3438933316520940
3,438,933,316,520,940 is an even composite number composed of seven prime numbers multiplied together.
What does the number 3438933316520940 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1944 divisors.
3438933316520940 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 3438933316520940:
22 × 32 × 5 × 73 × 532 × 612 × 732
(2 × 2 × 3 × 3 × 5 × 7 × 7 × 7 × 53 × 53 × 61 × 61 × 73 × 73)See below for interesting mathematical facts about the number 3438933316520940 from the Numbermatics database.
Names of 3438933316520940
- Cardinal: 3438933316520940 can be written as Three quadrillion, four hundred thirty-eight trillion, nine hundred thirty-three billion, three hundred sixteen million, five hundred twenty thousand, nine hundred forty.
Scientific notation
- Scientific notation: 3.43893331652094 × 1015
Factors of 3438933316520940
Divisors of 3438933316520940
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 53 60 61 63 70 73 84 90 98 105 106 122 126 140 146 147 159 180 183 196 210 212 219 244 245 252 265 292 294 305 315 318 343 365 366 371 420 427 438 441 477 490 511 530 549 588 610 630 636 657 686 730 732 735 742 795 854 876 882 915 954 980 1022 1029 1060 1095 1098 1113 1220 1260 1281 1314 1372 1460 1470 1484 1533 1590 1708 1715 1764 1830 1855 1908 2044 2058 2135 2190 2196 2205 2226 2385 2555 2562 2597 2628 2745 2809 2940 2989 3066 3087 3180 3233 3285 3339 3430 3577 3660 3710 3721 3843 3869 4116 4270 4380 4410 4452 4453 4599 4770 5110 5124 5145 5194 5329 5490 5565 5618 5978 6132 6174 6405 6466 6570 6678 6860 7154 7420 7442 7665 7686 7738 7791 8427 8540 8820 8906 8967 9198 9540 9699 10220 10290 10388 10658 10731 10980 11130 11163 11236 11607 11956 12348 12810 12932 12985 13140 13356 13359 14045 14308 14884 14945 15330 15372 15435 15476 15582 15987 16165 16695 16854 17812 17885 17934 18179 18396 18605 19215 19345 19398 19663 20580 20923 21316 21462 22260 22265 22326 22631 22995 23214 23373 25039 25281 25620 25970 26047 26645 26718 26901 27083 28090 29097 29890 30660 30870 31164 31171 31974 32193 32330 33390 33489 33708 34821 35770 35868 36358 37210 37303 38430 38690 38796 38955 39326 40077 41846 42135 42924 44530 44652 44835 45262 45990 46428 46746 47961 48495 50078 50562 51940 52094 53290 53436 53655 53802 54166 54537 55815 56180 58035 58194 58989 59780 61740 62342 62769 63948 64386 64660 66780 66795 66978 67893 69642 71540 72716 74420 74606 75117 76860 77380 77910 78141 78652 79935 80154 81249 83692 84270 89060 89670 90524 90895 91980 93492 93513 95922 96990 98315 100156 101124 104188 104615 106580 107310 107604 108332 109074 111630 111909 113155 116070 116388 116865 117978 124684 125195 125538 126405 128772 130235 133590 133956 134505 135415 135786 137641 139284 145485 149212 150234 155820 155855 156282 158417 159870 160308 160965 162498 163611 167445 168540 171349 174105 176967 179340 181790 182329 186515 187026 188307 189581 191844 193980 196630 197213 200385 203679 205057 209230 214620 218148 218197 223260 223818 225351 226310 232140 233730 234423 235956 236009 239805 243747 250390 251076 252810 260470 261121 267180 269010 270830 271572 271633 272685 275282 280539 282437 290970 294945 300468 311710 312564 313845 316834 319740 321930 324996 325069 327222 334890 335727 339465 342698 348210 353934 363580 364658 373030 374052 375585 376614 379162 390705 393260 394426 400770 406245 407358 410114 412923 418460 436394 447636 450702 452620 467460 467565 468846 472018 475251 479610 487494 500780 505620 514047 520940 522242 538020 541660 543266 545370 546987 550564 559545 561078 564874 568743 581940 589890 591639 615171 623420 627690 633668 643860 650138 654444 654591 669780 671454 678930 685396 688205 696420 707868 708027 729316 746060 751170 753228 758324 781410 783363 788852 792085 801540 812490 814716 814899 818055 820228 825846 847311 856745 872788 884835 901404 911645 935130 937692 941535 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16884083860 17161630444 17437660380 17489362338 17728288053 17925675635 18139651740 18262376420 18387461190 18437837796 18861142860 18917065386 19175495241 19432624820 19752065228 20069760060 20404256061 20537688892 21018961540 21162927030 21364478716 21452038055 21510810762 21708107820 22004666670 22064953428 22069909617 22890512910 23047297245 23637717404 24690081535 24984803340 25326125790 25395512436 25567326988 25672111115 25742445666 26405600004 26705598395 27205674748 27393564630 27468615492 27581191785 29148937230 29426546156 29547146755 29628097842 30391350948 30729729660 30806533338 31528442310 31744390545 31959158735 32046718074 32266216143 32872277556 33007000005 34007093435 34335769365 34978724676 35456576106 35851351270 36774922380 36783182695 37387837753 37834130772 37989188685 38350990482 38613668499 40808512122 41090346945 42325854060 42904076110 43021621524 43723405845 44009333340 44139819234 44442146763 44742822229 45781025820 46094594490 46209800007 47292663465 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747756755060 772273369980 772446836595 779803473134 785144592813 805370800122 835503721215 888842935260 894856444580 924196000140 926936203914 939599266809 961401542220 1002604465458 1029929115460 1046859457084 1063697283180 1081425571233 1114004961620 1121635132590 1150529714460 1169705209701 1224255363660 1252799022412 1308574321355 1324194577020 1342284666870 1345962159108 1441900761644 1544893673190 1559606946268 1565998778015 1570289185626 1610741600244 1671007442430 1682452698885 1802375952055 1853872407828 1879198533618 1949508682835 2005208930916 2013427000305 2162851142466 2243270265180 2317340509785 2339410419402 2355433778439 2506511163645 2617148642710 2684569333740 2729312155969 2818797800427 3089787346380 3131997556030 3140578371252 3244276713699 3342014884860 3364905397770 3509115629103 3604751904110 3758397067236 3899017365670 3925722964065 4026854000610 4325702284932 4634681019570 4678820838804 4697996334045 4710867556878 5013022327290 5234297285420 5407127856165 5458624311938 5637595600854 5848526048505 6263995112060 6488553427398 6729810795540 7018231258206 7209503808220 7798034731340 7851445928130 8053708001220 8187936467907 9269362039140 9395992668090 9421735113756 10026044654580 10814255712330 10917248623876 11275191201708 11697052097010 11777168892195 12977106854796 13646560779845 14036462516412 14093989002135 15702891856260 16221383568495 16375872935814 17545578145515 18791985336180 19105185091783 21628511424660 23394104194020 23554337784390 24563809403721 27293121559690 28187978004270 32442767136990 32751745871628 35091156291030 38210370183566 40939682339535 47108675568780 49127618807442 54586243119380 56375956008540 57315555275349 64885534273980 70182312582060 76420740367132 81879364679070 95525925458915 98255237614884 114631110550698 122819047018605 163758729358140 171946665826047 191051850917830 229262221101396 245638094037210 286577776376745 343893331652094 382103701835660 491276188074420 573155552753490 687786663304188 859733329130235 1146311105506980 1719466658260470 3438933316520940
- Sum of all divisors σ(n): 12780424847080800
- Sum of proper divisors (its aliquot sum) s(n): 9341491530559860
- 3438933316520940 is an abundant number, because the sum of its proper divisors (9341491530559860) is greater than itself. Its abundance is 5902558214038920
Bases of 3438933316520940
- Binary: 11000011011110110001000011101011110011001011111011002
- Hexadecimal: 0xC37B10EBCCBEC
- Base-36: XV005M12B0
Squares and roots of 3438933316520940
- 3438933316520940 squared (34389333165209402) is 11826262355477711699545458483600
- 3438933316520940 cubed (34389333165209403) is 40669727624169710970472418368508090760046584000
-
The
square root of 3438933316520940 is 58642419.0882414059 -
The
cube root of 3438933316520940 is 150941.2416519979
Scales and comparisons
How big is 3438933316520940?- 3,438,933,316,520,940 seconds is equal to 109,347,442 years, 7 weeks, 4 days, 5 hours, 9 minutes.
-
To count from 1 to 3,438,933,316,520,940 would take you about three hundred twenty-eight million, forty-two thousand, three hundred twenty-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 3438933316520940 cubic inches would be around 12578.4 feet tall.
Recreational maths with 3438933316520940
- 3438933316520940 backwards is 0490256133398343
- 3438933316520940 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 3438933316520940's digits is 63
- More coming soon!
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MLA style:
"Number 3438933316520940 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 3438933316520940 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/3438933316520940/
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Numbermatics. 2024. "Number 3438933316520940 - Facts about the integer". https://numbermatics.com/n/3438933316520940/
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