138967312004928
138,967,312,004,928 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138967312004928 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 896 divisors.
138967312004928 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 138967312004928:
26 × 33 × 11 × 29 × 31 × 983 × 8273
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 29 × 31 × 983 × 8273)See below for interesting mathematical facts about the number 138967312004928 from the Numbermatics database.
Names of 138967312004928
- Cardinal: 138967312004928 can be written as One hundred thirty-eight trillion, nine hundred sixty-seven billion, three hundred twelve million, four thousand, nine hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38967312004928 × 1014
Factors of 138967312004928
Divisors of 138967312004928
- Number of divisors d(n): 896
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 29 31 32 33 36 44 48 54 58 62 64 66 72 87 88 93 96 99 108 116 124 132 144 174 176 186 192 198 216 232 248 261 264 279 288 297 319 341 348 352 372 396 432 464 496 522 528 558 576 594 638 682 696 704 744 783 792 837 864 899 928 957 983 992 1023 1044 1056 1116 1188 1276 1364 1392 1488 1566 1584 1674 1728 1798 1856 1914 1966 1984 2046 2088 2112 2232 2376 2552 2697 2728 2784 2871 2949 2976 3069 3132 3168 3348 3596 3828 3932 4092 4176 4464 4752 5104 5394 5456 5568 5742 5898 5952 6138 6264 6336 6696 7192 7656 7864 8091 8184 8273 8352 8613 8847 8928 9207 9504 9889 10208 10788 10813 10912 11484 11796 12276 12528 13392 14384 15312 15728 16182 16368 16546 16704 17226 17694 17856 18414 19008 19778 20416 21576 21626 21824 22968 23592 24273 24552 24819 25056 26541 26784 28507 28768 29667 30473 30624 31456 32364 32439 32736 33092 34452 35388 36828 39556 43152 43252 45936 47184 48546 49104 49638 50112 53082 53568 57014 57536 59334 60946 61248 62912 64728 64878 65472 66184 68904 70776 73656 74457 79112 85521 86304 86504 89001 91003 91419 91872 94368 97092 97317 98208 99276 106164 114028 118668 121892 129456 129756 132368 137808 141552 147312 148914 158224 171042 172608 173008 178002 182006 182838 183744 188736 194184 194634 196416 198552 212328 223371 228056 237336 239917 243784 256463 256563 258912 259512 264736 267003 273009 274257 275616 283104 291951 294624 297828 313577 316448 335203 342084 346016 356004 364012 365676 388368 389268 397104 424656 446742 456112 474672 479834 487568 512926 513126 517824 519024 529472 534006 546018 548514 551232 566208 583902 589248 595656 627154 632896 670406 684168 692032 712008 719751 728024 731352 769389 769689 776736 778536 794208 819027 822771 849312 883717 893484 912224 940731 949344 959668 975136 1005609 1025852 1026252 1038048 1068012 1092036 1097028 1167804 1191312 1254308 1340812 1368336 1424016 1439502 1456048 1462704 1538778 1539378 1553472 1557072 1588416 1638054 1645542 1698624 1767434 1786968 1824448 1881462 1898688 1919336 1950272 2011218 2051704 2052504 2076096 2136024 2159253 2184072 2194056 2308167 2335608 2382624 2457081 2508616 2639087 2651151 2681624 2736672 2821093 2822193 2848032 2879004 2912096 2925408 3016827 3077556 3078756 3114144 3276108 3291084 3534868 3573936 3762924 3838672 4022436 4103408 4105008 4272048 4318506 4368144 4388112 4616334 4671216 4765248 4914162 5017232 5278174 5302302 5363248 5473344 5642186 5644386 5696064 5758008 5824192 5850816 6033654 6155112 6157512 6228288 6477759 6552216 6582168 6924501 7069736 7147872 7437427 7525848 7677344 7917261 7953453 8044872 8132359 8206816 8210016 8463279 8466579 8544096 8637012 8736288 8776224 9050481 9232668 9342432 9720887 9828324 10034464 10556348 10604604 10726496 11284372 11288772 11516016 12067308 12310224 12315024 12955518 13104432 13164336 13849002 14139472 14295744 14874854 15051696 15354688 15834522 15906906 16089744 16264718 16413632 16420032 16926558 16933158 17088192 17274024 17472576 17552448 18100962 18465336 18684864 19441774 19656648 20068928 21112696 21209208 21452992 22312281 22568744 22577544 23032032 23751783 23860359 24134616 24397077 24620448 24630048 25389837 25911036 26208864 26328672 27698004 28278944 29162661 29749708 30103392 31669044 31813812 32179488 32529436 33853116 33866316 34548048 36201924 36930672 38883548 39313296 42225392 42418416 44624562 45137488 45155088 46064064 47503566 47720718 48269232 48794154 49240896 49260096 50779674 51822072 52417728 52657344 55396008 56557888 58325322 59499416 60206784 63338088 63627624 64358976 65058872 66936843 67706232 67732632 69096096 71255349 72403848 73191231 73861344 76169511 77767096 78626592 81811697 84450784 84836832 87487983 89249124 89455949 90274976 90310176 95007132 95441436 96538464 97588308 101559348 103644144 110792016 116650644 118998832 126676176 127255248 130117744 133873686 135412464 135465264 138192192 142510698 144807696 146382462 147722688 152339022 155534192 157253184 163623394 168901568 169673664 174975966 178498248 178911898 180549952 180620352 190014264 190882872 193076928 195176616 200810529 203118696 207288288 219573693 221584032 233301288 235838411 237997664 245435091 252103129 253352352 254510496 260235488 262463949 267747372 268367847 270824928 270930528 285021396 289615392 292764924 304678044 311068384 327246788 349951932 356996496 357823796 380028528 381765744 390353232 401621058 406237392 414576576 439147386 443168064 466602576 471676822 475995328 490870182 504206258 506704704 509020992 520470976 524927898 535494744 536735694 541649856 541861056 570042792 579230784 585529848 609356088 622136768 654493576 699903864 707515233 713992992 715647592 736305273 756309387 760057056 763531488 780706464 803242116 805103541 812474784 878294772 933205152 943353644 981740364 1008412516 1049855796 1070989488 1073471388 1140085584 1171059696 1218712176 1308987152 1399807728 1415030466 1427985984 1431295184 1472610546 1512618774 1520114112 1527062976 1561412928 1606484232 1610207082 1624949568 1756589544 1866410304 1886707288 1963480728 2016825032 2099711592 2122545699 2141978976 2146942776 2208915819 2268928161 2280171168 2342119392 2415310623 2437424352 2594222521 2617974304 2773134419 2799615456 2830060932 2862590368 2945221092 3025237548 3212968464 3220414164 3513179088 3773414576 3926961456 4033650064 4199423184 4245091398 4283957952 4293885552 4417831638 4537856322 4560342336 4684238784 4830621246 4874848704 5188445042 5235948608 5546268838 5599230912 5660121864 5725180736 5890442184 6050475096 6367637097 6425936928 6440828328 6806784483 7026358176 7310990741 7546829152 7782667563 7853922912 8067300128 8319403257 8398846368 8490182796 8587771104 8835663276 9075712644 9661242492 10376890084 11092537676 11320243728 11780884368 12100950192 12735274194 12851873856 12881656656 13613568966 14052716352 14621981482 15093658304 15565335126 15707845824 16134600256 16638806514 16797692736 16980365592 17175542208 17671326552 18151425288 19322484984 20753780168 21932972223 22185075352 22640487456 23348002689 23561768736 24201900384 24958209771 25470548388 25763313312 27227137932 29243962964 31130670252 33277613028 33960731184 35342653104 36302850576 38644969968 41507560336 43865944446 44370150704 45280974912 46696005378 47123537472 48403800768 49916419542 50941096776 51526626624 54454275864 58487925928 62261340504 65798916669 66555226056 67921462368 70044008067 70685306208 72605701152 74874629313 77289939936 80420898151 83015120672 87731888892 88740301408 93392010756 99832839084 101882193552 108908551728 116975851856 124522681008 131597833338 133110452112 135842924736 140088016134 141370612416 145211402304 149749258626 154579879872 160841796302 166030241344 175463777784 177480602816 186784021512 197396750007 199665678168 203764387104 217817103456 233951703712 241262694453 249045362016 263195666676 266220904224 280176032268 299498517252 321683592604 350927555568 373568043024 394793500014 399331356336 407528774208 435634206912 467903407424 482525388906 498090724032 526391333352 532441808448 560352064536 598997034504 643367185208 701855111136 723788083359 747136086048 789587000028 798662712672 965050777812 1052782666704 1120704129072 1197994069008 1286734370416 1403710222272 1447576166718 1494272172096 1579174000056 1597325425344 1930101555624 2105565333408 2171364250077 2241408258144 2395988138016 2573468740832 2895152333436 3158348000112 3860203111248 4211130666816 4342728500154 4482816516288 4791976276032 5146937481664 5790304666872 6316696000224 7720406222496 8685457000308 11580609333744 12633392000448 15440812444992 17370914000616 23161218667488 34741828001232 46322437334976 69483656002464 138967312004928
- Sum of all divisors σ(n): 476460394905600
- Sum of proper divisors (its aliquot sum) s(n): 337493082900672
- 138967312004928 is an abundant number, because the sum of its proper divisors (337493082900672) is greater than itself. Its abundance is 198525770895744
Bases of 138967312004928
- Binary: 111111001100011110110010100010001110111010000002
- Hexadecimal: 0x7E63D9447740
- Base-36: 1D9CP9JDC0
Squares and roots of 138967312004928
- 138967312004928 squared (1389673120049282) is 19311913805875005827096285184
- 138967312004928 cubed (1389673120049283) is 2683724751273308479011259545921835901386752
-
The
square root of 138967312004928 is 11788439.7612630655 -
The
cube root of 138967312004928 is 51796.9537527893
Scales and comparisons
How big is 138967312004928?- 138,967,312,004,928 seconds is equal to 4,418,730 years, 34 weeks, 5 days, 28 minutes, 48 seconds.
-
To count from 1 to 138,967,312,004,928 would take you about eleven million, forty-six thousand, eight hundred twenty-six 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 138967312004928 cubic inches would be around 4316.4 feet tall.
Recreational maths with 138967312004928
- 138967312004928 backwards is 829400213769831
- The number of decimal digits it has is: 15
- The sum of 138967312004928's digits is 63
- More coming soon!
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"Number 138967312004928 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 138967312004928 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/138967312004928/
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The information we have on file for 138967312004928 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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