12704168132364800
12,704,168,132,364,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 12704168132364800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2160 divisors.
12704168132364800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 12704168132364800:
29 × 52 × 72 × 132 × 19 × 2557 × 2467
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 13 × 13 × 19 × 2557 × 2467)See below for interesting mathematical facts about the number 12704168132364800 from the Numbermatics database.
Names of 12704168132364800
- Cardinal: 12704168132364800 can be written as Twelve quadrillion, seven hundred four trillion, one hundred sixty-eight billion, one hundred thirty-two million, three hundred sixty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.27041681323648 × 1016
Factors of 12704168132364800
Divisors of 12704168132364800
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 19 20 25 26 28 32 35 38 40 49 50 52 56 64 65 70 76 80 91 95 98 100 104 112 128 130 133 140 152 160 169 175 182 190 196 200 208 224 245 247 256 260 266 280 304 320 325 338 350 364 380 392 400 416 448 455 475 490 494 512 520 532 560 608 637 640 650 665 676 700 728 760 784 800 832 845 896 910 931 950 980 988 1040 1064 1120 1183 1216 1225 1235 1274 1280 1300 1330 1352 1400 1456 1520 1568 1600 1664 1690 1729 1792 1820 1862 1900 1960 1976 2080 2128 2240 2275 2366 2432 2450 2467 2470 2548 2557 2560 2600 2660 2704 2800 2912 3040 3136 3185 3200 3211 3325 3328 3380 3458 3584 3640 3724 3800 3920 3952 4160 4225 4256 4480 4550 4655 4732 4864 4900 4934 4940 5096 5114 5200 5320 5408 5600 5824 5915 6080 6175 6272 6370 6400 6422 6650 6656 6760 6916 7280 7448 7600 7840 7904 8281 8320 8450 8512 8645 8960 9100 9310 9464 9728 9800 9868 9880 10192 10228 10400 10640 10816 11200 11648 11830 12103 12160 12335 12350 12544 12740 12785 12800 12844 13300 13520 13832 14560 14896 15200 15680 15808 15925 16055 16562 16640 16900 17024 17269 17290 17899 17920 18200 18620 18928 19600 19736 19760 20384 20456 20800 21280 21632 22400 22477 23275 23296 23660 24206 24320 24670 24700 25088 25480 25570 25688 26600 27040 27664 29120 29575 29792 30400 31360 31616 31850 32071 32110 33124 33241 33280 33800 34048 34538 34580 35798 36400 37240 37856 39200 39472 39520 40768 40912 41405 41600 42560 43225 43264 44800 44954 46550 46592 46873 47320 48412 48583 48640 49340 49400 50960 51140 51376 53200 54080 55328 58240 59150 59584 60515 60800 61675 62720 63232 63700 63925 64142 64220 66248 66482 67600 68096 69076 69160 71596 72800 74480 75712 78400 78944 79040 80275 81536 81824 82810 83200 85120 86345 86450 86528 89495 89600 89908 93100 93746 94640 96824 97166 98680 98800 101920 102280 102752 106400 108160 110656 112385 116480 118300 119168 120883 121030 121600 123350 125293 125440 126464 127400 127850 128284 128440 132496 132964 135200 138152 138320 143192 145600 148960 151424 156800 157339 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72595246470656 75172592499200 79401050827280 83580053502400 90744058088320 95520061145600 97724370248960 99251313534100 113430072610400 122155462811200 127041681323648 129634368697600 133728085603840 139606243212800 158802101654560 167160107004800 181488116176640 195448740497920 198502627068200 226860145220800 244310925622400 254083362647296 259268737395200 317604203309120 334320214009600 362976232353280 397005254136400 453720290441600 488621851244800 508166725294592 635208406618240 668640428019200 794010508272800 907440580883200 977243702489600 1270416813236480 1588021016545600 1814881161766400 2540833626472960 3176042033091200 6352084066182400 12704168132364800
- Sum of all divisors σ(n): 41767546435892640
- Sum of proper divisors (its aliquot sum) s(n): 29063378303527840
- 12704168132364800 is an abundant number, because the sum of its proper divisors (29063378303527840) is greater than itself. Its abundance is 16359210171163040
Bases of 12704168132364800
- Binary: 1011010010001001011111101001001011001001001010000000002
- Hexadecimal: 0x2D225FA4B24A00
- Base-36: 3H3929Q3XFK
Squares and roots of 12704168132364800
- 12704168132364800 squared (127041681323648002) is 161395887935393330493240279040000
- 12704168132364800 cubed (127041681323648003) is 2050400496203544444056398481362689607073792000000
-
The
square root of 12704168132364800 is 112712768.2756696381 -
The
cube root of 12704168132364800 is 233336.1767394655
Scales and comparisons
How big is 12704168132364800?- 12,704,168,132,364,800 seconds is equal to 403,953,250 years, 1 week, 6 days, 11 hours, 33 minutes, 20 seconds.
-
To count from 1 to 12,704,168,132,364,800 would take you about one billion, two hundred eleven million, eight hundred fifty-nine thousand, seven hundred fifty 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 12704168132364800 cubic inches would be around 19444.7 feet tall.
Recreational maths with 12704168132364800
- 12704168132364800 backwards is 00846323186140721
- 12704168132364800 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 12704168132364800's digits is 56
- More coming soon!
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The information we have on file for 12704168132364800 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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