3428801068946400
3,428,801,068,946,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 3428801068946400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2268 divisors.
3428801068946400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, two hundred sixty-eight divisors.
Prime factorization of 3428801068946400:
25 × 36 × 52 × 7 × 732 × 3972
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 73 × 73 × 397 × 397)See below for interesting mathematical facts about the number 3428801068946400 from the Numbermatics database.
Names of 3428801068946400
- Cardinal: 3428801068946400 can be written as Three quadrillion, four hundred twenty-eight trillion, eight hundred one billion, sixty-eight million, nine hundred forty-six thousand, four hundred.
Scientific notation
- Scientific notation: 3.4288010689464 × 1015
Factors of 3428801068946400
Divisors of 3428801068946400
- Number of divisors d(n): 2268
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 70 72 73 75 80 81 84 90 96 100 105 108 112 120 126 135 140 144 146 150 160 162 168 175 180 189 200 210 216 219 224 225 240 243 252 270 280 288 292 300 315 324 336 350 360 365 378 397 400 405 420 432 438 450 480 486 504 511 525 540 560 567 584 600 630 648 657 672 675 700 720 729 730 756 794 800 810 840 864 876 900 945 972 1008 1022 1050 1080 1095 1120 1134 1168 1191 1200 1215 1260 1296 1314 1350 1400 1440 1458 1460 1512 1533 1575 1588 1620 1680 1701 1752 1800 1825 1890 1944 1971 1985 2016 2025 2044 2100 2160 2190 2268 2336 2382 2400 2430 2520 2555 2592 2628 2700 2779 2800 2835 2916 2920 3024 3066 3150 3176 3240 3285 3360 3402 3504 3573 3600 3645 3650 3780 3888 3942 3970 4050 4088 4200 4320 4380 4536 4599 4725 4764 4860 5040 5103 5110 5256 5329 5400 5475 5558 5600 5670 5832 5840 5913 5955 6048 6075 6132 6300 6352 6480 6570 6804 7008 7146 7200 7290 7300 7560 7665 7776 7884 7940 8100 8176 8337 8400 8505 8760 9072 9198 9450 9528 9720 9855 9925 10080 10206 10220 10512 10658 10719 10800 10950 11116 11340 11664 11680 11826 11910 12150 12264 12600 12704 12775 12960 13140 13608 13797 13895 14175 14292 14580 14600 15120 15330 15768 15880 15987 16200 16352 16425 16674 16800 17010 17520 17739 17865 18144 18225 18396 18900 19056 19440 19710 19850 20412 20440 21024 21316 21438 21600 21900 22232 22680 22995 23328 23652 23820 24300 24528 25011 25200 25515 25550 26280 26645 27216 27594 27790 28350 28584 28981 29160 29200 29565 29775 30240 30660 31536 31760 31974 32157 32400 32850 33348 34020 35040 35478 35730 36450 36792 37303 37800 38112 38325 38880 39420 39700 40824 40880 41391 41685 42525 42632 42876 43800 44464 45360 45990 47304 47640 47961 48600 49056 49275 50022 50400 51030 51100 52560 53217 53290 53595 54432 55188 55580 56700 57168 57962 58320 58400 59130 59550 61320 63072 63520 63948 64314 64800 65700 66696 68040 68985 69475 70956 71460 72900 73584 74606 75033 75600 76650 78840 79400 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12699263218320 13606353448200 14110292464800 14286671120610 15239115861984 15307147629225 15656625885600 15874079022900 16327624137840 17144005344732 18141804597600 19048894827480 19593148965408 20409530172300 21165438697200 21430006680915 22858673792976 23484938828400 23811118534350 24491436206760 25398526436640 27212706896400 28573342241220 30614295258450 31748158045800 32655248275680 34288010689464 35716677801525 38097789654960 40819060344600 42330877394400 42860013361830 45717347585952 46969877656800 47622237068700 48982872413520 54425413792800 57146684482440 61228590516900 63496316091600 68576021378928 71433355603050 76195579309920 81638120689200 85720026723660 95244474137400 97965744827040 107150033404575 114293368964880 122457181033800 126992632183200 137152042757856 142866711206100 163276241378400 171440053447320 190488948274800 214300066809150 228586737929760 244914362067600 285733422412200 342880106894640 380977896549600 428600133618300 489828724135200 571466844824400 685760213789280 857200267236600 1142933689648800 1714400534473200 3428801068946400
- Sum of all divisors σ(n): 14578864085995272
- Sum of proper divisors (its aliquot sum) s(n): 11150063017048872
- 3428801068946400 is an abundant number, because the sum of its proper divisors (11150063017048872) is greater than itself. Its abundance is 7721261948102472
Bases of 3428801068946400
- Binary: 11000010111001111001111101011011100001010011111000002
- Hexadecimal: 0xC2E79F5B853E0
- Base-36: XREPGRFI00
Squares and roots of 3428801068946400
- 3428801068946400 squared (34288010689464002) is 11756676770407975286406072960000
- 3428801068946400 cubed (34288010689464003) is 40311305877632175353260856657988628729344000000
-
The
square root of 3428801068946400 is 58555965.2720916215 -
The
cube root of 3428801068946400 is 150792.8546990371
Scales and comparisons
How big is 3428801068946400?- 3,428,801,068,946,400 seconds is equal to 109,025,268 years, 5 days, 6 hours.
-
To count from 1 to 3,428,801,068,946,400 would take you about three hundred twenty-seven million, seventy-five thousand, eight hundred 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 3428801068946400 cubic inches would be around 12566.1 feet tall.
Recreational maths with 3428801068946400
- 3428801068946400 backwards is 0046498601088243
- 3428801068946400 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 3428801068946400's digits is 63
- More coming soon!
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The information we have on file for 3428801068946400 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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