138214537537440
138,214,537,537,440 is an even composite number composed of nine prime numbers multiplied together.
What does the number 138214537537440 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 1536 divisors.
138214537537440 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138214537537440:
25 × 3 × 5 × 7 × 13 × 73 × 109 × 547 × 727
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 13 × 73 × 109 × 547 × 727)See below for interesting mathematical facts about the number 138214537537440 from the Numbermatics database.
Names of 138214537537440
- Cardinal: 138214537537440 can be written as One hundred thirty-eight trillion, two hundred fourteen billion, five hundred thirty-seven million, five hundred thirty-seven thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3821453753744 × 1014
Factors of 138214537537440
Divisors of 138214537537440
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 32 35 39 40 42 48 52 56 60 65 70 73 78 80 84 91 96 104 105 109 112 120 130 140 146 156 160 168 182 195 208 210 218 219 224 240 260 273 280 292 312 327 336 364 365 390 416 420 436 438 455 480 511 520 545 546 547 560 584 624 654 672 727 728 730 763 780 840 872 876 910 949 1022 1040 1090 1092 1094 1095 1120 1168 1248 1308 1365 1417 1454 1456 1460 1526 1533 1560 1635 1641 1680 1744 1752 1820 1898 2044 2080 2180 2181 2184 2188 2190 2289 2336 2555 2616 2730 2735 2834 2847 2908 2912 2920 3052 3066 3120 3270 3282 3360 3488 3504 3635 3640 3796 3815 3829 4088 4251 4360 4362 4368 4376 4380 4578 4745 5089 5110 5232 5460 5470 5668 5694 5816 5840 6104 6132 6240 6540 6564 6643 7008 7085 7111 7270 7280 7592 7630 7658 7665 7957 8176 8205 8502 8720 8724 8736 8752 8760 9156 9451 9490 9919 10178 10220 10464 10905 10920 10940 11336 11388 11445 11487 11632 11680 12208 12264 13080 13128 13286 14170 14222 14235 14540 14560 15184 15260 15267 15316 15330 15914 16352 16410 17004 17440 17448 17504 17520 18312 18902 18980 19145 19838 19929 20356 20440 21255 21333 21810 21840 21880 22672 22776 22890 22974 23264 23871 24416 24528 25445 26160 26256 26572 28340 28353 28444 28470 29080 29757 30368 30520 30534 30632 30660 31828 32820 33215 34008 34896 35040 35555 36624 37804 37960 38290 39676 39785 39858 39931 40712 40880 42510 42666 43620 43680 43760 45344 45552 45780 45948 47255 47742 49056 49595 49777 50890 52320 52512 53071 53144 55699 56680 56706 56888 56940 57435 58160 59514 59623 61040 61068 61264 61320 63656 65640 66157 66430 68016 69792 71110 73248 75608 75920 76335 76580 79243 79352 79570 79716 79862 81424 81760 85020 85332 87240 87520 91104 91560 91896 94510 95484 99190 99554 99645 101780 103441 106142 106288 106665 111398 113360 113412 113776 113880 114870 116320 119028 119246 119355 119793 122080 122136 122528 122640 127312 131280 132314 132860 136032 141765 142220 148785 149331 151216 151840 152670 153160 158486 158704 159140 159213 159432 159724 162848 167097 170040 170664 174480 178869 183120 183792 189020 190968 198380 198471 199108 199290 199655 203560 206882 212284 212576 213330 222796 226720 226824 227552 227760 229740 237729 238056 238492 238710 239586 244272 245280 248885 254624 262560 264628 265355 265720 278495 279517 283530 284440 297570 298115 298662 302432 305340 306320 310323 316972 317408 318280 318426 318864 319448 330785 334194 340080 341328 348960 357738 366240 367584 371497 378040 381936 396215 396760 396942 397669 398216 398580 399310 407120 413764 417361 424568 426660 445592 453648 455520 459480 475458 476112 476984 477420 479172 488544 497770 517205 519103 529256 530710 531440 554701 556990 559034 567060 568880 595140 596230 597324 598965 610680 612640 620646 633944 636560 636852 637728 638896 661570 668388 680160 682656 689923 715476 724087 742994 746655 756080 763872 775099 792430 793520 793884 795338 796065 796432 797160 798620 814240 827528 834722 835485 838551 849136 853320 891184 894345 907296 918960 950916 952224 953968 954840 958344 992355 995540 1030159 1034410 1038206 1058512 1061420 1062880 1109402 1113980 1114491 1118068 1134120 1137760 1188645 1190280 1192460 1193007 1194648 1197930 1221360 1241292 1252083 1267888 1273120 1273704 1277792 1323140 1336776 1379846 1397585 1430952 1448174 1485988 1493310 1512160 1550198 1551615 1557309 1584860 1587040 1587768 1590676 1592130 1592864 1594320 1597240 1655056 1664103 1669444 1670970 1677102 1698272 1706640 1782368 1788690 1837920 1857485 1901832 1907936 1909680 1916688 1984710 1988345 1991080 2060318 2068820 2069769 2076412 2086805 2117024 2122840 2172261 2218804 2227960 2228982 2236136 2268240 2325297 2377290 2380560 2384920 2386014 2389296 2395860 2442720 2482584 2504166 2535776 2547408 2595515 2646280 2673552 2759692 2773505 2783683 2795170 2861904 2896348 2971976 2986620 3090477 3100396 3103230 3114618 3169720 3175536 3181352 3184260 3188640 3194480 3310112 3328206 3338888 3341940 3354204 3413280 3449615 3577380 3620435 3633721 3714970 3803664 3819360 3833376 3875495 3969420 3976690 3982160 4120636 4137640 4139538 4152824 4173610 4192755 4245680 4344522 4352479 4437608 4455920 4457964 4472272 4536480 4650594 4754580 4761120 4769840 4772028 4778592 4791720 4829461 4965168 5008332 5094816 5150795 5169697 5191030 5292560 5347104 5425693 5519384 5547010 5567366 5572455 5590340 5723808 5784739 5792696 5943952 5965035 5973240 6180954 6200792 6206460 6229236 6260415 6339440 6351072 6362704 6368520 6388960 6656412 6677776 6683880 6708408 6899230 7154760 7211113 7240870 7267442 7429940 7607328 7750990 7786545 7938840 7953380 7964320 8241272 8275280 8279076 8305648 8320515 8347220 8351049 8385510 8491360 8689044 8704958 8875216 8911840 8915928 8944544 9301188 9509160 9539680 9544056 9583440 9658922 9930336 10016664 10301590 10339394 10348845 10382060 10585120 10851386 10861305 10901163 11038768 11094020 11134732 11144910 11180680 11569478 11585392 11626485 11887904 11930070 11946480 12361908 12401584 12412920 12458472 12520830 12678880 12725408 12737040 13057437 13312824 13355552 13367760 13416816 13798460 13918415 14309520 14422226 14481740 14488383 14534884 14859880 15452385 15501980 15509091 15573090 15877680 15906760 16277079 16482544 16550560 16558152 16611296 16641030 16694440 16702098 16771020 17354217 17378088 17409916 17750432 17831856 18168605 18602376 19018320 19088112 19166880 19317844 20033328 20603180 20678788 20697690 20764120 21633339 21702772 21722610 21762395 21802326 22077536 22188040 22269464 22289820 22361360 23138956 23170784 23252970 23860140 23892960 24147305 24723816 24803168 24825840 24916944 25041660 25474080 25848485 26114874 26625648 26735520 26833632 27128465 27596920 27836830 28619040 28844452 28923695 28963480 28976766 29029837 29069768 29719760 30467353 30904770 31003960 31018182 31146180 31755360 31813520 32554158 32965088 33116304 33282060 33388880 33404196 33542040 34708434 34756176 34819832 35663712 36055565 36187879 36337210 37204752 38036640 38176224 38635688 40066656 40493173 41206360 41357576 41395380 41528240 41755245 43266678 43345921 43405544 43445220 43524790 43604652 44376080 44538928 44579640 44722720 46277912 46505940 47720280 48294610 49447632 49651680 49833888 50083320 51696970 52229748 53251296 54256930 54505815 55193840 55673660 56582227 57688904 57847390 57926960 57953532 58059674 58139536 59439520 60934706 61809540 62007920 62036364 62292360 63627040 65108316 65287185 66232608 66564120 66777760 66808392 67084080 69416868 69512352 69639664 72111130 72375758 72441915 72674420 74409504 75201607 77271376 77545455 80986346 81385395 82412720 82715152 82790760 83056480 83510490 86533356 86691842 86771085 86811088 86890440 87049580 87089511 87209304 88752160 89077856 89159280 91402059 92555824 93011880 95440560 96589220 98895264 100166640 103393940 104459496 108166695 108513860 108563637 109011630 110387680 111347320 113164454 115377808 115694780 115853920 115907064 116119348 116279072 121479519 121869412 123619080 124015840 124072728 124584720 130037763 130216632 130574370 133128240 133616784 134168160 138833736 139279328 144222260 144751516 144883830 145149185 145348840 150403214 152336765 154542752 155090910 161972692 162770790 164825440 165430304 165581520 167020980 169746681 173066712 173383684 173542170 173622176 173780880 174099160 174179022 174418608 178318560 180939395 182804118 185111648 186023760 190881120 193178440 200333280 202465865 203208859 206787880 208918992 216333390 216729605 217027720 217127274 218023260 222694640 225604821 226328908 230755616 231389560 231814128 232238696 242959038 243738824 247238160 248145456 249169440 260075526 260433264 261148740 266256480 267233568 277667472 282911135 288444520 289503032 289767660 290298370 290697680 300806428 303421447 304673530 310181820 323945384 325541580 331163040 334041960 339493362 346133424 346767368 347084340 347561760 348198320 348358044 348837216 361878790 365608236 372047520 376008035 377387881 386356880 396075589 404931730 406417718 413575760 417837984 432666780 433459210 434055440 434254548 435447555 436046520 445389280 451209642 452657816 457010295 462779120 463628256 464477392 485918076 487477648 494476320 496290912 520151052 520866528 522297480 526411249 542818185 555334944 563496973 565822270 576889040 579006064 579535320 580596740 581395360 601612856 606842894 607397595 609347060 609626577 620363640 647890768 650188815 651083160 668083920 678986724 692266848 693534736 694168680 696396640 696716088 723757580 731216472 752016070 754775762 772713760 792151178 809863460 812835436 827151520 848733405 865333560 866918420 868110880 868509096 870895110 872093040 902419284 905315632 910264341 914020590 925558240 928954784 971836152 974955296 1016044295 1040302104 1044594960 1052822498 1085636370 1126993946 1128024105 1131644540 1132163643 1153778080 1158012128 1159070640 1161193480 1188226767 1203225712 1213685788 1214795190 1218694120 1219253154 1240727280 1295781536 1300377630 1302166320 1336167840 1357973448 1387069472 1388337360 1393432176 1447515160 1462432944 1504032140 1509551524 1517107235 1579233747 1584302356 1619726920 1625670872 1690490919 1697466810 1730667120 1733836840 1737018192 1741790220 1744186080 1804838568 1810631264 1820528682 1828041180 1886939405 1943672304 1980377945 2032088590 2080604208 2089189920 2105644996 2171272740 2253987892 2256048210 2263289080 2264327286 2318141280 2322386960 2376453534 2406451424 2427371576 2429590380 2437388240 2438506308 2481454560 2600755260 2604332640 2632056245 2641715167 2715946896 2776674720 2786864352 2817484865 2895030320 2924865888 3008064280 3019103048 3034214470 3048132885 3158467494 3164252233 3168604712 3239453840 3251341744 3380981838 3394933620 3461334240 3467673680 3474036384 3483580440 3609677136 3641057364 3656082360 3773878810 3887344608 3944478811 3960755890 4064177180 4161208416 4211289992 4342545480 4507975784 4512096420 4526578160 4528654572 4551321705 4644773920 4752907068 4854743152 4859180760 4874776480 4877012616 5201510520 5264112490 5283430334 5431893792 5634969730 5660818215 5790060640 5941133835 6016128560 6038206096 6068428940 6096265770 6316934988 6328504466 6337209424 6478907680 6502683488 6761963676 6789867240 6935347360 6967160880 7219354272 7282114728 7312164720 7547757620 7888957622 7896168735 7921511780 7925145501 8128354360 8422579984 8452454595 8685090960 9015951568 9024192840 9053156320 9057309144 9102643410 9492756699 9505814136 9709486304 9718361520 9754025232 10403021040 10528224980 10566860668 11269939460 11321636430 11833436433 11882267670 12032257120 12076412192 12136857880 12192531540 12633869976 12657008932 12674418848 13208575835 13523927352 13579734480 13934321760 14564229456 14624329440 15095515240 15777915244 15792337470 15821261165 15843023560 15850291002 16256708720 16845159968 16904909190 17370181920 18031903136 18048385680 18114618288 18205286820 18985513398 19011628272 19436723040 19508050464 19722394055 20806042080 21056449960 21133721336 22149765631 22539878920 22643272860 23666872866 23764535340 24273715760 24385063080 25267739952 25314017864 26417151670 27047854704 27159468960 29128458912 30191030480 31555830488 31584674940 31642522330 31686047120 31700582004 32513417440 33809818380 36096771360 36229236576 36410573640 37971026796 38023256544 39444788110 39625727505 41135279029 42112899920 42267442672 44299531262 45079757840 45286545720 47333745732 47463783495 47529070680 48547431520 48770126160 50535479904 50628035728 52834303340 54095709408 59167182165 60382060960 63111660976 63169349880 63285044660 63372094240 63401164008 66449296893 67619636760 72821147280 75942053592 78889576220 79251455010 82270558058 84225799840 84534885344 88599062524 90159515680 90573091440 94667491464 94927566990 95058141360 97540252320 101256071456 105668606680 110748828155 118334364330 123405837087 126223321952 126338699760 126570089320 126802328016 132898593786 135239273520 145642294560 151884107184 157779152440 158502910020 164541116116 177198125048 181146182880 189334982928 189855133980 190116282720 205676395145 211337213360 221497656310 236668728660 246811674174 252677399520 253140178640 253604656032 265797187572 270478547040 287946953203 303768214368 315558304880 317005820040 329082232232 332246484465 354396250096 378669965856 379710267960 411352790290 422674426720 442995312620 473337457320 493623348348 506280357280 531594375144 575893906406 617029185435 631116609760 634011640080 658164464464 664492968930 708792500192 759420535920 822705580580 863840859609 885990625240 946674914640 987246696696 1063188750288 1151787812812 1234058370870 1268023280160 1316328928928 1328985937860 1439734766015 1518841071840 1645411161160 1727681719218 1771981250480 1893349829280 1974493393392 2126377500576 2303575625624 2468116741740 2657971875720 2879469532030 3290822322320 3455363438436 3543962500960 3948986786784 4319204298045 4607151251248 4936233483480 5315943751440 5758939064060 6581644644640 6910726876872 8638408596090 9214302502496 9872466966960 10631887502880 11517878128120 13821453753744 17276817192180 19744933933920 23035756256240 27642907507488 34553634384360 46071512512480 69107268768720 138214537537440
- Sum of all divisors σ(n): 549928410071040
- Sum of proper divisors (its aliquot sum) s(n): 411713872533600
- 138214537537440 is an abundant number, because the sum of its proper divisors (411713872533600) is greater than itself. Its abundance is 273499334996160
Bases of 138214537537440
- Binary: 111110110110100100101000110100110100111101000002
- Hexadecimal: 0x7DB49469A7A0
- Base-36: 1CZQVR20TC
Squares and roots of 138214537537440
- 138214537537440 squared (1382145375374402) is 19103258386688410819401753600
- 138214537537440 cubed (1382145375374403) is 2640348023374360852011223501591361654784000
-
The
square root of 138214537537440 is 11756467.9022842569 -
The
cube root of 138214537537440 is 51703.2577586221
Scales and comparisons
How big is 138214537537440?- 138,214,537,537,440 seconds is equal to 4,394,794 years, 39 weeks, 6 days, 13 hours, 44 minutes.
-
To count from 1 to 138,214,537,537,440 would take you about ten million, nine hundred eighty-six thousand, nine hundred eighty-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 138214537537440 cubic inches would be around 4308.6 feet tall.
Recreational maths with 138214537537440
- 138214537537440 backwards is 044735735412831
- The number of decimal digits it has is: 15
- The sum of 138214537537440's digits is 57
- More coming soon!
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Cite this page
MLA style:
"Number 138214537537440 - Facts about the integer". Numbermatics.com. 2024. Web. 25 September 2024.
APA style:
Numbermatics. (2024). Number 138214537537440 - Facts about the integer. Retrieved 25 September 2024, from https://numbermatics.com/n/138214537537440/
Chicago style:
Numbermatics. 2024. "Number 138214537537440 - Facts about the integer". https://numbermatics.com/n/138214537537440/
The information we have on file for 138214537537440 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 138214537537440, math, Factors of 138214537537440, curriculum, school, college, exams, university, Prime factorization of 138214537537440, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, two hundred fourteen billion, five hundred thirty-seven million, five hundred thirty-seven thousand, four hundred forty.