138538528639218048
138,538,528,639,218,048 is an even composite number composed of five prime numbers multiplied together.
138538528639218048 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138538528639218048:
27 × 3 × 112 × 373 × 3893
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 11 × 37 × 37 × 37 × 389 × 389 × 389)See below for interesting mathematical facts about the number 138538528639218048 from the Numbermatics database.
Names of 138538528639218048
- Cardinal: 138538528639218048 can be written as One hundred thirty-eight quadrillion, five hundred thirty-eight trillion, five hundred twenty-eight billion, six hundred thirty-nine million, two hundred eighteen thousand and forty-eight.
Scientific notation
- Scientific notation: 1.38538528639218048 × 1017
Factors of 138538528639218048
Divisors of 138538528639218048
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 121 128 132 148 176 192 222 242 264 296 352 363 384 389 407 444 484 528 592 704 726 778 814 888 968 1056 1167 1184 1221 1369 1408 1452 1556 1628 1776 1936 2112 2334 2368 2442 2738 2904 3112 3256 3552 3872 4107 4224 4279 4477 4668 4736 4884 5476 5808 6224 6512 7104 7744 8214 8558 8954 9336 9768 10952 11616 12448 12837 13024 13431 14208 14393 15059 15488 16428 17116 17908 18672 19536 21904 23232 24896 25674 26048 26862 28786 30118 32856 34232 35816 37344 39072 43179 43808 45177 46464 47069 49792 50653 51348 52096 53724 57572 60236 65712 68464 71632 74688 78144 86358 87616 90354 94138 101306 102696 107448 115144 120472 131424 136928 141207 143264 149376 151321 151959 156288 158323 165649 172716 175232 180708 188276 202612 205392 214896 230288 240944 262848 273856 282414 286528 302642 303918 316646 331298 345432 361416 376552 405224 410784 429792 453963 460576 474969 481888 496947 525696 532541 547712 557183 564828 573056 605284 607836 633292 662596 690864 722832 753104 810448 821568 859584 907926 921152 949938 963776 993894 1065082 1114366 1129656 1210568 1215672 1266584 1325192 1381728 1445664 1506208 1597623 1620896 1643136 1664531 1671549 1719168 1741553 1815852 1842304 1899876 1927552 1987788 2130164 2228732 2259312 2421136 2431344 2533168 2650384 2763456 2891328 3012416 3195246 3241792 3329062 3343098 3483106 3631704 3799752 3975576 4260328 4457464 4518624 4842272 4862688 4993593 5066336 5224659 5300768 5526912 5598877 5782656 5857951 6024832 6129013 6390492 6483584 6658124 6686196 6966212 7263408 7599504 7951152 8520656 8914928 9037248 9684544 9725376 9987186 10132672 10449318 10601536 11197754 11715902 12258026 12780984 13316248 13372392 13932424 14526816 15199008 15902304 16796631 17041312 17573853 17829856 18074496 18309841 18387039 19369088 19450752 19704017 19974372 20265344 20898636 21203072 22395508 23431804 24516052 25561968 26632496 26744784 27864848 29053632 30398016 31804608 33593262 34082624 35147706 35659712 36619682 36774078 39408034 39948744 41797272 44791016 46863608 49032104 51123936 53264992 53489568 54929523 55729696 58107264 58863869 59112051 60796032 61587647 63609216 64437461 67186524 68165248 70295412 71319424 73239364 73548156 78816068 79897488 83594544 89582032 93727216 98064208 102247872 106529984 106979136 109859046 111459392 117727738 118224102 123175294 128874922 134373048 140590824 146478728 147096312 157632136 159794976 167189088 176591607 179164064 184762941 187454432 193312383 196128416 204495744 207158449 213059968 213958272 216744187 219718092 222918784 235455476 236448204 246350588 257749844 268746096 281181648 292957456 294192624 315264272 319589952 334378176 353183214 358328128 369525882 374908864 386624766 392256832 414316898 433488374 439436184 470910952 472896408 492701176 515499688 537492192 562363296 585914912 588385248 621475347 630528544 639179904 647502559 650232561 668756352 677464117 706366428 716656256 739051764 749817728 773249532 784513664 828633796 866976748 878872368 941821904 945792816 985402352 1030999376 1074984384 1124726592 1171829824 1176770496 1242950694 1261057088 1295005118 1300465122 1354928234 1412732856 1478103528 1546499064 1657267592 1733953496 1757744736 1883643808 1891585632 1942507677 1970804704 2032392351 2061998752 2149968768 2177963153 2249453184 2278742939 2343659648 2353540992 2384186057 2485901388 2522114176 2590010236 2600930244 2709856468 2825465712 2956207056 3092998128 3314535184 3467906992 3515489472 3767287616 3783171264 3885015354 3941609408 4064784702 4123997504 4355926306 4557485878 4768372114 4971802776 5180020472 5201860488 5419712936 5650931424 5912414112 6185996256 6533889459 6629070368 6836228817 6935813984 7030978944 7122528149 7152558171 7534575232 7566342528 7664862613 7770030708 7883218816 8129569404 8247995008 8711852612 9114971756 9536744228 9943605552 10360040944 10403720976 10839425872 11301862848 11824828224 12371992512 13067778918 13258140736 13672457634 13871627968 14245056298 14305116342 15329725226 15540061416 16259138808 17423705224 18229943512 19073488456 19887211104 20720081888 20807441952 21367584447 21678851744 22603725696 22994587839 23649656448 23957594683 24743985024 25066172329 26135557836 26516281472 27344915268 27743255936 28490112596 28610232684 30659450452 31080122832 32518277616 34847410448 36459887024 38146976912 39774422208 41440163776 41614883904 42735168894 43357703488 45989175678 47915189366 50132344658 52271115672 54689830536 56980225192 57220465368 61318900904 62160245664 65036555232 69694820896 71872784049 72919774048 75198516987 76293953824 79548844416 80584636661 82880327552 83229767808 84313488743 85470337788 86715406976 91978351356 95830378732 100264689316 104542231344 109379661072 113960450384 114440930736 122637801808 124320491328 130073110464 139389641792 143745568098 145839548096 150397033974 152587907648 161169273322 168626977486 170940675576 183956702712 191660757464 200529378632 209084462688 218759322144 227920900768 228881861472 241753909983 245275603616 248640982656 252940466229 260146220928 263533541513 278779283584 287491136196 291679096192 300794067948 305175815296 322338546644 337253954972 341881351152 367913405424 383321514928 401058757264 418168925376 437518644288 455841801536 457763722944 483507819966 490551207232 505880932458 527067083026 574982272392 601588135896 644677093288 674507909944 683762702304 735826810848 766643029856 790600624539 802117514528 836337850752 875037288576 886431003271 911683603072 915527445888 927448376173 967015639932 981102414464 1011761864916 1054134166052 1149964544784 1203176271792 1289354186576 1349015819888 1367525404608 1471653621696 1533286059712 1581201249078 1604235029056 1772862006542 1854896752346 1934031279864 2023523729832 2108268332104 2299929089568 2406352543584 2578708373152 2659293009813 2698031639776 2735050809216 2782345128519 2943307243392 2981631556457 3066572119424 3162402498156 3208470058112 3545724013084 3709793504692 3868062559728 4047047459664 4216536664208 4599858179136 4812705087168 5157416746304 5318586019626 5396063279552 5564690257038 5963263112914 6324804996312 7091448026168 7419587009384 7736125119456 8094094919328 8433073328416 8944894669371 9199716358272 9625410174336 9750741035981 10314833492608 10637172039252 10792126559104 11129380514076 11926526225828 12649609992624 14182896052336 14839174018768 15472250238912 16188189838656 16866146656832 17889789338742 19501482071962 21274344078504 22258761028152 23853052451656 25299219985248 28365792104672 29252223107943 29678348037536 30944500477824 32376379677312 32797947121027 33732293313664 35779578677484 39002964143924 42548688157008 44517522056304 47706104903312 50598439970496 56731584209344 58504446215886 59356696075072 65595894242054 71559157354968 78005928287848 85097376314016 89035044112608 95412209806624 98393841363081 101196879940992 113463168418688 117008892431772 118713392150144 131191788484108 143118314709936 156011856575696 170194752628032 178070088225216 190824419613248 196787682726162 234017784863544 262383576968216 286236629419872 312023713151392 340389505256064 356140176450432 360777418331297 381648839226496 393575365452324 468035569727088 524767153936432 572473258839744 624047426302784 721554836662594 787150730904648 936071139454176 1049534307872864 1082332254993891 1144946517679488 1248094852605568 1443109673325188 1574301461809296 1872142278908352 2099068615745728 2164664509987782 2886219346650376 3148602923618592 3744284557816704 4198137231491456 4329329019975564 5772438693300752 6297205847237184 8658658039951128 11544877386601504 12594411694474368 17317316079902256 23089754773203008 34634632159804512 46179509546406016 69269264319609024 138538528639218048
- Sum of all divisors σ(n): 416795149520568000
- Sum of proper divisors (its aliquot sum) s(n): 278256620881349952
- 138538528639218048 is an abundant number, because the sum of its proper divisors (278256620881349952) is greater than itself. Its abundance is 139718092242131904
Bases of 138538528639218048
- Binary: 1111011000011000000001110110010110011111011110001100000002
- Hexadecimal: 0x1EC300ECB3EF180
- Base-36: 11W3T5G0ZATC
Squares and roots of 138538528639218048
- 138538528639218048 squared (1385385286392180482) is 19192923917519439290506400888930304
- 138538528639218048 cubed (1385385286392180483) is 2658959439817599892661410139062302318480005730926592
-
The
square root of 138538528639218048 is 372207641.8334503351 -
The
cube root of 138538528639218048 is 517436.2573458411
Scales and comparisons
How big is 138538528639218048?- 138,538,528,639,218,048 seconds is equal to 4,405,096,682 years, 47 weeks, 6 days, 13 hours, 48 seconds.
-
To count from 1 to 138,538,528,639,218,048 would take you about thirteen billion, two hundred fifteen million, two hundred ninety thousand and forty-eight 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 138538528639218048 cubic inches would be around 43119.7 feet tall.
Recreational maths with 138538528639218048
- 138538528639218048 backwards is 840812936825835831
- The number of decimal digits it has is: 18
- The sum of 138538528639218048's digits is 84
- More coming soon!
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The information we have on file for 138538528639218048 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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