34828131340800
34,828,131,340,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 34828131340800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2880 divisors.
34828131340800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 34828131340800:
29 × 33 × 52 × 7 × 53 × 612 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 53 × 61 × 61 × 73)See below for interesting mathematical facts about the number 34828131340800 from the Numbermatics database.
Names of 34828131340800
- Cardinal: 34828131340800 can be written as Thirty-four trillion, eight hundred twenty-eight billion, one hundred thirty-one million, three hundred forty thousand, eight hundred.
Scientific notation
- Scientific notation: 3.48281313408 × 1013
Factors of 34828131340800
Divisors of 34828131340800
- Number of divisors d(n): 2880
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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 53 54 56 60 61 63 64 70 72 73 75 80 84 90 96 100 105 106 108 112 120 122 126 128 135 140 144 146 150 159 160 168 175 180 183 189 192 200 210 212 216 219 224 225 240 244 252 256 265 270 280 288 292 300 305 315 318 320 336 350 360 365 366 371 378 384 400 420 424 427 432 438 448 450 477 480 488 504 511 512 525 530 540 549 560 576 584 600 610 630 636 640 657 672 675 700 720 730 732 742 756 768 795 800 840 848 854 864 876 896 900 915 945 954 960 976 1008 1022 1050 1060 1080 1095 1098 1113 1120 1152 1168 1200 1220 1260 1272 1280 1281 1314 1325 1344 1350 1400 1431 1440 1460 1464 1484 1512 1525 1533 1536 1575 1590 1600 1647 1680 1696 1708 1728 1752 1792 1800 1825 1830 1855 1890 1908 1920 1952 1971 2016 2044 2100 2120 2135 2160 2190 2196 2226 2240 2304 2336 2385 2400 2440 2520 2544 2555 2560 2562 2628 2650 2688 2700 2745 2800 2862 2880 2920 2928 2968 3024 3050 3066 3150 3180 3200 3233 3285 3294 3339 3360 3392 3416 3456 3504 3584 3600 3650 3660 3710 3721 3780 3816 3840 3843 3869 3904 3942 3975 4032 4088 4200 4240 4270 4320 4380 4392 4452 4453 4480 4575 4599 4608 4672 4725 4770 4800 4880 5040 5088 5110 5124 5256 5300 5376 5400 5475 5490 5565 5600 5724 5760 5840 5856 5936 6048 6100 6132 6300 6360 6400 6405 6466 6570 6588 6678 6720 6784 6832 6912 7008 7155 7200 7300 7320 7420 7442 7560 7632 7665 7680 7686 7738 7808 7884 7950 8064 8176 8235 8400 8480 8540 8640 8760 8784 8904 8906 8960 9150 9198 9275 9344 9450 9540 9600 9699 9760 9855 10017 10080 10176 10220 10248 10512 10600 10675 10752 10800 10950 10980 11130 11163 11200 11448 11520 11529 11607 11680 11712 11872 11925 12096 12200 12264 12600 12720 12775 12800 12810 12932 13140 13176 13356 13359 13440 13568 13664 13725 13797 13824 14016 14310 14400 14600 14640 14840 14884 15120 15264 15330 15372 15476 15616 15768 15900 16128 16165 16352 16425 16470 16695 16800 16960 17080 17280 17520 17568 17808 17812 17920 18300 18396 18550 18605 18688 18900 19080 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4543787520 4563434400 4606895680 4679942400 4693818240 4757941440 4770976896 4837240464 4867663360 4969767600 5038792150 5097794400 5133863700 5182757640 5215353600 5286601600 5301085440 5386348800 5437647360 5441895522 5476121280 5528274816 5679734400 5709529728 5758619600 5867272800 5947426800 5963721120 6046550580 6084579200 6219309168 6258424320 6343921920 6361302528 6449653952 6478447050 6571345536 6626356800 6797059200 6815681280 6845151600 6910343520 7136912160 7255860696 7301495040 7371033088 7454651400 7558188225 7572979200 7612706304 7774136460 7821273600 7823030400 7929902400 7951628160 8062067440 8156471040 8214181920 8292412224 8519601600 8637929400 8761794048 8835142400 8921140200 9001843200 9062745600 9069825870 9126868800 9213791360 9359884800 9387636480 9515882880 9541953792 9674480928 9717670575 9939535200 10077584300 10195588800 10267727400 10365515280 10430707200 10573203200 10602170880 10772697600 10883791044 10952242560 11056549632 11359468800 11419059456 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36279303480 36507475200 36855165440 38063531520 38697923712 38870682300 39758140800 40310337200 40782355200 41070909600 41462061120 43535164176 43808970240 45349129350 46068956800 46938182400 47579414400 47709768960 48372404640 49754473344 51597231616 51827576400 53010854400 54418955220 54761212800 55282748160 57095297280 58046885568 59637211200 60465505800 62193091680 63439219200 64496539520 65713455360 66339297792 68023694025 68156812800 69103435200 71369121600 72558606960 73014950400 77395847424 77741364600 79516281600 80620674400 81564710400 82141819200 82924122240 87070328352 90698258700 92137913600 93876364800 95158828800 95419537920 96744809280 99508946688 103655152800 108837910440 109522425600 110565496320 114190594560 116093771136 119274422400 120931011600 124386183360 128993079040 131426910720 136047388050 138206870400 142738243200 145117213920 154791694848 155482729200 159032563200 161241348800 164283638400 165848244480 174140656704 181396517400 184275827200 190317657600 193489618560 199017893376 207310305600 217675820880 219044851200 232187542272 238548844800 241862023200 248772366720 257986158080 272094776100 276413740800 285476486400 290234427840 310965458400 322482697600 328567276800 331696488960 348281313408 362793034800 386979237120 414620611200 435351641760 464375084544 477097689600 483724046400 497544733440 544189552200 552827481600 570952972800 580468855680 621930916800 644965395200 657134553600 696562626816 725586069600 773958474240 829241222400 870703283520 967448092800 995089466880 1088379104400 1160937711360 1243861833600 1289930790400 1393125253632 1451172139200 1658482444800 1741406567040 1934896185600 2176758208800 2321875422720 2487723667200 2902344278400 3482813134080 3869792371200 4353516417600 4975447334400 5804688556800 6965626268160 8707032835200 11609377113600 17414065670400 34828131340800
- Sum of all divisors σ(n): 153408395162880
- Sum of proper divisors (its aliquot sum) s(n): 118580263822080
- 34828131340800 is an abundant number, because the sum of its proper divisors (118580263822080) is greater than itself. Its abundance is 83752132481280
Bases of 34828131340800
- Binary: 1111110101101000011100110010110010010000000002
- Hexadecimal: 0x1FAD0E659200
- Base-36: CCFTM5XC0
Squares and roots of 34828131340800
- 34828131340800 squared (348281313408002) is 1212998732692015205744640000
- 34828131340800 cubed (348281313408003) is 42246479178421456341105056585613312000000
-
The
square root of 34828131340800 is 5901536.3542725041 -
The
cube root of 34828131340800 is 32657.0329568097
Scales and comparisons
How big is 34828131340800?- 34,828,131,340,800 seconds is equal to 1,107,426 years, 44 weeks.
-
To count from 1 to 34,828,131,340,800 would take you about two million, seven hundred sixty-eight thousand, five hundred sixty-seven 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 34828131340800 cubic inches would be around 2721.4 feet tall.
Recreational maths with 34828131340800
- 34828131340800 backwards is 00804313182843
- 34828131340800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 34828131340800's digits is 45
- More coming soon!
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"Number 34828131340800 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 34828131340800 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/34828131340800/
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Numbermatics. 2024. "Number 34828131340800 - Facts about the integer". https://numbermatics.com/n/34828131340800/
The information we have on file for 34828131340800 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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