34139002640400
34,139,002,640,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 34139002640400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
34139002640400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 34139002640400:
24 × 37 × 52 × 72 × 292 × 947
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 29 × 29 × 947)See below for interesting mathematical facts about the number 34139002640400 from the Numbermatics database.
Names of 34139002640400
- Cardinal: 34139002640400 can be written as Thirty-four trillion, one hundred thirty-nine billion, two million, six hundred forty thousand, four hundred.
Scientific notation
- Scientific notation: 3.41390026404 × 1013
Factors of 34139002640400
Divisors of 34139002640400
- Number of divisors d(n): 2160
-
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 29 30 35 36 40 42 45 48 49 50 54 56 58 60 63 70 72 75 80 81 84 87 90 98 100 105 108 112 116 120 126 135 140 144 145 147 150 162 168 174 175 180 189 196 200 203 210 216 225 232 240 243 245 252 261 270 280 290 294 300 315 324 336 348 350 360 378 392 400 405 406 420 432 435 441 450 464 486 490 504 522 525 540 560 567 580 588 600 609 630 648 675 696 700 720 725 729 735 756 783 784 810 812 840 841 870 882 900 945 947 972 980 1008 1015 1044 1050 1080 1134 1160 1176 1200 1215 1218 1225 1260 1296 1305 1323 1350 1392 1400 1421 1450 1458 1470 1512 1566 1575 1620 1624 1680 1682 1701 1740 1764 1800 1827 1890 1894 1944 1960 2025 2030 2088 2100 2160 2175 2187 2205 2268 2320 2349 2352 2430 2436 2450 2520 2523 2610 2646 2700 2800 2835 2841 2842 2900 2916 2940 3024 3045 3132 3150 3240 3248 3364 3402 3480 3528 3600 3645 3654 3675 3780 3788 3888 3915 3920 3969 4050 4060 4176 4200 4205 4263 4350 4374 4410 4536 4698 4725 4735 4860 4872 4900 5040 5046 5075 5103 5220 5292 5400 5481 5670 5682 5684 5800 5832 5880 5887 6075 6090 6264 6300 6480 6525 6615 6629 6728 6804 6960 7047 7056 7105 7290 7308 7350 7560 7569 7576 7830 7938 8100 8120 8400 8410 8505 8523 8526 8700 8748 8820 9072 9135 9396 9450 9470 9720 9744 9800 10092 10150 10206 10440 10584 10800 10935 10962 11025 11340 11364 11368 11600 11664 11745 11760 11774 11907 12150 12180 12528 12600 12615 12789 13050 13230 13258 13456 13608 14094 14175 14205 14210 14580 14616 14700 15120 15138 15152 15225 15309 15660 15876 16200 16240 16443 16820 17010 17046 17052 17400 17496 17640 17661 18225 18270 18792 18900 18940 19440 19575 19600 19845 19887 20184 20300 20412 20880 21025 21141 21168 21315 21870 21924 22050 22680 22707 22728 22736 23490 23548 23675 23814 24300 24360 25200 25230 25515 25569 25578 26100 26460 26516 27216 27405 27463 28188 28350 28410 28420 29160 29232 29400 29435 30276 30450 30618 31320 31752 32400 32886 33075 33145 33640 34020 34092 34104 34800 34992 35235 35280 35322 35525 35721 36450 36540 37584 37800 37845 37880 38367 39150 39690 39774 40368 40600 40824 41209 42050 42282 42525 42615 42630 43740 43848 44100 45360 45414 45456 45675 46403 46980 47096 47350 47628 48600 48720 49329 50460 51030 51138 51156 52200 52920 52983 53032 54675 54810 54926 56376 56700 56820 56840 58320 58725 58800 58870 59535 59661 60552 60900 61236 62640 63075 63423 63504 63945 65772 66150 66290 67280 68040 68121 68184 68208 70470 70644 71025 71050 71442 72900 73080 75600 75690 75760 76545 76707 76734 78300 79380 79548 81200 81648 82215 82389 82418 84100 84564 85050 85230 85260 87480 87696 88200 88305 90828 91350 92806 93960 94192 94700 95256 97200 98658 99225 99435 100920 102060 102276 102312 104400 105705 105840 105966 106064 106575 107163 109350 109620 109852 112752 113400 113535 113640 113680 115101 117450 117740 119070 119322 121104 121800 122472 123627 126150 126846 127575 127845 127890 131544 132300 132580 136080 136242 136368 137025 137315 139209 140940 141288 142050 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936598152 955712400 960985296 966508200 967658805 968894640 975623075 981005823 1001026350 1001378700 1003498020 1014833610 1029989520 1032169392 1038101400 1053672921 1075176450 1090006470 1114997800 1121149512 1127592900 1159809840 1161190566 1167864075 1170747690 1201231620 1201654440 1204197624 1211118300 1243090800 1245721680 1254372525 1287486900 1290211740 1308007764 1334701800 1335171600 1337997360 1353111480 1354722327 1401436890 1404897228 1433568600 1441985328 1449762300 1453341960 1501539525 1502068050 1503457200 1505247030 1548254088 1557152100 1560996920 1601642160 1612764675 1614824400 1623733776 1635009705 1672496700 1681724268 1691389350 1716649200 1720282320 1741785849 1744010352 1756121535 1802481660 1806296436 1816677450 1868582520 1873196304 1933016400 1935317610 1951246150 1962011646 2002052700 2002757400 2006996040 2029667220 2076202800 2102155335 2107345842 2150352900 2180012940 2229995600 2242299024 2253102075 2255185800 2257870545 2322381132 2335728150 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168172426800 170695013202 174178584900 180629643600 189661125780 195080015088 196201164600 203208349050 210734584200 227593350936 232238113200 235441397520 237076407225 243850018860 252881501040 270944465400 284491688670 294301746900 304812523575 316101876300 325133358480 341390026404 348357169800 379322251560 392402329200 406416698100 421469168400 426737533005 455186701872 474152814450 487700037720 541888930800 568983377340 588603493800 609625047150 632203752600 682780052808 696714339600 711229221675 758644503120 812833396200 853475066010 948305628900 975400075440 1137966754680 1177206987600 1219250094300 1264407505200 1365560105616 1422458443350 1625666792400 1706950132020 1896611257800 2133687665025 2275933509360 2438500188600 2844916886700 3413900264040 3793222515600 4267375330050 4877000377200 5689833773400 6827800528080 8534750660100 11379667546800 17069501320200 34139002640400
- Sum of all divisors σ(n): 148353767340480
- Sum of proper divisors (its aliquot sum) s(n): 114214764700080
- 34139002640400 is an abundant number, because the sum of its proper divisors (114214764700080) is greater than itself. Its abundance is 80075762059680
Bases of 34139002640400
- Binary: 1111100001100100110110010000000011000000100002
- Hexadecimal: 0x1F0C9B201810
- Base-36: C3N8OQ900
Squares and roots of 34139002640400
- 34139002640400 squared (341390026404002) is 1165471501281238171712160000
- 34139002640400 cubed (341390026404003) is 39788034659551141927062698828787264000000
-
The
square root of 34139002640400 is 5842859.1152277495 -
The
cube root of 34139002640400 is 32440.2064744053
Scales and comparisons
How big is 34139002640400?- 34,139,002,640,400 seconds is equal to 1,085,514 years, 35 weeks, 4 days, 9 hours.
-
To count from 1 to 34,139,002,640,400 would take you about two million, seven hundred thirteen thousand, seven hundred eighty-six 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 34139002640400 cubic inches would be around 2703.4 feet tall.
Recreational maths with 34139002640400
- 34139002640400 backwards is 00404620093143
- 34139002640400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 34139002640400's digits is 36
- More coming soon!
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Cite this page
MLA style:
"Number 34139002640400 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
APA style:
Numbermatics. (2024). Number 34139002640400 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/34139002640400/
Chicago style:
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The information we have on file for 34139002640400 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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