13827314195968000
13,827,314,195,968,000 is an even composite number composed of six prime numbers multiplied together.
13827314195968000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred ninety-six divisors.
Prime factorization of 13827314195968000:
212 × 53 × 73 × 13 × 29 × 4572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 13 × 29 × 457 × 457)See below for interesting mathematical facts about the number 13827314195968000 from the Numbermatics database.
Names of 13827314195968000
- Cardinal: 13827314195968000 can be written as Thirteen quadrillion, eight hundred twenty-seven trillion, three hundred fourteen billion, one hundred ninety-five million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.3827314195968 × 1016
Factors of 13827314195968000
Divisors of 13827314195968000
- Number of divisors d(n): 2496
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 29 32 35 40 49 50 52 56 58 64 65 70 80 91 98 100 104 112 116 125 128 130 140 145 160 175 182 196 200 203 208 224 232 245 250 256 260 280 290 320 325 343 350 364 377 392 400 406 416 448 455 457 464 490 500 512 520 560 580 637 640 650 686 700 725 728 754 784 800 812 832 875 896 910 914 928 980 1000 1015 1024 1040 1120 1160 1225 1274 1280 1300 1372 1400 1421 1450 1456 1508 1568 1600 1624 1625 1664 1715 1750 1792 1820 1828 1856 1885 1960 2000 2030 2048 2080 2240 2275 2285 2320 2450 2548 2560 2600 2639 2744 2800 2842 2900 2912 3016 3136 3185 3199 3200 3248 3250 3328 3430 3500 3584 3625 3640 3656 3712 3770 3920 4000 4060 4096 4160 4459 4480 4550 4570 4640 4900 5075 5096 5120 5200 5278 5488 5600 5684 5800 5824 5941 6032 6125 6272 6370 6398 6400 6496 6500 6656 6860 7000 7105 7168 7250 7280 7312 7424 7540 7840 8000 8120 8320 8575 8918 8960 9100 9140 9280 9425 9800 9947 10150 10192 10240 10400 10556 10976 11200 11368 11375 11425 11600 11648 11882 12064 12250 12544 12740 12796 12800 12992 13000 13195 13253 13312 13720 14000 14210 14336 14500 14560 14624 14848 15080 15680 15925 15995 16000 16240 16640 17150 17836 17920 18200 18280 18473 18560 18850 19600 19894 20300 20384 20480 20800 21112 21952 22295 22393 22400 22736 22750 22850 23200 23296 23764 24128 24500 25088 25375 25480 25592 25600 25984 26000 26390 26506 26624 27440 28000 28420 28672 29000 29120 29248 29696 29705 30160 31360 31850 31990 32000 32480 33280 34300 35525 35672 35840 36400 36560 36946 37120 37700 39200 39788 40600 40768 41587 41600 42224 42875 43904 44590 44786 44800 45472 45500 45700 46400 46592 47125 47528 48256 49000 49735 50176 50750 50960 51184 51200 51968 52000 52780 53012 53248 54880 56000 56840 57125 58000 58240 58496 59392 59410 60320 62720 63700 63980 64000 64960 65975 66265 66560 68600 71050 71344 71680 72800 73120 73892 74240 75400 78400 79576 79625 79975 81200 81536 83174 83200 84448 85750 87808 89180 89572 89600 90944 91000 91400 92365 92771 92800 93184 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564380171264 573081656000 581859712000 593548858000 596004922240 605134100480 607794030592 608168288000 617290812320 617483776000 620197990400 629888584000 654950464000 664774720960 675161825975 678341552000 681148482560 695049472000 705475214080 733544519680 745006152800 748514816000 756417625600 759742538240 771613515400 775247488000 806257387520 830968401200 851435603200 864207137248 864477286400 868277186560 881844017600 916930649600 931257691000 945522032000 949678172800 953607875584 964516894250 973069260800 987665299712 1007821734400 1038710501500 1043334656000 1047920742400 1063639553536 1064294504000 1080258921560 1080596608000 1085346483200 1102305022000 1128760342528 1146163312000 1163719424000 1187097716000 1192009844480 1210268200960 1215588061184 1216336576000 1234581624640 1259777168000 1309900928000 1329549441920 1350323651950 1356683104000 1362296965120 1390098944000 1410950428160 1467089039360 1490012305600 1512835251200 1519485076480 1543227030800 1550494976000 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5960049222400 6051341004800 6077940305920 6172908123200 6647747209600 6751618259750 6811484825600 6913657097984 7054752140800 7335445196800 7450061528000 7564176256000 7597425382400 7716135154000 7901322397696 8062573875200 8309684012000 8509116428288 8514356032000 8642071372480 8818440176000 9169306496000 9496781728000 9536078755840 9730692608000 9876652997120 10078217344000 10636395535360 10802589215600 10853464832000 11287603425280 11920098444800 12345816246400 13295494419200 13503236519500 13622969651200 13827314195968 14109504281600 14900123056000 15128352512000 15194850764800 15432270308000 15802644795392 16619368024000 17028712064000 17284142744960 17636880352000 18338612992000 18993563456000 19072157511680 19753305994240 20156434688000 21272791070720 21605178431200 21706929664000 23840196889600 24691632492800 26590988838400 27006473039000 27654628391936 28219008563200 29800246112000 30256705024000 30389701529600 30864540616000 33238736048000 34057424128000 34568285489920 35273760704000 36677225984000 37987126912000 39506611988480 40312869376000 42545582141440 43210356862400 47680393779200 49383264985600 53181977676800 54012946078000 55309256783872 56438017126400 59600492224000 61729081232000 66477472096000 68114848256000 69136570979840 70547521408000 75974253824000 79013223976960 86420713724800 95360787558400 98766529971200 106363955353600 108025892156000 110618513567744 119200984448000 123458162464000 132954944192000 138273141959680 141095042816000 151948507648000 172841427449600 197533059942400 212727910707200 216051784312000 238401968896000 246916324928000 265909888384000 276546283919360 282190085632000 345682854899200 395066119884800 432103568624000 476803937792000 493832649856000 531819776768000 553092567838720 691365709798400 864207137248000 987665299712000 1063639553536000 1382731419596800 1728414274496000 1975330599424000 2765462839193600 3456828548992000 6913657097984000 13827314195968000
- Sum of all divisors σ(n): 44931876758496000
- Sum of proper divisors (its aliquot sum) s(n): 31104562562528000
- 13827314195968000 is an abundant number, because the sum of its proper divisors (31104562562528000) is greater than itself. Its abundance is 17277248366560000
Bases of 13827314195968000
- Binary: 1100010001111111011110011101101101100100110000000000002
- Hexadecimal: 0x311FDE76D93000
- Base-36: 3S5DGG5LTZ4
Squares and roots of 13827314195968000
- 13827314195968000 squared (138273141959680002) is 191194617874018178307457024000000
- 13827314195968000 cubed (138273141959680003) is 2643708053922088668700791178909274079232000000000
-
The
square root of 13827314195968000 is 117589600.7135324871 -
The
cube root of 13827314195968000 is 240019.1778423173
Scales and comparisons
How big is 13827314195968000?- 13,827,314,195,968,000 seconds is equal to 439,665,820 years, 38 weeks, 3 days, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 13,827,314,195,968,000 would take you about one billion, three hundred eighteen million, nine hundred ninety-seven thousand, four hundred sixty-two 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 13827314195968000 cubic inches would be around 20001.6 feet tall.
Recreational maths with 13827314195968000
- 13827314195968000 backwards is 00086959141372831
- The number of decimal digits it has is: 17
- The sum of 13827314195968000's digits is 67
- More coming soon!
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"Number 13827314195968000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 13827314195968000 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/13827314195968000/
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The information we have on file for 13827314195968000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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