138608088546304
138,608,088,546,304 is an even composite number composed of five prime numbers multiplied together.
What does the number 138608088546304 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 990 divisors.
138608088546304 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred ninety divisors.
Prime factorization of 138608088546304:
210 × 134 × 172 × 232 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 13 × 13 × 13 × 17 × 17 × 23 × 23 × 31)See below for interesting mathematical facts about the number 138608088546304 from the Numbermatics database.
Names of 138608088546304
- Cardinal: 138608088546304 can be written as One hundred thirty-eight trillion, six hundred eight billion, eighty-eight million, five hundred forty-six thousand, three hundred four.
Scientific notation
- Scientific notation: 1.38608088546304 × 1014
Factors of 138608088546304
Divisors of 138608088546304
- Number of divisors d(n): 990
-
Complete list of divisors:
1 2 4 8 13 16 17 23 26 31 32 34 46 52 62 64 68 92 104 124 128 136 169 184 208 221 248 256 272 289 299 338 368 391 403 416 442 496 512 527 529 544 578 598 676 713 736 782 806 832 884 992 1024 1054 1058 1088 1156 1196 1352 1426 1472 1564 1612 1664 1768 1984 2108 2116 2176 2197 2312 2392 2704 2852 2873 2944 3128 3224 3328 3536 3757 3887 3968 4216 4232 4352 4394 4624 4784 5083 5239 5408 5704 5746 5888 6256 6448 6647 6656 6851 6877 7072 7514 7774 7936 8432 8464 8704 8788 8959 8993 9248 9269 9568 10166 10478 10816 11408 11492 11776 12121 12512 12896 13294 13312 13702 13754 14144 15028 15548 15872 16399 16864 16928 17408 17576 17918 17986 18496 18538 19136 20332 20956 21632 22816 22984 23552 24242 25024 25792 26588 27404 27508 28288 28561 30056 31096 31744 32798 33728 33856 35152 35836 35972 36992 37076 37349 38272 40664 41912 43264 45632 45968 48484 48841 50048 50531 51584 53176 54808 55016 56576 57122 60112 62192 65596 66079 67456 67712 68107 70304 71672 71944 73984 74152 74698 76544 81328 83824 86411 86528 89063 89401 91264 91936 96968 97682 100096 101062 103168 106352 109616 110032 113152 114244 116467 116909 120224 120497 124384 131192 132158 134912 135424 136214 140608 143344 143888 147968 148304 149396 152881 153088 157573 162656 167648 172822 173056 178126 178802 182528 183872 193936 195364 200192 202124 206057 206336 212704 213187 219232 220064 226304 228488 232934 233818 240448 240994 248768 262384 264316 269824 270848 272428 278783 281216 286688 287776 295936 296608 298792 305762 306176 315146 325312 335296 345644 356252 357604 365056 367744 387872 390728 400384 404248 412114 412672 425408 426374 438464 440128 456976 465868 467636 480896 481988 485537 497536 524768 528632 539648 541696 544856 557566 562432 573376 575552 593216 597584 611524 630292 634933 650624 656903 670592 691288 712504 715208 730112 735488 775744 781456 808496 824228 850816 852748 859027 876928 880256 885391 913952 931736 935272 961792 963976 971074 995072 1049536 1057264 1089712 1115132 1123343 1124864 1146752 1151104 1157819 1162213 1186432 1195168 1223048 1260584 1269866 1301248 1313806 1341184 1382576 1425008 1430416 1470976 1514071 1519817 1551488 1562912 1566461 1616992 1648456 1701632 1705496 1718054 1753856 1760512 1770782 1827904 1863472 1870544 1923584 1927952 1942148 1987453 1990144 2048449 2099072 2114528 2179424 2230264 2246686 2249728 2293504 2302208 2315638 2324426 2372864 2390336 2446096 2521168 2539732 2602496 2627612 2678741 2682368 2765152 2771431 2850016 2860832 2941952 3028142 3039634 3102976 3125824 3132922 3233984 3296912 3403264 3410992 3436108 3507712 3521024 3541564 3624179 3655808 3726944 3741088 3847168 3855904 3884296 3974906 3980288 4096898 4198144 4229056 4358848 4460528 4493372 4587008 4604416 4631276 4648852 4739311 4745728 4780672 4892192 5042336 5079464 5204992 5255224 5357482 5364736 5530304 5542862 5700032 5721664 6056284 6079268 6205952 6251648 6265844 6467968 6593824 6806528 6821984 6872216 7015424 7042048 7083128 7248358 7311616 7453888 7482176 7711808 7768592 7949812 8193796 8254129 8396288 8458112 8717696 8921056 8986744 9174016 9208832 9262552 9297704 9478622 9491456 9561344 9784384 10084672 10158928 10510448 10714964 11060608 11085724 11167351 11400064 11443328 12112568 12158536 12411904 12503296 12531688 12935936 13187648 13643968 13744432 14166256 14496716 14603459 14623232 14907776 14964352 15051647 15108769 15423616 15537184 15899624 16387592 16508258 16792576 16916224 17435392 17842112 17973488 18525104 18595408 18957244 19122688 19568768 19682923 19757621 20169344 20317856 20363993 21020896 21429928 22121216 22171448 22334702 22800128 22886656 24225136 24317072 25006592 25063376 25836889 25871872 26375296 26629837 27287936 27488864 28332512 28993432 29206918 29246464 29815552 29928704 30103294 30217538 30847232 31074368 31799248 32775184 33016516 33832448 34823633 34870784 35684224 35946976 36028603 37050208 37190816 37914488 38245376 39137536 39365846 39515242 40338688 40635712 40727986 42041792 42859856 44242432 44342896 44669404 45600256 45773312 47114327 48450272 48634144 50013184 50126752 51673778 51743744 52750592 53259674 54575872 54977728 56665024 57986864 58413836 59631104 59857408 60206588 60435076 61611043 61694464 62148736 63598496 65550368 66033032 67664896 69647266 69741568 71368448 71893952 72057206 74100416 74381632 75828976 78275072 78731692 79030484 80677376 81271424 81455972 84083584 85719712 88484864 88685792 89338808 91200512 91546624 94228654 96900544 97268288 100253504 103347556 105501184 106519348 109151744 109955456 113330048 115973728 116827672 119262208 119714816 120413176 120870152 123222086 123388928 124297472 127196992 131100736 132066064 139294532 142736896 143787904 144114412 148200832 148763264 151657952 156550144 157463384 158060968 161354752 162542848 162911944 168167168 171439424 177371584 178677616 188457308 189844967 193801088 194536576 200507008 206695112 211002368 213038696 218303488 219910912 226660096 231947456 233655344 240826352 241740304 246444172 248594944 254393984 255877999 256849073 262201472 264132128 278589064 285473792 287575808 288228824 296401664 297526528 303315904 314926768 316121936 325085696 325823888 335879557 336334336 342878848 346187881 354743168 357355232 376914616 379689934 387602176 389073152 401014016 413390224 426077392 439821824 452707229 453320192 463894912 467310688 468371839 481652704 483480608 492888344 497189888 508787968 511755998 513698146 524402944 528264256 557178128 575151616 576457648 592803328 595053056 606631808 612486251 629853536 632243872 650171392 651647776 671759114 672668672 685757696 692375762 709486336 714710464 753829232 759379868 775204352 778146304 800943559 802028032 826780448 852154784 879643648 905414458 906640384 927789824 934621376 936743678 963305408 966961216 985776688 1017575936 1023511996 1027396292 1048805888 1056528512 1114356256 1150303232 1152915296 1185606656 1190106112 1213263616 1224972502 1259707072 1264487744 1303295552 1343518228 1371515392 1384751524 1418972672 1429420928 1507658464 1518759736 1550408704 1556292608 1601887118 1604056064 1653560896 1704309568 1810828916 1855579648 1869242752 1873487356 1926610816 1933922432 1971553376 2035151872 2047023992 2054792584 2097611776 2113057024 2228712512 2305830592 2426527232 2449945004 2519414144 2528975488 2606591104 2687036456 2743030784 2769503048 2837945344 2858841856 3015316928 3037519472 3203774236 3307121792 3408619136 3621657832 3711159296 3738485504 3746974712 3853221632 3867844864 3943106752 4094047984 4109585168 4226114048 4366434241 4457425024 4611661184 4853054464 4899890008 5038828288 5057950976 5213182208 5374072912 5539006096 5717683712 5885193977 6030633856 6075038944 6407548472 6614243584 6817238272 7243315664 7476971008 7493949424 7706443264 7735689728 7886213504 7962321263 8188095968 8219170336 8452228096 8732868482 8914850048 9223322368 9799780016 10077656576 10115901952 10412266267 10426364416 10748145824 11078012192 11435367424 11770387954 12061267712 12150077888 12815096944 13228487168 13634476544 14486631328 14953942016 14987898848 15412886528 15471379456 15772427008 15924642526 16376191936 16438340672 17465736964 17829700096 18446644736 19599560032 20155313152 20231803904 20824532534 20852728832 21496291648 22156024384 23540775908 24122535424 24300155776 25630193888 26456974336 27268953088 28973262656 29975797696 31544854016 31849285052 32752383872 32876681344 34931473928 35659400192 36893289472 39199120064 41649065068 42992583296 44312048768 47081551816 48245070848 48600311552 51260387776 57946525312 59951595392 63089708032 63698570104 65504767744 65753362688 69862947856 78398240128 83298130136 85985166592 88624097536 94163103632 97200623104 102520775552 115893050624 119903190784 127397140208 131009535488 131506725376 135359461471 139725895712 156796480256 166596260272 171970333184 177248195072 188326207264 194401246208 205041551104 231786101248 239806381568 254794280416 262019070976 263013450752 270718922942 279451791424 313592960512 333192520544 343940666368 354496390144 376652414528 410083102208 463572202496 479612763136 509588560832 541437845884 558903582848 627185921024 666385041088 753304829056 820166204416 1019177121664 1082875691768 1117807165696 1332770082176 1506609658112 2038354243328 2165751383536 2235614331392 2665540164352 3013219316224 4076708486656 4331502767072 4471228662784 5331080328704 6026438632448 8153416973312 8663005534144 10662160657408 17326011068288 34652022136576 69304044273152 138608088546304
- Sum of all divisors σ(n): 344084947008544
- Sum of proper divisors (its aliquot sum) s(n): 205476858462240
- 138608088546304 is an abundant number, because the sum of its proper divisors (205476858462240) is greater than itself. Its abundance is 66868769915936
Bases of 138608088546304
- Binary: 111111000010000001101011110000101111100000000002
- Hexadecimal: 0x7E1035E17C00
- Base-36: 1D4ROD5YPS
Squares and roots of 138608088546304
- 138608088546304 squared (1386080885463042) is 19212202210460050111952060416
- 138608088546304 cubed (1386080885463043) is 2662966625156944062785028258282103021502464
-
The
square root of 138608088546304 is 11773193.6426062405 -
The
cube root of 138608088546304 is 51752.2844078653
Scales and comparisons
How big is 138608088546304?- 138,608,088,546,304 seconds is equal to 4,407,308 years, 24 weeks, 4 days, 2 hours, 25 minutes, 4 seconds.
-
To count from 1 to 138,608,088,546,304 would take you about eleven million, eighteen thousand, two hundred seventy-one 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 138608088546304 cubic inches would be around 4312.7 feet tall.
Recreational maths with 138608088546304
- 138608088546304 backwards is 403645880806831
- 138608088546304 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138608088546304's digits is 64
- More coming soon!
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The information we have on file for 138608088546304 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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