138100311438336
138,100,311,438,336 is an even composite number composed of five prime numbers multiplied together.
What does the number 138100311438336 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1320 divisors.
138100311438336 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred twenty divisors.
Prime factorization of 138100311438336:
210 × 33 × 134 × 47 × 612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 13 × 13 × 13 × 47 × 61 × 61)See below for interesting mathematical facts about the number 138100311438336 from the Numbermatics database.
Names of 138100311438336
- Cardinal: 138100311438336 can be written as One hundred thirty-eight trillion, one hundred billion, three hundred eleven million, four hundred thirty-eight thousand, three hundred thirty-six.
Scientific notation
- Scientific notation: 1.38100311438336 × 1014
Factors of 138100311438336
Divisors of 138100311438336
- Number of divisors d(n): 1320
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 47 48 52 54 61 64 72 78 94 96 104 108 117 122 128 141 144 156 169 183 188 192 208 216 234 244 256 282 288 312 338 351 366 376 384 416 423 432 468 488 507 512 549 564 576 611 624 676 702 732 752 768 793 832 846 864 936 976 1014 1024 1098 1128 1152 1222 1248 1269 1352 1404 1464 1504 1521 1536 1586 1647 1664 1692 1728 1833 1872 1952 2028 2196 2197 2256 2304 2379 2444 2496 2538 2704 2808 2867 2928 3008 3042 3072 3172 3294 3328 3384 3456 3666 3721 3744 3904 4056 4392 4394 4512 4563 4608 4758 4888 4992 5076 5408 5499 5616 5734 5856 6016 6084 6344 6588 6591 6656 6768 6912 7137 7332 7442 7488 7808 7943 8112 8601 8784 8788 9024 9126 9216 9516 9776 9984 10152 10309 10816 10998 11163 11232 11468 11712 12032 12168 12688 13176 13182 13312 13536 13824 14274 14664 14884 14976 15616 15886 16224 16497 17202 17568 17576 18048 18252 19032 19552 19773 19968 20304 20618 21411 21632 21996 22326 22464 22936 23424 23829 24064 24336 25376 25803 26352 26364 27072 27648 28548 28561 29328 29768 29952 30927 31232 31772 32448 32994 33489 34404 35136 35152 36096 36504 37271 38064 39104 39546 39936 40608 41236 42822 43264 43992 44652 44928 45872 46848 47658 48128 48373 48672 50752 51606 52704 52728 54144 57096 57122 58656 59319 59536 59904 61854 62464 63544 64896 65988 66978 68808 70272 70304 71487 72192 73008 74542 76128 77409 78208 79092 81216 82472 85644 85683 86528 87984 89304 89856 91744 92781 93696 95316 96746 97344 100467 101504 103212 103259 105408 105456 108288 111813 114192 114244 117312 118638 119072 119808 123708 127088 129792 131976 133956 134017 137616 140544 140608 142974 144384 145119 146016 149084 152256 154818 156416 158184 162432 164944 171288 171366 173056 174887 175968 178608 179712 183488 185562 187392 190632 193492 194688 200934 203008 206424 206518 210816 210912 214461 216576 223626 228384 228488 234624 237276 238144 247416 254176 257049 259584 263952 267912 268034 275232 278343 281088 281216 285948 290238 292032 298168 304512 309636 309777 312832 316368 324864 329888 335439 342576 342732 349774 351936 357216 359424 366976 371124 381264 386984 389376 401868 402051 406016 412848 413036 421632 421824 428922 433152 435357 447252 456768 456976 469248 474552 476288 484523 494832 508352 514098 519168 524661 527904 535824 536068 550464 556686 562176 562432 571896 580476 584064 596336 609024 619272 619554 625664 628849 632736 649728 659776 670878 685152 685464 699548 703872 714432 733952 742248 762528 771147 773968 778752 803736 804102 812032 825696 826072 843264 843648 857844 870714 894504 913536 913952 929331 938496 949104 952576 969046 989664 1006317 1016704 1028196 1049322 1055808 1071648 1072136 1100928 1113372 1124864 1143792 1160952 1168128 1192672 1206153 1218048 1238544 1239108 1257698 1265472 1299456 1306071 1319552 1341756 1342367 1370304 1370928 1399096 1407744 1428864 1453569 1467904 1484496 1525056 1542294 1547936 1557504 1573983 1607472 1608204 1651392 1652144 1686528 1687296 1715688 1741428 1742221 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29738592 30184752 30371328 31009472 31359978 31669248 32202144 32216808 32700148 32902272 33578304 33957846 34292736 34308352 34885656 35627904 36243909 36376496 36601344 37150464 37775592 37792794 38165504 38596896 39633408 39651456 40246336 40923558 41794272 41813304 42936192 42955744 43869696 44607888 44771072 45277128 46514208 47039967 47503872 48325212 49050222 49353408 49533952 50367456 50390392 51439104 51462528 52328484 52868608 54564744 54902016 55725696 55751072 56689191 57248256 57895344 59111806 59477184 60369504 60742656 61385337 62018944 62719956 64404288 64433616 65400296 65804544 67156608 67915692 68616704 69771312 71255808 72487818 72752992 73202688 73575333 74300928 75551184 75585588 77193792 79266816 79302912 80492672 81847116 81884387 83588544 83626608 85872384 85911488 87739392 88667709 89215776 89542144 90554256 93028416 94079934 95007744 96650424 98100444 98706816 100734912 100780784 102878208 102925056 104656968 105737216 106275481 109129488 109804032 111451392 111502144 113378382 114496512 115790688 118223612 118954368 120739008 122770674 124037888 125439912 128808576 128867232 130800592 131609088 134313216 135831384 137233408 139542624 142511616 144975636 145505984 147150666 148601856 151102368 151171176 154387584 158605824 160985344 163694232 163768774 167177088 167253216 170067573 171744768 171822976 177335418 178431552 179084288 181108512 186056832 188159868 193300848 196200888 197413632 201469824 201561568 205850112 209313936 212550962 218258976 219608064 220725999 222902784 223004288 226756764 231581376 236447224 237908736 241478016 245541348 245653161 248075776 250879824 257617152 257734464 261601184 263218176 266003127 268626432 271662768 279085248 285023232 289951272 291011968 294301332 302204736 302342352 308775168 317211648 318826443 321970688 327388464 327537548 334354176 334506432 340135146 343489536 343645952 354670836 356863104 362217024 372113664 376319736 384226739 386601696 392401776 394827264 402939648 403123136 411700224 418627872 425101924 436517952 441451998 445805568 446008576 453513528 463162752 472894448 475817472 482956032 491082696 491306322 496151552 501759648 515234304 515468928 523202368 532006254 537252864 543325536 558170496 579902544 582023936 588602664 604409472 604684704 617550336 637652886 643941376 654776928 655075096 668708352 669012864 680270292 687291904 709341672 713726208 724434048 736959483 744227328 752639472 768453478 773203392 784803552 789654528 798009381 805879296 806246272 837255744 850203848 873035904 882903996 892017152 907027056 926325504 945788896 951634944 956479329 965912064 982165392 982612644 1003519296 1030468608 1030937856 1046404736 1064012508 1086651072 1116340992 1152680217 1159805088 1164047872 1177205328 1208818944 1209369408 1235100672 1275305772 1309553856 1310150192 1337416704 1338025728 1360540584 1374583808 1418683344 1427452416 1448868096 1473918966 1488454656 1505278944 1536906956 1546406784 1569607104 1596018762 1611758592 1612492544 1674511488 1700407696 1746071808 1765807992 1784034304 1814054112 1852651008 1891577792 1912958658 1931824128 1964330784 1965225288 2007038592 2061875712 2092809472 2128025016 2173302144 2210878449 2232681984 2305360434 2319610176 2328095744 2354410656 2417637888 2418738816 2550611544 2619107712 2620300384 2676051456 2721081168 2837366688 2854904832 2869437987 2897736192 2947837932 3010557888 3073813912 3092813568 3139214208 3192037524 3224985088 3349022976 3400815392 3458040651 3492143616 3531615984 3628108224 3705302016 3783155584 3825917316 3928661568 3930450576 4014077184 4123751424 4185618944 4256050032 4346604288 4421756898 4465363968 4610720868 4639220352 4708821312 4835275776 4837477632 4994947607 5101223088 5238215424 5240600768 5352102912 5442162336 5674733376 5738875974 5795472384 5895675864 6021115776 6147627824 6185627136 6278428416 6384075048 6449970176 6698045952 6801630784 6916081302 6984287232 7063231968 7256216448 7566311168 7651834632 7857323136 7860901152 8028154368 8371237888 8512100064 8693208576 8843513796 9221441736 9278440704 9417642624 9674955264 9989895214 10202446176 10374121953 10476430848 10481201536 10884324672 11349466752 11477751948 11791351728 12042231552 12295255648 12371254272 12556856832 12768150096 13396091904 13603261568 13832162604 14126463936 14512432896 14984842821 15132622336 15303669264 15714646272 15721802304 16056308736 17024200128 17386417152 17687027592 18442883472 18556881408 18835285248 19349910528 19979790428 20404892352 20748243906 20952861696 20962403072 21768649344 22698933504 22955503896 23582703456 24084463104 24590511296 25113713664 25536300192 27206523136 27664325208 28252927872 29024865792 29969685642 30265244672 30607338528 31429292544 31443604608 34048400256 35374055184 36885766944 37113762816 37670570496 39959580856 40809784704 41496487812 41924806144 43537298688 44954528463 45397867008 45911007792 47165406912 48168926208 49181022592 51072600384 54413046272 55328650416 56505855744 58049731584 59939371284 61214677056 62858585088 62887209216 68096800512 70748110368 73771533888 75341140992 79919161712 81619569408 82992975624 83849612288 87074597376 89909056926 90795734016 91822015584 94330813824 98362045184 102145200768 108826092544 110657300832 113011711488 119878742568 122429354112 125774418432 134863585389 136193601024 141496220736 147543067776 159838323424 163239138816 165985951248 174149194752 179818113852 183644031168 188661627648 196724090368 204290401536 221314601664 226023422976 239757485136 244858708224 251548836864 269727170778 272387202048 282992441472 295086135552 319676646848 326478277632 331971902496 359636227704 367288062336 377323255296 393448180736 408580803072 442629203328 479514970272 489717416448 539454341556 565984882944 590172271104 639353293696 663943804992 719272455408 734576124672 754646510592 817161606144 885258406656 959029940544 979434832896 1078908683112 1131969765888 1180344542208 1278706587392 1327887609984 1438544910816 1469152249344 1770516813312 1918059881088 2157817366224 2263939531776 2557413174784 2655775219968 2877089821632 2938304498688 3541033626624 3836119762176 4315634732448 5114826349568 5311550439936 5754179643264 7672239524352 8631269464896 10623100879872 11508359286528 15344479048704 17262538929792 23016718573056 34525077859584 46033437146112 69050155719168 138100311438336
- Sum of all divisors σ(n): 460033817742720
- Sum of proper divisors (its aliquot sum) s(n): 321933506304384
- 138100311438336 is an abundant number, because the sum of its proper divisors (321933506304384) is greater than itself. Its abundance is 183833194866048
Bases of 138100311438336
- Binary: 111110110011001111111000000000110110100000000002
- Hexadecimal: 0x7D99FC01B400
- Base-36: 1CYAENSAO0
Squares and roots of 138100311438336
- 138100311438336 squared (1381003114383362) is 19071696019365397037130448896
- 138100311438336 cubed (1381003114383363) is 2633807159931634299810744215774819103277056
-
The
square root of 138100311438336 is 11751608.8872262935 -
The
cube root of 138100311438336 is 51689.0106100823
Scales and comparisons
How big is 138100311438336?- 138,100,311,438,336 seconds is equal to 4,391,162 years, 38 weeks, 5 hours, 45 minutes, 36 seconds.
-
To count from 1 to 138,100,311,438,336 would take you about ten million, nine hundred seventy-seven thousand, nine hundred 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 138100311438336 cubic inches would be around 4307.4 feet tall.
Recreational maths with 138100311438336
- 138100311438336 backwards is 633834113001831
- The number of decimal digits it has is: 15
- The sum of 138100311438336's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 138100311438336 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 138100311438336 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/138100311438336/
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The information we have on file for 138100311438336 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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