138608316000

Names of 138608316000

• Cardinal: 138608316000 can be written as One hundred thirty-eight billion, six hundred eight million, three hundred sixteen thousand.

Scientific notation

• Scientific notation: 1.38608316 × 10¹¹

Factors of 138608316000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 1672

Divisors of 138608316000

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 28 30 31 32 33 35 36 40 42 44 45 48 50 55 56 60 62 63 66 70 72 75 77 80 84 88 90 93 96 99 100 105 110 112 120 124 125 126 132 140 144 150 154 155 160 165 168 175 176 180 186 198 200 210 217 220 224 225 231 240 248 250 252 264 275 279 280 288 300 308 310 315 330 336 341 350 352 360 372 375 385 396 400 420 434 440 450 462 465 480 495 496 500 504 525 528 550 558 560 600 616 620 630 651 660 672 682 693 700 720 744 750 770 775 792 800 825 840 868 875 880 900 924 930 990 992 1000 1008 1023 1050 1056 1085 1100 1116 1120 1125 1155 1200 1232 1240 1260 1302 1320 1364 1375 1386 1395 1400 1440 1488 1500 1540 1550 1575 1584 1613 1650 1680 1705 1736 1750 1760 1800 1848 1860 1925 1953 1980 2000 2016 2046 2100 2170 2200 2232 2250 2310 2325 2387 2400 2464 2475 2480 2520 2604 2625 2640 2728 2750 2772 2790 2800 2976 3000 3069 3080 3100 3150 3168 3226 3255 3300 3360 3410 3465 3472 3500 3600 3696 3720 3850 3875 3906 3960 4000 4092 4125 4200 4340 4400 4464 4500 4620 4650 4774 4839 4950 4960 5040 5115 5208 5250 5280 5425 5456 5500 5544 5580 5600 5775 6000 6138 6160 6200 6300 6452 6510 6600 6820 6930 6944 6975 7000 7161 7200 7392 7440 7700 7750 7812 7875 7920 8065 8184 8250 8400 8525 8680 8800 8928 9000 9240 9300 9548 9625 9678 9765 9900 10080 10230 10416 10500 10850 10912 11000 11088 11160 11291 11550 11625 11935 12000 12276 12320 12375 12400 12600 12904 13020 13200 13640 13860 13950 14000 14322 14517 14880 15345 15400 15500 15624 15750 15840 16130 16275 16368 16500 16800 17050 17325 17360 17743 18000 18480 18600 19096 19250 19356 19530 19800 20460 20832 21000 21483 21700 22000 22176 22320 22582 23100 23250 23870 24195 24552 24750 24800 25200 25575 25808 26040 26400 27125 27280 27720 27900 28000 28644 28875 29034 30690 30800 31000 31248 31500 32260 32550 32736 33000 33873 34100 34650 34720 34875 35486 35805 36000 36960 37200 38192 38500 38712 39060 39600 40325 40920 42000 42625 42966 43400 44000 44640 45164 46200 46500 47740 48390 48825 49104 49500 50003 50400 51150 51616 52080 53229 54250 54560 55440 55800 56455 57288 57750 58068 59675 61380 61600 62000 62496 63000 64520 65100 66000 67746 68200 69300 69750 70972 71610 72585 74400 76384 76725 77000 77424 78120 79200 80650 81375 81840 84000 85250 85932 86625 86800 88715 90328 92400 93000 95480 96780 97650 98208 99000 100006 101619 102300 104160 106458 107415 108500 110880 111600 112910 114576 115500 116136 119350 120975 122760 124000 124201 126000 127875 129040 130200 132000 135492 136400 138600 139500 141944 143220 145170 150009 153450 154000 154848 156240 159687 161300 162750 163680 169365 170500 171864 173250 173600 177430 179025 180656 184800 186000 190960 193560 195300 198000 200012 201625 203238 204600 212916 214830 217000 223200 225820 229152 231000 232272 238700 241950 244125 245520 248402 250015 252000 255750 258080 260400 266145 270984 272800 277200 279000 282275 283888 286440 290340 298375 300018 306900 308000 312480 319374 322600 325500 338730 341000 343728 346500 350021 354860 358050 361312 362925 372000 372603 381920 383625 387120 390600 396000 400024 403250 406476 409200 425832 429660 434000 443575 450027 451640 462000 464544 477400 483900 488250 491040 496804 500030 508095 511500 520800 532290 537075 541968 550033 554400 558000 564550 567776 572880 580680 596750 600036 604875 613800 621005 638748 645200 651000 677460 682000 687456 693000 700042 709720 716100 725850 745206 750045 767250 774240 781200 798435 800048 806500 812952 818400 846825 851664 859320 868000 887150 895125 900054 903280 924000 954800 967800 976500 993608 1000060 1016190 1023000 1050063 1064580 1074150 1083936 1100066 1116000 1117809 1129100 1145760 1161360 1193500 1200072 1209750 1227600 1242010 1250075 1277496 1290400 1302000 1330725 1354920 1364000 1386000 1400084 1411375 1419440 1432200 1451700 1490412 1500090 1534500 1562400 1596870 1600096 1613000 1625904 1650099 1693650 1703328 1718640 1750105 1774300 1790250 1800108 1806560 1814625 1863015 1909600 1935600 1953000 1987216 2000120 2032380 2046000 2100126 2129160 2148300 2200132 2217875 2235618 2250135 2258200 2322720 2387000 2400144 2419500 2455200 2484020 2500150 2540475 2554992 2604000 2661450 2685375 2709840 2750165 2772000 2800168 2822750 2838880 2864400 2903400 2980824 3000180 3069000 3105025 3150189 3193740 3226000 3251808 3300198 3387300 3437280 3500210 3548600 3580500 3600216 3629250 3726030 3750225 3850231 3871200 3906000 3974432 3992175 4000240 4064760 4092000 4200252 4234125 4258320 4296600 4400264 4435750 4471236 4500270 4516400 4774000 4800288 4839000 4950297 4968040 5000300 5080950 5109984 5250315 5322900 5370750 5419680 5500330 5589045 5600336 5645500 5728800 5806800 5961648 6000360 6138000 6210050 6250375 6300378 6387480 6452000 6600396 6653625 6774600 7000420 7097200 7161000 7200432 7258500 7452060 7500450 7700462 7812000 7984350 8000480 8129520 8250495 8400504 8468250 8516640 8593200 8750525 8800528 8871500 8942472 9000540 9032800 9315075 9548000 9678000 9900594 9936080 10000600 10161900 10500630 10645800 10741500 11000660 11178090 11200672 11250675 11291000 11550693 11613600 11923296 12000720 12276000 12420100 12500750 12600756 12702375 12774960 13200792 13307250 13549200 13750825 14000840 14194400 14322000 14400864 14517000 14904120 15000900 15400924 15525125 15750945 15968700 16259040 16500990 16801008 16936500 17186400 17501050 17601056 17743000 17884944 18001080 18630150 18751125 19251155 19356000 19801188 19872160 19960875 20001200 20323800 21001260 21291600 21483000 22001320 22356180 22501350 22582000 23101386 24001440 24751485 24840200 25001500 25201512 25404750 25549920 26251575 26401584 26614500 27098400 27501650 27945225 28001680 28644000 29034000 29808240 30001800 30801848 31050250 31501890 31937400 33001980 33602016 33873000 34652079 35002100 35486000 35769888 36002160 37260300 37502250 38502310 39602376 39921750 40002400 40647600 41252475 42002520 42583200 42966000 43752625 44002640 44712360 45002700 45164000 46202772 46575375 49502970 49680400 50003000 50403024 50809500 52503150 52803168 53229000 55003300 55890450 56003360 56253375 57753465 58068000 59616480 60003600 61603696 62100500 63003780 63874800 66003960 67746000 68754125 69304158 70004200 70972000 72004320 74520600 75004500 77004620 78754725 79204752 79843500 81295200 82504950 84005040 85932000 87505250 88005280 89424720 90005400 92405544 93150750 96255775 99005940 99360800 100006000 100806048 101619000 105006300 106458000 110006600 111780900 112506750 115506930 120007200 123207392 123757425 124201000 126007560 127749600 131257875 132007920 135492000 137508250 138608316 139726125 140008400 149041200 150009000 154009240 157509450 158409504 159687000 165009900 168010080 173260395 175010500 178849440 180010800 184811088 186301500 192511550 198011880 200012000 203238000 206262375 210012600 212916000 220013200 223561800 225013500 231013860 247514850 248402000 252015120 262515750 264015840 275016500 277216632 279452250 280016800 288767325 298082400 300018000 308018480 315018900 319374000 330019800 346520790 350021000 360021600 369622176 372603000 385023100 393773625 396023760 406476000 412524750 420025200 440026400 447123600 450027000 462027720 481278875 495029700 496804000 504030240 525031500 550033000 554433264 558904500 577534650 600036000 616036960 618787125 630037800 638748000 660039600 693041580 700042000 745206000 770046200 787547250 792047520 825049500 840050400 866301975 894247200 900054000 924055440 962557750 990059400 1050063000 1100066000 1108866528 1117809000 1155069300 1237574250 1260075600 1320079200 1386083160 1400084000 1443836625 1490412000 1540092400 1575094500 1650099000 1732603950 1800108000 1848110880 1925115500 1980118800 2100126000 2200132000 2235618000 2310138600 2475148500 2520151200 2772166320 2887673250 3080184800 3150189000 3300198000 3465207900 3850231000 3960237600 4200252000 4331509875 4471236000 4620277200 4950297000 5544332640 5775346500 6300378000 6600396000 6930415800 7700462000 8663019750 9240554400 9900594000 11550693000 12600756000 13860831600 15400924000 17326039500 19801188000 23101386000 27721663200 34652079000 46202772000 69304158000 138608316000
• Sum of all divisors σ(n): 633480486912
• Sum of proper divisors (its aliquot sum) s(n): 494872170912
• 138608316000 is an abundant number, because the sum of its proper divisors (494872170912) is greater than itself. Its abundance is 356263854912

Bases of 138608316000

• Binary: 10000001000101101100110000111001100000₂
• Hexadecimal: 0x2045B30E60
• Base-36: 1ROBT940

Squares and roots of 138608316000

• 138608316000 squared (138608316000²) is 19212265264355856000000
• 138608316000 cubed (138608316000³) is 2662979734837660024898496000000000
• The square root of 138608316000 is 372301.3779184813
• The cube root of 138608316000 is 5175.2312716077

Scales and comparisons

• 138,608,316,000 seconds is equal to 4,407 years, 16 weeks, 2 days, 22 hours.
• To count from 1 to 138,608,316,000 would take you about eight thousand, eight hundred fourteen 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 138608316000 cubic inches would be around 431.3 feet tall.

Recreational maths with 138608316000

• 138608316000 backwards is 000613806831
• 138608316000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138608316000's digits is 36
• More coming soon!