138223957254462720
138,223,957,254,462,720 is an even composite number composed of five prime numbers multiplied together.
What does the number 138223957254462720 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1440 divisors.
138223957254462720 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138223957254462720:
28 × 33 × 5 × 314 × 1633
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 31 × 31 × 31 × 31 × 163 × 163 × 163)See below for interesting mathematical facts about the number 138223957254462720 from the Numbermatics database.
Names of 138223957254462720
- Cardinal: 138223957254462720 can be written as One hundred thirty-eight quadrillion, two hundred twenty-three trillion, nine hundred fifty-seven billion, two hundred fifty-four million, four hundred sixty-two thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.3822395725446272 × 1017
Factors of 138223957254462720
Divisors of 138223957254462720
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 32 36 40 45 48 54 60 62 64 72 80 90 93 96 108 120 124 128 135 144 155 160 163 180 186 192 216 240 248 256 270 279 288 310 320 326 360 372 384 432 465 480 489 496 540 558 576 620 640 652 720 744 768 815 837 864 930 960 961 978 992 1080 1116 1152 1240 1280 1304 1395 1440 1467 1488 1630 1674 1728 1860 1920 1922 1956 1984 2160 2232 2304 2445 2480 2608 2790 2880 2883 2934 2976 3260 3348 3456 3720 3840 3844 3912 3968 4185 4320 4401 4464 4805 4890 4960 5053 5216 5580 5760 5766 5868 5952 6520 6696 6912 7335 7440 7688 7824 7936 8370 8640 8649 8802 8928 9610 9780 9920 10106 10432 11160 11520 11532 11736 11904 13040 13392 14415 14670 14880 15159 15376 15648 16740 17280 17298 17604 17856 19220 19560 19840 20212 20864 22005 22320 23064 23472 23808 25265 25947 26080 26569 26784 28830 29340 29760 29791 30318 30752 31296 33480 34560 34596 35208 35712 38440 39120 39680 40424 41728 43245 44010 44640 45477 46128 46944 50530 51894 52160 53138 53568 57660 58680 59520 59582 60636 61504 62592 66960 69192 70416 71424 75795 76880 78240 79707 80848 86490 88020 89280 89373 90954 92256 93888 101060 103788 104320 106276 107136 115320 117360 119040 119164 121272 123008 125184 129735 132845 133920 136431 138384 140832 148955 151590 153760 156480 156643 159414 161696 172980 176040 178560 178746 181908 184512 187776 202120 207576 208640 212552 214272 227385 230640 234720 238328 239121 242544 246016 259470 265690 267840 268119 272862 276768 281664 297910 303180 307520 312960 313286 318828 323392 345960 352080 357120 357492 363816 369024 375552 398535 404240 415152 425104 446865 454770 461280 469440 469929 476656 478242 485088 518940 531380 535680 536238 545724 553536 563328 595820 606360 615040 625920 626572 637656 646784 682155 691920 704160 714984 717363 727632 738048 783215 797070 804357 808480 823639 830304 850208 893730 909540 922560 923521 938880 939858 953312 956484 970176 1037880 1062760 1071360 1072476 1091448 1107072 1126656 1191640 1195605 1212720 1230080 1253144 1275312 1293568 1340595 1364310 1383840 1408320 1409787 1429968 1434726 1455264 1566430 1594140 1608714 1616960 1647278 1660608 1700416 1787460 1819080 1845120 1847042 1877760 1879716 1906624 1912968 1940352 2075760 2125520 2144952 2182896 2214144 2349645 2383280 2391210 2425440 2470917 2506288 2550624 2681190 2728620 2767680 2770563 2816640 2819574 2859936 2869452 2910528 3132860 3188280 3217428 3233920 3294556 3321216 3400832 3574920 3586815 3638160 3690240 3694084 3759432 3813248 3825936 3880704 4021785 4118195 4151520 4229361 4251040 4289904 4330747 4365792 4617605 4699290 4766560 4782420 4850880 4855933 4941834 5012576 5101248 5362380 5457240 5535360 5541126 5633280 5639148 5719872 5738904 5821056 6265720 6376560 6434856 6467840 6589112 6642432 6801664 7048935 7149840 7173630 7276320 7388168 7412751 7518864 7626496 7651872 8043570 8236390 8303040 8311689 8458722 8502080 8579808 8661494 8731584 9235210 9398580 9533120 9564840 9701760 9711866 9883668 10025152 10202496 10724760 10914480 11070720 11082252 11278296 11439744 11477808 11642112 12354585 12531440 12753120 12869712 12992241 13178224 13852815 14097870 14299680 14347260 14552640 14567799 14776336 14825502 15037728 15303744 16087140 16472780 16606080 16623378 16917444 17004160 17159616 17322988 17463168 18470420 18797160 19066240 19129680 19403520 19423732 19767336 20050304 20404992 21146805 21449520 21653735 21828960 22164504 22238253 22556592 22879488 22955616 24279665 24709170 24935067 25062880 25506240 25532809 25739424 25984482 26356448 27705630 28195740 28599360 28694520 29105280 29135598 29552672 29651004 30075456 30607488 32174280 32945560 33212160 33246756 33834888 34008320 34319232 34645976 34926336 36940840 37063755 37594320 38132480 38259360 38847464 38976723 39534672 40100608 41558445 42293610 42899040 43307470 43657920 43703397 44329008 44476506 45113184 45911232 48559330 49418340 49870134 50125760 51012480 51065618 51478848 51968964 52712896 55411260 56391480 57198720 57389040 58210560 58271196 59105344 59302008 60150912 61214976 64348560 64961205 65891120 66493512 67669776 68638464 69291952 72838995 73881680 74127510 75188640 76518720 76598427 77694928 77953446 79069344 83116890 84587220 85798080 86614940 87315840 87406794 88658016 88953012 90226368 91822464 97118660 98836680 99740268 100251520 102024960 102131236 102957696 103937928 105425792 110822520 111191265 112782960 114397440 114778080 116542392 116930169 118210688 118604016 120301824 124675335 127664045 128697120 129922410 131110191 131782240 132987024 134253157 135339552 138583904 145677990 147763360 148255020 150377280 150533923 153037440 153196854 155389856 155906892 158138688 166233780 169174440 171596160 173229880 174631680 174813588 177316032 177906024 180452736 183644928 194237320 194883615 197673360 199480536 200503040 204262472 205915392 207875856 210851584 218516985 221645040 222382530 225565920 229556160 229795281 233084784 233860338 236421376 237208032 249350670 255328090 257394240 259844820 262220382 263564480 265974048 268506314 270679104 277167808 291355980 295526720 296510040 300754560 301067846 306074880 306393708 310779712 311813784 316277376 332467560 338348880 343192320 346459760 349627176 354632064 355812048 360905472 382992135 388474640 389767230 395346720 398961072 402759471 408524944 415751712 437033970 443290080 444765060 451131840 451601769 459112320 459590562 466169568 467720676 474416064 498701340 510656180 514788480 519689640 524440764 527128960 531948096 537012628 541358208 554335616 582711960 584650845 591053440 593020080 601509120 602135692 612787416 621559424 623627568 632554752 655550955 664935120 671265785 676697760 689385843 692919520 699254352 709264128 711624096 752669615 765984270 776949280 779534460 790693440 791517079 797922144 805518942 817049888 831503424 874067940 886580160 889530120 902263680 903203538 918224640 919181124 932339136 935441352 948832128 997402680 1021312360 1029576960 1039379280 1048881528 1054257920 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16340997760 16630068480 16647391468 16782104448 17184404096 18064070760 18124176195 18383622480 18646782720 18708827040 18996409896 19268342144 19332454608 19609197312 20322079605 20809239335 20977630560 21370961133 21480505120 21676884912 22060346976 23745512370 24085427680 24165568260 24511496640 24537029449 24945102720 24971087202 25328546528 25776606144 27096106140 27575433720 27970174080 28464963840 28494614844 28902513216 28998681912 29413795968 29934123264 31660683160 31916885760 32220757680 32515327368 32681995520 33294782936 33564208896 34368808192 35618268555 36128141520 36248352390 36767244960 37417654080 37456630803 37992819792 38536684288 38664909216 40644159210 41618478670 41955261120 42741922266 42961010240 43353769824 44120693952 47491024740 48170855360 48331136520 49022993280 49074058898 49890205440 49942174404 50657093056 51553212288 54192212280 55150867440 55940348160 56989229688 57805026432 57997363824 58827591936 62427718005 63321366320 64441515360 65030654736 66589565872 71236537110 72256283040 72496704780 73534489920 73611088347 74835308160 74913261606 75985639584 77329818432 81288318420 83236957340 83910522240 85483844532 85922020480 86707539648 88241387904 94982049480 96341710720 96662273040 98045986560 98148117796 99884348808 101314186112 103106424576 106854805665 108384424560 110301734880 112369892409 113978459376 115610052864 115994727648 122685147245 124855436010 126642732640 128883030720 129017283877 130061309472 133179131744 142473074220 144512566080 144993409560 147068979840 147222176694 149670616320 149826523212 151971279168 154659636864 162576636840 166473914680 167821044480 170967689064 171844040960 173415079296 176482775808 187283154015 189964098960 192683421440 193324546080 196296235592 199768697616 202628372224 213709611330 216768849120 220603469760 220833265041 224739784818 227956918752 231989455296 245370294490 249710872020 253285465280 257766061440 258034567754 260122618944 266358263488 284946148440 289025132160 289986819120 294137959680 294444353388 299653046424 303942558336 309319273728 325153273680 332947829360 341935378128 346830158592 368055441735 374566308030 379928197920 386649092160 387051851631 392592471184 399537395232 427419222660 433537698240 441206939520 441666530082 449479569636 455913837504 463978910592 490740588980 499421744040 506570930560 515532122880 516069135508 520245237888 532716526976 561849462045 569892296880 578050264320 579973638240 588888706776 599306092848 607885116672 645086419385 650306547360 662499795123 665895658720 683870756256 736110883470 749132616060 759856395840 773298184320 774103703262 785184942368 799074790464 854838445320 867075396480 882413879040 883333060164 898959139272 911827675008 927957821184 981481177960 998843488080 1013141861120 1032138271016 1040490475776 1065433053952 1104166325205 1123698924090 1139784593760 1159947276480 1161155554893 1177777413552 1198612185696 1290172838770 1300613094720 1324999590246 1331791317440 1367741512512 1472221766940 1498265232120 1519712791680 1546596368640 1548207406524 1570369884736 1598149580928 1709676890640 1734150792960 1766666120328 1797918278544 1823655350016 1935259258155 1962962355920 1997686976160 2064276542032 2208332650410 2247397848180 2279569187520 2319894552960 2322311109786 2355554827104 2397224371392 2580345677540 2601226189440 2649999180492 2663582634880 2735483025024 2944443533880 2996530464240 3039425583360 3096414813048 3140739769472 3196299161856 3312498975615 3419353781280 3483466664679 3533332240656 3595836557088 3870518516310 3925924711840 3995373952320 3999535800187 4128553084064 4416665300820 4494795696360 4559138375040 4639789105920 4644622219572 4711109654208 4794448742784 5160691355080 5202452378880 5299998360984 5327165269760 5470966050048 5805777774465 5888887067760 5993060928480 6192829626096 6281479538944 6624997951230 6838707562560 6966933329358 7066664481312 7191673114176 7741037032620 7851849423680 7990747904640 7999071600374 8257106168128 8833330601640 8989591392720 9118276750080 9289244439144 9422219308416 9588897485568 10321382710160 10599996721968 11611555548930 11777774135520 11986121856960 11998607400561 12385659252192 13249995902460 13677415125120 13933866658716 14133328962624 14383346228352 15482074065240 15703698847360 15981495809280 15998143200748 16514212336256 17417333323395 17666661203280 17979182785440 18578488878288 18844438616832 19997679000935 20642765420320 21199993443936 23223111097860 23555548271040 23972243713920 23997214801122 24771318504384 26499991804920 27354830250240 27867733317432 28266657925248 28766692456704 30964148130480 31407397694720 31996286401496 33028424672512 34834666646790 35333322406560 35958365570880 35995822201683 37156977756576 39995358001870 41285530840640 42399986887872 46446222195720 47111096542080 47944487427840 47994429602244 49542637008768 52999983609840 55735466634864 56533315850496 59993037002805 61928296260960 63992572802992 69669333293580 70666644813120 71916731141760 71991644403366 74313955513152 79990716003740 82571061681280 84799973775744 92892444391440 94222193084160 95988859204488 99085274017536 105999967219680 107987466605049 111470933269728 119986074005610 123856592521920 127985145605984 139338666587160 141333289626240 143833462283520 143983288806732 148627911026304 159981432007480 165142123362560 169599947551488 179979111008415 185784888782880 191977718408976 211999934439360 215974933210098 222941866539456 239972148011220 247713185043840 255970291211968 278677333174320 282666579252480 287966577613464 297255822052608 319962864014960 359958222016830 371569777565760 383955436817952 423999868878720 431949866420196 445883733078912 479944296022440 495426370087680 511940582423936 539937333025245 557354666348640 575933155226928 639925728029920 719916444033660 743139555131520 767910873635904 847999737757440 863899732840392 891767466157824 959888592044880 1023881164847872 1079874666050490 1114709332697280 1151866310453856 1279851456059840 1439832888067320 1486279110263040 1535821747271808 1727799465680784 1919777184089760 2159749332100980 2229418665394560 2303732620907712 2559702912119680 2879665776134640 3071643494543616 3455598931361568 3839554368179520 4319498664201960 4458837330789120 4607465241815424 5119405824239360 5759331552269280 6911197862723136 7679108736359040 8638997328403920 9214930483630848 11518663104538560 13822395725446272 15358217472718080 17277994656807840 23037326209077120 27644791450892544 34555989313615680 46074652418154240 69111978627231360 138223957254462720
- Sum of all divisors σ(n): 509981877639696000
- Sum of proper divisors (its aliquot sum) s(n): 371757920385233280
- 138223957254462720 is an abundant number, because the sum of its proper divisors (371757920385233280) is greater than itself. Its abundance is 233533963130770560
Bases of 138223957254462720
- Binary: 1111010110001000111110100111011111001100111011101000000002
- Hexadecimal: 0x1EB11F4EF99DD00
- Base-36: 11T0AXCGHMO0
Squares and roots of 138223957254462720
- 138223957254462720 squared (1382239572544627202) is 19105862359083537199517355869798400
- 138223957254462720 cubed (1382239572544627203) is 2640887902031611109112001001511080702105666715648000
-
The
square root of 138223957254462720 is 371784826.5522178623 -
The
cube root of 138223957254462720 is 517044.3230702629
Scales and comparisons
How big is 138223957254462720?- 138,223,957,254,462,720 seconds is equal to 4,395,094,285 years, 47 weeks, 5 days, 19 hours, 12 minutes.
-
To count from 1 to 138,223,957,254,462,720 would take you about thirteen billion, one hundred eighty-five million, two hundred eighty-two thousand, eight hundred fifty-seven 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 138223957254462720 cubic inches would be around 43087 feet tall.
Recreational maths with 138223957254462720
- 138223957254462720 backwards is 027264452759322831
- 138223957254462720 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138223957254462720's digits is 72
- More coming soon!
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"Number 138223957254462720 - Facts about the integer". Numbermatics.com. 2024. Web. 20 September 2024.
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Numbermatics. (2024). Number 138223957254462720 - Facts about the integer. Retrieved 20 September 2024, from https://numbermatics.com/n/138223957254462720/
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Numbermatics. 2024. "Number 138223957254462720 - Facts about the integer". https://numbermatics.com/n/138223957254462720/
The information we have on file for 138223957254462720 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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