138046599753556824
138,046,599,753,556,824 is an even composite number composed of seven prime numbers multiplied together.
138046599753556824 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 138046599753556824:
23 × 33 × 11 × 19 × 29 × 53 × 1989536033
(2 × 2 × 2 × 3 × 3 × 3 × 11 × 19 × 29 × 53 × 1989536033)See below for interesting mathematical facts about the number 138046599753556824 from the Numbermatics database.
Names of 138046599753556824
- Cardinal: 138046599753556824 can be written as One hundred thirty-eight quadrillion, forty-six trillion, five hundred ninety-nine billion, seven hundred fifty-three million, five hundred fifty-six thousand, eight hundred twenty-four.
Scientific notation
- Scientific notation: 1.38046599753556824 × 1017
Factors of 138046599753556824
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 1989536150
Divisors of 138046599753556824
- Number of divisors d(n): 512
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 18 19 22 24 27 29 33 36 38 44 53 54 57 58 66 72 76 87 88 99 106 108 114 116 132 152 159 171 174 198 209 212 216 228 232 261 264 297 318 319 342 348 396 418 424 456 477 513 522 551 583 594 627 636 638 684 696 783 792 836 954 957 1007 1026 1044 1102 1166 1188 1254 1272 1276 1368 1431 1537 1566 1653 1672 1749 1881 1908 1914 2014 2052 2088 2204 2332 2376 2508 2552 2862 2871 3021 3074 3132 3306 3498 3762 3816 3828 4028 4104 4408 4611 4664 4959 5016 5247 5643 5724 5742 6042 6061 6148 6264 6612 6996 7524 7656 8056 8613 9063 9222 9918 10494 11077 11286 11448 11484 12084 12122 12296 13224 13833 13992 14877 15048 15741 16907 17226 18126 18183 18444 19836 20988 22154 22572 22968 24168 24244 27189 27666 29203 29754 31482 33231 33814 34452 36252 36366 36888 39672 41499 41976 44308 45144 48488 50721 54378 54549 55332 58406 59508 62964 66462 67628 68904 72504 72732 82998 87609 88616 99693 101442 108756 109098 110664 116812 119016 125928 132924 135256 145464 152163 163647 165996 175218 199386 202884 217512 218196 233624 262827 265848 299079 304326 321233 327294 331992 350436 398772 405768 436392 456489 525654 598158 608652 642466 654588 700872 788481 797544 912978 963699 1051308 1196316 1217304 1284932 1309176 1576962 1825956 1927398 2102616 2392632 2569864 2891097 3153924 3651912 3854796 5782194 6307848 7709592 8673291 11564388 17346582 23128776 34693164 69386328 1989536033 3979072066 5968608099 7958144132 11937216198 15916288264 17905824297 21884896363 23874432396 35811648594 37801184627 43769792726 47748864792 53717472891 57696544957 65654689089 71623297188 75602369254 87539585452 105445409749 107434945782 113403553881 115393089914 131309378178 143246594376 151204738508 173089634871 175079170904 196964067267 210890819498 214869891564 226807107762 230786179828 262618756356 302409477016 316336229247 340210661643 346179269742 393928134534 415813030897 421781638996 429739783128 453614215524 461572359656 519268904613 525237512712 590892201801 632672458494 634661994527 680421323286 692358539484 787856269068 831626061794 843563277992 907228431048 949008687741 1020631984929 1038537809226 1096234354183 1159899507239 1181784403602 1247439092691 1265344916988 1269323989054 1360842646572 1384717078968 1557806713839 1575712538136 1663252123588 1898017375482 1903985983581 2003462785231 2041263969858 2077075618452 2192468708366 2319799014478 2363568807204 2494878185382 2530689833976 2538647978108 2721685293144 2847026063223 3057916882721 3115613427678 3288703062549 3326504247176 3479698521717 3742317278073 3796034750964 3807971967162 4006925570462 4082527939716 4154151236904 4384937416732 4639598028956 4727137614408 4989756370764 5077295956216 5694052126446 5711957950743 6010388355693 6115833765442 6231226855356 6577406125098 6959397043434 7484634556146 7592069501928 7615943934324 8013851140924 8165055879432 8769874833464 9173750648163 9279196057912 9866109187647 9979512741528 10439095565151 11226951834219 11388104252892 11423915901486 12020776711386 12058577896013 12231667530884 12462453710712 13154812250196 13918794086868 14969269112292 15231887868648 16027702281848 17135873852229 18031165067079 18347501296326 19732218375294 20878191130302 22038090637541 22453903668438 22776208505784 22847831802972 24041553422772 24117155792026 24463335061768 26309624500392 27521251944489 27837588173736 29598327562941 29938538224584 31317286695453 33637085709931 34271747704458 36062330134158 36175733688039 36695002592652 39464436750588 41756382260604 44076181275082 44907807336876 45695663605944 48083106845544 48234311584052 54093495201237 55042503888978 58100420771699 59196655125882 62634573390906 66114271912623 67274171419862 68543495408916 72124660268316 72351467376078 73390005185304 78928873501176 82563755833467 83512764521208 88152362550164 89815614673752 96468623168104 100911257129793 108186990402474 108527201064117 110085007777956 116200841543398 118393310251764 125269146781812 132228543825246 134548342839724 137086990817832 144249320536632 144702934752156 165127511666934 174301262315097 176304725100328 198342815737869 201822514259586 216373980804948 217054402128234 220170015555912 232401683086796 236786620503528 250538293563624 264457087650492 269096685679448 289405869504312 302733771389379 325581603192351 330255023333868 348602524630194 396685631475738 403645028519172 432747961609896 434108804256468 464803366173592 522903786945291 528914175300984 595028447213607 605467542778758 639104628488689 651163206384702 660510046667736 697205049260388 793371262951476 807290057038344 868217608512936 908201314168137 1045807573890582 1190056894427214 1210935085557516 1278209256977378 1302326412769404 1394410098520776 1568711360835873 1586742525902952 1816402628336274 1917313885466067 2091615147781164 2380113788854428 2421870171115032 2556418513954756 2604652825538808 3137422721671746 3632805256672548 3834627770932134 4183230295562328 4760227577708856 5112837027909512 5751941656398201 6274845443343492 7265610513345096 7669255541864268 11503883312796402 12549690886686984 15338511083728536 17255824969194603 23007766625592804 34511649938389206 46015533251185608 69023299876778412 138046599753556824
- Sum of all divisors σ(n): 464118966011520000
- Sum of proper divisors (its aliquot sum) s(n): 326072366257963176
- 138046599753556824 is an abundant number, because the sum of its proper divisors (326072366257963176) is greater than itself. Its abundance is 188025766504406352
Bases of 138046599753556824
- Binary: 1111010100111000010100110101011001100001011100011010110002
- Hexadecimal: 0x1EA70A6ACC2E358
- Base-36: 11R9FOFNOO60
Squares and roots of 138046599753556824
- 138046599753556824 squared (1380465997535568242) is 19056863703518714980731038996966976
- 138046599753556824 cubed (1380465997535568243) is 2630735236237732623764710952708565296889204067444224
-
The
square root of 138046599753556824 is 371546228.2860059179 -
The
cube root of 138046599753556824 is 516823.0856424145
Scales and comparisons
How big is 138046599753556824?- 138,046,599,753,556,824 seconds is equal to 4,389,454,865 years, 51 weeks, 4 days, 17 hours, 20 minutes, 24 seconds.
-
To count from 1 to 138,046,599,753,556,824 would take you about thirteen billion, one hundred sixty-eight million, three hundred sixty-four thousand, five hundred ninety-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 138046599753556824 cubic inches would be around 43068.6 feet tall.
Recreational maths with 138046599753556824
- 138046599753556824 backwards is 428655357995640831
- The number of decimal digits it has is: 18
- The sum of 138046599753556824's digits is 90
- More coming soon!
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The information we have on file for 138046599753556824 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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