138858541246464
138,858,541,246,464 is an even composite number composed of five prime numbers multiplied together.
What does the number 138858541246464 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 864 divisors.
138858541246464 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138858541246464:
211 × 3 × 132 × 313 × 672
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 13 × 31 × 31 × 31 × 67 × 67)See below for interesting mathematical facts about the number 138858541246464 from the Numbermatics database.
Names of 138858541246464
- Cardinal: 138858541246464 can be written as One hundred thirty-eight trillion, eight hundred fifty-eight billion, five hundred forty-one million, two hundred forty-six thousand, four hundred sixty-four.
Scientific notation
- Scientific notation: 1.38858541246464 × 1014
Factors of 138858541246464
Divisors of 138858541246464
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 67 78 93 96 104 124 128 134 156 169 186 192 201 208 248 256 268 312 338 372 384 402 403 416 496 507 512 536 624 676 744 768 804 806 832 871 961 992 1014 1024 1072 1209 1248 1352 1488 1536 1608 1612 1664 1742 1922 1984 2028 2048 2077 2144 2418 2496 2613 2704 2883 2976 3072 3216 3224 3328 3484 3844 3968 4056 4154 4288 4489 4836 4992 5226 5239 5408 5766 5952 6144 6231 6432 6448 6656 6968 7688 7936 8112 8308 8576 8978 9672 9984 10452 10478 10816 11323 11532 11904 12462 12493 12864 12896 13312 13467 13936 15376 15717 15872 16224 16616 17152 17956 19344 19968 20904 20956 21632 22646 23064 23808 24924 24986 25728 25792 26624 26934 27001 27872 29791 30752 31434 31744 32448 33232 33969 34304 35912 37479 38688 39936 41808 41912 43264 45292 46128 47616 49848 49972 51456 51584 53868 54002 55744 58357 59582 61504 62868 63488 64387 64896 66464 67938 68608 71824 74958 77376 79872 81003 83616 83824 86528 89373 90584 92256 95232 99696 99944 102912 103168 107736 108004 111488 116714 119164 123008 125736 128774 129792 132928 135876 137216 139159 143648 149916 154752 162006 162409 167232 167648 173056 175071 178746 181168 184512 190464 193161 199392 199888 205824 206336 215472 216008 222976 233428 238328 246016 251472 257548 259584 265856 271752 278318 287296 299832 309504 324012 324818 334464 335296 346112 350142 351013 357492 362336 369024 386322 387283 398784 399776 411648 412672 417477 430944 432016 445952 466856 476656 487227 492032 502944 515096 519168 531712 543504 556636 574592 599664 619008 648024 649636 668928 670592 700284 702026 714984 724672 738048 758641 772644 774566 797568 799552 825344 834954 837031 861888 864032 891904 933712 953312 974454 984064 1005888 1030192 1038336 1053039 1063424 1087008 1113272 1149184 1161849 1199328 1238016 1296048 1299272 1337856 1341184 1400568 1404052 1429968 1449344 1476096 1517282 1545288 1549132 1595136 1599104 1669908 1674062 1723776 1728064 1783808 1809067 1867424 1906624 1948908 1968128 1995997 2011776 2060384 2106078 2126848 2174016 2226544 2275923 2298368 2323698 2398656 2476032 2511093 2592096 2598544 2675712 2682368 2801136 2808104 2859936 2898688 2952192 3034564 3090576 3098264 3190272 3198208 3339816 3348124 3447552 3456128 3618134 3734848 3813248 3897816 3991994 4023552 4120768 4212156 4253696 4313929 4348032 4453088 4551846 4596736 4647396 4797312 5022186 5034679 5184192 5197088 5351424 5364736 5427201 5602272 5616208 5719872 5797376 5904384 5987991 6069128 6181152 6196528 6380544 6396416 6679632 6696248 6895104 6912256 7236268 7469696 7626496 7795632 7983988 8047104 8241536 8424312 8627858 8696064 8906176 9103692 9193472 9294792 9594624 10044372 10069358 10368384 10394176 10729472 10854402 10881403 11204544 11232416 11439744 11594752 11975982 12138256 12362304 12393056 12761088 12792832 12941787 13359264 13392496 13790208 13824512 14472536 14939392 15104037 15252992 15591264 15967976 16094208 16483072 16848624 17255716 17392128 17812352 18207384 18589584 19189248 20088744 20138716 20736768 20788352 21708804 21762806 22409088 22464832 22879488 23189504 23517871 23951964 24276512 24724608 24786112 25585664 25883574 25947961 26718528 26784992 27580416 27649024 28945072 29878784 30208074 30505984 31182528 31935952 32188416 32644209 32966144 33697248 34511432 34784256 35624704 36414768 37179168 38378496 40177488 40277432 41473536 41576704 43417608 43525612 44818176 44929664 45758976 47035742 47903928 48553024 49449216 49572224 51767148 51895922 53437056 53569984 55298048 56081077 57890144 59757568 60416148 61011968 62365056 63871904 65288418 65932288 67394496 69022864 69568512 70553613 71249408 72829536 74358336 76756992 77843883 80354976 80554864 82947072 83153408 86835216 87051224 89636352 89859328 91517952 94071484 95807856 97106048 98898432 99144448 103534296 103791844 106874112 107139968 112162154 115780288 119515136 120832296 124730112 127743808 130576836 131864576 133731799 134788992 138045728 141107226 142498816 145659072 148716672 155687766 160709952 161109728 165894144 166306816 168243231 173670432 174102448 179272704 179718656 183035904 188142968 191615712 194212096 197796864 198288896 207068592 207583688 213748224 214279936 224324308 231560576 241664592 249460224 255487616 261153672 267463598 269577984 276091456 282214452 284997632 291318144 297433344 311375532 321419904 322219456 332613632 336486462 337323493 347340864 348204896 358545408 359437312 376285936 383231424 388424192 395593728 396577792 401195397 414137184 415167376 427496448 428559872 448648616 463121152 483329184 498920448 510975232 522307344 534927196 539155968 552182912 564428904 582636288 594866688 622751064 642839808 644438912 672972924 674646986 694681728 696409792 718874624 729054001 752571872 766462848 776848384 793155584 802390794 828274368 830334752 854992896 857119744 897297232 926242304 966658368 997840896 1011970479 1021950464 1044614688 1069854392 1078311936 1104365824 1128857808 1165272576 1189733376 1245502128 1285679616 1288877824 1345945848 1349293972 1389363456 1392819584 1458108002 1505143744 1532925696 1553696768 1604781588 1656548736 1660669504 1714239488 1738513387 1794594464 1852484608 1933316736 2023940958 2043900928 2089229376 2139708784 2156623872 2187162003 2208731648 2257715616 2330545152 2379466752 2491004256 2571359232 2577755648 2691891696 2698587944 2778726912 2785639168 2916216004 3010287488 3065851392 3209563176 3313097472 3321339008 3477026774 3589188928 3704969216 3866633472 4047881916 4087801856 4178458752 4279417568 4374324006 4417463296 4515431232 4661090304 4982008512 5142718464 5155511296 5215540161 5383783392 5397175888 5557453824 5571278336 5832432008 6020574976 6131702784 6419126352 6626194944 6642678016 6954053548 7178377856 7733266944 8095763832 8356917504 8558835136 8748648012 8834926592 9030862464 9964017024 10311022592 10431080322 10767566784 10794351776 11114907648 11142556672 11664864016 12041149952 12263405568 12838252704 13252389888 13285356032 13908107096 14356755712 15466533888 16191527664 16713835008 17117670272 17497296024 18061724928 19928034048 20862160644 21535133568 21588703552 22285113344 22600674031 23329728032 24082299904 25676505408 26504779776 26570712064 27816214192 28713511424 30933067776 32383055328 33427670016 34235340544 34994592048 36123449856 39856068096 41724321288 43070267136 43177407104 45201348062 46659456064 48164599808 51353010816 53141424128 55632428384 57427022848 64766110656 66855340032 67802022093 68470681088 69989184096 72246899712 79712136192 83448642576 86140534272 86354814208 90402696124 93318912128 102706021632 111264856768 114854045696 129532221312 135604044186 136941362176 139978368192 144493799424 159424272384 166897285152 172281068544 172709628416 180805392248 186637824256 205412043264 222529713536 259064442624 271208088372 273882724352 279956736384 333794570304 344562137088 345419256832 361610784496 373275648512 410824086528 445059427072 518128885248 542416176744 559913472768 667589140608 690838513664 723221568992 746551297024 821648173056 890118854144 1036257770496 1084832353488 1119826945536 1335178281216 1446443137984 1493102594048 1780237708288 2072515540992 2169664706976 2239653891072 2670356562432 2892886275968 3560475416576 4339329413952 4479307782144 5340713124864 5785772551936 8678658827904 10681426249728 11571545103872 17357317655808 23143090207744 34714635311616 46286180415488 69429270623232 138858541246464
- Sum of all divisors σ(n): 420502968587520
- Sum of proper divisors (its aliquot sum) s(n): 281644427341056
- 138858541246464 is an abundant number, because the sum of its proper divisors (281644427341056) is greater than itself. Its abundance is 142785886094592
Bases of 138858541246464
- Binary: 111111001001010100001100000011001101000000000002
- Hexadecimal: 0x7E4A86066800
- Base-36: 1D7YQE8IYO
Squares and roots of 138858541246464
- 138858541246464 squared (1388585412464642) is 19281694477095943958792503296
- 138858541246464 cubed (1388585412464643) is 2677427967849544242738665861280086668345344
-
The
square root of 138858541246464 is 11783825.4080100831 -
The
cube root of 138858541246464 is 51783.4362705671
Scales and comparisons
How big is 138858541246464?- 138,858,541,246,464 seconds is equal to 4,415,272 years, 4 weeks, 6 days, 4 hours, 54 minutes, 24 seconds.
-
To count from 1 to 138,858,541,246,464 would take you about eleven million, thirty-eight thousand, one hundred eighty 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 138858541246464 cubic inches would be around 4315.3 feet tall.
Recreational maths with 138858541246464
- 138858541246464 backwards is 464642145858831
- The number of decimal digits it has is: 15
- The sum of 138858541246464's digits is 69
- More coming soon!
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The information we have on file for 138858541246464 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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