138971344512

Names of 138971344512

• Cardinal: 138971344512 can be written as One hundred thirty-eight billion, nine hundred seventy-one million, three hundred forty-four thousand, five hundred twelve.

Scientific notation

• Scientific notation: 1.38971344512 × 10¹¹

Factors of 138971344512

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 202

Divisors of 138971344512

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 29 32 33 39 42 44 48 49 52 56 58 64 66 77 78 84 87 88 91 96 98 104 112 116 128 132 137 143 147 154 156 168 169 174 176 182 192 196 203 208 224 231 232 264 273 274 286 294 308 312 319 336 338 348 352 364 377 384 392 406 411 416 429 448 462 464 507 528 539 546 548 572 588 609 616 624 637 638 672 676 696 704 728 754 784 812 822 832 858 896 924 928 957 959 1001 1014 1056 1078 1092 1096 1131 1144 1176 1183 1218 1232 1248 1274 1276 1344 1352 1392 1408 1421 1456 1507 1508 1568 1617 1624 1644 1664 1716 1781 1848 1856 1859 1911 1914 1918 2002 2028 2112 2156 2184 2192 2233 2262 2288 2352 2366 2436 2464 2496 2548 2552 2639 2688 2704 2784 2842 2877 2912 3003 3014 3016 3136 3234 3248 3288 3432 3549 3562 3696 3712 3718 3822 3828 3836 3973 4004 4056 4147 4224 4263 4312 4368 4384 4466 4521 4524 4576 4704 4732 4872 4901 4928 4992 5096 5104 5278 5343 5408 5568 5577 5684 5754 5824 6006 6028 6032 6272 6468 6496 6576 6699 6713 6864 7007 7098 7124 7392 7436 7644 7656 7672 7917 7946 8008 8112 8281 8294 8526 8624 8736 8768 8932 9042 9048 9152 9408 9464 9744 9802 9856 10192 10208 10549 10556 10686 10816 11136 11154 11368 11508 11648 11919 12012 12056 12064 12441 12467 12936 12992 13013 13152 13398 13426 13728 14014 14196 14248 14703 14784 14872 15288 15312 15344 15631 15834 15892 16016 16224 16562 16588 17052 17248 17472 17536 17864 18084 18096 18304 18473 18816 18928 19488 19591 19604 20139 20384 20416 21021 21098 21112 21372 21632 22308 22736 23016 23153 23838 24024 24112 24128 24843 24882 24934 25872 25984 26026 26304 26796 26852 27456 27811 28028 28392 28496 29029 29406 29568 29744 30576 30624 30688 31262 31647 31668 31784 32032 32448 33124 33176 34104 34307 34496 34944 35728 36168 36192 36946 37401 37856 38976 39039 39182 39208 40278 40768 40832 42042 42196 42224 42744 43703 44616 45472 46032 46306 46893 47676 48048 48224 48256 49686 49764 49868 51649 51744 52052 52608 53592 53704 53911 54912 55419 55622 56056 56784 56992 58058 58773 58812 59488 61152 61248 61376 62524 63294 63336 63568 64064 64896 66248 66352 68208 68614 68992 69459 71456 72336 72384 73843 73892 74802 75712 77952 78078 78364 78416 80556 81536 83433 84084 84392 84448 85488 87087 87269 87406 89232 90944 91091 92064 92612 93786 95352 96096 96448 99372 99528 99736 102921 103298 103488 104104 107184 107408 107822 110838 111244 112112 113568 113984 116116 117546 117624 118976 122304 122496 122752 125048 126588 126672 127136 128128 131109 132496 132704 136416 137137 137228 138918 142912 144672 144768 147686 147784 149604 151424 154947 156156 156728 156832 161112 161733 162071 166866 168168 168784 168896 170976 174174 174538 174812 178464 181888 182182 184128 185224 187572 190704 192192 192896 194677 198744 199056 199472 203203 205842 206596 206976 208208 214368 214816 215644 221529 221676 222488 224224 227136 227968 232232 235092 235248 237952 240149 244608 250096 253176 253344 254272 254683 261807 262218 264992 265408 272832 273273 274274 274456 277836 285824 289344 295372 295568 299208 305921 309894 312312 313456 313664 322224 323466 324142 333732 336336 337568 337792 341952 348348 349076 349624 356928 361543 364364 368256 370448 375144 377377 381408 384384 389354 397488 398112 398944 406406 411411 411684 413192 416416 428736 429632 431288 443058 443352 444976 448448 454272 464464 470184 470496 480298 486213 500192 506352 506688 508544 509366 523614 524436 529984 530816 545664 546546 548548 548912 555672 568139 578688 584031 590744 591136 598416 609609 611842 619788 624624 626912 627328 644448 646932 648284 667464 671437 672672 675136 683904 696696 698152 699248 713856 720447 723086 728728 740896 750288 754754 762816 764049 778708 794976 796224 797888 812812 822822 823368 826384 832832 857472 859264 862576 886116 886704 889952 896896 917763 928928 940368 940992 959959 960596 972426 1000384 1012704 1013376 1018732 1047228 1048872 1059968 1084629 1093092 1097096 1097824 1111344 1132131 1134497 1136278 1168062 1181488 1182272 1196832 1219218 1223684 1239576 1249248 1253824 1288896 1293864 1296568 1334928 1342874 1345344 1350272 1393392 1396304 1398496 1440894 1446172 1457456 1481792 1500576 1509508 1525632 1528098 1557416 1589952 1592448 1595776 1625624 1645644 1646736 1652768 1665664 1704417 1725152 1772232 1773408 1779904 1782781 1835526 1857856 1880736 1881984 1919918 1921192 1944852 2000768 2014311 2025408 2037464 2094456 2097744 2141447 2169258 2186184 2194192 2195648 2222688 2264262 2268994 2272556 2336124 2362976 2364544 2393664 2438436 2447368 2479152 2498496 2507648 2530801 2577792 2587728 2593136 2641639 2669856 2685748 2690688 2786784 2792608 2796992 2879877 2881788 2892344 2914912 2963584 3001152 3019016 3056196 3114832 3179904 3251248 3291288 3293472 3305536 3403491 3408834 3450304 3544464 3546816 3559808 3565562 3671052 3715712 3761472 3839836 3842384 3889704 3976973 4028622 4050816 4074928 4188912 4195488 4282894 4338516 4372368 4388384 4391296 4445376 4528524 4537988 4545112 4672248 4700059 4725952 4787328 4876872 4894736 4958304 4996992 5061602 5175456 5186272 5283278 5339712 5348343 5371496 5573568 5585216 5593984 5759754 5763576 5784688 5829824 6002304 6038032 6112392 6229664 6424341 6502496 6582576 6586944 6611072 6806982 6817668 6900608 7088928 7093632 7131124 7342104 7385807 7522944 7592403 7679672 7684768 7779408 7924917 7953946 8057244 8149856 8377824 8390976 8565788 8677032 8744736 8776768 8890752 9057048 9075976 9090224 9344496 9400118 9451904 9753744 9789472 9916608 10123204 10350912 10372544 10566556 10679424 10696686 10742992 11147136 11170432 11519508 11527152 11569376 11659648 11930919 12076064 12224784 12459328 12479467 12848682 13004992 13165152 13173888 13613964 13635336 14100177 14177856 14262248 14684208 14771614 15184806 15359344 15369536 15558816 15849834 15907892 16114488 16299712 16755648 16781952 17131576 17354064 17489472 17553536 18114096 18151952 18180448 18688992 18800236 19507488 19578944 19833216 20246408 20701824 20745088 21133112 21393372 21485984 22157421 23039016 23054304 23138752 23861838 24152128 24449568 24918656 24958934 25697364 26009984 26330304 27227928 27270672 27838811 28200354 28355712 28524496 29368416 29543228 30369612 30718688 30739072 31117632 31699668 31815784 32228976 32599424 32900413 33511296 34263152 34708128 34978944 36228192 36303904 36360896 37377984 37438401 37600472 39014976 39157888 40492816 42266224 42786744 42971968 44314842 46078032 46108608 46277504 47723676 48304256 48899136 49917868 51394728 51700649 52660608 54455856 54541344 55677622 56400708 57048992 58736832 59086456 60739224 61437376 62235264 63399336 63631568 64457952 65800826 68526304 69416256 72456384 72607808 72721792 74755968 74876802 75200944 78029952 80985632 83516433 84532448 85573488 85943936 88629684 92156064 92217216 95447352 97798272 98701239 99835736 102789456 103401298 108911712 109082688 111355244 112801416 114097984 117473664 118172912 121478448 122874752 126798672 127263136 128915904 131601652 137052608 138832512 144912768 145215616 149753604 150401888 155101947 161971264 167032866 169064896 171146976 177259368 184312128 190894704 197402478 199671472 205578912 206802596 217823424 218165376 222710488 225602832 228195968 236345824 242956896 253597344 254526272 257831808 263203304 274105216 299507208 300803776 310203894 323942528 334065732 338129792 342293952 354518736 361904543 368624256 381789408 394804956 399342944 411157824 413605192 435646848 445420976 451205664 472691648 485913792 507194688 509052544 526406608 599014416 601607552 620407788 668131464 684587904 709037472 723809086 763578816 789609912 798685888 822315648 827210384 890841952 902411328 945383296 971827584 1014389376 1052813216 1085713629 1198028832 1240815576 1336262928 1418074944 1447618172 1527157632 1579219824 1597371776 1654420768 1781683904 1804822656 2105626432 2171427258 2396057664 2481631152 2672525856 2836149888 2895236344 3158439648 3308841536 3563367808 4211252864 4342854516 4792115328 4963262304 5345051712 5790472688 6316879296 6617683072 8685709032 9926524608 10690103424 11580945376 12633758592 17371418064 19853049216 23161890752 34742836128 46323781504 69485672256 138971344512
• Sum of all divisors σ(n): 528576321600
• Sum of proper divisors (its aliquot sum) s(n): 389604977088
• 138971344512 is an abundant number, because the sum of its proper divisors (389604977088) is greater than itself. Its abundance is 250633632576

Bases of 138971344512

• Binary: 10000001011011010101100110111010000000₂
• Hexadecimal: 0x205B566E80
• Base-36: 1RUBY7PC

Squares and roots of 138971344512

• 138971344512 squared (138971344512²) is 19313034595472992518144
• 138971344512 cubed (138971344512³) is 2683958384339651798830588234825728
• The square root of 138971344512 is 372788.6056627805
• The cube root of 138971344512 is 5179.7454756847

Scales and comparisons

• 138,971,344,512 seconds is equal to 4,418 years, 44 weeks, 4 days, 15 hours, 15 minutes, 12 seconds.
• To count from 1 to 138,971,344,512 would take you about eight thousand, eight hundred thirty-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 138971344512 cubic inches would be around 431.6 feet tall.

Recreational maths with 138971344512

• 138971344512 backwards is 215443179831
• 138971344512 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138971344512's digits is 48
• More coming soon!