138631880587984128
138,631,880,587,984,128 is an even composite number composed of three prime numbers multiplied together.
What does the number 138631880587984128 look like?
This visualization shows the relationship between its 3 prime factors (large circles) and 720 divisors.
138631880587984128 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 138631880587984128:
28 × 39 × 317
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 31 × 31 × 31 × 31 × 31 × 31 × 31)See below for interesting mathematical facts about the number 138631880587984128 from the Numbermatics database.
Names of 138631880587984128
- Cardinal: 138631880587984128 can be written as One hundred thirty-eight quadrillion, six hundred thirty-one trillion, eight hundred eighty billion, five hundred eighty-seven million, nine hundred eighty-four thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38631880587984128 × 1017
Factors of 138631880587984128
Divisors of 138631880587984128
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 128 144 162 186 192 216 243 248 256 279 288 324 372 384 432 486 496 558 576 648 729 744 768 837 864 961 972 992 1116 1152 1296 1458 1488 1674 1728 1922 1944 1984 2187 2232 2304 2511 2592 2883 2916 2976 3348 3456 3844 3888 3968 4374 4464 5022 5184 5766 5832 5952 6561 6696 6912 7533 7688 7776 7936 8649 8748 8928 10044 10368 11532 11664 11904 13122 13392 15066 15376 15552 17298 17496 17856 19683 20088 20736 22599 23064 23328 23808 25947 26244 26784 29791 30132 30752 31104 34596 34992 35712 39366 40176 45198 46128 46656 51894 52488 53568 59582 60264 61504 62208 67797 69192 69984 71424 77841 78732 80352 89373 90396 92256 93312 103788 104976 107136 119164 120528 123008 135594 138384 139968 155682 157464 160704 178746 180792 184512 186624 203391 207576 209952 214272 233523 238328 241056 246016 268119 271188 276768 279936 311364 314928 321408 357492 361584 369024 406782 415152 419904 467046 476656 482112 536238 542376 553536 559872 610173 622728 629856 642816 700569 714984 723168 738048 804357 813564 830304 839808 923521 934092 953312 964224 1072476 1084752 1107072 1220346 1245456 1259712 1401138 1429968 1446336 1608714 1627128 1660608 1679616 1847042 1868184 1906624 1928448 2101707 2144952 2169504 2214144 2413071 2440692 2490912 2519424 2770563 2802276 2859936 2892672 3217428 3254256 3321216 3694084 3736368 3813248 4203414 4289904 4339008 4826142 4881384 4981824 5038848 5541126 5604552 5719872 5785344 6305121 6434856 6508512 6642432 7239213 7388168 7472736 7626496 8311689 8406828 8579808 8678016 9652284 9762768 9963648 11082252 11209104 11439744 12610242 12869712 13017024 14478426 14776336 14945472 16623378 16813656 17159616 17356032 18915363 19304568 19525536 19927296 21717639 22164504 22418208 22879488 24935067 25220484 25739424 26034048 28629151 28956852 29552672 29890944 33246756 33627312 34319232 37830726 38609136 39051072 43435278 44329008 44836416 49870134 50440968 51478848 52068096 57258302 57913704 59105344 59781888 65152917 66493512 67254624 68638464 74805201 75661452 77218272 78102144 85887453 86870556 88658016 89672832 99740268 100881936 102957696 114516604 115827408 118210688 130305834 132987024 134509248 149610402 151322904 154436544 156204288 171774906 173741112 177316032 179345664 195458751 199480536 201763872 205915392 224415603 229033208 231654816 236421376 257662359 260611668 265974048 269018496 299220804 302645808 308873088 343549812 347482224 354632064 390917502 398961072 403527744 448831206 458066416 463309632 515324718 521223336 531948096 538036992 586376253 598441608 605291616 617746176 673246809 687099624 694964448 709264128 772987077 781835004 797922144 807055488 887503681 897662412 916132832 926619264 1030649436 1042446672 1063896192 1172752506 1196883216 1210583232 1346493618 1374199248 1389928896 1545974154 1563670008 1595844288 1614110976 1775007362 1795324824 1832265664 1853238528 2019740427 2061298872 2084893344 2127792384 2318961231 2345505012 2393766432 2421166464 2662511043 2692987236 2748398496 2779857792 3091948308 3127340016 3191688576 3550014724 3590649648 3664531328 4039480854 4122597744 4169786688 4637922462 4691010024 4787532864 4842332928 5325022086 5385974472 5496796992 5559715584 6059221281 6183896616 6254680032 6383377152 6956883693 7100029448 7181299296 7329062656 7987533129 8078961708 8245195488 8339573376 9275844924 9382020048 9575065728 10650044172 10771948944 10993593984 12118442562 12367793232 12509360064 13913767386 14200058896 14362598592 15975066258 16157923416 16490390976 16679146752 18177663843 18551689848 18764040096 19150131456 20870651079 21300088344 21543897888 21987187968 23962599387 24236885124 24735586464 25018720128 27512614111 27827534772 28400117792 28725197184 31950132516 32315846832 32980781952 36355327686 37103379696 37528080192 41741302158 42600176688 43087795776 47925198774 48473770248 49471172928 50037440256 55025228222 55655069544 56800235584 57450394368 62611953237 63900265032 64631693664 65961563904 71887798161 72710655372 74206759392 75056160384 82537842333 83482604316 85200353376 86175591552 95850397548 96947540496 98942345856 110050456444 111310139088 113600471168 125223906474 127800530064 129263387328 143775596322 145421310744 148413518784 150112320768 165075684666 166965208632 170400706752 172351183104 187835859711 191700795096 193895080992 197884691712 215663394483 220100912888 222620278176 227200942336 247613526999 250447812948 255601060128 258526774656 287551192644 290842621488 296827037568 330151369332 333930417264 340801413504 375671719422 383401590192 387790161984 431326788966 440201825776 445240556352 495227053998 500895625896 511202120256 517053549312 563507579133 575102385288 581685242976 593654075136 646990183449 660302738664 667860834528 681602827008 742840580997 751343438844 766803180384 775580323968 862653577932 880403651552 890481112704 990454107996 1001791251792 1022404240512 1127015158266 1150204770576 1163370485952 1293980366898 1320605477328 1335721669056 1485681161994 1502686877688 1533606360768 1551160647936 1725307155864 1760807303104 1780962225408 1940970550347 1980908215992 2003582503584 2044808481024 2228521742991 2254030316532 2300409541152 2326740971904 2587960733796 2641210954656 2671443338112 2971362323988 3005373755376 3067212721536 3450614311728 3521614606208 3881941100694 3961816431984 4007165007168 4457043485982 4508060633064 4600819082304 4653481943808 5175921467592 5282421909312 5342886676224 5822911651041 5942724647976 6010747510752 6134425443072 6685565228973 6901228623456 7043229212416 7763882201388 7923632863968 8014330014336 8914086971964 9016121266128 9201638164608 10351842935184 10564843818624 11645823302082 11885449295952 12021495021504 13371130457946 13802457246912 15527764402776 15847265727936 16028660028672 17468734953123 17828173943928 18032242532256 18403276329216 20056695686919 20703685870368 21129687637248 23291646604164 23770898591904 24042990043008 26742260915892 27604914493824 31055528805552 31694531455872 34937469906246 35656347887856 36064485064512 40113391373838 41407371740736 46583293208328 47541797183808 48085980086016 53484521831784 55209828987648 60170087060757 62111057611104 63389062911744 69874939812492 71312695775712 72128970129024 80226782747676 82814743481472 93166586416656 95083594367616 106969043663568 120340174121514 124222115222208 139749879624984 142625391551424 144257940258048 160453565495352 165629486962944 180510261182271 186333172833312 190167188735232 213938087327136 240680348243028 248444230444416 279499759249968 285250783102848 320907130990704 361020522364542 372666345666624 427876174654272 481360696486056 496888460888832 541530783546813 558999518499936 570501566205696 641814261981408 722041044729084 745332691333248 855752349308544 962721392972112 1083061567093626 1117999036999872 1283628523962816 1444082089458168 1490665382666496 1711504698617088 1925442785944224 2166123134187252 2235998073999744 2567257047925632 2888164178916336 3850885571888448 4332246268374504 4471996147999488 5134514095851264 5776328357832672 7701771143776896 8664492536749008 11552656715665344 15403542287553792 17328985073498016 23105313431330688 34657970146996032 46210626862661376 69315940293992064 138631880587984128
- Sum of all divisors σ(n): 428912193319081472
- Sum of proper divisors (its aliquot sum) s(n): 290280312731097344
- 138631880587984128 is an abundant number, because the sum of its proper divisors (290280312731097344) is greater than itself. Its abundance is 151648432143113216
Bases of 138631880587984128
- Binary: 1111011001000010011110101111111001111110110111101000000002
- Hexadecimal: 0x1EC84F5FCFDBD00
- Base-36: 11X0WEQL0000
Squares and roots of 138631880587984128
- 138631880587984128 squared (1386318805879841282) is 19218798315361090495326614779920384
- 138631880587984128 cubed (1386318805879841283) is 2664338153099689222882719620999856750805318895665152
-
The
square root of 138631880587984128 is 372333023.7676804945 -
The
cube root of 138631880587984128 is 517552.4532709445
Scales and comparisons
How big is 138631880587984128?- 138,631,880,587,984,128 seconds is equal to 4,408,064,986 years, 7 weeks, 12 hours, 28 minutes, 48 seconds.
-
To count from 1 to 138,631,880,587,984,128 would take you about thirteen billion, two hundred twenty-four million, one hundred ninety-four thousand, nine hundred fifty-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 138631880587984128 cubic inches would be around 43129.4 feet tall.
Recreational maths with 138631880587984128
- 138631880587984128 backwards is 821489785088136831
- The number of decimal digits it has is: 18
- The sum of 138631880587984128's digits is 90
- More coming soon!
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The information we have on file for 138631880587984128 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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