138025821924456816
138,025,821,924,456,816 is an even composite number composed of six prime numbers multiplied together.
What does the number 138025821924456816 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 720 divisors.
138025821924456816 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 138025821924456816:
24 × 3 × 72 × 192 × 241 × 8773
(2 × 2 × 2 × 2 × 3 × 7 × 7 × 19 × 19 × 241 × 877 × 877 × 877)See below for interesting mathematical facts about the number 138025821924456816 from the Numbermatics database.
Names of 138025821924456816
- Cardinal: 138025821924456816 can be written as One hundred thirty-eight quadrillion, twenty-five trillion, eight hundred twenty-one billion, nine hundred twenty-four million, four hundred fifty-six thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.38025821924456816 × 1017
Factors of 138025821924456816
Divisors of 138025821924456816
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 49 56 57 76 84 98 112 114 133 147 152 168 196 228 241 266 294 304 336 361 392 399 456 482 532 588 722 723 784 798 877 912 931 964 1064 1083 1176 1444 1446 1596 1687 1754 1862 1928 2128 2166 2352 2527 2631 2793 2888 2892 3192 3374 3508 3724 3856 4332 4579 5054 5061 5262 5586 5776 5784 6139 6384 6748 7016 7448 7581 8664 9158 10108 10122 10524 11172 11568 11809 12278 13496 13737 14032 14896 15162 16663 17328 17689 18316 18417 20216 20244 21048 22344 23618 24556 26992 27474 30324 32053 33326 35378 35427 36632 36834 40432 40488 42096 42973 44688 47236 49112 49989 53067 54948 60648 64106 66652 70756 70854 73264 73668 80976 85946 87001 94472 96159 98224 99978 106134 109896 116641 121296 128212 128919 133304 141512 141708 147336 171892 174002 188944 192318 199956 211357 212268 219792 224371 233282 256424 257838 261003 266608 283024 283416 294672 316597 343784 348004 349923 384636 399912 422714 424536 448742 466564 512848 515676 522006 566832 609007 633194 634071 673113 687568 696008 699846 769129 769272 799824 816487 845428 849072 897484 933128 949791 1031352 1044012 1218014 1266388 1268142 1346226 1392016 1399692 1479499 1538258 1538544 1632974 1690856 1794968 1827021 1866256 1899582 2062704 2088024 2216179 2307387 2436028 2449461 2532776 2536284 2692452 2799384 2958998 3076516 3265948 3381712 3589936 3654042 3799164 4015783 4176048 4263049 4432358 4438497 4614774 4872056 4898922 5065552 5072568 5383903 5384904 5598768 5917996 6153032 6531896 6648537 7308084 7598328 8031566 8526098 8864716 8876994 9229548 9744112 9797844 10145136 10356493 10767806 10769808 11835992 12047349 12306064 12789147 13063792 13297074 14613451 14616168 15196656 15513253 16063132 16151709 17052196 17729432 17753988 18459096 19595688 20712986 21535612 23671984 24094698 25578294 26594148 28110481 29226902 29232336 31026506 31069479 32126264 32303418 34104392 35458864 35507976 36918192 37687321 39191376 41425972 43071224 43840353 46539759 48189396 51156588 53188296 56220962 58453804 62053012 62138958 64252528 64606836 68208784 71015952 75374642 76299877 82851944 84331443 86142448 87680706 93079518 96378792 102294157 102313176 106376592 112441924 113061963 116907608 124106024 124277916 129213672 150749284 152599754 165703888 168662886 175361412 185360089 186159036 192757584 196773367 204588314 204626352 224883848 226123926 228899631 233815216 248212048 248555832 258427344 277655569 301498568 305199508 306882471 337325772 350722824 370720178 372318072 393546734 409176628 449767696 452247852 457799262 497111664 534099139 555311138 556080267 590320101 602997136 610399016 613764942 674526133 674651544 701445648 716059099 741440356 744636144 787093468 818353256 832966707 904495704 915598524 1068198278 1110622276 1112160534 1180640202 1220798032 1227529884 1297520623 1349052266 1349303088 1432118198 1482880712 1574186936 1602297417 1636706512 1665933414 1808991408 1831197048 1943588983 2023578399 2136396556 2148177297 2221244552 2224321068 2361280404 2455059768 2595041246 2698104532 2864236396 2965761424 3148373872 3204594834 3331866828 3521841691 3662394096 3738693973 3887177966 3892561869 4047156798 4272793112 4296354594 4442489104 4448642136 4721682931 4722560808 4910119536 5190082492 5396209064 5728472792 5830766949 6409189668 6663733656 7043683382 7477387946 7774355932 7785123738 8094313596 8545586224 8592709188 8897284272 9082644361 9443365862 9445121616 10380164984 10565525073 10792418128 11216081919 11456945584 11661533898 12815996527 12818379336 13327467312 13605122881 14087366764 14165048793 14954775892 15548711864 15570247476 16188627192 17185418376 18165288722 18886731724 20760329968 21131050146 22432163838 23323067796 24652891837 25631993054 25636758672 27210245762 27247933083 28174733528 28330097586 29909551784 31097423728 31140494952 32377254384 33051780517 34370836752 36330577444 37773463448 38447989581 40815368643 42262100292 44864327676 46646135592 49305783674 51263986108 54420491524 54495866166 56349467056 56660195172 59819103568 62280989904 66103561034 66914992129 72661154888 73958675511 75546926896 76895979162 81630737286 84524200584 89711975689 89728655352 93292271184 98611567348 99155341551 102527972216 108840983048 108991732332 113320390344 132207122068 133829984258 145322309776 147917351022 153791958324 162560798053 163261474572 169048401168 172570242859 179423951378 179457310704 197223134696 198310683102 200744976387 205055944432 217681966096 217983464664 226640780688 243503934013 264414244136 267659968516 269135927067 295834702044 307583916648 325121596106 326522949144 345140485718 358847902756 394446269392 396621366204 401489952774 435966929328 468404944903 487007868026 487682394159 517710728577 528828488272 535319937032 538271854134 591669404088 615167833296 627983829823 650243192212 653045898288 690280971436 717695805512 730511802039 793242732408 802979905548 936809889806 974015736052 975364788318 1035421457154 1070639874064 1076543708268 1137925586371 1183338808176 1255967659646 1300486384424 1380561942872 1405214834709 1435391611024 1461023604078 1586485464816 1605959811096 1704527538091 1873619779612 1883951489469 1948031472104 1950729576636 2070842914308 2153087416536 2275851172742 2511935319292 2600972768848 2761123885744 2810429669418 2922047208156 3088655163007 3211919622192 3278834614321 3409055076182 3413776759113 3747239559224 3767902978938 3896062944208 3901459153272 4141685828616 4306174833072 4551702345484 5023870638584 5113582614273 5620859338836 5844094416312 6177310326014 6557669228642 6818110152364 6827553518226 7494479118448 7535805957876 7802918306544 7965479104597 8283371657232 9103404690968 9265965489021 9836503842963 10047741277168 10227165228546 11241718677672 11688188832624 11931692766637 12354620652028 13115338457284 13636220304728 13655107036452 15071611915752 15930958209194 18206809381936 18531930978042 19673007685926 20454330457092 21620586141049 22483437355344 23863385533274 23896437313791 24709241304056 26230676914568 27272440609456 27310214072904 30143223831504 31861916418388 35795078299911 37063861956084 39346015371852 40908660914184 43241172282098 47726771066548 47792874627582 49418482608112 52461353829136 54620428145808 58684448097133 63723832836776 64861758423147 71590156599822 74127723912168 78692030743704 81817321828368 86482344564196 95453542133096 95585749255164 117368896194266 127447665673552 129723516846294 143180313199644 148255447824336 151344102987343 157384061487408 172964689128392 176053344291399 190907084266192 191171498510328 234737792388532 259447033692588 286360626399288 302688205974686 345929378256784 352106688582798 382342997020656 410791136679931 454032308962029 469475584777064 518894067385176 572721252798576 605376411949372 704213377165596 821582273359862 908064617924058 938951169554128 1037788134770352 1210752823898744 1232373410039793 1408426754331192 1643164546719724 1816129235848116 2421505647797488 2464746820079586 2816853508662384 2875537956759517 3286329093439448 3632258471696232 4929493640159172 5751075913519034 6572658186878896 7264516943392464 8626613870278551 9858987280318344 11502151827038068 17253227740557102 19717974560636688 23004303654076136 34506455481114204 46008607308152272 69012910962228408 138025821924456816
- Sum of all divisors σ(n): 440079511421579040
- Sum of proper divisors (its aliquot sum) s(n): 302053689497122224
- 138025821924456816 is an abundant number, because the sum of its proper divisors (302053689497122224) is greater than itself. Its abundance is 164027867572665408
Bases of 138025821924456816
- Binary: 1111010100101110111000000111101011010001101111001011100002
- Hexadecimal: 0x1EA5DC0F5A37970
- Base-36: 11R22J8CPG1C
Squares and roots of 138025821924456816
- 138025821924456816 squared (1380258219244568162) is 19051127517921863869512276648857856
- 138025821924456816 cubed (1380258219244568163) is 2629547534248802160867698063632493030414059594346496
-
The
square root of 138025821924456816 is 371518265.9364904173 -
The
cube root of 138025821924456816 is 516797.1547838673
Scales and comparisons
How big is 138025821924456816?- 138,025,821,924,456,816 seconds is equal to 4,388,794,195 years, 15 weeks, 3 days, 14 hours, 53 minutes, 36 seconds.
-
To count from 1 to 138,025,821,924,456,816 would take you about thirteen billion, one hundred sixty-six million, three hundred eighty-two thousand, five hundred eighty-five 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 138025821924456816 cubic inches would be around 43066.4 feet tall.
Recreational maths with 138025821924456816
- 138025821924456816 backwards is 618654429128520831
- The number of decimal digits it has is: 18
- The sum of 138025821924456816's digits is 75
- More coming soon!
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The information we have on file for 138025821924456816 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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