4006978585344

Names of 4006978585344

• Cardinal: 4006978585344 can be written as Four trillion, six billion, nine hundred seventy-eight million, five hundred eighty-five thousand, three hundred forty-four.

Scientific notation

• Scientific notation: 4.006978585344 × 10¹²

Factors of 4006978585344

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 103492

Divisors of 4006978585344

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 89 96 108 112 126 128 144 162 168 178 189 192 216 224 243 252 256 267 288 324 336 356 378 384 432 448 486 504 534 567 576 623 648 672 712 756 768 801 864 896 972 1008 1068 1134 1152 1246 1296 1344 1424 1512 1602 1701 1728 1792 1869 1944 2016 2136 2268 2304 2403 2492 2592 2688 2848 3024 3204 3402 3456 3738 3888 4032 4272 4536 4806 4984 5184 5376 5607 5696 6048 6408 6804 6912 7209 7476 7776 8064 8544 9072 9612 9968 10368 11214 11392 12096 12816 13608 14418 14952 15552 16128 16821 17088 18144 19224 19936 20736 21627 22428 22784 24192 25632 27216 28836 29904 31104 33642 34176 36288 38448 39872 43254 44856 48384 50463 51264 54432 57672 59808 62208 67284 68352 72576 76896 79744 86508 89712 100926 102528 103391 108864 115344 119616 134568 145152 151389 153792 159488 173016 179424 201852 205056 206782 217728 230688 239232 269136 302778 307584 310173 346032 358848 403704 413564 435456 461376 478464 538272 605556 615168 620346 692064 717696 723737 807408 827128 922752 930519 1076544 1211112 1240692 1384128 1435392 1447474 1614816 1654256 1845504 1861038 2153088 2171211 2422224 2481384 2768256 2791557 2894948 3229632 3308512 3722076 4306176 4342422 4844448 4962768 5536512 5583114 5789896 6459264 6513633 6617024 7444152 8374671 8684844 9201799 9688896 9925536 11166228 11579792 12918528 13027266 13234048 14888304 16749342 17369688 18403598 19377792 19540899 19851072 22332456 23159584 25124013 26054532 26468096 27605397 29776608 33498684 34739376 36807196 38755584 39081798 39702144 44664912 46319168 50248026 52109064 55210794 58622697 59553216 64412593 66997368 69478752 73614392 78163596 79404288 82816191 89329824 92638336 100496052 104218128 110421588 117245394 119106432 128825186 133994736 138957504 147228784 156327192 165632382 175868091 178659648 185276672 193237779 200992104 208436256 220843176 234490788 238212864 248448573 257650372 267989472 277915008 294457568 312654384 331264764 351736182 357319296 386475558 401984208 416872512 441686352 468981576 496897146 515300744 535978944 555830016 579713337 588915136 625308768 662529528 703472364 714638592 745345719 772951116 803968416 833745024 883372704 937963152 993794292 1030601488 1071957888 1159426674 1177830272 1250617536 1325059056 1406944728 1490691438 1545902232 1607936832 1667490048 1739140011 1766745408 1875926304 1987588584 2061202976 2143915776 2236037157 2318853348 2355660544 2501235072 2650118112 2813889456 2981382876 3091804464 3215873664 3478280022 3533490816 3751852608 3975177168 4122405952 4472074314 4637706696 5002470144 5217420033 5300236224 5627778912 5962765752 6183608928 6431747328 6956560044 7066981632 7503705216 7950354336 8244811904 8944148628 9275413392 10434840066 10600472448 11255557824 11925531504 12367217856 13913120088 15007410432 15652260099 15900708672 16489623808 17888297256 18550826784 20869680132 21200944896 22511115648 23851063008 24734435712 27826240176 31304520198 31801417344 35776594512 37101653568 41739360264 45022231296 47702126016 49468871424 55652480352 62609040396 63602834688 71553189024 74203307136 83478720528 95404252032 111304960704 125218080792 143106378048 148406614272 166957441056 190808504064 222609921408 250436161584 286212756096 333914882112 445219842816 500872323168 572425512192 667829764224 1001744646336 1335659528448 2003489292672 4006978585344
• Sum of all divisors σ(n): 13846554408960
• Sum of proper divisors (its aliquot sum) s(n): 9839575823616
• 4006978585344 is an abundant number, because the sum of its proper divisors (9839575823616) is greater than itself. Its abundance is 5832597238272

Bases of 4006978585344

• Binary: 111010010011110010100010010000001100000000₂
• Hexadecimal: 0x3A4F2890300
• Base-36: 1F4S3LC00

Squares and roots of 4006978585344

• 4006978585344 squared (4006978585344²) is 16055877383405403491598336
• 4006978585344 cubed (4006978585344³) is 64335556844214507984010218574744387584
• The square root of 4006978585344 is 2001743.8860513599
• The cube root of 4006978585344 is 15883.2366677355

Scales and comparisons

• 4,006,978,585,344 seconds is equal to 127,409 years, 27 weeks, 1 day, 23 hours, 2 minutes, 24 seconds.
• To count from 1 to 4,006,978,585,344 would take you about three hundred eighteen thousand, five hundred twenty-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 4006978585344 cubic inches would be around 1323.6 feet tall.

Recreational maths with 4006978585344

• 4006978585344 backwards is 4435858796004
• 4006978585344 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 4006978585344's digits is 63
• More coming soon!