138214234080
138,214,234,080 is an even composite number composed of eight prime numbers multiplied together.
138214234080 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138214234080:
25 × 32 × 5 × 13 × 31 × 37 × 41 × 157
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 31 × 37 × 41 × 157)See below for interesting mathematical facts about the number 138214234080 from the Numbermatics database.
Names of 138214234080
- Cardinal: 138214234080 can be written as One hundred thirty-eight billion, two hundred fourteen million, two hundred thirty-four thousand and eighty.
Scientific notation
- Scientific notation: 1.3821423408 × 1011
Factors of 138214234080
Divisors of 138214234080
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 31 32 36 37 39 40 41 45 48 52 60 62 65 72 74 78 80 82 90 93 96 104 111 117 120 123 124 130 144 148 155 156 157 160 164 180 185 186 195 205 208 222 234 240 246 248 260 279 288 296 310 312 314 328 333 360 369 370 372 390 403 410 416 444 465 468 471 480 481 492 496 520 533 555 558 585 592 615 620 624 628 656 666 720 738 740 744 780 785 806 820 888 930 936 942 962 984 992 1040 1066 1110 1116 1147 1170 1184 1209 1230 1240 1248 1256 1271 1312 1332 1395 1413 1440 1443 1476 1480 1488 1517 1560 1570 1599 1612 1640 1665 1776 1845 1860 1872 1884 1924 1968 2015 2041 2080 2132 2220 2232 2294 2340 2355 2405 2418 2460 2480 2512 2542 2664 2665 2790 2826 2886 2952 2960 2976 3034 3120 3140 3198 3224 3280 3330 3441 3552 3627 3690 3720 3744 3768 3813 3848 3936 4030 4082 4264 4329 4440 4464 4551 4588 4680 4710 4797 4810 4836 4867 4920 4960 5024 5084 5328 5330 5580 5652 5735 5772 5809 5904 5920 6045 6068 6123 6240 6280 6355 6396 6437 6448 6560 6660 6882 7065 7215 7254 7380 7440 7536 7585 7626 7696 7995 8060 8164 8528 8658 8880 8928 9102 9176 9360 9420 9594 9620 9672 9734 9840 10168 10205 10323 10656 10660 11160 11304 11439 11470 11544 11618 11808 12090 12136 12246 12560 12710 12792 12874 12896 13320 13653 13764 14130 14430 14508 14601 14760 14880 14911 15072 15170 15252 15392 15990 16120 16328 16523 17056 17205 17316 17427 17760 18135 18204 18352 18369 18720 18840 19065 19188 19240 19311 19344 19468 19680 19721 20336 20410 20646 21320 21645 22320 22608 22755 22878 22940 23088 23236 23985 24180 24272 24335 24492 25120 25420 25584 25748 26640 27306 27528 28260 28860 29016 29045 29202 29520 29822 30340 30504 30615 31980 32185 32240 32656 33046 34410 34632 34854 36270 36408 36704 36738 37680 38130 38376 38480 38622 38688 38936 39442 40672 40820 41292 42640 43290 43803 44640 44733 45216 45510 45756 45880 46176 46472 47027 47970 48360 48544 48670 48984 49569 50840 51168 51496 51615 52281 53280 54612 55056 56520 57195 57720 57933 58032 58090 58404 59040 59163 59644 60680 61008 61230 63271 63960 64370 64480 65312 66092 68265 68820 69264 69708 72540 72816 73005 73476 74555 75360 75517 76260 76752 76960 77244 77872 78884 81640 82584 82615 83681 85280 86580 87135 87606 89466 91020 91512 91760 91845 92944 94054 95940 96555 96720 97340 97968 98605 99138 101680 102992 103230 104562 109224 110112 113040 114390 115440 115866 116064 116180 116808 118326 119288 121360 122016 122460 126542 127920 128740 132184 134199 136530 137640 138528 139416 141081 145080 145632 146010 146952 148707 149110 151034 152520 153504 154488 155744 157768 163280 165168 165230 167362 173160 174270 175212 177489 178932 180079 182040 183024 183520 183690 185888 188108 189813 191880 193110 193440 194680 195936 197210 198276 199547 203360 205984 206460 209124 218448 219015 223665 226080 226551 228780 230880 231732 232360 233616 235135 236652 238169 238576 242720 244920 247845 251043 253084 255840 257480 261405 264368 268398 273060 275280 278832 282162 289665 290160 292020 293904 295815 297414 298220 302068 305040 308976 315536 316355 326560 330336 330460 334724 346320 348540 350424 354978 357864 360158 364080 366048 367380 376216 377585 379626 383760 386220 389360 394420 396552 399094 412920 418248 418405 423243 436896 438030 447330 453102 457560 463464 464720 467232 470270 473304 476338 477152 489840 495690 502086 506168 514960 522810 528736 536796 540237 546120 550560 557664 564324 569439 579330 580320 584040 587808 591630 594828 596440 598641 604136 610080 611351 617952 631072 632710 660920 669448 670995 679653 692640 697080 700848 705405 709956 714507 715728 720316 728160 734760 743535 752432 753129 755170 759252 767520 772440 778720 788840 793104 798188 825840 836496 836810 846486 876060 887445 894660 900395 906204 915120 926928 929440 940540 946608 949065 952676 979680 991380 997735 1004172 1012336 1029920 1045620 1073592 1080474 1092240 1128648 1132755 1138878 1158660 1168080 1183260 1189656 1190845 1192880 1197282 1208272 1222702 1255215 1265420 1321840 1338896 1341990 1359306 1394160 1401696 1410810 1419912 1429014 1431456 1440632 1469520 1487070 1504864 1506258 1510340 1518504 1544880 1577680 1586208 1596376 1620711 1651680 1672992 1673620 1692972 1752120 1774890 1789320 1795923 1800790 1812408 1830240 1834053 1853856 1881080 1893216 1898130 1905352 1982760 1995470 2008344 2024672 2091240 2116215 2143521 2147184 2160948 2184480 2257296 2265510 2277756 2317320 2336160 2341027 2366520 2379312 2381690 2385760 2394564 2416544 2445404 2510430 2530840 2594111 2643680 2677792 2683980 2701185 2718612 2788320 2821620 2839824 2847195 2858028 2881264 2939040 2974140 2993205 3012516 3020680 3037008 3056755 3089760 3096197 3155360 3192752 3241422 3347240 3385944 3398265 3504240 3549780 3572535 3578640 3591846 3601580 3624816 3668106 3762160 3765645 3796260 3810704 3965520 3990940 4016688 4182480 4232430 4287042 4294368 4321896 4514592 4531020 4555512 4634640 4682054 4733040 4758624 4763380 4789128 4890808 5020860 5061680 5188222 5367960 5402370 5437224 5502159 5643240 5679648 5694390 5716056 5762528 5948280 5986410 6025032 6041360 6074016 6113510 6192394 6385504 6482844 6694480 6771888 6796530 7008480 7023081 7099560 7145070 7157280 7183692 7203160 7249632 7336212 7383239 7524320 7531290 7592520 7621408 7782333 7931040 7981880 8033376 8103555 8364960 8464860 8574084 8643792 8979615 9062040 9111024 9170265 9269280 9288591 9364108 9466080 9526760 9578256 9781616 10041720 10123360 10376444 10717605 10735920 10804740 10874448 11004318 11286480 11388780 11432112 11705135 11896560 11972820 12050064 12082720 12227020 12384788 12965688 12970555 13388960 13543776 13593060 14046162 14199120 14290140 14367384 14406320 14672424 14766478 15062580 15185040 15480985 15564666 15963760 16207110 16929720 17148168 17287584 17959230 18124080 18222048 18340530 18577182 18728216 19053520 19156512 19563232 20083440 20752888 21069243 21435210 21471840 21609480 21748896 22008636 22149717 22572960 22777560 22864224 23346999 23410270 23793120 23945640 24100128 24454040 24769576 25931376 25941110 27186120 27510795 27865773 28092324 28398240 28580280 28734768 28812640 29344848 29532956 30125160 30370080 30961970 31129332 31927520 32414220 33859440 34296336 35115405 35918460 36248160 36681060 36916195 37154364 37456432 38107040 38911665 40166880 41505776 42138486 42870420 43218960 44017272 44299434 45555120 46442955 46693998 46820540 47891280 48908080 49539152 51862752 51882220 54372240 55021590 55731546 56184648 57160560 57469536 58689696 59065912 60250320 61923940 62258664 64828440 66449151 67718880 68592672 70230810 71836920 73362120 73832390 74308728 74912864 77823330 83011552 84276972 85740840 86437920 88034544 88598868 91110240 92885910 93387996 93641080 95782560 95982107 97816160 99078304 103764440 105346215 108744480 110043180 110748585 111463092 112369296 114321120 116734995 118131824 120500640 123847880 124517328 129656880 132898302 139328865 140461620 143673840 146724240 147664780 148617456 155646660 168553944 171481680 176069088 177197736 185771820 186775992 187282160 191964214 207528880 210692430 220086360 221497170 222926184 224738592 233469990 236263648 247695760 249034656 259313760 265796604 278657730 280923240 287347680 287946321 293448480 295329560 297234912 311293320 332245755 337107888 342963360 354395472 371543640 373551984 374564320 383928428 415057760 421384860 440172720 442994340 445852368 466939980 479910535 495391520 531593208 557315460 561846480 575892642 590659120 622586640 664491510 674215776 708790944 743087280 747103968 767856856 842769720 863838963 880345440 885988680 891704736 933879960 959821070 1063186416 1114630920 1123692960 1151785284 1181318240 1245173280 1328983020 1439731605 1486174560 1535713712 1685539440 1727677926 1771977360 1867759920 1919642140 2126372832 2229261840 2303570568 2657966040 2879463210 3071427424 3371078880 3455355852 3543954720 3735519840 3839284280 4319194815 4458523680 4607141136 5315932080 5758926420 6910711704 7678568560 8638389630 9214282272 10631864160 11517852840 13821423408 15357137120 17276779260 23035705680 27642846816 34553558520 46071411360 69107117040 138214234080
- Sum of all divisors σ(n): 555140791296
- Sum of proper divisors (its aliquot sum) s(n): 416926557216
- 138214234080 is an abundant number, because the sum of its proper divisors (416926557216) is greater than itself. Its abundance is 278712323136
Bases of 138214234080
- Binary: 100000001011100011010111010111111000002
- Hexadecimal: 0x202E35D7E0
- Base-36: 1RHT6PK0
Squares and roots of 138214234080
- 138214234080 squared (1382142340802) is 19103174502321033446400
- 138214234080 cubed (1382142340803) is 2640330632334886820068238733312000
-
The
square root of 138214234080 is 371771.7499757075 -
The
cube root of 138214234080 is 5170.3219919499
Scales and comparisons
How big is 138214234080?- 138,214,234,080 seconds is equal to 4,394 years, 40 weeks, 5 days, 18 hours, 48 minutes.
-
To count from 1 to 138,214,234,080 would take you about eight thousand, seven hundred eighty-nine 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 138214234080 cubic inches would be around 430.9 feet tall.
Recreational maths with 138214234080
- 138214234080 backwards is 080432412831
- 138214234080 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138214234080's digits is 36
- 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 138214234080 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
APA style:
Numbermatics. (2024). Number 138214234080 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/138214234080/
Chicago style:
Numbermatics. 2024. "Number 138214234080 - Facts about the integer". https://numbermatics.com/n/138214234080/
The information we have on file for 138214234080 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 138214234080, math, Factors of 138214234080, curriculum, school, college, exams, university, Prime factorization of 138214234080, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, two hundred fourteen million, two hundred thirty-four thousand and eighty.