12948382144000

Names of 12948382144000

• Cardinal: 12948382144000 can be written as Twelve trillion, nine hundred forty-eight billion, three hundred eighty-two million, one hundred forty-four thousand.

Scientific notation

• Scientific notation: 1.2948382144 × 10¹³

Factors of 12948382144000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 67872

Divisors of 12948382144000

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 103 116 125 128 145 160 200 206 232 250 256 290 320 400 412 464 500 512 515 580 640 725 800 824 928 1000 1030 1160 1280 1450 1600 1648 1856 2000 2060 2320 2560 2575 2900 2987 3200 3296 3625 3712 4000 4120 4640 5150 5800 5974 6400 6592 7250 7424 8000 8240 9280 10300 11600 11948 12800 12875 13184 14500 14848 14935 16000 16480 18560 20600 23200 23896 25750 26368 29000 29870 32000 32960 37120 41200 46400 47792 51500 52736 58000 59740 64000 65920 67733 74240 74675 82400 92800 95584 103000 116000 119480 131840 135466 149350 164800 185600 191168 206000 232000 238960 263680 270932 298700 329600 338665 371200 373375 382336 412000 464000 477920 541864 597400 659200 677330 746750 764672 824000 928000 955840 1083728 1194800 1318400 1354660 1493500 1529344 1648000 1693325 1856000 1911680 1964257 2167456 2389600 2709320 2987000 3296000 3386650 3823360 3928514 4334912 4779200 5418640 5974000 6592000 6773300 6976499 7646720 7857028 8466625 8669824 9558400 9821285 10837280 11948000 13546600 13952998 15714056 16933250 17339648 19116800 19642570 21674560 23896000 27093200 27905996 31428112 33866500 34679296 34882495 38233600 39285140 43349120 47792000 49106425 54186400 55811992 62856224 67733000 69764990 78570280 86698240 95584000 98212850 108372800 111623984 125712448 135466000 139529980 157140560 173396480 174412475 191168000 196425700 202318471 216745600 223247968 245532125 251424896 270932000 279059960 314281120 348824950 392851400 404636942 433491200 446495936 491064250 502849792 541864000 558119920 628562240 697649900 785702800 809273884 866982400 872062375 892991872 982128500 1005699584 1011592355 1083728000 1116239840 1257124480 1395299800 1571405600 1618547768 1744124750 1785983744 1964257000 2023184710 2167456000 2232479680 2514248960 2790599600 3142811200 3237095536 3488249500 3571967488 3928514000 4046369420 4334912000 4464959360 5028497920 5057961775 5581199200 6285622400 6474191072 6976499000 7857028000 8092738840 8929918720 10115923550 11162398400 12571244800 12948382144 13952998000 15714056000 16185477680 17859837440 20231847100 22324796800 25142489600 25289808875 25896764288 27905996000 31428112000 32370955360 40463694200 44649593600 50579617750 51793528576 55811992000 62856224000 64741910720 80927388400 89299187200 101159235500 103587057152 111623984000 125712448000 129483821440 161854776800 202318471000 223247968000 258967642880 323709553600 404636942000 446495936000 517935285760 647419107200 809273884000 1294838214400 1618547768000 2589676428800 3237095536000 6474191072000 12948382144000
• Sum of all divisors σ(n): 33725744807040
• Sum of proper divisors (its aliquot sum) s(n): 20777362663040
• 12948382144000 is an abundant number, because the sum of its proper divisors (20777362663040) is greater than itself. Its abundance is 7828980519040

Bases of 12948382144000

• Binary: 10111100011011000111101101111101011000000000₂
• Hexadecimal: 0xBC6C7B7D600
• Base-36: 4L8EKESXS

Squares and roots of 12948382144000

• 12948382144000 squared (12948382144000²) is 167660600147058036736000000
• 12948382144000 cubed (12948382144000³) is 2170933521196490057004118441984000000000
• The square root of 12948382144000 is 3598386.0471050073
• The cube root of 12948382144000 is 23482.1848646033

Scales and comparisons

• 12,948,382,144,000 seconds is equal to 411,718 years, 26 weeks, 1 hour, 46 minutes, 40 seconds.
• To count from 1 to 12,948,382,144,000 would take you about one million, twenty-nine thousand, two hundred ninety-six 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 12948382144000 cubic inches would be around 1956.8 feet tall.

Recreational maths with 12948382144000

• 12948382144000 backwards is 00044128384921
• The number of decimal digits it has is: 14
• The sum of 12948382144000's digits is 46
• More coming soon!