138120222240
138,120,222,240 is an even composite number composed of eight prime numbers multiplied together.
138120222240 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138120222240:
25 × 32 × 5 × 7 × 112 × 13 × 31 × 281
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 11 × 11 × 13 × 31 × 281)See below for interesting mathematical facts about the number 138120222240 from the Numbermatics database.
Names of 138120222240
- Cardinal: 138120222240 can be written as One hundred thirty-eight billion, one hundred twenty million, two hundred twenty-two thousand, two hundred forty.
Scientific notation
- Scientific notation: 1.3812022224 × 1011
Factors of 138120222240
Divisors of 138120222240
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 20 21 22 24 26 28 30 31 32 33 35 36 39 40 42 44 45 48 52 55 56 60 62 63 65 66 70 72 77 78 80 84 88 90 91 93 96 99 104 105 110 112 117 120 121 124 126 130 132 140 143 144 154 155 156 160 165 168 176 180 182 186 195 198 208 210 217 220 224 231 234 240 242 248 252 260 264 273 279 280 281 286 288 308 310 312 315 330 336 341 352 360 363 364 372 385 390 396 403 416 420 429 434 440 455 462 465 468 480 484 495 496 504 520 528 546 558 560 562 572 585 605 616 620 624 630 651 660 672 682 693 715 720 726 728 744 770 780 792 806 819 840 843 847 858 868 880 910 924 930 936 968 990 992 1001 1008 1023 1040 1056 1085 1089 1092 1116 1120 1124 1144 1155 1170 1209 1210 1232 1240 1248 1260 1287 1302 1320 1364 1365 1386 1395 1405 1430 1440 1452 1456 1488 1540 1560 1573 1584 1612 1638 1680 1686 1694 1705 1716 1736 1760 1815 1820 1848 1860 1872 1936 1953 1967 1980 2002 2015 2016 2046 2080 2145 2170 2178 2184 2232 2248 2288 2310 2340 2387 2418 2420 2464 2480 2520 2529 2541 2574 2604 2640 2728 2730 2772 2790 2810 2821 2860 2904 2912 2976 3003 3069 3080 3091 3120 3146 3168 3224 3255 3276 3360 3372 3388 3410 3432 3465 3472 3627 3630 3640 3653 3696 3720 3744 3751 3872 3906 3934 3960 4004 4030 4092 4095 4215 4235 4290 4340 4356 4368 4433 4464 4496 4576 4620 4680 4719 4774 4836 4840 4960 5005 5040 5058 5082 5115 5148 5208 5280 5445 5456 5460 5544 5580 5620 5642 5720 5808 5901 6006 6045 6138 6160 6182 6240 6292 6435 6448 6510 6552 6744 6776 6820 6864 6930 6944 7161 7254 7260 7280 7306 7392 7440 7502 7623 7812 7865 7868 7920 8008 8060 8184 8190 8430 8463 8470 8580 8680 8711 8712 8736 8866 8928 8992 9009 9240 9273 9360 9438 9548 9672 9680 9765 9835 10010 10080 10116 10164 10230 10296 10416 10890 10912 10920 10959 11011 11088 11160 11240 11253 11284 11440 11616 11802 11935 12012 12090 12276 12320 12364 12584 12645 12705 12870 12896 13020 13104 13299 13488 13552 13640 13728 13860 14105 14157 14322 14508 14520 14560 14612 14880 15004 15015 15246 15345 15455 15624 15730 15736 15840 16016 16120 16368 16380 16860 16926 16940 17160 17360 17422 17424 17703 17732 18018 18135 18265 18480 18546 18720 18755 18876 19096 19344 19360 19530 19670 20020 20232 20328 20460 20592 20832 21483 21637 21780 21840 21918 22022 22165 22176 22320 22480 22506 22568 22880 23595 23604 23870 24024 24180 24552 24728 25168 25290 25389 25410 25571 25740 26040 26133 26208 26257 26598 26976 27104 27280 27720 27819 28210 28314 28644 29016 29040 29224 29505 30008 30030 30492 30690 30910 31031 31248 31460 31472 32032 32240 32736 32760 32877 33033 33720 33759 33852 33880 34001 34320 34720 34844 34848 35406 35464 35805 36036 36270 36530 36960 37092 37510 37752 38115 38192 38688 39060 39340 39897 40040 40183 40464 40656 40920 41184 42315 42966 43274 43555 43560 43680 43836 44044 44330 44640 44960 45012 45045 45136 46365 47190 47208 47740 48048 48360 48763 49104 49456 50336 50580 50778 50820 51142 51480 52080 52266 52514 53196 54560 54795 55055 55440 55638 56265 56420 56628 57288 58032 58080 58448 59010 60016 60060 60977 60984 61380 61820 62062 62496 62920 62944 64480 64911 65520 65754 66066 66495 67440 67518 67704 67760 68002 68640 69688 70785 70812 70928 71610 72072 72540 73060 74184 75020 75504 76230 76384 76713 78120 78399 78680 78771 79794 80080 80366 80928 81312 81840 84630 85932 86548 87110 87120 87672 88088 88515 88660 90024 90090 90272 92730 93093 94380 94416 95480 95821 96096 96720 97526 98208 98912 99099 101160 101556 101640 102003 102284 102960 104160 104532 105028 106392 107415 108185 109590 110110 110880 111276 112530 112840 113243 113256 114576 116064 116896 118020 120032 120120 120549 121954 121968 122760 123640 124124 125840 126945 127855 129822 130665 131040 131285 131508 132132 132990 134880 135036 135408 135520 136004 139095 139376 141570 141624 141856 143220 144144 145080 146120 146289 148368 150040 151008 152460 153426 155155 156240 156798 157360 157542 159588 160160 160732 163680 164385 165165 168795 169260 170005 171864 173096 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342730080 348788440 354154416 358753824 371290920 379451160 380496480 383667284 392386995 405044640 411072090 418546128 438476896 442693020 445549104 448442280 479584105 482937840 491531040 493286508 495054560 505934880 523182660 531231624 548096120 556936380 570744720 575500926 590257360 597923040 616608135 627819192 636498720 657715344 664039530 697576880 708308832 742581840 758902320 767334568 784773990 822144180 837092256 863251389 885386040 891098208 896884560 959168210 965875680 986573016 1046365320 1062463248 1096192240 1113872760 1141489440 1151001852 1180514720 1233216270 1255638384 1315430688 1328079060 1395153760 1438752315 1485163680 1517804640 1534669136 1569547980 1644288360 1726502778 1770772080 1793769120 1918336420 1973146032 2092730640 2124926496 2192384480 2227745520 2302003704 2466432540 2511276768 2656158120 2877504630 3069338272 3139095960 3288576720 3453005556 3541544160 3836672840 3946292064 4185461280 4316256945 4455491040 4604007408 4932865080 5312316240 5755009260 6278191920 6577153440 6906011112 7673345680 8632513890 9208014816 9865730160 10624632480 11510018520 12556383840 13812022224 15346691360 17265027780 19731460320 23020037040 27624044448 34530055560 46040074080 69060111120 138120222240
- Sum of all divisors σ(n): 660547270656
- Sum of proper divisors (its aliquot sum) s(n): 522427048416
- 138120222240 is an abundant number, because the sum of its proper divisors (522427048416) is greater than itself. Its abundance is 384306826176
Bases of 138120222240
- Binary: 100000001010001001101101010110001000002
- Hexadecimal: 0x20289B5620
- Base-36: 1RG97PK0
Squares and roots of 138120222240
- 138120222240 squared (1381202222402) is 19077195791626990617600
- 138120222240 cubed (1381202222403) is 2634946522455512675285306855424000
-
The
square root of 138120222240 is 371645.2908890413 -
The
cube root of 138120222240 is 5169.1494602021
Scales and comparisons
How big is 138120222240?- 138,120,222,240 seconds is equal to 4,391 years, 41 weeks, 2 days, 16 hours, 24 minutes.
-
To count from 1 to 138,120,222,240 would take you about eight thousand, seven hundred eighty-three 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 138120222240 cubic inches would be around 430.8 feet tall.
Recreational maths with 138120222240
- 138120222240 backwards is 042222021831
- The number of decimal digits it has is: 12
- The sum of 138120222240's digits is 27
- More coming soon!
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"Number 138120222240 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 138120222240 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/138120222240/
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The information we have on file for 138120222240 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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