13478412046632960
13,478,412,046,632,960 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13478412046632960 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2592 divisors.
13478412046632960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 13478412046632960:
211 × 3 × 5 × 7 × 292 × 892 × 972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 29 × 29 × 89 × 89 × 97 × 97)See below for interesting mathematical facts about the number 13478412046632960 from the Numbermatics database.
Names of 13478412046632960
- Cardinal: 13478412046632960 can be written as Thirteen quadrillion, four hundred seventy-eight trillion, four hundred twelve billion, forty-six million, six hundred thirty-two thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.347841204663296 × 1016
Factors of 13478412046632960
Divisors of 13478412046632960
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 32 35 40 42 48 56 58 60 64 70 80 84 87 89 96 97 105 112 116 120 128 140 145 160 168 174 178 192 194 203 210 224 232 240 256 267 280 290 291 320 336 348 356 384 388 406 420 435 445 448 464 480 485 512 534 560 580 582 609 623 640 672 679 696 712 768 776 812 840 841 870 890 896 928 960 970 1015 1024 1068 1120 1160 1164 1218 1246 1280 1335 1344 1358 1392 1424 1455 1536 1552 1624 1680 1682 1740 1780 1792 1856 1869 1920 1940 2030 2037 2048 2136 2240 2320 2328 2436 2492 2523 2560 2581 2670 2688 2716 2784 2813 2848 2910 3045 3072 3104 3115 3248 3360 3364 3395 3480 3560 3584 3712 3738 3840 3880 4060 4074 4205 4272 4480 4640 4656 4872 4984 5046 5120 5162 5340 5376 5432 5568 5626 5696 5820 5887 6090 6144 6208 6230 6496 6720 6728 6790 6960 7120 7168 7424 7476 7680 7743 7760 7921 8120 8148 8410 8439 8544 8633 8960 9280 9312 9345 9409 9744 9968 10092 10185 10240 10324 10680 10752 10864 11136 11252 11392 11640 11774 12180 12416 12460 12615 12905 12992 13440 13456 13580 13920 14065 14240 14336 14848 14952 15360 15486 15520 15842 16240 16296 16820 16878 17088 17266 17661 17920 18067 18560 18624 18690 18818 19488 19691 19936 20184 20370 20648 21360 21504 21728 22272 22504 22784 23280 23548 23763 24360 24832 24920 25230 25810 25899 25984 26880 26912 27160 27840 28130 28227 28480 29435 29696 29904 30720 30972 31040 31684 32480 32592 33640 33756 34176 34532 35322 35840 36134 37120 37248 37380 37636 38715 38976 39382 39605 39872 40368 40740 41296 42195 42720 43008 43165 43456 44544 45008 45568 46560 47045 47096 47526 48720 49664 49840 50460 51620 51798 51968 53760 53824 54201 54320 55447 55680 56260 56454 56960 58870 59073 59392 59808 60431 61944 62080 63368 64960 65184 65863 67280 67512 68352 69064 70644 71680 72268 74240 74496 74760 74849 75272 77430 77952 78764 79210 79744 80736 81480 81577 82592 84390 85440 86330 86912 88305 89088 90016 90335 91136 93120 94090 94192 95052 97440 98455 99328 99680 100920 103240 103596 103936 107520 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56160050194304 58096603649280 60171482351040 64182914507776 66396118456320 69476350755840 70200062742880 75721415992320 77462138199040 80228643134720 84240075291456 92954565838848 96274371761664 105300094114320 112320100388608 116193207298560 120342964702080 128365829015552 138952701511680 140400125485760 151442831984640 154924276398080 160457286269440 168480150582912 192548743523328 210600188228640 224640200777216 232386414597120 240685929404160 280800250971520 320914572538880 336960301165824 385097487046656 421200376457280 449280401554432 464772829194240 481371858808320 561600501943040 641829145077760 673920602331648 842400752914560 898560803108864 962743717616640 1123201003886080 1347841204663296 1684801505829120 1925487435233280 2246402007772160 2695682409326592 3369603011658240 4492804015544320 6739206023316480 13478412046632960
- Sum of all divisors σ(n): 52155908584678080
- Sum of proper divisors (its aliquot sum) s(n): 38677496538045120
- 13478412046632960 is an abundant number, because the sum of its proper divisors (38677496538045120) is greater than itself. Its abundance is 25199084491412160
Bases of 13478412046632960
- Binary: 1011111110001010001011010110100010110100001000000000002
- Hexadecimal: 0x2FE28B5A2D0800
- Base-36: 3OPP50IA1HC
Squares and roots of 13478412046632960
- 13478412046632960 squared (134784120466329602) is 181667591298820497493672958361600
- 13478412046632960 cubed (134784120466329603) is 2448590651044815297598935832859041099558158336000
-
The
square root of 13478412046632960 is 116096563.4574639767 -
The
cube root of 13478412046632960 is 237983.1688226451
Scales and comparisons
How big is 13478412046632960?- 13,478,412,046,632,960 seconds is equal to 428,571,811 years, 32 weeks, 14 hours, 56 minutes.
-
To count from 1 to 13,478,412,046,632,960 would take you about one billion, two hundred eighty-five million, seven hundred fifteen thousand, four 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 13478412046632960 cubic inches would be around 19831.9 feet tall.
Recreational maths with 13478412046632960
- 13478412046632960 backwards is 06923664021487431
- The number of decimal digits it has is: 17
- The sum of 13478412046632960's digits is 66
- More coming soon!
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"Number 13478412046632960 - Facts about the integer". Numbermatics.com. 2024. Web. 21 September 2024.
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Numbermatics. (2024). Number 13478412046632960 - Facts about the integer. Retrieved 21 September 2024, from https://numbermatics.com/n/13478412046632960/
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Numbermatics. 2024. "Number 13478412046632960 - Facts about the integer". https://numbermatics.com/n/13478412046632960/
The information we have on file for 13478412046632960 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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