138176204617728

Names of 138176204617728

• Cardinal: 138176204617728 can be written as One hundred thirty-eight trillion, one hundred seventy-six billion, two hundred four million, six hundred seventeen thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 1.38176204617728 × 10¹⁴

Factors of 138176204617728

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 87

Divisors of 138176204617728

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 59 64 69 72 92 96 108 118 128 138 144 177 184 192 207 216 236 256 276 288 354 368 384 414 432 472 512 529 531 552 576 621 708 736 768 828 864 944 1024 1058 1062 1104 1152 1242 1357 1416 1472 1536 1587 1593 1656 1728 1888 2048 2116 2124 2208 2304 2484 2714 2832 2944 3072 3174 3186 3312 3456 3481 3776 4071 4232 4248 4416 4608 4761 4968 5428 5664 5888 6144 6348 6372 6624 6912 6962 7552 8142 8464 8496 8832 9216 9522 9936 10443 10856 11328 11776 12167 12213 12696 12744 13248 13824 13924 14283 15104 16284 16928 16992 17664 18432 19044 19872 20886 21712 22656 23552 24334 24426 25392 25488 26496 27648 27848 28566 30208 31211 31329 32568 33856 33984 35328 36501 36639 38088 39744 41772 43424 45312 47104 48668 48852 50784 50976 52992 55296 55696 57132 60416 62422 62658 65136 67712 67968 70656 73002 73278 76176 79488 80063 83544 86848 90624 93633 93987 97336 97704 101568 101952 105984 109503 111392 114264 120832 124844 125316 130272 135424 135936 141312 146004 146556 152352 158976 160126 167088 173696 181248 187266 187974 194672 195408 203136 203904 205379 211968 219006 222784 228528 240189 249688 250632 260544 270848 271872 280899 292008 293112 304704 317952 320252 328509 334176 347392 362496 374532 375948 389344 390816 406272 407808 410758 423936 438012 445568 457056 480378 499376 501264 521088 541696 543744 561798 584016 586224 609408 616137 635904 640504 657018 668352 694784 717853 720567 749064 751896 778688 781632 812544 815616 821516 842697 876024 891136 914112 960756 998752 1002528 1042176 1083392 1087488 1123596 1168032 1172448 1218816 1232274 1271808 1281008 1314036 1336704 1389568 1435706 1441134 1498128 1503792 1557376 1563264 1625088 1631232 1643032 1685394 1752048 1782272 1828224 1841449 1848411 1921512 1997504 2005056 2084352 2153559 2161701 2247192 2336064 2344896 2437632 2464548 2562016 2628072 2673408 2779136 2871412 2882268 2996256 3007584 3114752 3126528 3250176 3262464 3286064 3370788 3504096 3564544 3656448 3682898 3696822 3843024 3995008 4010112 4168704 4307118 4323402 4494384 4672128 4689792 4723717 4875264 4929096 5124032 5256144 5346816 5524347 5545233 5742824 5764536 5992512 6015168 6229504 6253056 6460677 6572128 6741576 7008192 7129088 7312896 7365796 7393644 7686048 7990016 8020224 8337408 8614236 8646804 8988768 9344256 9379584 9447434 9750528 9858192 10248064 10512288 10693632 11048694 11090466 11485648 11529072 11985024 12030336 12459008 12506112 12921354 13144256 13483152 14016384 14171151 14625792 14731592 14787288 15372096 15980032 16040448 16573041 17228472 17293608 17977536 18688512 18759168 18894868 19382031 19716384 20496128 21024576 21387264 22097388 22180932 22971296 23058144 23970048 24060672 24918016 25012224 25842708 26288512 26966304 28032768 28342302 29251584 29463184 29574576 30744192 31960064 32080896 33146082 34456944 34587216 35955072 37377024 37518336 37789736 38764062 39432768 40992256 42049152 42353327 42513453 44194776 44361864 45942592 46116288 47940096 48121344 49719123 51685416 52577024 53932608 56065536 56684604 58926368 59149152 61488384 63920128 64161792 66292164 68913888 69174432 71910144 74754048 75036672 75579472 77528124 78865536 81984512 84098304 84706654 85026906 88389552 88723728 91885184 92232576 95880192 96242688 99438246 103370832 105154048 107865216 108645491 112131072 113369208 117852736 118298304 122976768 127059981 127540359 132584328 137827776 138348864 143820288 151158944 155056248 157731072 163969024 168196608 169413308 170053812 176779104 177447456 183770368 184465152 191760384 192485376 198876492 206741664 210308096 215730432 217290982 224262144 226738416 235705472 236596608 245953536 254119962 255080718 265168656 275655552 276697728 287640576 302317888 310112496 315462144 325936473 336393216 338826616 340107624 353558208 354894912 367540736 368930304 381179943 397752984 413483328 420616192 431460864 434581964 453476832 471410944 473193216 491907072 508239924 510161436 530337312 551311104 553395456 575281152 604635776 620224992 630924288 651872946 672786432 677653232 680215248 707116416 709789824 735081472 737860608 762359886 795505968 826966656 862921728 869163928 906953664 942821888 946386432 977809419 1016479848 1020322872 1060674624 1102622208 1106790912 1143539829 1209271552 1240449984 1261848576 1303745892 1355306464 1360430496 1414232832 1419579648 1470162944 1475721216 1524719772 1591011936 1653933312 1725843456 1738327856 1813907328 1885643776 1892772864 1955618838 2032959696 2040645744 2121349248 2205244416 2213581824 2287079658 2418543104 2480899968 2498846293 2607491784 2710612928 2720860992 2828465664 2839159296 2933428257 3049439544 3182023872 3307866624 3476655712 3627814656 3771287552 3785545728 3911237676 4065919392 4081291488 4242698496 4410488832 4427163648 4574159316 4837086208 4961799936 4997692586 5214983568 5421225856 5441721984 5656931328 5678318592 5866856514 6098879088 6364047744 6615733248 6953311424 7255629312 7496538879 7822475352 8131838784 8162582976 8485396992 9148318632 9674172416 9923599872 9995385172 10429967136 10842451712 10883443968 11313862656 11356637184 11733713028 12197758176 12728095488 13231466496 13906622848 14511258624 14993077758 15644950704 16263677568 16325165952 16970793984 18296637264 19847199744 19990770344 20859934272 21684903424 21766887936 22489616637 23467426056 24395516352 25456190976 27813245696 29022517248 29986155516 31289901408 32527355136 32650331904 33941587968 36593274528 39694399488 39981540688 41719868544 43369806848 43533775872 44979233274 46934852112 48791032704 50912381952 55626491392 59972311032 62579802816 65054710272 65300663808 67468849911 73186549056 79963081376 83439737088 86739613696 87067551744 89958466548 93869704224 97582065408 101824763904 111252982784 119944622064 125159605632 130109420544 130601327616 134937699822 146373098112 159926162752 166879474176 179916933096 187739408448 195164130816 222505965568 239889244128 250319211264 260218841088 261202655232 269875399644 292746196224 319852325504 333758948352 359833866192 375478816896 390328261632 479778488256 500638422528 539750799288 585492392448 639704651008 667517896704 719667732384 750957633792 780656523264 959556976512 1001276845056 1079501598576 1170984784896 1279409302016 1439335464768 1501915267584 1919113953024 2002553690112 2159003197152 2341969569792 2558818604032 2878670929536 3003830535168 3838227906048 4318006394304 5117637208064 5757341859072 6007661070336 7676455812096 8636012788608 11514683718144 15352911624192 17272025577216 23029367436288 34544051154432 46058734872576 69088102308864 138176204617728
• Sum of all divisors σ(n): 435292341120000
• Sum of proper divisors (its aliquot sum) s(n): 297116136502272
• 138176204617728 is an abundant number, because the sum of its proper divisors (297116136502272) is greater than itself. Its abundance is 158939931884544

Bases of 138176204617728

• Binary: 11111011010101110100111100101111011100000000000₂
• Hexadecimal: 0x7DABA797B800
• Base-36: 1CZ99SMIO0

Squares and roots of 138176204617728

• 138176204617728 squared (138176204617728²) is 19092663522560236670611881984
• 138176204617728 cubed (138176204617728³) is 2638151781590714716950838087908845370212352
• The square root of 138176204617728 is 11754837.4985674727
• The cube root of 138176204617728 is 51698.4774605003

Scales and comparisons

• 138,176,204,617,728 seconds is equal to 4,393,575 years, 46 weeks, 5 days, 12 hours, 28 minutes, 48 seconds.
• To count from 1 to 138,176,204,617,728 would take you about ten million, nine hundred eighty-three thousand, nine hundred thirty-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 138176204617728 cubic inches would be around 4308.2 feet tall.

Recreational maths with 138176204617728

• 138176204617728 backwards is 827716402671831
• The number of decimal digits it has is: 15
• The sum of 138176204617728's digits is 63
• More coming soon!