48742414609120

Names of 48742414609120

• Cardinal: 48742414609120 can be written as Forty-eight trillion, seven hundred forty-two billion, four hundred fourteen million, six hundred nine thousand, one hundred twenty.

Scientific notation

• Scientific notation: 4.874241460912 × 10¹³

Factors of 48742414609120

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 440

Divisors of 48742414609120

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 109 136 160 170 218 272 289 307 340 436 544 545 578 614 680 872 1090 1156 1228 1360 1445 1535 1744 1853 2180 2312 2456 2720 2890 3070 3488 3706 4360 4624 4912 4913 5219 5780 6140 7412 8720 9248 9265 9824 9826 10438 11560 11881 12280 14824 17440 18530 19652 20876 23120 23762 24560 24565 26095 29648 31501 33463 37060 39304 41752 46240 47524 49120 49130 52190 59296 59405 63002 66926 74120 78608 83504 83521 88723 95048 98260 104380 118810 126004 133852 148240 157216 157505 167008 167042 167315 177446 190096 196520 201977 208760 237620 252008 267704 296480 315010 334084 334630 354892 380192 393040 403954 417520 417605 443615 475240 504016 535408 535517 568871 630020 668168 669260 709784 786080 807908 835040 835210 887230 950480 1008032 1009885 1070816 1071034 1137742 1260040 1336336 1338520 1419568 1508291 1615816 1670420 1774460 1900960 2019770 2142068 2275484 2520080 2672672 2677040 2677585 2839136 2844355 3016582 3231632 3340840 3433609 3548920 3647467 4039540 4284136 4550968 5040160 5354080 5355170 5688710 6033164 6463264 6681680 6867218 7097840 7294934 7541455 8079080 8568272 9101936 9103789 9670807 10710340 11377420 12066328 13363360 13734436 14195680 14589868 15082910 16158160 17136544 17168045 18203872 18207578 18237335 19341614 21420680 22754840 24132656 25640947 27468872 29179736 30165820 32316320 34336090 36415156 36474670 38683228 42841360 45509680 45518945 48265312 48354035 51281894 54937744 58359472 58371353 60331640 62006939 68672180 72830312 72949340 77366456 85682720 91019360 91037890 96708070 102563788 109875488 116718944 116742706 120663280 124013878 128204735 137344360 145660624 145898680 154732912 164403719 182075780 193416140 205127576 233485412 241326560 248027756 256409470 274688720 291321248 291797360 291856765 309465824 310034695 328807438 364151560 386832280 410255152 466970824 496055512 512818940 549377440 583594720 583713530 620069390 657614876 728303120 773664560 820510304 822018595 933941648 992111024 992313001 1025637880 1054117963 1167427060 1240138780 1315229752 1456606240 1547329120 1644037190 1867883296 1984222048 1984626002 2051275760 2108235926 2334854120 2480277560 2630459504 2794863223 3288074380 3969252004 4102551520 4216471852 4669708240 4960555120 4961565005 5260919008 5270589815 5589726446 6576148760 7938504008 8432943704 9339416480 9921110240 9923130010 10541179630 11179452892 13152297520 13974316115 15877008016 16865887408 17920005371 19846260020 21082359260 22358905784 26304595040 27948632230 31754016032 33731774816 35840010742 39692520040 42164718520 44717811568 55897264460 71680021484 79385040080 84329437040 89435623136 89600026855 111794528920 143360042968 158770080160 168658874080 179200053710 223589057840 286720085936 304640091307 358400107420 447178115680 573440171872 609280182614 716800214840 1218560365228 1433600429680 1523200456535 2437120730456 2867200859360 3046400913070 4874241460912 6092801826140 9748482921824 12185603652280 24371207304560 48742414609120
• Sum of all divisors σ(n): 123886001968344
• Sum of proper divisors (its aliquot sum) s(n): 75143587359224
• 48742414609120 is an abundant number, because the sum of its proper divisors (75143587359224) is greater than itself. Its abundance is 26401172750104

Bases of 48742414609120

• Binary: 1011000101010010111010010011101110101011100000₂
• Hexadecimal: 0x2C54BA4EEAE0
• Base-36: H9ZYF5ZOG

Squares and roots of 48742414609120

• 48742414609120 squared (48742414609120²) is 2375822981927354802387174400
• 48742414609120 cubed (48742414609120³) is 115803348822978940454434200125077270528000
• The square root of 48742414609120 is 6981576.7996291497
• The cube root of 48742414609120 is 36528.8230727247

Scales and comparisons

• 48,742,414,609,120 seconds is equal to 1,549,858 years, 5 days, 5 hours, 38 minutes, 40 seconds.
• To count from 1 to 48,742,414,609,120 would take you about three million, eight hundred seventy-four thousand, six hundred forty-five 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 48742414609120 cubic inches would be around 3044.1 feet tall.

Recreational maths with 48742414609120

• 48742414609120 backwards is 02190641424784
• The number of decimal digits it has is: 14
• The sum of 48742414609120's digits is 52
• More coming soon!