138344818575744
138,344,818,575,744 is an even composite number composed of five prime numbers multiplied together.
What does the number 138344818575744 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1024 divisors.
138344818575744 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 138344818575744:
27 × 33 × 113 × 61 × 793
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 11 × 11 × 61 × 79 × 79 × 79)See below for interesting mathematical facts about the number 138344818575744 from the Numbermatics database.
Names of 138344818575744
- Cardinal: 138344818575744 can be written as One hundred thirty-eight trillion, three hundred forty-four billion, eight hundred eighteen million, five hundred seventy-five thousand, seven hundred forty-four.
Scientific notation
- Scientific notation: 1.38344818575744 × 1014
Factors of 138344818575744
Divisors of 138344818575744
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 61 64 66 72 79 88 96 99 108 121 122 128 132 144 158 176 183 192 198 216 237 242 244 264 288 297 316 352 363 366 384 396 432 474 484 488 528 549 576 594 632 671 704 711 726 732 792 864 869 948 968 976 1056 1089 1098 1152 1188 1264 1331 1342 1408 1422 1452 1464 1584 1647 1728 1738 1896 1936 1952 2013 2112 2133 2178 2196 2376 2528 2607 2662 2684 2844 2904 2928 3168 3267 3294 3456 3476 3792 3872 3904 3993 4026 4224 4266 4356 4392 4752 4819 5056 5214 5324 5368 5688 5808 5856 6039 6241 6336 6534 6588 6952 7381 7584 7744 7808 7821 7986 8052 8532 8712 8784 9504 9559 9638 10112 10428 10648 10736 11376 11616 11712 11979 12078 12482 12672 13068 13176 13904 14457 14762 15168 15488 15642 15972 16104 17064 17424 17568 18117 18723 19008 19118 19276 20856 21296 21472 22143 22752 23232 23424 23463 23958 24156 24964 26136 26352 27808 28677 28914 29524 30336 31284 31944 32208 34128 34848 35136 35937 36234 37446 38016 38236 38552 41712 42592 42944 43371 44286 45504 46464 46926 47916 48312 49928 52272 52704 53009 55616 56169 57354 57828 59048 62568 63888 64416 66429 68256 68651 69696 70272 71874 72468 74892 76472 77104 81191 83424 85184 85888 86031 86742 88572 91008 93852 95832 96624 99856 104544 105149 105408 106018 111232 112338 114708 115656 118096 125136 127776 128832 130113 132858 136512 137302 139392 143748 144936 149784 152944 154208 159027 162382 166848 168507 170368 172062 173484 177144 187704 191664 193248 199287 199712 205953 209088 210298 210816 212036 224676 229416 231312 236192 243573 250272 255552 257664 258093 260226 265716 273024 274604 287496 289872 299568 305888 308416 315447 318054 324764 333696 337014 344124 346968 354288 375408 380701 383328 386496 398574 399424 411906 418176 420596 424072 449352 458832 462624 472384 477081 487146 493039 500544 511104 516186 520452 531432 549208 574992 579744 583099 599136 611776 616832 617859 630894 636108 649528 674028 688248 693936 708576 730719 750816 755161 761402 766656 772992 797148 798848 823812 841192 848144 898704 917664 925248 944768 946341 954162 974292 986078 1001088 1032372 1040904 1062864 1098416 1142103 1149984 1159488 1166198 1198272 1223552 1235718 1261788 1272216 1299056 1348056 1376496 1387872 1417152 1431243 1461438 1479117 1501632 1510322 1522804 1533312 1594296 1647624 1682384 1696288 1749297 1797408 1835328 1850496 1853577 1892682 1908324 1948584 1972156 2064744 2081808 2125728 2192157 2196832 2265483 2284206 2299968 2318976 2332396 2396544 2471436 2523576 2544432 2598112 2696112 2752992 2775744 2834304 2839023 2862486 2922876 2958234 3003264 3020644 3045608 3188592 3295248 3364768 3392576 3426309 3498594 3594816 3670656 3707154 3785364 3816648 3897168 3944312 4129488 4163616 4187711 4251456 4384314 4393664 4437351 4530966 4568412 4599936 4664792 4942872 5047152 5088864 5196224 5247891 5392224 5423429 5505984 5551488 5678046 5724972 5845752 5916468 6041288 6091216 6377184 6414089 6590496 6729536 6785152 6796449 6852618 6997188 7189632 7414308 7570728 7633296 7794336 7888624 8258976 8306771 8327232 8375422 8502912 8768628 8787328 8874702 9061932 9136824 9329584 9885744 10094304 10177728 10278927 10392448 10495782 10784448 10846858 11011968 11356092 11449944 11691504 11832936 12082576 12182432 12563133 12754368 12828178 13180992 13312053 13459072 13592898 13705236 13994376 14828616 15141456 15266592 15588672 15743673 15777248 16270287 16517952 16613542 16654464 16750844 17537256 17749404 18123864 18273648 18659168 19242267 19771488 20188608 20355456 20389347 20557854 20991564 21568896 21693716 22712184 22899888 23383008 23665872 24165152 24364864 24920313 25126266 25508736 25656356 26361984 26624106 27185796 27410472 27988752 29657232 30075379 30282912 30533184 31177344 31487346 31554496 32540574 33035904 33227084 33501688 35074512 35498808 36247728 36547296 37318336 37689399 38484534 39542976 40377216 40778694 41115708 41983128 43387432 45424368 45799776 46064821 46766016 47331744 48330304 48729728 48810861 49840626 50252532 51312712 53248212 54371592 54820944 55977504 57726801 59314464 59657719 60150758 60565824 61066368 62974692 63108992 65081148 66454168 67003376 70149024 70997616 72495456 73094592 74636672 74760939 75378798 76969068 79085952 81557388 82231416 83966256 86774864 90226137 90848736 91599552 92129642 93532032 94663488 96660608 97621722 99681252 100505064 102625424 106496424 108743184 109641888 111955008 113068197 115453602 118628928 119315438 120301516 121131648 125949384 130162296 132908336 134006752 138194463 140298048 141995232 144990912 146189184 146432583 149521878 150757596 153938136 163114776 164462832 167932512 173180403 173549728 178973157 180452274 181697472 183199104 184259284 189326976 195243444 199362504 201010128 205250848 212992848 217486368 219283776 223910016 224282817 226136394 230907204 237257856 238630876 240603032 251898768 260324592 265816672 268013504 270678411 276388926 280596096 283990464 289981824 292865166 299043756 301515192 307876272 326229552 328925664 330829169 335865024 346360806 347099456 357946314 360904548 363394944 368518568 390486888 398725008 402020256 410501696 414583389 425985696 434972736 438567552 448565634 452272788 461814408 477261752 481206064 503797536 506713031 520649184 531633344 536027008 536919471 541356822 552777852 567980928 585730332 598087512 603030384 615752544 652459104 656234909 657851328 661658338 671730048 692721612 694198912 715892628 721809096 737037136 780973776 797450016 804040512 812035233 821003392 829166778 851971392 869945472 897131268 904545576 923628816 954523504 962412128 992487507 1007595072 1013426062 1041298368 1063266688 1073838942 1082713644 1105555704 1171460664 1196175024 1206060768 1231505088 1243750167 1304918208 1312469818 1315702656 1323316676 1385443224 1431785256 1443618192 1474074272 1520139093 1561947552 1594900032 1608081024 1610758413 1624070466 1658333556 1703942784 1794262536 1809091152 1847257632 1909047008 1924824256 1968704727 1984975014 2015190144 2026852124 2082596736 2147677884 2165427288 2211111408 2342921328 2392350048 2412121536 2463010176 2487500334 2609836416 2624939636 2646633352 2770886448 2863570512 2887236384 2948148544 2977462521 3040278186 3123895104 3189800064 3221516826 3248140932 3316667112 3588525072 3618182304 3639120859 3694515264 3818094016 3849648512 3937409454 3969950028 4053704248 4295355768 4330854576 4422222816 4560417279 4685842656 4784700096 4824243072 4975000668 5249879272 5293266704 5541772896 5727141024 5774472768 5896297088 5906114181 5954925042 6080556372 6247790208 6443033652 6496281864 6633334224 7177050144 7236364608 7278241718 7389030528 7636188032 7874818908 7939900056 8107408496 8590711536 8661709152 8844445632 8932387563 9120834558 9371685312 9569400192 9950001336 10499758544 10586533408 10917362577 11083545792 11454282048 11548945536 11812228362 11909850084 12161112744 12886067304 12992563728 13266668448 13681251837 14354100288 14472729216 14556483436 15749637816 15879800112 16214816992 17181423072 17323418304 17688891264 17718342543 17864775126 18241669116 18743370624 19900002672 20999517088 21173066816 21834725154 22167091584 22908564096 23624456724 23819700168 24322225488 25772134608 25985127456 26533336896 27362503674 28708200576 29112966872 31499275632 31759600224 32429633984 32752087731 34362846144 34646836608 35436685086 35729550252 36483338232 39800005344 40030329449 41999034176 42346133632 43669450308 47248913448 47639400336 48644450976 51544269216 51970254912 53066673792 54725007348 58225933744 62998551264 63519200448 64859267968 65504175462 68725692288 70873370172 71459100504 72966676464 79600010688 80060658898 83998068352 87338900616 94497826896 95278800672 97288901952 98256263193 103088538432 103940509824 109450014696 116451867488 120090988347 125997102528 127038400896 131008350924 141746740344 142918201008 145933352928 159200021376 160121317796 174677801232 188995653792 190557601344 194577803904 196512526386 206177076864 218900029392 232903734976 240181976694 251994205056 262016701848 283493480688 285836402016 291866705856 320242635592 349355602464 360272965041 377991307584 381115202688 393025052772 437800058784 465807469952 480363953388 524033403696 566986961376 571672804032 583733411712 640485271184 698711204928 720545930082 755982615168 786050105544 875600117568 960727906776 1048066807392 1080818895123 1133973922752 1143345608064 1280970542368 1397422409856 1441091860164 1572100211088 1751200235136 1921455813552 2096133614784 2161637790246 2267947845504 2561941084736 2882183720328 3144200422176 3842911627104 4192267229568 4323275580492 5123882169472 5764367440656 6288400844352 7685823254208 8646551160984 11528734881312 12576801688704 15371646508416 17293102321968 23057469762624 34586204643936 46114939525248 69172409287872 138344818575744
- Sum of all divisors σ(n): 462324266496000
- Sum of proper divisors (its aliquot sum) s(n): 323979447920256
- 138344818575744 is an abundant number, because the sum of its proper divisors (323979447920256) is greater than itself. Its abundance is 185634629344512
Bases of 138344818575744
- Binary: 111110111010010111010011100010010001001100000002
- Hexadecimal: 0x7DD2E9C48980
- Base-36: 1D1EQD0TC0
Squares and roots of 138344818575744
- 138344818575744 squared (1383448185757442) is 19139288826755522120665153536
- 138344818575744 cubed (1383448185757443) is 2647821440406256944549926032720214605430784
-
The
square root of 138344818575744 is 11762007.4211736495 -
The
cube root of 138344818575744 is 51719.4978225477
Scales and comparisons
How big is 138344818575744?- 138,344,818,575,744 seconds is equal to 4,398,937 years, 15 weeks, 4 days, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 138,344,818,575,744 would take you about ten million, nine hundred ninety-seven thousand, three hundred forty-three 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 138344818575744 cubic inches would be around 4310 feet tall.
Recreational maths with 138344818575744
- 138344818575744 backwards is 447575818443831
- 138344818575744 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138344818575744's digits is 72
- 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 138344818575744 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 138344818575744 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/138344818575744/
Chicago style:
Numbermatics. 2024. "Number 138344818575744 - Facts about the integer". https://numbermatics.com/n/138344818575744/
The information we have on file for 138344818575744 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 138344818575744, math, Factors of 138344818575744, curriculum, school, college, exams, university, Prime factorization of 138344818575744, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred forty-four billion, eight hundred eighteen million, five hundred seventy-five thousand, seven hundred forty-four.