138971367793728
138,971,367,793,728 is an even composite number composed of five prime numbers multiplied together.
What does the number 138971367793728 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1134 divisors.
138971367793728 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred thirty-four divisors.
Prime factorization of 138971367793728:
26 × 38 × 232 × 372 × 457
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 23 × 23 × 37 × 37 × 457)See below for interesting mathematical facts about the number 138971367793728 from the Numbermatics database.
Names of 138971367793728
- Cardinal: 138971367793728 can be written as One hundred thirty-eight trillion, nine hundred seventy-one billion, three hundred sixty-seven million, seven hundred ninety-three thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38971367793728 × 1014
Factors of 138971367793728
Divisors of 138971367793728
- Number of divisors d(n): 1134
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 37 46 48 54 64 69 72 74 81 92 96 108 111 138 144 148 162 184 192 207 216 222 243 276 288 296 324 333 368 414 432 444 457 486 529 552 576 592 621 648 666 729 736 828 851 864 888 914 972 999 1058 1104 1184 1242 1296 1332 1369 1371 1458 1472 1587 1656 1702 1728 1776 1828 1863 1944 1998 2116 2187 2208 2368 2484 2553 2592 2664 2738 2742 2916 2997 3174 3312 3404 3552 3656 3726 3888 3996 4107 4113 4232 4374 4416 4761 4968 5106 5184 5328 5476 5484 5589 5832 5994 6348 6561 6624 6808 7104 7312 7452 7659 7776 7992 8214 8226 8464 8748 8991 9522 9936 10212 10511 10656 10952 10968 11178 11664 11988 12321 12339 12696 13122 13248 13616 14283 14624 14904 15318 15552 15984 16428 16452 16767 16909 16928 17496 17982 19044 19573 19872 20424 21022 21312 21904 21936 22356 22977 23328 23976 24642 24678 25392 26244 26973 27232 28566 29248 29808 30636 31487 31533 31968 32856 32904 33534 33818 33856 34992 35964 36963 37017 38088 39146 39744 40848 42044 42849 43808 43872 44712 45954 46656 47952 49284 49356 50301 50727 50784 52488 53946 54464 57132 58719 59616 61272 62974 63066 63936 65712 65808 67068 67636 68931 69984 71928 73926 74034 76176 78292 80919 81696 84088 85698 87616 87744 89424 91908 94461 94599 95904 98568 98712 100602 101454 101568 104976 107892 110889 111051 114264 117438 119232 122544 125948 126132 128547 131424 131616 134136 135272 137862 139968 143856 147852 148068 150903 152181 152352 156584 161838 163392 168176 171396 176157 178848 183816 188922 189198 191808 197136 197424 201204 202908 206793 209952 215784 221778 222102 228528 234876 241753 242757 245088 251896 252264 257094 262848 263232 268272 270544 275724 283383 283797 287712 295704 296136 301806 304362 304704 313168 323676 332667 333153 336352 342792 352314 357696 367632 377844 378396 385641 388907 394272 394848 402408 405816 413586 419904 431568 443556 444204 456543 457056 469752 483506 485514 490176 503792 504528 514188 528471 536544 541088 551448 566766 567594 575424 591408 592272 603612 608724 620379 625633 626336 647352 665334 666306 672704 685584 704628 724201 725259 735264 755688 756792 771282 777814 788544 789696 804816 811632 827172 850149 851391 863136 887112 888408 913086 914112 939504 967012 971028 998001 999459 1007584 1009056 1028376 1056942 1073088 1082176 1102896 1133532 1135188 1156923 1166721 1182816 1184544 1207224 1217448 1240758 1251266 1252672 1294704 1330668 1332612 1369629 1371168 1409256 1448402 1450518 1470528 1511376 1513584 1542564 1555628 1585413 1609632 1623264 1654344 1700298 1702782 1726272 1774224 1776816 1826172 1861137 1876899 1879008 1934024 1942056 1996002 1998918 2015168 2018112 2056752 2113884 2172603 2175777 2205792 2267064 2270376 2313846 2333442 2365632 2369088 2414448 2434896 2481516 2502532 2550447 2554173 2589408 2661336 2665224 2739258 2742336 2818512 2896804 2901036 2994003 2998377 3022752 3027168 3085128 3111256 3170826 3219264 3246528 3308688 3400596 3405564 3470769 3500163 3548448 3553632 3652344 3722274 3753798 3758016 3868048 3884112 3992004 3997836 4108887 4113504 4227768 4345206 4351554 4411584 4534128 4540752 4627692 4666884 4756239 4828896 4869792 4963032 5005064 5100894 5108346 5178816 5322672 5330448 5478516 5583411 5630697 5637024 5793608 5802072 5988006 5996754 6045504 6054336 6170256 6222512 6341652 6517809 6527331 6617376 6801192 6811128 6941538 7000326 7096896 7107264 7304688 7444548 7507596 7651341 7662519 7736096 7768224 7984008 7995672 8217774 8227008 8455536 8690412 8703108 8944861 8982009 9068256 9081504 9255384 9333768 9512478 9657792 9739584 9926064 10010128 10201788 10216692 10500489 10645344 10660896 10957032 11166822 11261394 11274048 11587216 11604144 11976012 11993508 12326661 12340512 12445024 12683304 13035618 13054662 13234752 13602384 13622256 13883076 14000652 14268717 14389559 14609376 14889096 15015192 15302682 15325038 15472192 15536448 15968016 15991344 16435548 16892091 16911072 17380824 17406216 17889722 17964018 18136512 18163008 18510768 18667536 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405410184 413172414 417139776 417749184 429353328 443759796 456086457 456598944 460465888 469282248 469967832 483022494 489685824 490401216 504023472 513673812 518024124 527942529 528713811 540546912 550896552 551701368 567026406 572471104 574848576 591679728 608115276 625709664 626623776 644029992 661919714 672031296 684898416 690698832 703923372 704951748 724533741 734528736 735601824 756035208 777036186 788906304 810820368 826344828 850539609 858706656 887519592 912172914 913197888 920931776 938564496 939935664 966044988 992879571 1008046944 1027347624 1036048248 1055885058 1057427622 1081093824 1101793104 1103402736 1134052812 1165554279 1183359456 1216230552 1251419328 1253247552 1288059984 1323839428 1368259371 1369796832 1381397664 1407846744 1409903496 1449067482 1469057472 1471203648 1512070416 1554072372 1583827587 1586141433 1621640736 1652689656 1701079218 1717413312 1775039184 1824345828 1877128992 1879871328 1932089976 1985759142 2016093888 2054695248 2072096496 2111770116 2114855244 2173601223 2203586208 2206805472 2268105624 2331108558 2366718912 2432461104 2551618827 2576119968 2647678856 2736518742 2739593664 2762795328 2815693488 2819806992 2898134964 2978638713 3024140832 3108144744 3167655174 3172282866 3243281472 3305379312 3402158436 3496662837 3550078368 3648691656 3754257984 3759742656 3864179952 3971518284 4104778113 4109390496 4144192992 4223540232 4229710488 4347202446 4407172416 4413610944 4536211248 4662217116 4751482761 4864922208 5103237654 5152239936 5295357712 5473037484 5631386976 5639613984 5796269928 5957277426 6048281664 6216289488 6335310348 6344565732 6520803669 6610758624 6804316872 6993325674 7100156736 7297383312 7728359904 7943036568 8209556226 8218780992 8288385984 8447080464 8459420976 8694404892 8935916139 9072422496 9324434232 9502965522 9729844416 10206475308 10489988511 10590715424 10946074968 11262773952 11279227968 11592539856 11914554852 12432578976 12670620696 12689131464 13041607338 13221517248 13608633744 13986651348 14594766624 15456719808 15886073136 16419112452 16894160928 16918841952 17388809784 17871832278 18144844992 18648868464 19005931044 19562411007 20412950616 20979977022 21181430848 21892149936 23185079712 23829109704 24865157952 25341241392 25378262928 26083214676 26807748417 27217267488 27973302696 29189533248 31469965533 31772146272 32838224904 33788321856 33837683904 34777619568 35743664556 37297736928 38011862088 39124822014 40825901232 41959954044 43784299872 46370159424 47658219408 50682482784 50756525856 52166429352 53615496834 54434534976 55946605392 58687233021 62939931066 63544292544 65676449808 69555239136 71487329112 74595473856 76023724176 78249644028 80423245251 81651802464 83919908088 87568599744 94409896599 95316438816 101364965568 101513051712 104332858704 107230993668 111893210784 117374466042 125879862132 131352899616 139110478272 142974658224 152047448352 156499288056 160846490502 163303604928 167839816176 188819793198 190632877632 208665717408 214461987336 223786421568 234748932084 241269735753 251759724264 262705799232 285949316448 304094896704 312998576112 321692981004 335679632352 377639586396 417331434816 428923974672 469497864168 482539471506 503519448528 571898632896 625997152224 643385962008 671359264704 723809207259 755279172792 857847949344 938995728336 965078943012 1007038897056 1251994304448 1286771924016 1447618414518 1510558345584 1715695898688 1877991456672 1930157886024 2014077794112 2171427621777 2573543848032 2895236829036 3021116691168 3755982913344 3860315772048 4342855243554 5147087696064 5790473658072 6042233382336 7720631544096 8685710487108 11580947316144 15441263088192 17371420974216 23161894632288 34742841948432 46323789264576 69485683896864 138971367793728
- Sum of all divisors σ(n): 445376870692026
- Sum of proper divisors (its aliquot sum) s(n): 306405502898298
- 138971367793728 is an abundant number, because the sum of its proper divisors (306405502898298) is greater than itself. Its abundance is 167434135104570
Bases of 138971367793728
- Binary: 111111001100100110010110000001011100100010000002
- Hexadecimal: 0x7E64CB02E440
- Base-36: 1D9EKC9000
Squares and roots of 138971367793728
- 138971367793728 squared (1389713677937282) is 19313041066459620002356137984
- 138971367793728 cubed (1389713677937283) is 2683959733262332701626836981707236817764352
-
The
square root of 138971367793728 is 11788611.7839942459 -
The
cube root of 138971367793728 is 51797.4576493731
Scales and comparisons
How big is 138971367793728?- 138,971,367,793,728 seconds is equal to 4,418,859 years, 32 weeks, 5 days, 28 minutes, 48 seconds.
-
To count from 1 to 138,971,367,793,728 would take you about eleven million, forty-seven thousand, one hundred forty-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 138971367793728 cubic inches would be around 4316.5 feet tall.
Recreational maths with 138971367793728
- 138971367793728 backwards is 827397763179831
- 138971367793728 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138971367793728's digits is 81
- More coming soon!
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The information we have on file for 138971367793728 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 138971367793728, math, Factors of 138971367793728, curriculum, school, college, exams, university, Prime factorization of 138971367793728, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, nine hundred seventy-one billion, three hundred sixty-seven million, seven hundred ninety-three thousand, seven hundred twenty-eight.