138124912189824
138,124,912,189,824 is an even composite number composed of six prime numbers multiplied together.
138124912189824 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138124912189824:
27 × 34 × 72 × 31 × 612 × 2357
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 31 × 61 × 61 × 2357)See below for interesting mathematical facts about the number 138124912189824 from the Numbermatics database.
Names of 138124912189824
- Cardinal: 138124912189824 can be written as One hundred thirty-eight trillion, one hundred twenty-four billion, nine hundred twelve million, one hundred eighty-nine thousand, eight hundred twenty-four.
Scientific notation
- Scientific notation: 1.38124912189824 × 1014
Factors of 138124912189824
Divisors of 138124912189824
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 32 36 42 48 49 54 56 61 62 63 64 72 81 84 93 96 98 108 112 122 124 126 128 144 147 162 168 183 186 189 192 196 216 217 224 244 248 252 279 288 294 324 336 366 372 378 384 392 427 432 434 441 448 488 496 504 549 558 567 576 588 648 651 672 732 744 756 784 837 854 864 868 882 896 976 992 1008 1098 1116 1134 1152 1176 1281 1296 1302 1323 1344 1464 1488 1512 1519 1568 1647 1674 1708 1728 1736 1764 1891 1952 1953 1984 2016 2196 2232 2268 2352 2357 2511 2562 2592 2604 2646 2688 2928 2976 2989 3024 3038 3136 3294 3348 3416 3456 3472 3528 3721 3782 3843 3904 3906 3968 3969 4032 4392 4464 4536 4557 4704 4714 4941 5022 5124 5184 5208 5292 5673 5856 5859 5952 5978 6048 6076 6272 6588 6696 6832 6944 7056 7071 7442 7564 7686 7808 7812 7938 8064 8784 8928 8967 9072 9114 9408 9428 9882 10044 10248 10368 10416 10584 11163 11346 11529 11712 11718 11904 11956 12096 12152 13176 13237 13392 13664 13671 13888 14112 14142 14884 15128 15372 15624 15876 16499 17019 17568 17577 17856 17934 18144 18228 18816 18856 19764 20088 20496 20832 21168 21213 22326 22692 23058 23424 23436 23912 24192 24304 26047 26352 26474 26784 26901 27328 27342 27776 28224 28284 29768 30256 30744 31248 31752 32998 33489 34038 34587 35136 35154 35712 35868 36288 36456 37712 39528 39711 40176 40992 41013 41664 42336 42426 44652 45384 46116 46872 47824 48608 49497 51057 52094 52704 52948 53568 53802 54656 54684 56448 56568 59536 60512 61488 62496 63504 63639 65996 66978 68076 69174 70272 70308 71736 72576 72912 73067 75424 78141 79056 79422 80352 80703 81984 82026 83328 84672 84852 89304 90768 92232 92659 93744 95648 97216 98994 100467 102114 104188 105408 105896 107136 107604 109368 113136 115351 115493 119072 119133 121024 122976 123039 124992 127008 127278 131992 133956 136152 138348 140616 143472 143777 145824 146134 148491 150848 153171 156282 158112 158844 160704 161406 163968 164052 169344 169704 178608 181536 182329 184464 185318 187488 190917 191296 194432 197988 200934 204228 208376 210816 211792 215208 218736 219201 226272 230702 230986 234423 238144 238266 242048 242109 245952 246078 249984 254016 254556 263984 267912 272304 276696 277977 281232 286944 287554 291648 292268 296982 301401 301696 306342 312564 316224 317688 321408 322812 328104 339408 346053 346479 357216 357399 363072 364658 368928 370636 374976 381834 382592 395976 401868 408456 416752 423584 430416 431331 437472 438402 445473 452544 461404 461972 468846 476288 476532 484218 491904 492156 508032 509112 511469 527968 535824 544608 546987 553392 555954 562464 573888 575108 583296 584536 593964 602802 612684 625128 632448 635376 645624 656208 657603 678816 692106 692958 703269 714432 714798 726144 729316 737856 741272 749952 763668 791952 803736 807457 816912 833504 833931 847168 860832 862662 874944 876804 890946 905088 922808 923944 937692 953064 968436 984312 1006439 1018224 1022938 1038159 1039437 1055936 1071648 1072197 1089216 1093974 1106784 1111908 1124928 1147776 1150216 1169072 1187928 1205604 1225368 1250256 1270752 1291248 1293993 1312416 1315206 1336419 1357632 1384212 1385916 1406538 1428864 1429596 1458632 1475712 1482544 1527336 1534407 1583904 1607472 1614914 1633824 1640961 1667008 1667862 1694336 1721664 1725324 1749888 1753608 1781892 1845616 1847888 1875384 1906128 1936872 1968624 1972809 2012878 2036448 2045876 2076318 2078874 2109807 2111872 2143296 2144394 2178432 2187948 2213568 2223816 2249856 2300432 2338144 2375856 2411208 2422371 2450736 2500512 2501793 2541504 2582496 2587986 2624832 2630412 2672838 2715264 2768424 2771832 2813076 2859192 2917264 2965088 3019317 3054672 3068814 3114477 3118311 3167808 3214944 3229828 3267648 3281922 3334016 3335724 3443328 3450648 3507216 3563784 3580283 3691232 3695776 3750768 3812256 3873744 3881979 3937248 3945618 4025756 4072896 4091752 4152636 4157748 4219614 4286592 4288788 4375896 4427136 4447632 4457087 4600864 4603221 4676288 4751712 4822416 4844742 4901472 4922883 5001024 5003586 5083008 5164992 5175972 5249664 5260824 5345676 5536848 5543664 5626152 5652199 5718384 5834528 5918427 5930176 6038634 6109344 6137628 6228954 6236622 6335616 6429888 6459656 6535296 6563844 6671448 6901296 7014432 7045073 7127568 7160566 7267113 7382464 7391552 7501536 7505379 7624512 7747488 7763958 7874496 7891236 8051512 8145792 8183504 8305272 8315496 8439228 8577576 8751792 8770397 8895264 8914174 9057951 9201728 9206442 9343431 9352576 9354933 9503424 9644832 9689484 9802944 9845766 10002048 10007172 10329984 10351944 10521648 10691352 10740849 11073696 11087328 11252304 11304398 11436768 11645937 11669056 11836854 11860352 12077268 12218688 12275256 12457908 12473244 12859776 12919312 13127688 13342896 13371261 13802592 13809663 14028864 14090146 14255136 14321132 14534226 14764928 14768649 14783104 15003072 15010758 15249024 15494976 15527916 15748992 15782472 16103024 16367008 16610544 16630992 16878456 16956597 17155152 17503584 17540794 17790528 17828348 18115902 18403456 18412884 18686862 18709866 19006848 19289664 19378968 19605888 19691532 20014344 20703888 21043296 21135219 21382704 21481698 21801339 22147392 22174656 22504608 22608796 22873536 23291874 23338112 23673708 24154536 24437376 24550512 24915816 24946488 25838624 26255376 26311191 26685792 26742522 27173853 27605184 27619326 28057728 28180292 28510272 28642264 29068452 29537298 30006144 30021516 30989952 31055832 31199609 31564944 32206048 32222547 32734016 33221088 33261984 33756912 33913194 34310304 35007168 35081588 35581056 35656696 36231804 36825768 37373724 37419732 38579328 38757936 39383064 40028688 40113783 41407776 41428989 42086592 42270438 42765408 42963396 43602678 44294784 44349312 45009216 45217592 45747072 46583748 47347416 48309072 49101024 49831632 49892976 50869791 51677248 52510752 52622382 53371584 53485044 54347706 55210368 55238652 56360584 57020544 57284528 58136904 59074596 60043032 61392779 62111664 62399218 63129888 63405657 64412096 64445094 65404017 65468032 66442176 66523968 67513824 67826388 68620608 70014336 70163176 71313392 72463608 73651536 74747448 74839464 77515872 78766128 78933573 80057376 80227566 81521559 82815552 82857978 84173184 84540876 85530816 85926792 87205356 90018432 90435184 93167496 93598827 94694832 96618144 96667641 98202048 99663264 99785952 101739582 103354496 105021504 105244764 106743168 106970088 108695412 110477304 112721168 114569056 116273808 118149192 120086064 120341349 122785558 124223328 124798436 126259776 126811314 128824192 128890188 130808034 132884352 133047936 135027648 135652776 137241216 140326352 142626784 144927216 147303072 149494896 149678928 152609373 155031744 157532256 157867146 160114752 160455132 163043118 165631104 165715956 169081752 171061632 171853584 174410712 180870368 184178337 186334992 187197654 189389664 190216971 193236288 193335282 196404096 199326528 199571904 203479164 210043008 210489528 213940176 217390824 218397263 220954608 225442336 229138112 232547616 236298384 236800719 240172128 240682698 245571116 248446656 249596872 252519552 253622628 257780376 261616068 270055296 271305552 271882307 280652704 280796481 285253568 289854432 290002923 294606144 298989792 299357856 305218746 310063488 315064512 315734292 320229504 320910264 326086236 331431912 338163504 343707168 348821424 361024047 361740736 368356674 372669984 374395308 378779328 380433942 386472576 386670564 398653056 399143808 406958328 420979056 427880352 429749453 434781648 436794526 441909216 450884672 457828119 458276224 465095232 472596768 473601438 480344256 481365396 491142232 496893312 499193744 507245256 515560752 523232136 542611104 543764614 552535011 561305408 561592962 570507136 570650913 579708864 580005846 589212288 597979584 598715712 610437492 630129024 631468584 641820528 652172472 655191789 662863824 676327008 687414336 697642848 710402157 722048094 723481472 736713348 745339968 748790616 757558656 760867884 773341128 813916656 815646921 841958112 842389443 855760704 859498906 869563296 873589052 883818432 901769344 915656238 930190464 945193536 947202876 960688512 962730792 982284464 998387488 1014490512 1031121504 1046464272 1085222208 1087529228 1105070022 1122610816 1123185924 1141301826 1159417728 1160011692 1195959168 1197431424 1220874984 1262937168 1283641056 1289248359 1304344944 1310383578 1325727648 1352654016 1374828672 1395285696 1420804314 1444096188 1473426696 1490679936 1497581232 1521735768 1546682256 1627833312 1631293842 1657605033 1683916224 1684778886 1711521408 1718997812 1739126592 1747178104 1767636864 1831312476 1890387072 1894405752 1903176149 1925461584 1964568928 1965575367 1996774976 2028981024 2062243008 2092928544 2170444416 2175058456 2210140044 2246371848 2282603652 2320023384 2441749968 2446940763 2525874336 2527168329 2567282112 2578496718 2608689888 2620767156 2651455296 2705308032 2790571392 2841608628 2888192376 2946853392 2995162464 3043471536 3093364512 3255666624 3262587684 3315210066 3367832448 3369557772 3437995624 3478253184 3494356208 3662624952 3788811504 3806352298 3850923168 3867745077 3929137856 3931150734 3993549952 4057962048 4124486016 4185857088 4350116912 4420280088 4492743696 4565207304 4640046768 4883499936 4893881526 4972815099 5051748672 5054336658 5134564224 5156993436 5217379776 5241534312 5302910592 5683217256 5709528447 5776384752 5893706784 5896726101 5990324928 6086943072 6186729024 6511333248 6525175368 6630420132 6739115544 6875991248 6988712416 7325249904 7340822289 7577623008 7612704596 7701846336 7735490154 7858275712 7862301468 8115924096 8371714176 8700233824 8840560176 8985487392 9130414608 9280093536 9766999872 9787763052 9945630198 10103497344 10108673316 10313986872 10434759552 10483068624 11366434512 11419056894 11552769504 11603235231 11787413568 11793452202 11980649856 12173886144 12373458048 13050350736 13260840264 13322233043 13478231088 13751982496 13977424832 14650499808 14681644578 15155246016 15225409192 15403692672 15470980308 15724602936 17128585341 17400467648 17681120352 17690178303 17970974784 18260829216 18560187072 19533999744 19575526104 19891260396 20217346632 20627973744 20966137248 22022466867 22732869024 22838113788 23105539008 23206470462 23574827136 23586904404 24347772288 26100701472 26521680528 26644466086 26956462176 27503964992 27954849664 29300999616 29363289156 30310492032 30450818384 30941960616 31449205872 34257170682 34800935296 34809705693 35362240704 35380356606 35941949568 36521658432 37120374144 39151052208 39782520792 39966699129 40434693264 41255947488 41932274496 44044933734 45465738048 45676227576 46211078016 46412940924 47173808808 51385756023 52201402944 53043361056 53288932172 53912924352 55007929984 58601999232 58726578312 60901636768 61883921232 62898411744 68514341364 69619411386 70724481408 70760713212 73043316864 78302104416 79565041584 79933398258 80869386528 82511894976 83864548992 88089867468 90931476096 91352455152 92825881848 94347617616 102771512046 104402805888 106086722112 106577864344 107825848704 117453156624 119900097387 121803273536 123767842464 125796823488 137028682728 139238822772 141521426424 154157268069 156604208832 159130083168 159866796516 161738773056 165023789952 176179734936 182704910304 185651763696 188695235232 205543024092 212173444224 213155728688 234906313248 239800194774 243606547072 247535684928 251593646976 274057365456 278477645544 283042852848 308314536138 313208417664 318260166336 319733593032 323477546112 352359469872 359700292161 365409820608 371303527392 377390470464 411086048184 426311457376 469812626496 479600389548 495071369856 548114730912 556955291088 566085705696 616629072276 636520332672 639467186064 704718939744 719400584322 730819641216 742607054784 754780940928 822172096368 852622914752 939625252992 959200779096 1079100876483 1096229461824 1113910582176 1132171411392 1233258144552 1278934372128 1409437879488 1438801168644 1485214109568 1644344192736 1705245829504 1918401558192 2158201752966 2192458923648 2227821164352 2264342822784 2466516289104 2557868744256 2818875758976 2877602337288 3288688385472 3836803116384 4316403505932 4455642328704 4933032578208 5115737488512 5755204674576 6577376770944 7673606232768 8632807011864 9866065156416 11510409349152 15347212465536 17265614023728 19732130312832 23020818698304 34531228047456 46041637396608 69062456094912 138124912189824
- Sum of all divisors σ(n): 502030990169280
- Sum of proper divisors (its aliquot sum) s(n): 363906077979456
- 138124912189824 is an abundant number, because the sum of its proper divisors (363906077979456) is greater than itself. Its abundance is 225781165789632
Bases of 138124912189824
- Binary: 111110110011111101101100101001101100001100000002
- Hexadecimal: 0x7D9FB6536180
- Base-36: 1CYLPIFS00
Squares and roots of 138124912189824
- 138124912189824 squared (1381249121898242) is 19078491367446590627009150976
- 138124912189824 cubed (1381249121898243) is 2635214944842875540389845420936099186868224
-
The
square root of 138124912189824 is 11752655.5377848117 -
The
cube root of 138124912189824 is 51692.0796666577
Scales and comparisons
How big is 138124912189824?- 138,124,912,189,824 seconds is equal to 4,391,944 years, 49 weeks, 6 days, 3 hours, 50 minutes, 24 seconds.
-
To count from 1 to 138,124,912,189,824 would take you about ten million, nine hundred seventy-nine thousand, eight hundred sixty-two 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 138124912189824 cubic inches would be around 4307.7 feet tall.
Recreational maths with 138124912189824
- 138124912189824 backwards is 428981219421831
- 138124912189824 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138124912189824's digits is 63
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138124912189824 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
APA style:
Numbermatics. (2024). Number 138124912189824 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/138124912189824/
Chicago style:
Numbermatics. 2024. "Number 138124912189824 - Facts about the integer". https://numbermatics.com/n/138124912189824/
The information we have on file for 138124912189824 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!
Keywords: Divisors of 138124912189824, math, Factors of 138124912189824, curriculum, school, college, exams, university, Prime factorization of 138124912189824, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, one hundred twenty-four billion, nine hundred twelve million, one hundred eighty-nine thousand, eight hundred twenty-four.