3429638758441350
3,429,638,758,441,350 is an even composite number composed of six prime numbers multiplied together.
What does the number 3429638758441350 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 288 divisors.
3429638758441350 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 3429638758441350:
2 × 33 × 52 × 7 × 132 × 2147483647
(2 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 13 × 2147483647)See below for interesting mathematical facts about the number 3429638758441350 from the Numbermatics database.
Names of 3429638758441350
- Cardinal: 3429638758441350 can be written as Three quadrillion, four hundred twenty-nine trillion, six hundred thirty-eight billion, seven hundred fifty-eight million, four hundred forty-one thousand, three hundred fifty.
Scientific notation
- Scientific notation: 3.42963875844135 × 1015
Factors of 3429638758441350
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 2147483677
Divisors of 3429638758441350
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 5 6 7 9 10 13 14 15 18 21 25 26 27 30 35 39 42 45 50 54 63 65 70 75 78 90 91 105 117 126 130 135 150 169 175 182 189 195 210 225 234 270 273 315 325 338 350 351 378 390 450 455 507 525 546 585 630 650 675 702 819 845 910 945 975 1014 1050 1170 1183 1350 1365 1521 1575 1638 1690 1755 1890 1950 2275 2366 2457 2535 2730 2925 3042 3150 3510 3549 4095 4225 4550 4563 4725 4914 5070 5850 5915 6825 7098 7605 8190 8450 8775 9126 9450 10647 11830 12285 12675 13650 15210 17550 17745 20475 21294 22815 24570 25350 29575 31941 35490 38025 40950 45630 53235 59150 61425 63882 76050 88725 106470 114075 122850 159705 177450 228150 266175 319410 532350 798525 1597050 2147483647 4294967294 6442450941 10737418235 12884901882 15032385529 19327352823 21474836470 27917287411 30064771058 32212254705 38654705646 45097156587 53687091175 55834574822 57982058469 64424509410 75161927645 83751862233 90194313174 96636764115 107374182350 115964116938 135291469761 139586437055 150323855290 161061273525 167503724466 193273528230 195421011877 225485782935 251255586699 270582939522 279172874110 289910292345 322122547050 362924736343 375809638225 390842023754 405874409283 418759311165 450971565870 483183820575 502511173398 579820584690 586263035631 676457348805 697932185275 725849472686 751619276450 753766760097 811748818566 837518622330 966367641150 977105059385 1088774209029 1127428914675 1172526071262 1256277933495 1352914697610 1395864370550 1449551461725 1507533520194 1758789106893 1814623681715 1954210118770 2029372046415 2093796555825 2177548418058 2254857829350 2512555866990 2540473154401 2899102923450 2931315178155 3266322627087 3382286744025 3517578213786 3629247363430 3768833800485 4058744092830 4187593111650 4885525296925 5080946308802 5276367320679 5443871045145 5862630356310 6281389667475 6532645254174 6764573488050 7537667600970 7621419463203 8793945534465 9073118408575 9771050593850 9798967881261 10146860232075 10552734641358 10887742090290 12562779334950 12702365772005 14656575890775 15242838926406 16331613135435 17587891068930 18146236817150 18844169002425 19597935762522 20293720464150 22864258389609 25404731544010 26381836603395 27219355225725 29313151781550 32663226270870 37688338004850 38107097316015 43969727672325 45728516779218 48994839406305 52763673206790 54438710451450 63511828860025 68592775168827 76214194632030 81658065677175 87939455344650 97989678812610 114321291948045 127023657720050 131909183016975 137185550337654 163316131354350 190535486580075 228642583896090 244974197031525 263818366033950 342963875844135 381070973160150 489948394063050 571606459740225 685927751688270 1143212919480450 1714819379220675 3429638758441350
- Sum of all divisors σ(n): 11695367745699840
- Sum of proper divisors (its aliquot sum) s(n): 8265728987258490
- 3429638758441350 is an abundant number, because the sum of its proper divisors (8265728987258490) is greater than itself. Its abundance is 4836090228817140
Bases of 3429638758441350
- Binary: 11000010111100111100111111111110011110100001100001102
- Hexadecimal: 0xC2F3CFFE7A186
- Base-36: XRPEAM4L1I
Squares and roots of 3429638758441350
- 3429638758441350 squared (34296387584413502) is 11762422013403124695881389822500
- 3429638758441350 cubed (34296387584413503) is 40340858430311096890917246590679991853160375000
-
The
square root of 3429638758441350 is 58563117.7315667681 -
The
cube root of 3429638758441350 is 150805.1337534625
Scales and comparisons
How big is 3429638758441350?- 3,429,638,758,441,350 seconds is equal to 109,051,903 years, 49 weeks, 2 days, 12 hours, 22 minutes, 30 seconds.
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To count from 1 to 3,429,638,758,441,350 would take you about three hundred twenty-seven million, one hundred fifty-five thousand, seven hundred eleven 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 3429638758441350 cubic inches would be around 12567.1 feet tall.
Recreational maths with 3429638758441350
- 3429638758441350 backwards is 0531448578369243
- The number of decimal digits it has is: 16
- The sum of 3429638758441350's digits is 72
- More coming soon!
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