13120417800
13,120,417,800 is an even composite number composed of six prime numbers multiplied together.
13120417800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 13120417800:
23 × 33 × 52 × 7 × 29 × 11969
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 29 × 11969)See below for interesting mathematical facts about the number 13120417800 from the Numbermatics database.
Names of 13120417800
- Cardinal: 13120417800 can be written as Thirteen billion, one hundred twenty million, four hundred seventeen thousand, eight hundred.
Scientific notation
- Scientific notation: 1.31204178 × 1010
Factors of 13120417800
Divisors of 13120417800
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 27 28 29 30 35 36 40 42 45 50 54 56 58 60 63 70 72 75 84 87 90 100 105 108 116 120 126 135 140 145 150 168 174 175 180 189 200 203 210 216 225 232 252 261 270 280 290 300 315 348 350 360 378 406 420 435 450 504 522 525 540 580 600 609 630 675 696 700 725 756 783 812 840 870 900 945 1015 1044 1050 1080 1160 1218 1260 1305 1350 1400 1450 1512 1566 1575 1624 1740 1800 1827 1890 2030 2088 2100 2175 2436 2520 2610 2700 2900 3045 3132 3150 3480 3654 3780 3915 4060 4200 4350 4725 4872 5075 5220 5400 5481 5800 6090 6264 6300 6525 7308 7560 7830 8120 8700 9135 9450 10150 10440 10962 11969 12180 12600 13050 14616 15225 15660 17400 18270 18900 19575 20300 21924 23938 24360 26100 27405 30450 31320 35907 36540 37800 39150 40600 43848 45675 47876 52200 54810 59845 60900 71814 73080 78300 83783 91350 95752 107721 109620 119690 121800 137025 143628 156600 167566 179535 182700 215442 219240 239380 251349 274050 287256 299225 323163 335132 347101 359070 365400 418915 430884 478760 502698 538605 548100 598450 646326 670264 694202 718140 754047 837830 861768 897675 1005396 1041303 1077210 1096200 1196900 1256745 1292652 1388404 1436280 1508094 1615815 1675660 1735505 1795350 2010792 2082606 2094575 2154420 2262141 2393800 2429707 2513490 2585304 2693025 2776808 3016188 3123909 3231630 3351320 3471010 3590700 3770235 4165212 4189150 4308840 4524282 4859414 5026980 5206515 5386050 6032376 6247818 6283725 6463260 6942020 7181400 7289121 7540470 8079075 8330424 8378300 8677525 9048564 9371727 9718828 10053960 10413030 10772100 11310705 12148535 12495636 12567450 12926520 13884040 14578242 15080940 15619545 16158150 16756600 17355050 18097128 18743454 18851175 19437656 20826060 21544200 21867363 22621410 24297070 24991272 25134900 26032575 29156484 30161880 31239090 32316300 34710100 36445605 37486908 37702350 41652120 43734726 45242820 46858635 48594140 50269800 52065150 56553525 58312968 60742675 62478180 64632600 65602089 69420200 72891210 74973816 75404700 78097725 87469452 90485640 93717270 97188280 104130300 109336815 113107050 121485350 124956360 131204178 145782420 150809400 156195450 174938904 182228025 187434540 208260600 218673630 226214100 234293175 242970700 262408356 291564840 312390900 328010445 364456050 374869080 437347260 452428200 468586350 485941400 524816712 546684075 624781800 656020890 728912100 874694520 937172700 1093368150 1312041780 1457824200 1640052225 1874345400 2186736300 2624083560 3280104450 4373472600 6560208900 13120417800
- Sum of all divisors σ(n): 53434080000
- Sum of proper divisors (its aliquot sum) s(n): 40313662200
- 13120417800 is an abundant number, because the sum of its proper divisors (40313662200) is greater than itself. Its abundance is 27193244400
Bases of 13120417800
- Binary: 11000011100000100110110000000010002
- Hexadecimal: 0x30E09B008
- Base-36: 60ZK360
Squares and roots of 13120417800
- 13120417800 squared (131204178002) is 172145363246556840000
- 13120417800 cubed (131204178003) is 2258619088127590152247752000000
-
The
square root of 13120417800 is 114544.3922678015 -
The
cube root of 13120417800 is 2358.5724513199
Scales and comparisons
How big is 13120417800?- 13,120,417,800 seconds is equal to 417 years, 9 weeks, 5 days, 16 hours, 30 minutes.
-
To count from 1 to 13,120,417,800 would take you about eight hundred thirty-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 13120417800 cubic inches would be around 196.5 feet tall.
Recreational maths with 13120417800
- 13120417800 backwards is 00871402131
- 13120417800 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13120417800's digits is 27
- More coming soon!
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