779750912 5870059520 6016811008 6287523840 6379536384 6408437760 6502219776 6603816960 6668943360 6706692096 6768912384 6811484160 6835666944 6942474240 7044071424 7088373760 7224688640 7265583104 7405305856 7521013760 7738490880 7974420480 8127774720 8173780992 8330969088 8383365120 8461140480 8544583680 8669626368 8805089280 9025216512 9081978880 9114222592 9256632320 9392095232 10003415040 10060038144 10217226240 10253500416 10413711360 10566107136 10632560640 10837032960 10898374656 11107958784 11177820160 11281520640 11392778240 11740119040 12033622016 12575047680 12759072768 12816875520 13004439552 13207633920 13413384192 13537824768 13622968320 13671333888 13884948480 14088142848 14449377280 14531166208 14810611712 15042027520 15476981760 15948840960 16255549440 16347561984 16661938176 16766730240 16922280960 17089167360 17339252736 17610178560 18050433024 18163957760 18228445184 18513264640 18784190464 20006830080 20120076288 20434452480 20507000832 20827422720 21132214272 21265121280 21674065920 21796749312 22215917568 22355640320 22563041280 22785556480 23480238080 24067244032 25150095360 25633751040 26008879104 26415267840 27075649536 27245936640 27342667776 27769896960 28176285696 28898754560 29062332416 29621223424 30084055040 31897681920 32511098880 32695123968 33323876352 33533460480 33844561920 34178334720 35220357120 36100866048 36327915520 37026529280 37568380928 40240152576 40868904960 41014001664 41654845440 42264428544 43348131840 43593498624 44431835136 45126082560 45571112960 46960476160 48134488064 50300190720 51267502080 52017758208 52830535680 54151299072 54491873280 54685335552 55539793920 56352571392 58124664832 59242446848 60168110080 63795363840 65022197760 65390247936 66647752704 67066920960 67689123840 68356669440 70440714240 72201732096 72655831040 74053058560 75136761856 81737809920 82028003328 83309690880 84528857088 86696263680 87186997248 88863670272 90252165120 91142225920 93920952320 96268976128 100600381440 102535004160 105661071360 108302598144 108983746560 111079587840 112705142784 118484893696 120336220160 130044395520 130780495872 133295505408 135378247680 136713338880 140881428480 144403464192 145311662080 148106117120 163475619840 164056006656 166619381760 169057714176 174373994496 177727340544 180504330240 187841904640 192537952256 201200762880 205070008320 211322142720 216605196288 217967493120 222159175680 225410285568 236969787392 240672440320 260088791040 261560991744 266591010816 270756495360 273426677760 281762856960 288806928384 290623324160 296212234240 326951239680 333238763520 338115428352 355454681088 361008660480 375683809280 385075904512 410140016640 422644285440 433210392576 435934986240 444318351360 481344880640 523121983488 533182021632 541512990720 563525713920 577613856768 592424468480 653902479360 666477527040 676230856704 710909362176 722017320960 770151809024 820280033280 845288570880 866420785152 871869972480 888636702720 962689761280 1066364043264 1083025981440 1127051427840 1155227713536 1184848936960 1307804958720 1332955054080 1444034641920 1540303618048 1690577141760 1732841570304 1777273405440 1925379522560 2132728086528 2166051962880 2310455427072 2615609917440 2665910108160 2888069283840 3080607236096 3381154283520 3465683140608 3554546810880 3850759045120 4332103925760 4620910854144 5331820216320 5776138567680 6931366281216 7701518090240 8664207851520 9241821708288 10663640432640 11552277135360 13862732562432 15403036180480 17328415703040 23104554270720 27725465124864 34656831406080 46209108541440 69313662812160 138627325624320
- Sum of all divisors σ(n): 543136028951880
- Sum of proper divisors (its aliquot sum) s(n): 404508703327560
- 138627325624320 is an abundant number, because the sum of its proper divisors (404508703327560) is greater than itself. Its abundance is 265881377703240
Bases of 138627325624320
- Binary: 111111000010100101100001000000000000000000000002
- Hexadecimal: 0x7E14B0800000
- Base-36: 1D50IIFB40
Squares and roots of 138627325624320
- 138627325624320 squared (1386273256243202) is 19217535409751248477775462400
- 138627325624320 cubed (1386273256243203) is 2664075538944486198900233752794856685568000
-
The
square root of 138627325624320 is 11774010.6006543073 -
The
cube root of 138627325624320 is 51754.6784881565
Scales and comparisons
How big is 138627325624320?- 138,627,325,624,320 seconds is equal to 4,407,920 years, 7 weeks, 6 days, 11 hours, 12 minutes.
-
To count from 1 to 138,627,325,624,320 would take you about eleven million, nineteen thousand, eight hundred 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 138627325624320 cubic inches would be around 4312.9 feet tall.
Recreational maths with 138627325624320
- 138627325624320 backwards is 023426523726831
- The number of decimal digits it has is: 15
- The sum of 138627325624320's digits is 54
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138627325624320 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
APA style:
Numbermatics. (2024). Number 138627325624320 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/138627325624320/
Chicago style:
Numbermatics. 2024. "Number 138627325624320 - Facts about the integer". https://numbermatics.com/n/138627325624320/
The information we have on file for 138627325624320 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 138627325624320, math, Factors of 138627325624320, curriculum, school, college, exams, university, Prime factorization of 138627325624320, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, six hundred twenty-seven billion, three hundred twenty-five million, six hundred twenty-four thousand, three hundred twenty.