138541708800

Names of 138541708800

• Cardinal: 138541708800 can be written as One hundred thirty-eight billion, five hundred forty-one million, seven hundred eight thousand, eight hundred.

Scientific notation

• Scientific notation: 1.385417088 × 10¹¹

Factors of 138541708800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 3334

Divisors of 138541708800

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 64 66 72 75 80 88 90 96 99 100 108 110 120 121 128 132 135 144 150 160 165 176 180 192 198 200 216 220 225 240 242 256 264 270 275 288 297 300 320 330 352 360 363 384 396 400 432 440 450 480 484 495 512 528 540 550 576 594 600 605 640 660 675 704 720 726 768 792 800 825 864 880 900 960 968 990 1056 1080 1089 1100 1152 1188 1200 1210 1280 1320 1350 1408 1440 1452 1485 1536 1584 1600 1650 1728 1760 1800 1815 1920 1936 1980 2112 2160 2178 2200 2304 2376 2400 2420 2475 2560 2640 2700 2816 2880 2904 2970 3025 3168 3200 3267 3300 3313 3456 3520 3600 3630 3840 3872 3960 4224 4320 4356 4400 4608 4752 4800 4840 4950 5280 5400 5445 5632 5760 5808 5940 6050 6336 6400 6534 6600 6626 6912 7040 7200 7260 7425 7680 7744 7920 8448 8640 8712 8800 9075 9504 9600 9680 9900 9939 10560 10800 10890 11520 11616 11880 12100 12672 12800 13068 13200 13252 13824 14080 14400 14520 14850 15488 15840 16335 16565 16896 17280 17424 17600 18150 19008 19200 19360 19800 19878 21120 21600 21780 23040 23232 23760 24200 25344 26136 26400 26504 27225 28160 28800 29040 29700 29817 30976 31680 32670 33130 34560 34848 35200 36300 36443 38016 38400 38720 39600 39756 42240 43200 43560 46464 47520 48400 49695 50688 52272 52800 53008 54450 57600 58080 59400 59634 61952 63360 65340 66260 69120 69696 70400 72600 72886 76032 77440 79200 79512 81675 82825 84480 86400 87120 89451 92928 95040 96800 99390 104544 105600 106016 108900 109329 115200 116160 118800 119268 126720 130680 132520 139392 140800 145200 145772 149085 152064 154880 158400 159024 163350 165650 172800 174240 178902 182215 185856 190080 193600 198780 209088 211200 212032 217800 218658 232320 237600 238536 248475 253440 261360 265040 278784 290400 291544 298170 309760 316800 318048 326700 327987 331300 345600 348480 357804 364430 380160 387200 397560 400873 418176 422400 424064 435600 437316 447255 464640 475200 477072 496950 522720 530080 546645 557568 580800 583088 596340 633600 636096 653400 655974 662600 696960 715608 728860 745425 760320 774400 795120 801746 836352 848128 871200 874632 894510 911075 929280 950400 954144 983961 993900 1045440 1060160 1093290 1161600 1166176 1192680 1202619 1267200 1272192 1306800 1311948 1325200 1393920 1431216 1457720 1490850 1548800 1590240 1603492 1639935 1672704 1696256 1742400 1749264 1789020 1822150 1900800 1908288 1967922 1987800 2004365 2090880 2120320 2186580 2236275 2323200 2332352 2385360 2405238 2544384 2613600 2623896 2650400 2733225 2787840 2862432 2915440 2981700 3180480 3206984 3279870 3484800 3498528 3578040 3607857 3644300 3801600 3816576 3935844 3975600 4008730 4181760 4240640 4373160 4472550 4646400 4664704 4770720 4810476 4919805 5088768 5227200 5247792 5300800 5466450 5724864 5830880 5963400 6013095 6360960 6413968 6559740 6969600 6997056 7156080 7215714 7288600 7633152 7871688 7951200 8017460 8199675 8363520 8481280 8746320 8945100 9329408 9541440 9620952 9839610 10021825 10454400 10495584 10601600 10823571 10932900 11449728 11661760 11926800 12026190 12721920 12827936 13119480 13939200 13994112 14312160 14431428 14577200 15266304 15743376 15902400 16034920 16399350 17492640 17890200 18039285 18658816 19082880 19241904 19679220 20043650 20908800 20991168 21203200 21647142 21865800 22899456 23323520 23853600 24052380 24599025 25443840 25655872 26238960 27988224 28624320 28862856 29154400 30065475 31486752 31804800 32069840 32798700 34985280 35780400 36078570 38165760 38483808 39358440 40087300 41817600 41982336 42406400 43294284 43731600 45798912 46647040 47707200 48104760 49198050 51311744 52477920 54117855 55976448 57248640 57725712 58308800 60130950 62973504 63609600 64139680 65597400 69970560 71560800 72157140 76331520 76967616 78716880 80174600 83964672 86588568 87463200 90196425 93294080 95414400 96209520 98396100 102623488 104955840 108235710 114497280 115451424 116617600 120261900 125947008 127219200 128279360 131194800 139941120 143121600 144314280 153935232 157433760 160349200 167929344 173177136 174926400 180392850 190828800 192419040 196792200 205246976 209911680 216471420 228994560 230902848 233235200 240523800 251894016 256558720 262389600 270589275 279882240 286243200 288628560 307870464 314867520 320698400 346354272 349852800 360785700 381657600 384838080 393584400 419823360 432942840 461805696 466470400 481047600 503788032 513117440 524779200 541178550 572486400 577257120 615740928 629735040 641396800 692708544 699705600 721571400 769676160 787168800 839646720 865885680 923611392 962095200 1026234880 1049558400 1082357100 1144972800 1154514240 1259470080 1282793600 1385417088 1399411200 1443142800 1539352320 1574337600 1731771360 1847222784 1924190400 2099116800 2164714200 2309028480 2518940160 2565587200 2770834176 2886285600 3078704640 3148675200 3463542720 3848380800 4198233600 4329428400 4618056960 5131174400 5541668352 5772571200 6297350400 6927085440 7696761600 8658856800 9236113920 11545142400 12594700800 13854170880 15393523200 17317713600 23090284800 27708341760 34635427200 46180569600 69270854400 138541708800
• Sum of all divisors σ(n): 559115412240
• Sum of proper divisors (its aliquot sum) s(n): 420573703440
• 138541708800 is an abundant number, because the sum of its proper divisors (420573703440) is greater than itself. Its abundance is 282031994640

Bases of 138541708800

• Binary: 10000001000001101110101011011000000000₂
• Hexadecimal: 0x2041BAB600
• Base-36: 1RN85MO0

Squares and roots of 138541708800

• 138541708800 squared (138541708800²) is 19193805077223997440000
• 138541708800 cubed (138541708800³) is 2659142553772728565704425472000000
• The square root of 138541708800 is 372211.9138340415
• The cube root of 138541708800 is 5174.4021657635

Scales and comparisons

• 138,541,708,800 seconds is equal to 4,405 years, 10 weeks, 2 days.
• To count from 1 to 138,541,708,800 would take you about eight thousand, eight hundred ten 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 138541708800 cubic inches would be around 431.2 feet tall.

Recreational maths with 138541708800

• 138541708800 backwards is 008807145831
• 138541708800 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138541708800's digits is 45
• More coming soon!