138948812500680
138,948,812,500,680 is an even composite number composed of seven prime numbers multiplied together.
138948812500680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138948812500680:
23 × 35 × 5 × 7 × 13 × 53 × 2963953
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 13 × 53 × 2963953)See below for interesting mathematical facts about the number 138948812500680 from the Numbermatics database.
Names of 138948812500680
- Cardinal: 138948812500680 can be written as One hundred thirty-eight trillion, nine hundred forty-eight billion, eight hundred twelve million, five hundred thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3894881250068 × 1014
Factors of 138948812500680
Divisors of 138948812500680
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 18 20 21 24 26 27 28 30 35 36 39 40 42 45 52 53 54 56 60 63 65 70 72 78 81 84 90 91 104 105 106 108 117 120 126 130 135 140 156 159 162 168 180 182 189 195 210 212 216 234 243 252 260 265 270 273 280 312 315 318 324 351 360 364 371 378 390 405 420 424 455 468 477 486 504 520 530 540 546 567 585 630 636 648 689 702 728 742 756 780 795 810 819 840 910 936 945 954 972 1053 1060 1080 1092 1113 1134 1170 1215 1260 1272 1365 1378 1404 1431 1484 1512 1560 1590 1620 1638 1701 1755 1820 1855 1890 1908 1944 2067 2106 2120 2184 2226 2268 2340 2385 2430 2457 2520 2730 2756 2808 2835 2862 2968 3159 3180 3240 3276 3339 3402 3445 3510 3640 3710 3780 3816 4095 4134 4212 4293 4452 4536 4680 4770 4823 4860 4914 5265 5460 5512 5565 5670 5724 6201 6318 6360 6552 6678 6804 6890 7020 7155 7371 7420 7560 8190 8268 8424 8505 8586 8904 9540 9646 9720 9828 10017 10335 10530 10920 11130 11340 11448 12285 12402 12636 12879 13356 13608 13780 14040 14310 14469 14742 14840 15795 16380 16536 16695 17010 17172 18603 19080 19292 19656 20034 20670 21060 21465 22113 22260 22680 24115 24570 24804 25272 25758 26712 27560 28620 28938 29484 30051 31005 31590 32760 33390 34020 34344 36855 37206 38584 40068 41340 42120 42930 43407 44226 44520 48230 49140 49608 50085 51516 55809 57240 57876 58968 60102 62010 63180 64395 66780 68040 72345 73710 74412 80136 82680 85860 86814 88452 90153 93015 96460 98280 100170 103032 110565 111618 115752 120204 124020 126360 128790 130221 133560 144690 147420 148824 150255 167427 171720 173628 176904 180306 186030 192920 200340 217035 221130 223236 240408 248040 257580 260442 279045 289380 294840 300510 334854 347256 360612 372060 390663 400680 434070 442260 446472 450765 515160 520884 558090 578760 601020 651105 669708 721224 744120 781326 837135 868140 884520 901530 1041768 1116180 1171989 1202040 1302210 1339416 1562652 1674270 1736280 1803060 1953315 2232360 2343978 2604420 2963953 3125304 3348540 3606120 3906630 4687956 5208840 5859945 5927906 6697080 7813260 8891859 9375912 11719890 11855812 14819765 15626520 17783718 20747671 23439780 23711624 26675577 29639530 35567436 38531389 41495342 44459295 46879560 53351154 59279060 62243013 71134872 77062778 80026731 82990684 88918590 103738355 106702308 115594167 118558120 124486026 133377885 154125556 157089509 160053462 165981368 177837180 186729039 192656945 207476710 213404616 231188334 240080193 248972052 266755770 269719723 308251112 311215065 314179018 320106924 346782501 355674360 373458078 385313890 400133655 414953420 462376668 471268527 480160386 497944104 533511540 539439446 560187117 577970835 622430130 628358036 640213848 693565002 720240579 746916156 770627780 785447545 800267310 809159169 829906840 924753336 933645195 942537054 960320772 1040347503 1067023080 1078878892 1099626563 1120374234 1155941670 1200400965 1244860260 1256716072 1348598615 1387130004 1413805581 1440481158 1493832312 1541255560 1570895090 1600534620 1618318338 1680561351 1733912505 1867290390 1885074108 1920641544 2042163617 2080695006 2157757784 2199253126 2240748468 2311883340 2356342635 2400801930 2427477507 2489720520 2697197230 2774260008 2800935585 2827611162 2880962316 3121042509 3141790180 3201069240 3236636676 3298879689 3361122702 3467825010 3601202895 3734580780 3770148216 4045795845 4084327234 4161390012 4241416743 4398506252 4481496936 4623766680 4712685270 4801603860 4854955014 5041684053 5201737515 5394394460 5498132815 5601871170 5655222324 5761924632 6126490851 6242085018 6283580360 6473273352 6597759378 6722245404 6935650020 7069027905 7202405790 7282432521 7469161560 8091591690 8168654468 8322780024 8402806755 8482833486 8797012504 9363127527 9425370540 9603207720 9709910028 9896639067 10083368106 10210818085 10403475030 10788788920 10996265630 11203742340 11310444648 12137387535 12252981702 12484170036 12724250229 13195518756 13444490808 13871300040 14138055810 14295145319 14404811580 14564865042 15605212545 16183183380 16337308936 16494398445 16805613510 16965666972 18379472553 18726255054 18850741080 19419820056 19793278134 20166736212 20421636170 20806950060 21207083715 21847297563 21992531260 22407484680 24274775070 24505963404 24968340072 25208420265 25448500458 26391037512 28276111620 28590290638 28809623160 29129730084 29689917201 30632454255 31210425090 32366366760 32988796890 33611227020 33931333944 36412162605 36758945106 37452510108 38172750687 39586556268 40333472424 40843272340 41613900120 42414167430 42885435957 43694595126 43985062520 46815637635 48549550140 49011926808 49483195335 50416840530 50897000916 55138417659 56552223240 57180581276 58259460168 59379834402 61264908510 62420850180 63621251145 65541892689 65977593780 67222454040 71475726595 72824325210 73517890212 74905020216 76345501374 79173112536 81686544680 84828334860 85770871914 87389190252 89069751603 91897362765 93631275270 97099100280 98966390670 100833681060 101794001832 109236487815 110276835318 114361162552 118759668804 122529817020 124841700360 127242502290 128656307871 131083785378 131955187560 142951453190 145648650420 147035780424 148449586005 152691002748 165415252977 169656669720 171541743828 174778380504 178139503206 183794725530 187262550540 190863753435 197932781340 201667362120 214427179785 218472975630 220553670636 237519337608 245059634040 254485004580 257312615742 262167570756 267209254809 275692088295 285902906380 291297300840 296899172010 305382005496 327709463445 330830505954 343083487656 356279006412 367589451060 374525101080 381727506870 385968923613 395865562680 428854359570 436945951260 441107341272 445348758015 496245758931 508970009160 514625231484 524335141512 534418509618 551384176590 571805812760 593798344020 643281539355 655418926890 661661011908 712558012824 735178902120 763455013740 771937847226 827076264885 857708719140 873891902520 890697516030 992491517862 1029250462968 1068837019236 1102768353180 1157906770839 1187596688040 1286563078710 1310837853780 1323322023816 1336046274045 1526910027480 1543875694452 1654152529770 1715417438280 1781395032060 1929844618065 1984983035724 2137674038472 2205536706360 2315813541678 2481228794655 2573126157420 2621675707560 2672092548090 3087751388904 3308305059540 3473720312517 3562790064120 3859689236130 3969966071448 4631627083356 4962457589310 5146252314840 5344185096180 5789533854195 6616610119080 6947440625034 7719378472260 9263254166712 9924915178620 10688370192360 11579067708390 13894881250068 15438756944520 17368601562585 19849830357240 23158135416780 27789762500136 34737203125170 46316270833560 69474406250340 138948812500680
- Sum of all divisors σ(n): 587255556625920
- Sum of proper divisors (its aliquot sum) s(n): 448306744125240
- 138948812500680 is an abundant number, because the sum of its proper divisors (448306744125240) is greater than itself. Its abundance is 309357931624560
Bases of 138948812500680
- Binary: 111111001011111100010101001110001101110110010002
- Hexadecimal: 0x7E5F8A9C6EC8
- Base-36: 1D947BESI0
Squares and roots of 138948812500680
- 138948812500680 squared (1389488125006802) is 19306772495349126635000462400
- 138948812500680 cubed (1389488125006803) is 2682653111449551524142272593542700314432000
-
The
square root of 138948812500680 is 11787655.0891464415 -
The
cube root of 138948812500680 is 51794.6552254713
Scales and comparisons
How big is 138948812500680?- 138,948,812,500,680 seconds is equal to 4,418,142 years, 22 weeks, 6 days, 9 hours, 18 minutes.
-
To count from 1 to 138,948,812,500,680 would take you about eleven million, forty-five thousand, three hundred fifty-six 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 138948812500680 cubic inches would be around 4316.2 feet tall.
Recreational maths with 138948812500680
- 138948812500680 backwards is 086005218849831
- 138948812500680 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138948812500680's digits is 63
- More coming soon!
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The information we have on file for 138948812500680 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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