138320152392240
138,320,152,392,240 is an even composite number composed of nine prime numbers multiplied together.
What does the number 138320152392240 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 2560 divisors.
138320152392240 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand, five hundred sixty divisors.
Prime factorization of 138320152392240:
24 × 33 × 5 × 7 × 13 × 53 × 61 × 307 × 709
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 13 × 53 × 61 × 307 × 709)See below for interesting mathematical facts about the number 138320152392240 from the Numbermatics database.
Names of 138320152392240
- Cardinal: 138320152392240 can be written as One hundred thirty-eight trillion, three hundred twenty billion, one hundred fifty-two million, three hundred ninety-two thousand, two hundred forty.
Scientific notation
- Scientific notation: 1.3832015239224 × 1014
Factors of 138320152392240
Divisors of 138320152392240
- Number of divisors d(n): 2560
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 30 35 36 39 40 42 45 48 52 53 54 56 60 61 63 65 70 72 78 80 84 90 91 104 105 106 108 112 117 120 122 126 130 135 140 144 156 159 168 180 182 183 189 195 208 210 212 216 234 240 244 252 260 265 270 273 280 305 307 312 315 318 336 351 360 364 366 371 378 390 420 424 427 432 455 468 477 488 504 520 530 540 546 549 560 585 610 614 624 630 636 689 702 709 720 728 732 742 756 780 793 795 819 840 848 854 910 915 921 936 945 954 976 1008 1040 1060 1080 1092 1098 1113 1170 1220 1228 1260 1272 1281 1365 1378 1404 1418 1431 1456 1464 1484 1512 1535 1560 1586 1590 1638 1647 1680 1708 1755 1820 1830 1842 1855 1872 1890 1908 2067 2120 2127 2135 2149 2160 2184 2196 2226 2340 2379 2385 2440 2456 2457 2520 2544 2562 2730 2745 2756 2763 2808 2836 2862 2928 2968 3024 3070 3120 3172 3180 3233 3276 3294 3339 3416 3445 3510 3545 3640 3660 3684 3710 3780 3816 3843 3965 3991 4095 4134 4240 4254 4270 4298 4368 4392 4452 4605 4680 4758 4770 4823 4880 4912 4914 4963 5040 5124 5460 5490 5512 5526 5551 5565 5616 5672 5724 5936 6140 6201 6344 6360 6381 6405 6447 6466 6552 6588 6678 6832 6890 7020 7090 7137 7155 7280 7320 7368 7420 7560 7632 7686 7930 7982 8190 8235 8268 8289 8508 8540 8596 8784 8904 9210 9217 9360 9516 9540 9646 9699 9828 9926 10017 10248 10335 10635 10745 10920 10980 11024 11052 11102 11130 11344 11448 11529 11895 11973 12280 12285 12402 12688 12720 12762 12810 12894 12932 13104 13176 13356 13780 13815 14040 14180 14274 14310 14469 14640 14736 14840 14889 15120 15372 15860 15964 16165 16271 16380 16470 16536 16578 16653 16695 17016 17080 17192 17808 18420 18434 18603 18727 19032 19080 19143 19215 19292 19341 19398 19656 19852 19955 20034 20496 20670 21270 21411 21490 21840 21960 22104 22204 22260 22631 22896 23058 23790 23946 24115 24560 24570 24804 24815 25524 25620 25788 25864 26352 26712 27560 27630 27651 27755 27937 28080 28360 28548 28620 28938 29097 29680 29778 30744 31005 31720 31905 31928 32235 32330 32542 32760 32940 33072 33156 33306 33390 34032 34160 34384 35685 35919 36840 36868 37206 37454 37577 38064 38160 38286 38430 38584 38682 38796 39312 39704 39910 40068 41340 41445 42029 42540 42822 42980 43249 43407 43920 44208 44408 44520 44667 45262 46085 46116 47580 47892 48230 48495 48813 49140 49608 49630 49959 50085 51048 51240 51576 51728 53424 55120 55260 55302 55510 55874 56181 56720 57096 57240 57645 57876 58023 58194 59556 59865 61488 62010 63440 63810 63856 64470 64519 64660 65084 65520 65880 66312 66612 66780 67893 71370 71838 72345 73680 73736 74412 74445 74908 75154 76572 76860 77168 77364 77592 79408 79820 80136 81355 82680 82890 82953 83265 83811 84058 85080 85644 85960 86498 86814 87291 88816 89040 89334 90524 92170 92232 93015 93635 95160 95715 95784 96460 96705 96990 97626 98280 99216 99260 99918 100170 102096 102480 103152 107055 107757 110520 110604 111020 111748 112362 112731 113155 113897 114192 114480 115290 115752 116046 116388 119112 119730 124020 126087 127620 128940 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109777898724 112638560580 113377174092 118222352472 124276866480 125974637880 126666806220 128074215178 130490709804 133000146531 137222373405 141721467615 144989677560 146370531632 147777940590 150184747440 151169565456 152000167464 161967391560 163113387255 164666848086 168889074960 173987613072 174426421680 177333528708 182963164540 186415299720 188961956820 190000209330 192111322767 195091893360 197037254120 200754938160 217484516340 219555797448 221666910885 225277121160 226754348184 236444704944 247000272129 251949275760 253333612440 256148430356 260981419608 266000293062 274444746810 283442935230 289979355120 295555881180 304000334928 320185537945 323934783120 326226774510 329333696172 354667057416 365926329080 372830599440 377923913640 380000418660 384222645534 394074508240 411667120215 434969032680 439111594896 443333821770 450554242320 453508696368 494000544258 506667224880 512296860712 521962839216 532000586124 548889493620 566885870460 576333968301 591111762360 640371075890 652453549020 658667392344 665000732655 709334114832 731852658160 755847827280 760000837320 768445291068 823334240430 869938065360 886667643540 960556613835 988001088516 1024593721424 1064001172248 1097778987240 1133771740920 1152667936602 1182223524720 1235001360645 1280742151780 1304907098040 1317334784688 1330001465310 1520001674640 1536890582136 1646668480860 1729001904903 1773335287080 1921113227670 1976002177032 2128002344496 2195557974480 2267543481840 2305335873204 2470002721290 2561484303560 2609814196080 2660002930620 2881669841505 3073781164272 3293336961720 3458003809806 3546670574160 3842226455340 3952004354064 4610671746408 4940005442580 5122968607120 5320005861240 5763339683010 6586673923440 6916007619612 7684452910680 8645009524515 9221343492816 9880010885160 10640011722480 11526679366020 13832015239224 15368905821360 17290019049030 19760021770320 23053358732040 27664030478448 34580038098060 46106717464080 69160076196120 138320152392240
- Sum of all divisors σ(n): 610078152499200
- Sum of proper divisors (its aliquot sum) s(n): 471758000106960
- 138320152392240 is an abundant number, because the sum of its proper divisors (471758000106960) is greater than itself. Its abundance is 333437847714720
Bases of 138320152392240
- Binary: 111110111001101001010111000110001110010001100002
- Hexadecimal: 0x7DCD2B8C7230
- Base-36: 1D13EFEWC0
Squares and roots of 138320152392240
- 138320152392240 squared (1383201523922402) is 19132464557812496994812217600
- 138320152392240 cubed (1383201523922403) is 2646405413275755269978342971134219431424000
-
The
square root of 138320152392240 is 11760958.8211267877 -
The
cube root of 138320152392240 is 51716.4238646335
Scales and comparisons
How big is 138320152392240?- 138,320,152,392,240 seconds is equal to 4,398,152 years, 51 weeks, 4 days, 17 hours, 24 minutes.
-
To count from 1 to 138,320,152,392,240 would take you about ten million, nine hundred ninety-five thousand, three hundred eighty-two 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 138320152392240 cubic inches would be around 4309.7 feet tall.
Recreational maths with 138320152392240
- 138320152392240 backwards is 042293251023831
- 138320152392240 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138320152392240's digits is 45
- More coming soon!
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"Number 138320152392240 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 138320152392240 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/138320152392240/
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The information we have on file for 138320152392240 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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