138768984900

Names of 138768984900

• Cardinal: 138768984900 can be written as One hundred thirty-eight billion, seven hundred sixty-eight million, nine hundred eighty-four thousand, nine hundred.

Scientific notation

• Scientific notation: 1.387689849 × 10¹¹

Factors of 138768984900

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 410

Divisors of 138768984900

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 25 26 28 30 35 36 39 42 45 49 50 52 60 63 65 70 75 78 84 90 91 98 100 105 117 126 130 140 147 150 151 156 175 180 182 195 196 210 225 229 234 245 252 260 273 294 300 302 315 325 343 350 364 390 420 441 450 453 455 458 468 490 525 546 585 588 604 630 637 650 686 687 700 735 755 780 819 882 900 906 910 916 975 980 1029 1050 1057 1092 1145 1170 1225 1260 1274 1300 1359 1365 1372 1374 1470 1510 1575 1603 1638 1715 1764 1812 1820 1911 1950 1963 2058 2061 2100 2114 2205 2265 2275 2290 2340 2450 2548 2718 2730 2748 2925 2940 2977 3020 3087 3150 3171 3185 3206 3276 3430 3435 3675 3775 3822 3900 3926 4095 4116 4122 4228 4410 4459 4530 4550 4580 4809 4900 5145 5285 5436 5460 5725 5733 5850 5889 5954 6174 6300 6342 6370 6412 6795 6825 6860 6870 7350 7399 7550 7644 7852 8015 8190 8244 8575 8820 8918 8931 9060 9100 9513 9555 9618 9815 10290 10305 10570 11025 11221 11325 11450 11466 11700 11778 11908 12348 12684 12740 13377 13590 13650 13740 13741 14427 14700 14798 14885 15100 15435 15855 15925 16030 16380 17150 17175 17667 17836 17862 19026 19110 19236 19630 20475 20580 20610 20839 21140 22050 22197 22295 22442 22650 22900 22932 23556 24045 25725 26425 26754 26793 27180 27300 27482 28665 28854 29445 29596 29770 30870 31710 31850 32060 33663 33975 34300 34350 34579 35334 35724 36995 38052 38220 39260 40075 40131 40950 41220 41223 41678 44100 44394 44590 44655 44884 45300 47565 47775 48090 49075 51450 51525 51793 52850 53508 53586 54964 56105 57330 57708 58890 59540 61740 62517 63420 63700 66591 66885 67326 67950 68700 68705 69158 70668 72135 73990 74425 77175 78547 79275 80150 80262 81900 82446 83356 88335 88788 89180 89310 95130 95550 96180 96187 98150 100989 102900 103050 103586 103737 104195 105700 107172 110985 111475 112210 114660 117780 120225 123669 125034 133182 133770 133965 134652 135900 137410 138316 143325 144270 145873 147225 147980 148850 154350 155379 157094 158550 160300 160524 164892 168315 172895 176670 178620 184975 187551 190260 191100 192374 196300 200655 201978 206100 206115 207172 207474 208390 221970 222950 223275 224420 235641 237825 240450 242053 247338 250068 258965 266364 267540 267930 274820 280525 286650 288540 288561 291746 294450 297700 308700 310758 311211 312585 314188 317100 332955 334425 336630 343525 345790 353340 360675 369950 375102 384748 392735 401310 403956 412230 414948 416780 437619 441675 443940 445900 446550 449527 466137 471282 475650 480900 480935 484106 494676 504945 517930 518685 520975 535860 554925 561050 573300 577122 583492 588900 618345 621516 622422 625170 665910 668850 669825 673260 673309 687050 691580 706923 721350 726159 729365 739900 750204 776895 785470 802620 824460 841575 864475 865683 875238 883350 893100 899054 932274 937755 942564 951300 961870 968212 1003275 1009890 1021111 1030575 1035860 1037370 1041950 1109850 1122100 1154244 1178205 1210265 1236690 1244844 1250340 1294825 1312857 1331820 1337700 1339650 1346618 1348581 1374100 1413846 1442700 1442805 1452318 1458730 1553790 1556055 1562925 1570940 1664775 1683150 1694371 1728950 1731366 1750476 1766700 1798108 1864548 1875510 1923740 1963675 2006550 2019780 2019927 2042222 2061150 2074740 2083900 2178477 2188095 2219700 2247635 2330685 2356410 2404675 2420530 2473380 2524725 2589650 2593425 2625714 2679300 2693236 2697162 2827692 2885610 2904636 2917460 3063333 3091725 3107580 3112110 3125850 3146689 3329550 3366300 3366545 3388742 3457900 3462732 3534615 3630795 3646825 3751020 3884475 3927350 4013100 4039854 4045743 4084444 4122300 4328415 4356954 4376190 4495270 4661370 4688775 4712820 4809350 4841060 5049450 5083113 5105555 5179300 5186850 5251428 5394324 5771220 5891025 6051325 6059781 6126666 6183450 6224220 6251700 6293378 6564285 6659100 6733090 6742905 6777484 7069230 7214025 7261590 7293650 7768950 7780275 7854700 8079708 8091486 8471855 8656830 8713908 8752380 8990540 9189999 9322740 9377550 9440067 9618700 10098900 10099635 10166226 10211110 10373700 10892385 10940475 11238175 11653425 11782050 11860597 12102650 12119562 12253332 12366900 12586756 13128570 13466180 13485810 14138460 14428050 14523180 14587300 15249339 15316665 15537900 15560550 15733445 16182972 16832725 16943710 17313660 17673075 18153975 18379998 18755100 18880134 20199270 20228715 20332452 20422220 21642075 21784770 21880950 22026823 22476350 23306850 23564100 23721194 24205300 24239124 25415565 25527775 26257140 26971620 28320201 28856100 30298905 30498678 30633330 31121100 31466890 32821425 33665450 33714525 33887420 35346150 35581791 36307950 36759996 37760268 40398540 40457430 42359275 43284150 43569540 43761900 44053646 44952700 45949995 46613700 47200335 47442388 50498175 50831130 51055550 54461925 56640402 59302985 60597810 60997356 61266660 62933780 65642850 66080469 67330900 67429050 70692300 71163582 72615900 76246695 76583325 78667225 80914860 84718550 86568300 88107292 91899990 94400670 100996350 101143575 101662260 102111100 106745373 108923850 110134115 113280804 118605970 121195620 127077825 131285700 132160938 134858100 141601005 142327164 151494525 152493390 153166650 154187761 157334450 169437100 177908955 183799980 188801340 198241407 201992700 202287150 213490746 217847700 220268230 229749975 236001675 237211940 254155650 264321876 283202010 296514925 302989050 304986780 306333300 308375522 314668900 330402345 355817910 381233475 396482814 404574300 426981492 440536460 459499950 462563283 472003350 508311300 533726865 550670575 566404020 593029850 605978100 616751044 660804690 708005025 711635820 762466950 770938805 792965628 889544775 918999900 925126566 944006700 991207035 1067453730 1101341150 1186059700 1321609380 1387689849 1416010050 1524933900 1541877610 1652011725 1779089550 1850253132 1982414070 2134907460 2202682300 2312816415 2668634325 2775379698 2832020100 3083755220 3304023450 3558179100 3854694025 3964828140 4625632830 4956035175 5337268650 5550759396 6608046900 6938449245 7709388050 9251265660 9912070350 10674537300 11564082075 13876898490 15418776100 19824140700 23128164150 27753796980 34692246225 46256328300 69384492450 138768984900
• Sum of all divisors σ(n): 552284096000
• Sum of proper divisors (its aliquot sum) s(n): 413515111100
• 138768984900 is an abundant number, because the sum of its proper divisors (413515111100) is greater than itself. Its abundance is 274746126200

Bases of 138768984900

• Binary: 10000001001111010001101010101101000100₂
• Hexadecimal: 0x204F46AB44
• Base-36: 1RQZGY10

Squares and roots of 138768984900

• 138768984900 squared (138768984900²) is 19256831170176428010000
• 138768984900 cubed (138768984900³) is 2672250913876062068855627049000000
• The square root of 138768984900 is 372517.0934333081
• The cube root of 138768984900 is 5177.2301359063

Scales and comparisons

• 138,768,984,900 seconds is equal to 4,412 years, 22 weeks, 12 hours, 15 minutes.
• To count from 1 to 138,768,984,900 would take you about eight thousand, eight hundred twenty-four 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 138768984900 cubic inches would be around 431.4 feet tall.

Recreational maths with 138768984900

• 138768984900 backwards is 009489867831
• 138768984900 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138768984900's digits is 63
• More coming soon!