138519971200
138,519,971,200 is an even composite number composed of six prime numbers multiplied together.
138519971200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138519971200:
27 × 52 × 133 × 17 × 19 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 13 × 17 × 19 × 61)See below for interesting mathematical facts about the number 138519971200 from the Numbermatics database.
Names of 138519971200
- Cardinal: 138519971200 can be written as One hundred thirty-eight billion, five hundred nineteen million, nine hundred seventy-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.385199712 × 1011
Factors of 138519971200
Divisors of 138519971200
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 19 20 25 26 32 34 38 40 50 52 61 64 65 68 76 80 85 95 100 104 122 128 130 136 152 160 169 170 190 200 208 221 244 247 260 272 304 305 320 323 325 338 340 380 400 416 425 442 475 488 494 520 544 608 610 640 646 650 676 680 760 793 800 832 845 850 884 950 976 988 1037 1040 1088 1105 1159 1216 1220 1235 1292 1300 1352 1360 1520 1525 1586 1600 1615 1664 1690 1700 1768 1900 1952 1976 2074 2080 2176 2197 2210 2318 2432 2440 2470 2584 2600 2704 2720 2873 3040 3050 3172 3200 3211 3230 3380 3400 3536 3800 3904 3952 3965 4148 4160 4199 4225 4394 4420 4636 4880 4940 5168 5185 5200 5408 5440 5525 5746 5795 6080 6100 6175 6344 6422 6460 6760 6800 7072 7600 7808 7904 7930 8075 8296 8320 8398 8450 8788 8840 9272 9760 9880 10309 10336 10370 10400 10816 10880 10985 11050 11492 11590 12160 12200 12350 12688 12844 12920 13481 13520 13600 14144 14365 15067 15200 15808 15860 16055 16150 16592 16796 16900 17576 17680 18544 19520 19703 19760 19825 20618 20672 20740 20800 20995 21632 21970 22100 22984 23180 24400 24700 25376 25688 25840 25925 26962 27040 27200 28288 28730 28975 30134 30400 31616 31720 32110 32300 33184 33592 33800 35152 35360 37088 37349 39040 39406 39520 39650 41236 41344 41480 41600 41743 41990 43940 44200 45968 46360 48800 49400 50752 51376 51545 51680 51850 53924 54080 54400 54587 54925 57460 57950 60268 60800 63440 64220 64600 66368 67184 67405 67600 70304 70720 71825 74176 74698 75335 78812 79040 79300 80275 82472 82960 83486 83980 87880 88400 91936 92720 97600 98515 98800 101504 102752 103090 103360 103700 104975 107848 108160 109174 109850 114920 115900 120536 126880 128440 129200 132736 134017 134368 134810 135200 140608 141440 143650 148352 149396 150670 157624 158080 158600 160550 164944 165920 166972 167960 175253 175760 176800 183872 185440 186745 195200 195871 197030 197600 205504 206180 206720 207400 208715 209950 215696 218348 219700 229840 231800 241072 253760 256139 256880 257725 258400 268034 268736 269620 270400 272935 281216 287300 298792 301340 315248 317200 321100 329888 331840 333944 335920 337025 350506 351520 353600 367744 370880 373490 376675 391742 394060 395200 411008 412360 414800 417430 419900 431392 436696 439400 459680 463600 482144 492575 507520 512278 513760 515450 516800 536068 537472 539240 540800 545870 574600 597584 602680 630496 634400 642200 659776 663680 667888 670085 671840 674050 701012 703040 707200 709631 741760 746980 753350 783484 788120 790400 824720 829600 834860 839800 862784 873392 876265 878800 919360 927200 933725 964288 979355 985150 1024556 1027520 1030900 1033600 1043575 1072136 1078480 1091740 1149200 1195168 1205360 1260992 1268800 1280695 1284400 1319552 1335776 1340170 1343680 1348100 1364675 1402024 1406080 1419262 1493960 1506700 1566968 1576240 1649440 1659200 1669720 1679600 1725568 1746784 1752530 1757600 1838720 1854400 1867450 1928576 1958710 1970300 2049112 2055040 2061800 2087150 2144272 2156960 2183480 2278289 2298400 2390336 2410720 2521984 2537600 2546323 2561390 2568800 2671552 2680340 2687360 2696200 2729350 2804048 2838524 2987920 3013400 3133936 3152480 3298880 3318400 3329807 3339440 3350425 3359200 3493568 3505060 3515200 3548155 3708800 3734900 3917420 3940600 4098224 4123600 4174300 4288544 4313920 4366960 4381325 4556578 4596800 4780672 4821440 4896775 5092646 5122780 5137600 5343104 5360680 5392400 5458700 5608096 5677048 5975840 6026800 6267872 6304960 6403475 6597760 6659614 6678880 6700850 6718400 6987136 7010120 7030400 7096310 7469800 7834840 7881200 8196448 8247200 8348600 8577088 8627840 8733920 8762650 9113156 9193600 9642880 9793550 10185292 10245560 10275200 10721360 10784800 10917400 11216192 11354096 11391445 11951680 12053600 12535744 12609920 12731615 12806950 13319228 13357760 13401700 13436800 14020240 14192620 14939600 15669680 15762400 16392896 16494400 16649035 16697200 17154176 17467840 17525300 17740775 18226312 19587100 20370584 20491120 21442720 21569600 21834800 22432384 22708192 22782890 23903360 24107200 25071488 25463230 25613900 26638456 26715520 26803400 28040480 28385240 29879200 31339360 31524800 32785792 32988800 33298070 33394400 34935680 35050600 35481550 36452624 39174200 40741168 40982240 42885440 43139200 43287491 43669600 45416384 45565780 48214400 50926460 51227800 53276912 53606800 56080960 56770480 56957225 59758400 62678720 63049600 63658075 66596140 66788800 70101200 70963100 72905248 78348400 81482336 81964480 83245175 85770880 86574982 87339200 90832768 91131560 101852920 102455600 106553824 107213600 112161920 113540960 113914450 119516800 125357440 127316150 133192280 133577600 140202400 141926200 145810496 156696800 162964672 163928960 166490350 173149964 174678400 182263120 203705840 204911200 213107648 214427200 216437455 227081920 227828900 254632300 266384560 280404800 283852400 291620992 313393600 325929344 332980700 346299928 364526240 407411680 409822400 426215296 428854400 432874910 454163840 455657800 509264600 532769120 560809600 567704800 626787200 665961400 692599856 729052480 814823360 819644800 865749820 911315600 1018529200 1065538240 1082187275 1135409600 1331922800 1385199712 1458104960 1629646720 1731499640 1822631200 2037058400 2131076480 2164374550 2270819200 2663845600 2770399424 3462999280 3645262400 4074116800 4328749100 5327691200 5540798848 6925998560 7290524800 8148233600 8657498200 10655382400 13851997120 17314996400 27703994240 34629992800 69259985600 138519971200
- Sum of all divisors σ(n): 419926248000
- Sum of proper divisors (its aliquot sum) s(n): 281406276800
- 138519971200 is an abundant number, because the sum of its proper divisors (281406276800) is greater than itself. Its abundance is 142886305600
Bases of 138519971200
- Binary: 100000010000000110111100000101100000002
- Hexadecimal: 0x20406F0580
- Base-36: 1RMV7PTS
Squares and roots of 138519971200
- 138519971200 squared (1385199712002) is 19187782421248829440000
- 138519971200 cubed (1385199712003) is 2657891068383254122062512128000000
-
The
square root of 138519971200 is 372182.7121186581 -
The
cube root of 138519971200 is 5174.1315253217
Scales and comparisons
How big is 138519971200?- 138,519,971,200 seconds is equal to 4,404 years, 26 weeks, 2 days, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 138,519,971,200 would take you about eight thousand, eight hundred nine 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 138519971200 cubic inches would be around 431.2 feet tall.
Recreational maths with 138519971200
- 138519971200 backwards is 002179915831
- The number of decimal digits it has is: 12
- The sum of 138519971200's digits is 46
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138519971200 - Facts about the integer". Numbermatics.com. 2024. Web. 10 June 2024.
APA style:
Numbermatics. (2024). Number 138519971200 - Facts about the integer. Retrieved 10 June 2024, from https://numbermatics.com/n/138519971200/
Chicago style:
Numbermatics. 2024. "Number 138519971200 - Facts about the integer". https://numbermatics.com/n/138519971200/
The information we have on file for 138519971200 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!
Keywords: Divisors of 138519971200, math, Factors of 138519971200, curriculum, school, college, exams, university, Prime factorization of 138519971200, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, five hundred nineteen million, nine hundred seventy-one thousand, two hundred.