138828290103534080

Names of 138828290103534080

• Cardinal: 138828290103534080 can be written as One hundred thirty-eight quadrillion, eight hundred twenty-eight trillion, two hundred ninety billion, one hundred three million, five hundred thirty-four thousand and eighty.

Scientific notation

• Scientific notation: 1.3882829010353408 × 10¹⁷

Factors of 138828290103534080

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 446225

Divisors of 138828290103534080

• Number of divisors d(n): 1280
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 17 19 20 28 31 32 34 35 38 40 56 62 64 68 70 76 80 85 95 112 119 124 128 133 136 140 152 155 160 170 190 217 224 238 248 256 266 272 280 304 310 320 323 340 380 434 448 476 496 512 527 532 544 560 589 595 608 620 640 646 665 680 760 868 896 952 992 1054 1064 1085 1088 1120 1178 1190 1216 1240 1280 1292 1330 1360 1520 1615 1736 1741 1792 1904 1984 2108 2128 2170 2176 2240 2261 2356 2380 2432 2480 2560 2584 2635 2660 2720 2945 3040 3230 3472 3482 3584 3689 3808 3968 4123 4216 4256 4340 4352 4480 4522 4712 4760 4864 4960 5168 5270 5320 5440 5890 6080 6460 6944 6964 7378 7616 7936 8246 8432 8512 8680 8704 8705 8960 9044 9424 9520 9728 9920 10013 10336 10540 10640 10880 11305 11780 12160 12187 12920 13888 13928 14756 15232 15872 16492 16864 17024 17360 17410 17920 18088 18445 18848 19040 19840 20026 20615 20672 21080 21280 21760 22610 23560 24320 24374 25840 27776 27856 29512 29597 30464 32984 33079 33728 34048 34720 34820 36176 36890 37696 38080 39680 40052 41230 41344 42160 42560 43520 45220 47120 48640 48748 50065 51680 53971 55552 55712 59024 59194 60928 60935 65968 66158 67456 68096 69440 69640 70091 72352 73780 75392 76160 79360 80104 82460 82688 84320 85120 90440 94240 97496 100130 103360 107942 111104 111424 118048 118388 121870 131936 132316 134912 138880 139280 140182 144704 147560 147985 150784 152320 160208 164920 165376 165395 168640 170240 180880 188480 194992 200260 206720 207179 215884 222848 231553 236096 236776 243740 263872 264632 269824 269855 277760 278560 280364 289408 295120 295970 301568 304640 320416 329840 330790 337280 340480 350455 361760 376960 377797 389984 400520 413440 414358 431768 444403 445696 463106 472192 473552 487480 527744 529264 539710 555520 557120 560728 562343 578816 590240 591940 640832 659680 661580 674560 700910 723520 753920 755594 779968 801040 826880 828716 863536 888806 891392 917507 926212 944384 947104 974960 1025449 1035895 1055488 1058528 1079420 1114240 1121456 1124686 1157632 1157765 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6379976567258 6523885813136 6585782262976 6715764807640 6734333742592 6932402382080 6997393654412 7291401791152 7365677530960 7526608300544 7675159780160 7747114403099 7974054572288 7997021319328 8154857266420 8232227828720 8417917178240 8746742068015 9114252238940 9408260375680 9967568215360 9996276649160 10745223692224 11391506531840 11416800172988 11785084049536 12280255648256 12759953134516 13047771626272 13171564525952 13431529615280 13864804764160 13994787308824 14271000216235 14582803582304 14731355061920 15350319560320 15494228806198 15948109144576 15949941418145 15994042638656 16309714532840 16464455657440 16835834356480 17493484136030 18228504477880 18816520751360 19935136430720 19992553298320 21490447384448 22833600345976 23570168099072 25519906269032 26095543252544 26343129051904 26863059230560 27989574617648 28542000432470 29165607164608 29462710123840 30700639120640 30988457612396 31899882836290 31988085277312 32619429065680 32928911314880 33671668712960 34986968272060 36457008955760 37633041502720 38735572015495 39870272861440 39985106596640 42980894768896 45667200691952 47140336198144 51039812538064 52191086505088 52686258103808 53726118461120 54229800821693 55979149235296 57084000864940 58331214329216 58925420247680 61401278241280 61976915224792 63799765672580 63976170554624 65238858131360 65857822629760 69973936544120 72914017911520 77471144030990 79740545722880 79970213193280 85961789537792 91334401383904 102079625076128 104382173010176 107452236922240 108459601643386 111958298470592 114168001729880 116662428658432 117850840495360 123953830449584 127599531345160 127952341109248 130477716262720 131715645259520 139947873088240 145828035823040 154942288061980 159940426386560 182668802767808 204159250152256 208764346020352 214904473844480 216919203286772 223916596941184 228336003459760 233324857316864 235701680990720 247907660899168 255199062690320 260955432525440 263431290519040 271149004108465 279895746176480 291656071646080 309884576123960 319880852773120 365337605535616 408318500304512 429808947688960 433838406573544 447833193882368 456672006919520 495815321798336 510398125380640 521910865050880 542298008216930 559791492352960 583312143292160 619769152247920 639761705546240 730675211071232 816637000609024 867676813147088 895666387764736 913344013839040 991630643596672 1020796250761280 1043821730101760 1084596016433860 1119582984705920 1166624286584320 1239538304495840 1461350422142464 1633274001218048 1735353626294176 1826688027678080 1983261287193344 2041592501522560 2169192032867720 2239165969411840 2479076608991680 3470707252588352 3653376055356160 3966522574386688 4083185003045120 4338384065735440 4478331938823680 4958153217983360 6941414505176704 7306752110712320 8166370006090240 8676768131470880 9916306435966720 13882829010353408 17353536262941760 19832612871933440 27765658020706816 34707072525883520 69414145051767040 138828290103534080
• Sum of all divisors σ(n): 437920685750845440
• Sum of proper divisors (its aliquot sum) s(n): 299092395647311360
• 138828290103534080 is an abundant number, because the sum of its proper divisors (299092395647311360) is greater than itself. Its abundance is 160264105543777280

Bases of 138828290103534080

• Binary: 111101101001101111001100000100100011001010110001000000000₂
• Hexadecimal: 0x1ED379824656200
• Base-36: 11YYIS0VEXVK

Squares and roots of 138828290103534080

• 138828290103534080 squared (138828290103534080²) is 19273294133071018576965705721446400
• 138828290103534080 cubed (138828290103534080³) is 2675678469156724734235287796980673572076689293312000
• The square root of 138828290103534080 is 372596685.5777625943
• The cube root of 138828290103534080 is 517796.7555627147

Scales and comparisons

• 138,828,290,103,534,080 seconds is equal to 4,414,310,201 years, 10 weeks, 1 day, 8 hours, 21 minutes, 20 seconds.
• To count from 1 to 138,828,290,103,534,080 would take you about thirteen billion, two hundred forty-two million, nine hundred thirty thousand, six hundred three 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 138828290103534080 cubic inches would be around 43149.7 feet tall.

Recreational maths with 138828290103534080

• 138828290103534080 backwards is 080435301092828831
• The number of decimal digits it has is: 18
• The sum of 138828290103534080's digits is 65
• More coming soon!