34212740990400
34,212,740,990,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 34212740990400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2352 divisors.
34212740990400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred fifty-two divisors.
Prime factorization of 34212740990400:
26 × 36 × 52 × 7 × 61 × 73 × 941
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 61 × 73 × 941)See below for interesting mathematical facts about the number 34212740990400 from the Numbermatics database.
Names of 34212740990400
- Cardinal: 34212740990400 can be written as Thirty-four trillion, two hundred twelve billion, seven hundred forty million, nine hundred ninety thousand, four hundred.
Scientific notation
- Scientific notation: 3.42127409904 × 1013
Factors of 34212740990400
Divisors of 34212740990400
- Number of divisors d(n): 2352
-
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 61 63 64 70 72 73 75 80 81 84 90 96 100 105 108 112 120 122 126 135 140 144 146 150 160 162 168 175 180 183 189 192 200 210 216 219 224 225 240 243 244 252 270 280 288 292 300 305 315 320 324 336 350 360 365 366 378 400 405 420 427 432 438 448 450 480 486 488 504 511 525 540 549 560 567 576 584 600 610 630 648 657 672 675 700 720 729 730 732 756 800 810 840 854 864 876 900 915 941 945 960 972 976 1008 1022 1050 1080 1095 1098 1120 1134 1168 1200 1215 1220 1260 1281 1296 1314 1344 1350 1400 1440 1458 1460 1464 1512 1525 1533 1575 1600 1620 1647 1680 1701 1708 1728 1752 1800 1825 1830 1882 1890 1944 1952 1971 2016 2025 2044 2100 2135 2160 2190 2196 2240 2268 2336 2400 2430 2440 2520 2555 2562 2592 2628 2700 2745 2800 2823 2835 2880 2916 2920 2928 3024 3050 3066 3150 3240 3285 3294 3360 3402 3416 3504 3600 3645 3650 3660 3764 3780 3843 3888 3904 3942 4032 4050 4088 4200 4270 4320 4380 4392 4453 4536 4575 4599 4672 4705 4725 4800 4860 4880 4941 5040 5103 5110 5124 5184 5256 5400 5475 5490 5600 5646 5670 5832 5840 5856 5913 6048 6075 6100 6132 6300 6405 6480 6570 6587 6588 6720 6804 6832 7008 7200 7290 7300 7320 7528 7560 7665 7686 7776 7884 8100 8176 8235 8400 8469 8505 8540 8640 8760 8784 8906 9072 9150 9198 9410 9450 9720 9760 9855 9882 10080 10206 10220 10248 10512 10675 10800 10950 10980 11200 11292 11340 11529 11664 11680 11712 11826 12096 12150 12200 12264 12600 12775 12810 12960 13140 13174 13176 13359 13608 13664 13725 13797 14016 14115 14175 14400 14580 14600 14640 14823 15056 15120 15330 15372 15552 15768 16200 16352 16425 16470 16800 16938 17010 17080 17520 17568 17739 17812 18144 18225 18300 18396 18820 18900 19215 19440 19520 19710 19761 19764 20160 20412 20440 20496 21024 21350 21600 21900 21960 22265 22584 22680 22995 23058 23328 23360 23525 23652 24300 24400 24528 24705 25200 25407 25515 25550 25620 25920 26280 26348 26352 26718 27216 27328 27450 27594 28230 28350 29160 29200 29280 29565 29646 30112 30240 30660 30744 31171 31536 32025 32400 32704 32850 32935 32940 33600 33876 34020 34160 34587 35040 35136 35478 35624 36288 36450 36600 36792 37640 37800 38325 38430 38880 39420 39522 39528 40077 40824 40880 40992 41175 41391 42048 42345 42525 42700 43200 43800 43920 44469 44530 45168 45360 45990 46116 46656 47050 47304 48600 48800 49056 49275 49410 50400 50814 51030 51100 51240 52560 52696 52704 53217 53436 54432 54900 55188 56460 56700 57401 57645 58320 58400 58560 59130 59283 59292 60224 60480 61320 61488 62342 63072 64050 64800 65700 65870 65880 66795 67752 68040 68320 68693 68985 69174 70080 70575 70956 71248 72900 73200 73584 74115 75280 75600 76221 76650 76860 77760 78840 79044 79056 80154 81648 81760 81984 82350 82782 84690 85050 85400 87600 87840 88695 88938 89060 90336 90720 91980 92232 93513 94100 94608 96075 97200 97600 98112 98550 98805 98820 100800 101628 102060 102200 102480 103761 105120 105392 105408 106434 106872 108864 109800 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4451306400 4463501760 4525494840 4544731800 4673871720 4686676848 4693105760 4751769582 4881955050 5007719700 5028327600 5091181695 5193190800 5193979200 5207418720 5279743980 5341567680 5430593808 5579377200 5608646064 5631726912 5656868550 5786020800 5842339650 5858346060 5866382200 6033993120 6059642400 6109418034 6231828960 6248902464 6335692776 6509273400 6599679975 6676959600 6695252640 6704436800 6788242260 6924254400 7010807580 7039658640 7127654373 7240791744 7271570880 7322932575 7439169600 7478194752 7542491400 7683076800 7789786200 7811128080 7919615970 8012351520 8145890712 8369065800 8447590368 8485302825 8679031200 8763509475 8799573300 8902612800 9050989680 9089463600 9347743440 9373353696 9386211520 9503539164 9763910100 10015439400 10056655200 10182363390 10386381600 10414837440 10559487960 10861187616 11158754400 11217292128 11313737100 11684679300 11716692120 11732764400 11879423955 12067986240 12119284800 12218836068 12463657920 12671385552 13018546800 13199359950 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54305938080 56086460640 57021234984 58583460600 59397119775 60339931200 61094180340 62318289600 63356927760 65167125696 66952526400 67882422600 70108075800 70396586400 71276543730 76028313312 76367725425 78111280800 79196159700 80123515200 81458907120 84475903680 85531852476 90509896800 93477434400 93733536960 95035391640 97750688544 101823633900 105594879600 106914815595 108611876160 112172921280 114042469968 117166921200 118794239550 122188360680 126713855520 135764845200 140216151600 140793172800 142553087460 152056626624 152735450850 156222561600 158392319400 162917814240 171063704952 178191359325 181019793600 186954868800 190070783280 195501377088 203647267800 211189759200 213829631190 228084939936 234333842400 237588479100 244376721360 253427711040 271529690400 280432303200 285106174920 305470901700 316784638800 325835628480 342127409904 356382718650 380141566560 407294535600 422379518400 427659262380 456169879872 468667684800 475176958200 488753442720 534574077975 543059380800 560864606400 570212349840 610941803400 633569277600 684254819808 712765437300 760283133120 814589071200 855318524760 950353916400 977506885440 1069148155950 1140424699680 1221883606800 1267138555200 1368509639616 1425530874600 1629178142400 1710637049520 1900707832800 2138296311900 2280849399360 2443767213600 2851061749200 3421274099040 3801415665600 4276592623800 4887534427200 5702123498400 6842548198080 8553185247600 11404246996800 17106370495200 34212740990400
- Sum of all divisors σ(n): 148781823002688
- Sum of proper divisors (its aliquot sum) s(n): 114569082012288
- 34212740990400 is an abundant number, because the sum of its proper divisors (114569082012288) is greater than itself. Its abundance is 80356341021888
Bases of 34212740990400
- Binary: 1111100011101110001100100011000000101110000002
- Hexadecimal: 0x1F1DC64605C0
- Base-36: C4L46N000
Squares and roots of 34212740990400
- 34212740990400 squared (342127409904002) is 1170511646076196372892160000
- 34212740990400 cubed (342127409904003) is 40046411773451660968567405830795264000000
-
The
square root of 34212740990400 is 5849165.8371429341 -
The
cube root of 34212740990400 is 32463.5460266215
Scales and comparisons
How big is 34212740990400?- 34,212,740,990,400 seconds is equal to 1,087,859 years, 17 weeks, 3 days, 12 hours.
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To count from 1 to 34,212,740,990,400 would take you about two million, seven hundred nineteen thousand, six hundred forty-eight 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 34212740990400 cubic inches would be around 2705.3 feet tall.
Recreational maths with 34212740990400
- 34212740990400 backwards is 00409904721243
- 34212740990400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 34212740990400's digits is 45
- More coming soon!
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The information we have on file for 34212740990400 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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