138074512141440
138,074,512,141,440 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138074512141440 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
138074512141440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138074512141440:
27 × 32 × 5 × 75 × 41 × 43 × 809
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 7 × 7 × 7 × 41 × 43 × 809)See below for interesting mathematical facts about the number 138074512141440 from the Numbermatics database.
Names of 138074512141440
- Cardinal: 138074512141440 can be written as One hundred thirty-eight trillion, seventy-four billion, five hundred twelve million, one hundred forty-one thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3807451214144 × 1014
Factors of 138074512141440
Divisors of 138074512141440
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 41 42 43 45 48 49 56 60 63 64 70 72 80 82 84 86 90 96 98 105 112 120 123 126 128 129 140 144 147 160 164 168 172 180 192 196 205 210 215 224 240 245 246 252 258 280 287 288 294 301 315 320 328 336 343 344 360 369 384 387 392 410 420 430 441 448 480 490 492 504 516 560 574 576 588 602 615 630 640 645 656 672 686 688 720 735 738 774 784 809 820 840 860 861 882 896 903 960 980 984 1008 1029 1032 1120 1148 1152 1176 1204 1230 1260 1290 1312 1344 1372 1376 1435 1440 1470 1476 1505 1548 1568 1618 1640 1680 1715 1720 1722 1763 1764 1806 1845 1920 1935 1960 1968 2009 2016 2058 2064 2107 2205 2240 2296 2352 2401 2408 2427 2460 2520 2580 2583 2624 2688 2709 2744 2752 2870 2880 2940 2952 3010 3087 3096 3136 3236 3280 3360 3430 3440 3444 3526 3528 3612 3690 3870 3920 3936 4018 4032 4045 4116 4128 4214 4305 4410 4480 4515 4592 4704 4802 4816 4854 4920 5040 5145 5160 5166 5248 5289 5418 5488 5504 5663 5740 5760 5880 5904 6020 6027 6174 6192 6272 6321 6472 6560 6720 6860 6880 6888 7052 7056 7203 7224 7281 7380 7740 7840 7872 8036 8064 8090 8232 8256 8428 8610 8815 8820 9030 9184 9408 9604 9632 9708 9840 10045 10080 10290 10320 10332 10535 10578 10836 10976 11326 11480 11760 11808 12005 12040 12054 12135 12341 12348 12384 12642 12915 12944 13120 13440 13545 13720 13760 13776 14063 14104 14112 14406 14448 14562 14749 14760 15435 15480 15680 15744 15867 16072 16180 16464 16512 16807 16856 16989 17220 17630 17640 18060 18081 18368 18816 18963 19208 19264 19416 19680 20090 20160 20580 20640 20664 21070 21156 21609 21672 21952 22652 22960 23520 23616 24010 24080 24108 24270 24682 24696 24768 25284 25830 25888 26240 26445 27090 27440 27520 27552 28126 28208 28224 28315 28812 28896 29124 29498 29520 30135 30870 30960 31360 31605 31734 32144 32360 32928 33169 33614 33712 33978 34440 34787 35260 35280 36015 36120 36162 36405 36736 37023 37926 38416 38528 38832 39360 39641 40180 40320 41160 41280 41328 42140 42189 42312 43218 43344 43904 44247 45304 45920 47040 47232 48020 48160 48216 48540 49364 49392 49536 50421 50568 50967 51660 51776 52890 54180 54880 55104 56252 56416 56448 56630 57624 57792 58248 58996 59040 60270 61705 61740 61920 63210 63468 64288 64720 65856 66338 67228 67424 67956 68880 69574 70315 70520 70560 72030 72240 72324 72810 73745 74046 75852 76832 77664 78720 79282 79335 80360 82320 82560 82656 84035 84280 84378 84624 84945 86387 86436 86688 88494 90405 90608 91840 94080 94815 96040 96320 96432 97080 98441 98728 98784 99507 100842 101136 101934 103243 103320 103552 104361 105780 108045 108360 109760 110208 111069 112504 112832 113260 115248 115584 116496 117992 118080 118923 120540 123410 123480 123840 126420 126567 126936 128576 129440 131712 132676 132741 134456 134848 135912 137760 139148 140630 141040 141120 144060 144480 144648 145620 147490 148092 151263 151704 153664 155328 158564 158670 160720 164640 165312 165845 168070 168560 168756 169248 169890 172774 172872 173376 173935 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821872096080 841917756960 862965700884 939282395520 958850778760 986246515296 1070345055360 1078707126105 1095829461440 1122557009280 1150620934512 1232808144120 1314995353728 1408923593280 1438276168140 1534161246016 1605517583040 1643744192160 1683835513920 1725931401768 1917701557520 1972493030592 2157414252210 2191658922880 2301241869024 2465616288240 2817847186560 2876552336280 3068322492032 3211035166080 3287488384320 3367671027840 3451862803536 3835403115040 3944986061184 4314828504420 4602483738048 4931232576480 5753104672560 6574976768640 6903725607072 7670806230080 8629657008840 9204967476096 9862465152960 11506209345120 13807451214144 15341612460160 17259314017680 19724930305920 23012418690240 27614902428288 34518628035360 46024837380480 69037256070720 138074512141440
- Sum of all divisors σ(n): 583787870265600
- Sum of proper divisors (its aliquot sum) s(n): 445713358124160
- 138074512141440 is an abundant number, because the sum of its proper divisors (445713358124160) is greater than itself. Its abundance is 307638845982720
Bases of 138074512141440
- Binary: 111110110010011111110100011111110101100100000002
- Hexadecimal: 0x7D93FA3FAC80
- Base-36: 1CXYJZJTS0
Squares and roots of 138074512141440
- 138074512141440 squared (1380745121414402) is 19064570903096661974565273600
- 138074512141440 cubed (1380745121414403) is 2632331326630963799501048434148995497984000
-
The
square root of 138074512141440 is 11750511.1438371055 -
The
cube root of 138074512141440 is 51685.7916379025
Scales and comparisons
How big is 138074512141440?- 138,074,512,141,440 seconds is equal to 4,390,342 years, 20 weeks, 3 days, 6 hours, 24 minutes.
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To count from 1 to 138,074,512,141,440 would take you about ten million, nine hundred seventy-five thousand, eight hundred fifty-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 138074512141440 cubic inches would be around 4307.1 feet tall.
Recreational maths with 138074512141440
- 138074512141440 backwards is 044141215470831
- 138074512141440 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138074512141440's digits is 45
- More coming soon!
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The information we have on file for 138074512141440 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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