138387498977770622388
138,387,498,977,770,622,388 is an even composite number composed of six prime numbers multiplied together.
What does the number 138387498977770622388 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1536 divisors.
138387498977770622388 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138387498977770622388:
22 × 33 × 293 × 613 × 113 × 1273
(2 × 2 × 3 × 3 × 3 × 29 × 29 × 29 × 61 × 61 × 61 × 113 × 127 × 127 × 127)See below for interesting mathematical facts about the number 138387498977770622388 from the Numbermatics database.
Names of 138387498977770622388
- Cardinal: 138387498977770622388 can be written as One hundred thirty-eight quintillion, three hundred eighty-seven quadrillion, four hundred ninety-eight trillion, nine hundred seventy-seven billion, seven hundred seventy million, six hundred twenty-two thousand, three hundred eighty-eight.
Scientific notation
- Scientific notation: 1.38387498977770622388 × 1020
Factors of 138387498977770622388
Divisors of 138387498977770622388
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 9 12 18 27 29 36 54 58 61 87 108 113 116 122 127 174 183 226 244 254 261 339 348 366 381 452 508 522 549 678 732 762 783 841 1017 1044 1098 1143 1356 1524 1566 1647 1682 1769 2034 2196 2286 2523 3051 3132 3277 3294 3364 3429 3538 3683 3721 4068 4572 5046 5307 6102 6554 6588 6858 6893 7076 7366 7442 7569 7747 9831 10092 10614 11049 11163 12204 13108 13716 13786 14351 14732 14884 15138 15494 15921 16129 19662 20679 21228 22098 22326 22707 23241 24389 27572 28702 29493 30276 30988 31842 32258 33147 33489 39324 41358 43053 44196 44652 45414 46482 47763 48387 48778 51301 57404 58986 62037 63684 64516 66294 66978 69723 73167 82716 86106 88479 90828 92964 95033 95526 96774 97556 99441 100467 102602 106807 107909 117972 124074 129159 132588 133956 139446 145161 146334 153903 172212 176958 186111 190066 191052 193548 198882 199897 200934 205204 209169 213614 215818 219501 224663 226981 248148 258318 278892 285099 290322 292668 307806 320421 323727 353916 372222 380132 387477 397764 399794 401868 416179 418338 420473 427228 431636 435483 439002 449326 453962 461709 467741 472567 516636 570198 580644 599691 615612 640842 647454 658503 673989 680943 744444 774954 799588 832358 836676 840946 855297 870966 875411 878004 898652 907924 923418 935482 945134 961263 971181 983869 1140396 1199382 1248537 1261419 1281684 1294908 1317006 1347978 1361886 1385127 1403223 1417701 1487729 1549908 1664716 1681892 1710594 1741932 1750822 1799073 1822577 1846836 1870964 1890268 1922526 1942362 1967738 2021967 2042829 2048383 2398764 2497074 2522838 2565891 2626233 2634012 2695956 2723772 2755957 2770254 2806446 2835402 2883789 2913543 2951607 2975458 3097403 3129361 3421188 3501644 3598146 3645154 3745611 3784257 3845052 3884724 3935476 4043934 4085658 4096766 4209669 4253103 4463187 4994148 5045676 5131782 5252466 5397219 5467731 5511914 5540508 5612892 5670804 5767578 5797013 5827086 5903214 5950916 6065901 6128487 6145149 6194806 6258722 6515227 6582449 7196292 7290308 7491222 7568514 7878699 8087868 8171316 8193532 8267871 8419338 8506206 8854821 8926374 9292209 9388083 10263564 10504932 10794438 10935462 11023828 11236833 11352771 11535156 11594026 11654172 11806428 12069191 12131802 12193717 12256974 12290298 12389612 12517444 12629007 12759309 13030454 13164898 13389561 13564489 13704443 14982444 15137028 15757398 16403193 16535742 16838676 17012412 17391039 17709642 17852748 18435447 18584418 18776166 19545681 19747347 21588876 21870924 22473666 22705542 23188052 23636097 24138382 24263604 24387434 24513948 24580596 24803613 25258014 25386919 25518618 25648853 26060908 26329796 26564463 26779122 27128978 27408886 27876627 28164249 28532201 28826587 31514796 32806386 33071484 34782078 35419284 36207573 36581151 36870894 37168836 37552332 39091362 39494694 40168683 40693467 41113329 44947332 45411084 47272194 48276764 48774868 49209579 49607226 50516028 50773838 51037236 51297706 52173117 52854733 53128926 53400071 53558244 54257956 54817772 55306341 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1464964812 1472441302 1480079844 1487633474 1499416356 1513020393 1532787257 1540738854 1548602059 1556635698 1573480724 1589715388 1603883889 1620432243 1633526442 1654867658 1671942046 1700474247 1718019189 1722690103 1740464261 1902770388 1922402556 2001189546 2017360524 2083205511 2100039234 2121706758 2138511852 2160576324 2208661953 2231450211 2249124534 2267298996 2290692252 2360221086 2384573082 2450289663 2482301487 2507913069 2741787252 2770076124 2777607348 2854155582 2883603834 2944882604 2975266948 3001784319 3026040786 3065574514 3081477708 3097204118 3113271396 3150058851 3182560137 3207767778 3224138713 3240864486 3257404331 3267052884 3309735316 3343884092 3373686801 3400948494 3436038378 3445380206 3480928522 3540331629 3576859623 3623589527 3660976549 4002379092 4166411022 4200078468 4243413516 4417323906 4462900422 4498249068 4539061179 4598361771 4645806177 4720442172 4769146164 4900579326 4964602974 5015826138 5101422741 5154057567 5168070309 5221392783 5535839609 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8782382661006 9142316376621 9236643833127 10098002449116 10202190364692 10335476941908 10511855008506 10620312920622 10846002630532 10957908169484 11055571646877 11169639450999 11259897764706 11290510935062 11349082398564 11407002766594 11466178551468 11721368984571 11874502879979 11936103901938 11997020151073 12189755168828 12315525110836 12553488586521 12654929346174 12820259746526 13173573991509 13483376629967 14740762195836 14892852601332 15503215412862 15628491979428 16269003945798 16436862254226 16737984782028 16889846647059 16935766402593 17110504149891 17564765322012 18284632753242 18473287666254 18982394019261 19230389619789 21023710017012 21240625841244 22111143293754 22339278901998 22519795529412 22581021870124 22814005533188 23254823119293 23442737969142 23749005759958 23872207803876 23994040302146 24403505918697 24655293381339 24977402609611 25106977173042 25309858692348 25640519493052 26347147983018 26966753259934 27426949129863 27709931499381 31006430825724 32538007891596 32873724508452 33779693294118 33871532805186 34221008299782 35164106953713 35623508639937 35991060453219 36569265506484 36946575332508 37964788038522 38460779239578 39520721974527 40450129889901 44222286587508 44678557803996 46509646238586 46885475938284 47498011519916 47988080604292 48807011837394 49310586762678 49954805219222 50213954346084 50807299207779 51331512449673 52538674454699 52694295966036 53933506519868 54853898259726 55419862998762 57691168859367 67559386588236 67743065610372 68442016599564 70328213907426 71247017279874 71982120906438 73210517756091 73965880144017 74932207828833 75929576077044 76921558479156 79041443949054 79444834228759 80900259779802 82280847389589 83129794498143 89287557053561 93019292477172 97614023674788 98621173525356 99909610438444 101614598415558 102663024899346 105077348909398 106870525919811 107973181359657 109707796519452 110839725997524 115382337718734 121350389669703 140656427814852 142494034559748 143964241812876 146421035512182 147931760288034 149864415657666 152421897623337 153994537349019 157616023364097 158082887898108 158889668457518 161800519559604 164561694779178 165401540115613 166259588996286 173073506578101 178575114107122 185893766324627 203229196831116 205326049798692 210154697818796 213741051839622 215946362719314 224796623486499 230764675437468 238334502686277 242700779339406 267862671160683 292842071024364 295863520576068 299728831315332 304843795246674 307989074698038 315232046728194 317779336915036 320611577759433 323919544078971 329123389558356 330803080231226 332519177992572 344360583519391 346147013156202 347913584381117 357150228214244 364051169009109 371787532649254 391017922269043 427482103679244 431892725438628 449593246972998 472848070092291 476669005372554 485401558678812 496204620346839 535725342321366 557681298973881 609687590493348 615978149396076 630464093456388 641223155518866 647839088157942 661606160462452 674389870459497 688721167038782 692294026312404 695827168762234 715003508058831 724344675678719 728102338018218 743575065298508 782035844538086 803588013482049 899186493945996 945696140184582 953338010745108 992409240693678 1033081750558173 1043740753143351 1071450684642732 1115362597947762 1173053766807129 1282446311037732 1295678176315884 1348779740918994 1377442334077564 1391654337524468 1418544210276873 1430007016117662 1448689351357438 1456204676036436 1488613861040517 1523621559186271 1564071689076172 1607176026964098 1673043896921643 1891392280369164 1984818481387356 2066163501116346 2087481506286702 2145010524176493 2173034027036157 2230725195895524 2346107533614258 2410764040446147 2697559481837988 2837088420553746 2860014032235324 2897378702714876 2977227722081034 3047243118372542 3099245251674519 3131222259430053 3214352053928196 3346087793843286 3519161300421387 4132327002232692 4174963012573404 4290021048352986 4346068054072314 4465841583121551 4570864677558813 4692215067228516 4821528080892294 5019131690764929 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102055677712220223 121073927364628716 126035973568097106 132555075649205577 136074236949626964 164551128392117268 176740100865607436 181610891046943074 189053960352145659 204111355424440446 252071947136194212 265110151298411154 272416336570414611 306167033136660669 363221782093886148 378107920704291318 397665226947616731 408222710848880892 530220302596822308 544832673140829222 567161881056436977 612334066273321338 756215841408582636 795330453895233462 1089665346281658444 1134323762112873954 1192995680842850193 1224668132546642676 1281365731275653911 1590660907790466924 2268647524225747908 2385991361685700386 2562731462551307822 3844097193826961733 4771982723371400772 5125462925102615644 7688194387653923466 11532291581480885199 15376388775307846932 23064583162961770398 34596874744442655597 46129166325923540796 69193749488885311194 138387498977770622388
- Sum of all divisors σ(n): 384156887697580032000
- Sum of proper divisors (its aliquot sum) s(n): 245769388719809409612
- 138387498977770622388 is an abundant number, because the sum of its proper divisors (245769388719809409612) is greater than itself. Its abundance is 107381889742038787224
Bases of 138387498977770622388
- Binary: 11110000000100000110010100100011100101001001100000001001101101101002
- Hexadecimal: 0x78083291CA4C04DB4
- Base-36: T7EIQ7KK92KL0
Squares and roots of 138387498977770622388
- 138387498977770622388 squared (1383874989777706223882) is 19151099873322465056391600453016886822544
- 138387498977770622388 cubed (1383874989777706223883) is 2650272814142595728899717110519070211522778335665002589515072
-
The
square root of 138387498977770622388 is 11763821614.4997124991 -
The
cube root of 138387498977770622388 is 5172481.5891848619
Scales and comparisons
How big is 138387498977770622388?- 138,387,498,977,770,622,388 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,387,498,977,770,622,388 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 138387498977770622388 cubic inches would be around 431040.1 feet tall.
Recreational maths with 138387498977770622388
- 138387498977770622388 backwards is 883226077779894783831
- The number of decimal digits it has is: 21
- The sum of 138387498977770622388's digits is 117
- More coming soon!
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MLA style:
"Number 138387498977770622388 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
APA style:
Numbermatics. (2024). Number 138387498977770622388 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/138387498977770622388/
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Numbermatics. 2024. "Number 138387498977770622388 - Facts about the integer". https://numbermatics.com/n/138387498977770622388/
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