40145471923200

Names of 40145471923200

• Cardinal: 40145471923200 can be written as Forty trillion, one hundred forty-five billion, four hundred seventy-one million, nine hundred twenty-three thousand, two hundred.

Scientific notation

• Scientific notation: 4.01454719232 × 10¹³

Factors of 40145471923200

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 1257

Divisors of 40145471923200

• Number of divisors d(n): 792
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 53 56 60 64 70 75 80 84 96 100 105 106 112 120 128 140 150 159 160 168 175 192 200 210 212 224 240 256 265 280 300 318 320 336 350 371 384 400 420 424 448 480 512 525 530 560 600 636 640 672 700 742 768 795 800 840 848 896 960 1024 1050 1060 1113 1120 1187 1200 1272 1280 1325 1344 1400 1484 1536 1590 1600 1680 1696 1792 1855 1920 2100 2120 2226 2240 2374 2400 2544 2560 2650 2688 2800 2968 3072 3180 3200 3360 3392 3561 3584 3710 3840 3975 4200 4240 4452 4480 4748 4800 5088 5120 5300 5376 5565 5600 5935 5936 6360 6400 6720 6784 7122 7168 7420 7680 7950 8309 8400 8480 8904 8960 9275 9496 9600 10176 10600 10752 11130 11200 11870 11872 12720 12800 13440 13568 14244 14840 15360 15900 16618 16800 16960 17805 17808 17920 18550 18992 19200 20352 21200 21504 22260 22400 23740 23744 24927 25440 25600 26880 27136 27825 28488 29675 29680 31800 33236 33600 33920 35610 35616 35840 37100 37984 38400 40704 41545 42400 44520 44800 47480 47488 49854 50880 53760 54272 55650 56976 59350 59360 62911 63600 66472 67200 67840 71220 71232 74200 75968 76800 81408 83090 84800 89025 89040 89600 94960 94976 99708 101760 107520 111300 113952 118700 118720 124635 125822 127200 132944 134400 135680 142440 142464 148400 151936 162816 166180 169600 178050 178080 179200 188733 189920 189952 199416 203520 207725 222600 227904 237400 237440 249270 251644 254400 265888 268800 271360 284880 284928 296800 303872 314555 332360 339200 356100 356160 377466 379840 379904 398832 407040 415450 440377 445200 455808 474800 474880 498540 503288 508800 531776 537600 569760 569856 593600 607744 623175 629110 664720 678400 712200 712320 754932 759680 797664 814080 830900 880754 890400 911616 943665 949600 949760 997080 1006576 1017600 1063552 1139520 1139712 1187200 1215488 1246350 1258220 1321131 1329440 1356800 1408969 1424400 1424640 1509864 1519360 1572775 1595328 1661800 1761508 1780800 1823232 1887330 1899200 1899520 1994160 2013152 2035200 2127104 2201885 2279040 2374400 2492700 2516440 2642262 2658880 2817938 2848800 2849280 3019728 3038720 3145550 3190656 3323600 3523016 3561600 3646464 3774660 3798400 3988320 4026304 4070400 4226907 4254208 4403770 4558080 4718325 4748800 4985400 5032880 5284524 5317760 5635876 5697600 5698560 6039456 6077440 6291100 6381312 6605655 6647200 7044845 7046032 7123200 7549320 7596800 7976640 8052608 8453814 8508416 8807540 9116160 9436650 9497600 9862783 9970800 10065760 10569048 10635520 11009425 11271752 11395200 12078912 12582200 12762624 13211310 13294400 14089690 14092064 14246400 15098640 15193600 15953280 16105216 16907628 17615080 18232320 18873300 19725566 19941600 20131520 21134535 21138096 21271040 22018850 22543504 22790400 24157824 25164400 25525248 26422620 26588800 28179380 28184128 28492800 29588349 30197280 30387200 31906560 32210432 33028275 33815256 35224225 35230160 37746600 39451132 39883200 40263040 42269070 42276192 42542080 44037700 45087008 45580800 48315648 49313915 50328800 52845240 53177600 56358760 56368256 59176698 60394560 63813120 64420864 66056550 67630512 70448450 70460320 74675357 75493200 78902264 79766400 80526080 84538140 84552384 88075400 90174016 91161600 96631296 98627830 100657600 105672675 105690480 106355200 112717520 112736512 118353396 120789120 127626240 132113100 135261024 140896900 140920640 147941745 149350714 150986400 157804528 159532800 161052160 169076280 169104768 176150800 180348032 193262592 197255660 201315200 211345350 211380960 212710400 224026071 225435040 225473024 236706792 241578240 246569575 264226200 270522048 281793800 281841280 295883490 298701428 301972800 315609056 319065600 322104320 338152560 338209536 352301600 360696064 373376785 394511320 402630400 422690700 422761920 448052142 450870080 450946048 473413584 483156480 493139150 522727499 528452400 541044096 563587600 563682560 591766980 597402856 603945600 631218112 638131200 676305120 676419072 704603200 721392128 739708725 746753570 789022640 805260800 845381400 845523840 896104284 901740160 946827168 966312960 986278300 1045454998 1056904800 1082088192 1120130355 1127175200 1127365120 1183533960 1194805712 1207891200 1262436224 1352610240 1352838144 1409206400 1442784256 1479417450 1493507140 1568182497 1578045280 1610521600 1690762800 1691047680 1792208568 1803480320 1866883925 1893654336 1972556600 2090909996 2113809600 2164176384 2240260710 2254350400 2254730240 2367067920 2389611424 2415782400 2524872448 2613637495 2705220480 2818412800 2958834900 2987014280 3136364994 3156090560 3381525600 3382095360 3584417136 3606960640 3733767850 3787308672 3945113200 4181819992 4227619200 4328352768 4480521420 4508700800 4734135840 4779222848 4831564800 5049744896 5227274990 5410440960 5600651775 5636825600 5917669800 5974028560 6272729988 6312181120 6763051200 6764190720 7168834272 7213921280 7467535700 7574617344 7840912485 7890226400 8363639984 8455238400 8961042840 9017401600 9468271680 9558445696 10099489792 10454549980 10820881920 11201303550 11273651200 11835339600 11948057120 12545459976 12624362240 13068187475 13526102400 14337668544 14935071400 15149234688 15681824970 15780452800 16727279968 16910476800 17922085680 18034803200 18936543360 19116891392 20909099960 21641763840 22402607100 23670679200 23896114240 25090919952 25248724480 26136374950 27052204800 28675337088 29870142800 30298469376 31363649940 31560905600 33454559936 33820953600 35844171360 36069606400 37873086720 38233782784 39204562425 41818199920 44805214200 47341358400 47792228480 50181839904 50497448960 52272749900 54104409600 57350674176 59740285600 62727299880 63121811200 66909119872 71688342720 75746173440 76467565568 78409124850 83636399840 89610428400 94682716800 95584456960 100363679808 104545499800 108208819200 114701348352 119480571200 125454599760 126243622400 133818239744 143376685440 151492346880 156818249700 167272799680 179220856800 189365433600 191168913920 200727359616 209090999600 229402696704 238961142400 250909199520 252487244800 267636479488 286753370880 313636499400 334545599360 358441713600 378730867200 382337827840 401454719232 418181999200 477922284800 501818399040 535272958976 573506741760 627272998800 669091198720 716883427200 757461734400 802909438464 836363998400 955844569600 1003636798080 1147013483520 1254545997600 1338182397440 1433766854400 1605818876928 1672727996800 1911689139200 2007273596160 2509091995200 2676364794880 2867533708800 3345455993600 4014547192320 5018183990400 5735067417600 6690911987200 8029094384640 10036367980800 13381823974400 20072735961600 40145471923200
• Sum of all divisors σ(n): 154628926990272
• Sum of proper divisors (its aliquot sum) s(n): 114483455067072
• 40145471923200 is an abundant number, because the sum of its proper divisors (114483455067072) is greater than itself. Its abundance is 74337983143872

Bases of 40145471923200

• Binary: 1001001000001100011000100101111110010000000000₂
• Hexadecimal: 0x24831897E400
• Base-36: E8AKPGH6O

Squares and roots of 40145471923200

• 40145471923200 squared (40145471923200²) is 1611658915936439506698240000
• 40145471923200 cubed (40145471923200³) is 64700807759501281251929452254855168000000
• The square root of 40145471923200 is 6336045.4483218473
• The cube root of 40145471923200 is 34240.9276905317

Scales and comparisons

• 40,145,471,923,200 seconds is equal to 1,276,501 years, 43 weeks, 18 hours, 40 minutes.
• To count from 1 to 40,145,471,923,200 would take you about three million, one hundred ninety-one thousand, two hundred fifty-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 40145471923200 cubic inches would be around 2853.4 feet tall.

Recreational maths with 40145471923200

• 40145471923200 backwards is 00232917454104
• 40145471923200 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 40145471923200's digits is 42
• More coming soon!