138004768474260480
138,004,768,474,260,480 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138004768474260480 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1056 divisors.
138004768474260480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 138004768474260480:
210 × 32 × 5 × 13 × 17 × 131071 × 103391
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 17 × 131071 × 103391)See below for interesting mathematical facts about the number 138004768474260480 from the Numbermatics database.
Names of 138004768474260480
- Cardinal: 138004768474260480 can be written as One hundred thirty-eight quadrillion, four trillion, seven hundred sixty-eight billion, four hundred seventy-four million, two hundred sixty thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3800476847426048 × 1017
Factors of 138004768474260480
Divisors of 138004768474260480
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 26 30 32 34 36 39 40 45 48 51 52 60 64 65 68 72 78 80 85 90 96 102 104 117 120 128 130 136 144 153 156 160 170 180 192 195 204 208 221 234 240 255 256 260 272 288 306 312 320 340 360 384 390 408 416 442 468 480 510 512 520 544 576 585 612 624 640 663 680 720 765 768 780 816 832 884 936 960 1020 1024 1040 1088 1105 1152 1170 1224 1248 1280 1326 1360 1440 1530 1536 1560 1632 1664 1768 1872 1920 1989 2040 2080 2176 2210 2304 2340 2448 2496 2560 2652 2720 2880 3060 3072 3120 3264 3315 3328 3536 3744 3840 3978 4080 4160 4352 4420 4608 4680 4896 4992 5120 5304 5440 5760 6120 6240 6528 6630 6656 7072 7488 7680 7956 8160 8320 8704 8840 9216 9360 9792 9945 9984 10608 10880 11520 12240 12480 13056 13260 13312 14144 14976 15360 15912 16320 16640 17408 17680 18720 19584 19890 19968 21216 21760 23040 24480 24960 26112 26520 28288 29952 31824 32640 33280 35360 37440 39168 39780 39936 42432 43520 46080 48960 49920 52224 53040 56576 59904 63648 65280 66560 70720 74880 78336 79560 84864 87040 97920 99840 103391 106080 113152 119808 127296 130560 131071 141440 149760 156672 159120 169728 195840 199680 206782 212160 226304 254592 261120 262142 282880 299520 310173 318240 339456 391680 393213 413564 424320 509184 516955 524284 565760 599040 620346 636480 655355 678912 783360 786426 827128 848640 930519 1018368 1033910 1048568 1131520 1179639 1240692 1272960 1310710 1344083 1550865 1572852 1654256 1697280 1703923 1757647 1861038 1966065 2036736 2067820 2097136 2228207 2359278 2481384 2545920 2621420 2688166 3101730 3145704 3308512 3394560 3407846 3515294 3722076 3932130 4032249 4135640 4194272 4456414 4652595 4718556 4962768 5091840 5111769 5242840 5272941 5376332 5898195 6203460 6291408 6617024 6684621 6720415 6815692 7030588 7444152 7864260 8064498 8271280 8388544 8519615 8788235 8912828 9305190 9437112 9925536 10183680 10223538 10485680 10545882 10752664 11141035 11796390 12096747 12406920 12582816 13234048 13369242 13440830 13631384 14061176 14888304 15335307 15728520 15818823 16128996 16542560 16777088 17039230 17576470 17825656 18610380 18874224 19851072 20053863 20161245 20447076 20971360 21091764 21505328 22282070 22849411 23592780 24193494 24813840 25165632 25558845 26364705 26468096 26738484 26881660 27262768 28122352 28966691 29776608 30670614 31457040 31637646 32257992 33085120 33423105 33554176 34078460 35152940 35651312 37220760 37748448 39702144 40107726 40322490 40894152 41942720 42183528 43010656 44564140 45698822 47185560 48386988 49627680 50331264 51117690 52729410 52936192 53476968 53763320 54525536 56244704 57933382 59553216 60483735 61341228 62914080 63275292 64515984 66170240 66846210 67108352 68156920 68548233 70305880 71302624 74441520 75496896 76676535 79094115 79404288 80215452 80644980 81788304 83885440 84367056 86021312 86900073 89128280 91397644 94371120 96773976 99255360 100269315 100662528 102235380 105458820 105872384 106953936 107526640 109051072 112489408 114247055 115866764 119106432 120967470 122682456 125828160 126550584 129031968 132340480 133692420 134216704 136313840 137096466 140611760 142605248 144833455 148883040 150993792 153353070 158188230 158808576 160430904 161289960 163576608 167770880 168734112 172042624 173800146 178256560 182795288 188742240 193547952 198510720 200538630 201325056 204470760 205644699 210917640 213907872 215053280 218102144 224978816 228494110 231733528 238212864 241934940 245364912 251656320 253101168 258063936 260700219 264680960 267384840 272627680 274192932 281223520 285210496 289666910 297766080 301987584 306706140 316376460 317617152 320861808 322579920 327153216 335541760 337468224 342741165 344085248 347600292 356513120 365590576 377484480 387095904 397021440 401077260 402650112 408941520 411289398 421835280 427815744 430106560 434500365 436204288 449957632 456988220 463467056 476425728 483869880 490729824 503312640 506202336 516127872 521400438 529361920 534769680 545255360 548385864 562447040 570420992 579333820 595532160 603975168 613412280 632752920 641723616 645159840 654306432 671083520 674936448 685482330 688170496 695200584 713026240 731181152 754968960 774191808 794042880 802154520 817883040 822578796 843670560 855631488 860213120 869000730 872408576 899915264 913976440 926934112 952851456 967739760 981459648 1006625280 1012404672 1028223495 1032255744 1042800876 1069539360 1090510720 1096771728 1124894080 1140841984 1158667640 1191064320 1207950336 1226824560 1265505840 1283447232 1290319680 1303501095 1308612864 1349872896 1370964660 1376340992 1390401168 1426052480 1462362304 1509937920 1548383616 1588085760 1604309040 1635766080 1645157592 1687341120 1711262976 1720426240 1738001460 1744817152 1799830528 1827952880 1853868224 1935479520 1962919296 2013250560 2024809344 2056446990 2064511488 2085601752 2139078720 2181021440 2193543456 2249788160 2281683968 2317335280 2382128640 2453649120 2531011680 2566894464 2580639360 2607002190 2617225728 2699745792 2741929320 2780802336 2852104960 2924724608 3019875840 3096767232 3208618080 3271532160 3290315184 3374682240 3422525952 3440852480 3476002920 3655905760 3707736448 3870959040 3925838592 4049618688 4112893980 4129022976 4171203504 4278157440 4362042880 4387086912 4499576320 4634670560 4764257280 4907298240 5062023360 5133788928 5161278720 5214004380 5234451456 5399491584 5483858640 5561604672 5704209920 5849449216 6039751680 6193534464 6417236160 6543064320 6580630368 6749364480 6845051904 6881704960 6952005840 7311811520 7415472896 7741918080 7851677184 8099237376 8225787960 8342407008 8556314880 8724085760 8774173824 8999152640 9269341120 9814596480 10124046720 10267577856 10322557440 10428008760 10967717280 11123209344 11408419840 11698898432 12387068928 12834472320 13086128640 13161260736 13498728960 13551561761 13904011680 14623623040 14830945792 15483836160 15703354368 16198474752 16451575920 16684814016 17112629760 17548347648 18538682240 19629192960 20248093440 20535155712 20645114880 20856017520 21935434560 22246418688 23397796864 25668944640 26172257280 26322521472 26997457920 27103123522 27808023360 29247246080 29661891584 30967672320 32903151840 33369628032 34225259520 35096695296 37077364480 39258385920 40496186880 40654685283 41712035040 43870869120 44492837376 51337889280 52645042944 54206247044 55616046720 58494492160 61935344640 65806303680 66739256064 67757808805 70193390592 74154728960 78516771840 80992373760 81309370566 83424070080 87741738240 88985674752 102675778560 105290085888 108412494088 111232093440 116988984320 121964055849 131612607360 133478512128 135515617610 148309457920 162618741132 166848140160 175483476480 176170302893 203273426415 210580171776 216824988176 222464186880 230376549937 243928111698 263225214720 266957024256 271031235220 325237482264 333696280320 350966952960 352340605786 406546852830 433649976352 444928373760 460753099874 487856223396 526450429440 528510908679 542062470440 609820279245 650474964528 667392560640 691129649811 704681211572 813093705660 867299952704 880851514465 921506199748 975712446792 1052900858880 1057021817358 1084124940880 1151882749685 1219640558490 1300949929056 1334785121280 1382259299622 1409362423144 1585532726037 1626187411320 1734599905408 1761703028930 1843012399496 1951424893584 2073388949433 2114043634716 2168249881760 2303765499370 2439281116980 2601899858112 2642554543395 2764518599244 2818724846288 2994895149181 3171065452074 3252374822640 3455648249055 3469199810816 3523406057860 3686024798992 3902849787168 4146777898866 4228087269432 4336499763520 4607530998740 4878562233960 5203799716224 5285109086790 5529037198488 5637449692576 5989790298362 6342130904148 6504749645280 6911296498110 6938399621632 7046812115720 7372049597984 7805699574336 7927663630185 8293555797732 8456174538864 8672999527040 8984685447543 9215061997480 9757124467920 10366944747165 10407599432448 10570218173580 11058074396976 11274899385152 11979580596724 12684261808296 13009499290560 13822592996220 13876799243264 14093624231440 14744099195968 14974475745905 15611399148672 15855327260370 16587111595464 16912349077728 17345999054080 17969370895086 18430123994960 19514248935840 20733889494330 20815198864896 21140436347160 22116148793952 22549798770304 23959161193448 25368523616592 26018998581120 26954056342629 27645185992440 28187248462880 29488198391936 29948951491810 31222798297344 31710654520740 33174223190928 33824698155456 34691998108160 35938741790172 36860247989920 39028497871680 41467778988660 41630397729792 42280872694320 44232297587904 44923427237715 45099597540608 47918322386896 50737047233184 52037997162240 53908112685258 55290371984880 56374496925760 58976396783872 59897902983620 62445596594688 63421309041480 66348446381856 67649396310912 69383996216320 71877483580344 73720495979840 78056995743360 82935557977320 84561745388640 88464595175808 89846854475430 90199195081216 95836644773792 101474094466368 104075994324480 107816225370516 110580743969760 112748993851520 117952793567744 119795805967240 124891193189376 126842618082960 132696892763712 134770281713145 135298792621824 143754967160688 147440991959680 156113991486720 165871115954640 169123490777280 176929190351616 179693708950860 180398390162432 191673289547584 202948188932736 208151988648960 215632450741032 221161487939520 225497987703040 235905587135488 239591611934480 253685236165920 265393785527424 269540563426290 270597585243648 287509934321376 294881983919360 312227982973440 331742231909280 338246981554560 353858380703232 359387417901720 383346579095168 405896377865472 431264901482064 442322975879040 450995975406080 479183223868960 507370472331840 530787571054848 539081126852580 541195170487296 575019868642752 589763967838720 624455965946880 663484463818560 676493963109120 707716761406464 718774835803440 766693158190336 811792755730944 862529802964128 884645951758080 901991950812160 958366447737920 1014740944663680 1061575142109696 1078162253705160 1150039737285504 1179527935677440 1326968927637120 1352987926218240 1437549671606880 1533386316380672 1623585511461888 1725059605928256 1769291903516160 1916732895475840 2029481889327360 2123150284219392 2156324507410320 2300079474571008 2653937855274240 2705975852436480 2875099343213760 3066772632761344 3450119211856512 3538583807032320 3833465790951680 4058963778654720 4312649014820640 4600158949142016 5307875710548480 5750198686427520 6900238423713024 7666931581903360 8117927557309440 8625298029641280 9200317898284032 10615751421096960 11500397372855040 13800476847426048 15333863163806720 17250596059282560 23000794745710080 27600953694852096 34501192118565120 46001589491420160 69002384237130240 138004768474260480
- Sum of all divisors σ(n): 545267796167098368
- Sum of proper divisors (its aliquot sum) s(n): 407263027692837888
- 138004768474260480 is an abundant number, because the sum of its proper divisors (407263027692837888) is greater than itself. Its abundance is 269258259218577408
Bases of 138004768474260480
- Binary: 1111010100100101010011011000100100011011111100100000000002
- Hexadecimal: 0x1EA4A9B1237E400
- Base-36: 11QULVES1KW0
Squares and roots of 138004768474260480
- 138004768474260480 squared (1380047684742604802) is 19045316121634239252860282889830400
- 138004768474260480 cubed (1380047684742604803) is 2628344441885233734545469369121773047613952622592000
-
The
square root of 138004768474260480 is 371489930.5152973861 -
The
cube root of 138004768474260480 is 516770.8772940017
Scales and comparisons
How big is 138004768474260480?- 138,004,768,474,260,480 seconds is equal to 4,388,124,760 years, 36 weeks, 4 days, 12 hours, 48 minutes.
-
To count from 1 to 138,004,768,474,260,480 would take you about thirteen billion, one hundred sixty-four million, three hundred seventy-four thousand, two hundred eighty-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 138004768474260480 cubic inches would be around 43064.2 feet tall.
Recreational maths with 138004768474260480
- 138004768474260480 backwards is 084062474867400831
- 138004768474260480 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138004768474260480's digits is 72
- More coming soon!
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"Number 138004768474260480 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 138004768474260480 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/138004768474260480/
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The information we have on file for 138004768474260480 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 138004768474260480, math, Factors of 138004768474260480, curriculum, school, college, exams, university, Prime factorization of 138004768474260480, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, four trillion, seven hundred sixty-eight billion, four hundred seventy-four million, two hundred sixty thousand, four hundred eighty.