138494307409920
138,494,307,409,920 is an even composite number composed of seven prime numbers multiplied together.
138494307409920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 138494307409920:
213 × 35 × 5 × 7 × 11 × 157 × 1151
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 11 × 157 × 1151)See below for interesting mathematical facts about the number 138494307409920 from the Numbermatics database.
Names of 138494307409920
- Cardinal: 138494307409920 can be written as One hundred thirty-eight trillion, four hundred ninety-four billion, three hundred seven million, four hundred nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3849430740992 × 1014
Factors of 138494307409920
Divisors of 138494307409920
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 27 28 30 32 33 35 36 40 42 44 45 48 54 55 56 60 63 64 66 70 72 77 80 81 84 88 90 96 99 105 108 110 112 120 126 128 132 135 140 144 154 157 160 162 165 168 176 180 189 192 198 210 216 220 224 231 240 243 252 256 264 270 280 288 297 308 314 315 320 324 330 336 352 360 378 384 385 396 405 420 432 440 448 462 471 480 486 495 504 512 528 540 560 567 576 594 616 628 630 640 648 660 672 693 704 720 756 768 770 785 792 810 840 864 880 891 896 924 942 945 960 972 990 1008 1024 1056 1080 1099 1120 1134 1151 1152 1155 1188 1215 1232 1256 1260 1280 1296 1320 1344 1386 1408 1413 1440 1485 1512 1536 1540 1570 1584 1620 1680 1701 1727 1728 1760 1782 1792 1848 1884 1890 1920 1944 1980 2016 2048 2079 2112 2160 2198 2240 2268 2302 2304 2310 2355 2376 2430 2464 2512 2520 2560 2592 2640 2673 2688 2772 2816 2826 2835 2880 2970 3024 3072 3080 3140 3168 3240 3297 3360 3402 3453 3454 3456 3465 3520 3564 3584 3696 3768 3780 3840 3888 3960 4032 4096 4158 4224 4239 4320 4396 4455 4480 4536 4604 4608 4620 4710 4752 4860 4928 5024 5040 5120 5181 5184 5280 5346 5376 5495 5544 5632 5652 5670 5755 5760 5940 6048 6144 6160 6237 6280 6336 6480 6594 6720 6804 6906 6908 6912 6930 7040 7065 7128 7168 7392 7536 7560 7680 7776 7920 8057 8064 8192 8316 8448 8478 8505 8635 8640 8792 8910 8960 9072 9208 9216 9240 9420 9504 9720 9856 9891 10048 10080 10240 10359 10362 10368 10395 10560 10692 10752 10990 11088 11264 11304 11340 11510 11520 11880 12089 12096 12288 12320 12474 12560 12661 12672 12717 12960 13188 13365 13440 13608 13812 13816 13824 13860 14080 14130 14256 14336 14784 15072 15120 15360 15543 15552 15840 16114 16128 16485 16632 16896 16956 17010 17265 17270 17280 17584 17820 17920 18144 18416 18432 18480 18711 18840 19008 19440 19712 19782 20096 20160 20480 20718 20724 20736 20790 21120 21195 21384 21504 21980 22176 22528 22608 22680 23020 23040 23760 24171 24178 24192 24576 24640 24948 25120 25322 25344 25434 25905 25920 26376 26730 26880 27216 27624 27632 27648 27720 28160 28260 28512 28672 29568 29673 30144 30240 30720 31077 31086 31104 31185 31680 32228 32256 32970 33264 33792 33912 34020 34530 34540 34560 35168 35640 35840 36267 36288 36832 36864 36960 37422 37680 37983 38016 38151 38880 39424 39564 40192 40285 40320 40960 41436 41448 41472 41580 42240 42390 42768 43008 43960 44352 45056 45216 45360 46040 46080 46629 47520 48342 48356 48384 49280 49455 49896 50240 50644 50688 50868 51795 51810 51840 52752 53460 53760 54432 55248 55264 55296 55440 56320 56520 57024 57344 59136 59346 60288 60445 60480 61440 62154 62172 62208 62370 63305 63360 63585 64456 64512 65940 66528 67584 67824 68040 69060 69080 69120 70336 71280 71680 72513 72534 72576 73664 73728 73920 74844 75360 75966 76032 76302 77715 77760 78848 79128 80384 80570 80640 82872 82896 82944 83160 84480 84780 85536 86016 87920 88627 88704 89019 90112 90432 90720 92080 92160 93231 93258 93555 95040 96684 96712 96768 98560 98910 99792 100480 101288 101376 101736 103590 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34973309952 35620963840 36066225888 36638705664 36755389440 37471403520 38642384880 38859233280 39344973696 39969497088 40073584320 40096788480 40108400640 40709672960 41218543872 42006159360 42745156608 43716637440 44106467328 44965684224 45082782360 45798382080 46631079936 48088301184 48851607552 49007185920 49181217120 49961871360 51523179840 51812311040 52459964928 53431445760 54099338832 54958058496 55133084160 56207105280 56993542144 58288849920 58808623104 59954245632 60110376480 60162600960 61064509440 61827815808 63009239040 64117734912 65574956160 66615828480 67624173540 68697573120 69946619904 71241927680 72132451776 73277411328 73510778880 74942807040 77284769760 77718466560 78689947392 80147168640 80193576960 81419345920 82437087744 85490313216 87433274880 88212934656 89931368448 90165564720 91596764160 93262159872 96176602368 98014371840 98362434240 99923742720 103046359680 104919929856 106862891520 108198677664 109916116992 110266168320 112414210560 113987084288 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577059614208 599542456320 618278158080 629519579136 641177349120 659496701952 699466199040 721324517760 732774113280 769412818944 786899473920 824370877440 839359438848 854903132160 865589421312 882129346560 899313684480 961766023680 989245052928 1025883758592 1049199298560 1081986776640 1099161169920 1154119228416 1236556316160 1259039158272 1282354698240 1318993403904 1398932398080 1442649035520 1538825637888 1573798947840 1648741754880 1709806264320 1731178842624 1798627368960 1923532047360 1978490105856 2098398597120 2163973553280 2198322339840 2308238456832 2473112632320 2518078316544 2564709396480 2885298071040 3077651275776 3147597895680 3297483509760 3462357685248 3847064094720 3956980211712 4196797194240 4327947106560 4616476913664 4946225264640 5129418792960 5770596142080 6295195791360 6594967019520 6924715370496 7694128189440 8655894213120 9232953827328 9892450529280 11541192284160 12590391582720 13849430740992 15388256378880 17311788426240 19784901058560 23082384568320 27698861481984 34623576852480 46164769136640 69247153704960 138494307409920
- Sum of all divisors σ(n): 625211365588992
- Sum of proper divisors (its aliquot sum) s(n): 486717058179072
- 138494307409920 is an abundant number, because the sum of its proper divisors (486717058179072) is greater than itself. Its abundance is 348222750769152
Bases of 138494307409920
- Binary: 111110111110101101101111111111100100000000000002
- Hexadecimal: 0x7DF5B7FF2000
- Base-36: 1D3BEMTC00
Squares and roots of 138494307409920
- 138494307409920 squared (1384943074099202) is 19180673184953421818914406400
- 138494307409920 cubed (1384943074099203) is 2656414048406148534065336878693758271488000
-
The
square root of 138494307409920 is 11768360.4384774007 -
The
cube root of 138494307409920 is 51738.1196604173
Scales and comparisons
How big is 138494307409920?- 138,494,307,409,920 seconds is equal to 4,403,690 years, 30 weeks, 2 days, 19 hours, 12 minutes.
-
To count from 1 to 138,494,307,409,920 would take you about eleven million, nine thousand, two 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 138494307409920 cubic inches would be around 4311.5 feet tall.
Recreational maths with 138494307409920
- 138494307409920 backwards is 029904703494831
- 138494307409920 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138494307409920's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 138494307409920 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
APA style:
Numbermatics. (2024). Number 138494307409920 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/138494307409920/
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Numbermatics. 2024. "Number 138494307409920 - Facts about the integer". https://numbermatics.com/n/138494307409920/
The information we have on file for 138494307409920 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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