3438893995130880
3,438,893,995,130,880 is an even composite number composed of seven prime numbers multiplied together.
What does the number 3438893995130880 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2400 divisors.
3438893995130880 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 3438893995130880:
224 × 32 × 5 × 11 × 13 × 53 × 601
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 13 × 53 × 601)See below for interesting mathematical facts about the number 3438893995130880 from the Numbermatics database.
Names of 3438893995130880
- Cardinal: 3438893995130880 can be written as Three quadrillion, four hundred thirty-eight trillion, eight hundred ninety-three billion, nine hundred ninety-five million, one hundred thirty thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 3.43889399513088 × 1015
Factors of 3438893995130880
Divisors of 3438893995130880
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 30 32 33 36 39 40 44 45 48 52 53 55 60 64 65 66 72 78 80 88 90 96 99 104 106 110 117 120 128 130 132 143 144 156 159 160 165 176 180 192 195 198 208 212 220 234 240 256 260 264 265 286 288 312 318 320 330 352 360 384 390 396 416 424 429 440 468 477 480 495 512 520 528 530 572 576 583 585 601 624 636 640 660 689 704 715 720 768 780 792 795 832 848 858 880 936 954 960 990 1024 1040 1056 1060 1144 1152 1166 1170 1202 1248 1272 1280 1287 1320 1378 1408 1430 1440 1536 1560 1584 1590 1664 1696 1716 1749 1760 1803 1872 1908 1920 1980 2048 2067 2080 2112 2120 2145 2288 2304 2332 2340 2385 2404 2496 2544 2560 2574 2640 2756 2816 2860 2880 2915 3005 3072 3120 3168 3180 3328 3392 3432 3445 3498 3520 3606 3744 3816 3840 3960 4096 4134 4160 4224 4240 4290 4576 4608 4664 4680 4770 4808 4992 5088 5120 5148 5247 5280 5409 5512 5632 5720 5760 5830 6010 6144 6201 6240 6336 6360 6435 6611 6656 6784 6864 6890 6996 7040 7212 7488 7579 7632 7680 7813 7920 8192 8268 8320 8448 8480 8580 8745 9015 9152 9216 9328 9360 9540 9616 9984 10176 10240 10296 10335 10494 10560 10818 11024 11264 11440 11520 11660 12020 12288 12402 12480 12672 12720 12870 13222 13312 13568 13728 13780 13992 14080 14424 14976 15158 15264 15360 15626 15840 16384 16536 16640 16896 16960 17160 17490 18030 18304 18432 18656 18720 19080 19232 19833 19968 20352 20480 20592 20670 20988 21120 21636 22048 22528 22737 22880 23040 23320 23439 24040 24576 24804 24960 25344 25440 25740 26235 26444 26624 27045 27136 27456 27560 27984 28160 28848 29952 30316 30528 30720 31005 31252 31680 31853 32768 33055 33072 33280 33792 33920 34320 34980 36060 36608 36864 37312 37440 37895 38160 38464 39065 39666 39936 40704 40960 41184 41340 41976 42240 43272 44096 45056 45474 45760 46080 46640 46878 48080 49152 49608 49920 50688 50880 51480 52470 52888 53248 54090 54272 54912 55120 55968 56320 57696 59499 59904 60632 61056 61440 62010 62504 63360 63706 65536 66110 66144 66560 67584 67840 68211 68640 69960 70317 72120 73216 73728 74624 74880 75790 76320 76928 78130 79332 79872 81408 81920 82368 82680 83952 84480 85943 86544 88192 90112 90948 91520 92160 93280 93756 95559 96160 98304 99165 99216 99840 101376 101760 102960 104940 105776 106496 108180 108544 109824 110240 111936 112640 113685 115392 117195 118998 119808 121264 122112 122880 124020 125008 126720 127412 131072 132220 132288 133120 135168 135680 136422 137280 139920 140634 144240 146432 147456 149248 149760 151580 152640 153856 156260 158664 159265 159744 162816 163840 164736 165360 167904 168960 171886 173088 176384 180224 181896 183040 184320 186560 187512 191118 192320 196608 198330 198432 199680 202752 203520 205920 209880 211552 212992 216360 217088 219648 220480 223872 225280 227370 230784 234390 237996 239616 242528 244224 245760 248040 250016 253440 254824 257829 262144 264440 264576 266240 270336 271360 272844 274560 279840 281268 286677 288480 292864 294912 297495 298496 299520 303160 305280 307712 312520 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1603213983744 1622119809024 1628264202240 1653314420736 1663712624640 1679147458560 1736815149056 1791090622464 1802355343360 1837016023040 1907317800960 1953917042688 1966205829120 2004017479680 2027649761280 2066643025920 2162826412032 2171018936320 2204419227648 2238863278080 2388120829952 2404820975616 2442396303360 2495568936960 2605222723584 2672023306240 2686635933696 2703533015040 2755524034560 2860976701440 2939225636864 2949308743680 2985151037440 3006026219520 3244239618048 3256528404480 3306628841472 3358294917120 3473630298112 3582181244928 3604710686720 3674032046080 3907834085376 4008034959360 4055299522560 4133286051840 4325652824064 4342037872640 4408838455296 4477726556160 4776241659904 4809641951232 4884792606720 4991137873920 5210445447168 5373271867392 5407066030080 5511048069120 5721953402880 5878451273728 5898617487360 5970302074880 6012052439040 6488479236096 6513056808960 6613257682944 6716589834240 6947260596224 7164362489856 7209421373440 7348064092160 7815668170752 8016069918720 8110599045120 8266572103680 8684075745280 8817676910592 8955453112320 9552483319808 9769585213440 10420890894336 10746543734784 10814132060160 11022096138240 11940604149760 12024104878080 12976958472192 13026113617920 13226515365888 13433179668480 14328724979712 14696128184320 15631336341504 16221198090240 16533144207360 17368151490560 17635353821184 17910906224640 19104966639616 19539170426880 20841781788672 21493087469568 21628264120320 22044192276480 23881208299520 24048209756160 26052227235840 26453030731776 26866359336960 28657449959424 29392256368640 31262672683008 32442396180480 33066288414720 34736302981120 35821812449280 38209933279232 39078340853760 42986174939136 44088384552960 47762416599040 52104454471680 52906061463552 53732718673920 57314899918848 62525345366016 64884792360960 66132576829440 71643624898560 76419866558464 78156681707520 85972349878272 88176769105920 95524833198080 104208908943360 107465437347840 114629799837696 132265153658880 143287249797120 156313363415040 171944699756544 191049666396160 214930874695680 229259599675392 264530307317760 286574499594240 312626726830080 343889399513088 382099332792320 429861749391360 573148999188480 687778799026176 859723498782720 1146297998376960 1719446997565440 3438893995130880
- Sum of all divisors σ(n): 14293678652390592
- Sum of proper divisors (its aliquot sum) s(n): 10854784657259712
- 3438893995130880 is an abundant number, because the sum of its proper divisors (10854784657259712) is greater than itself. Its abundance is 7415890662128832
Bases of 3438893995130880
- Binary: 11000011011110100111111001110000000000000000000000002
- Hexadecimal: 0xC37A7E7000000
- Base-36: XUZI3B37K0
Squares and roots of 3438893995130880
- 3438893995130880 squared (34388939951308802) is 11825991909747224917148329574400
- 3438893995130880 cubed (34388939951308803) is 40668332564896099556643479894841439102697472000
-
The
square root of 3438893995130880 is 58642083.8232312477 -
The
cube root of 3438893995130880 is 150940.6663532533
Scales and comparisons
How big is 3438893995130880?- 3,438,893,995,130,880 seconds is equal to 109,346,191 years, 44 weeks, 12 hours, 48 minutes.
-
To count from 1 to 3,438,893,995,130,880 would take you about three hundred twenty-eight million, thirty-eight thousand, five hundred seventy-five 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 3438893995130880 cubic inches would be around 12578.4 feet tall.
Recreational maths with 3438893995130880
- 3438893995130880 backwards is 0880315993988343
- The number of decimal digits it has is: 16
- The sum of 3438893995130880's digits is 81
- More coming soon!
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"Number 3438893995130880 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 3438893995130880 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/3438893995130880/
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The information we have on file for 3438893995130880 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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