138744349920
138,744,349,920 is an even composite number composed of seven prime numbers multiplied together.
138744349920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138744349920:
25 × 32 × 5 × 112 × 23 × 89 × 389
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 11 × 23 × 89 × 389)See below for interesting mathematical facts about the number 138744349920 from the Numbermatics database.
Names of 138744349920
- Cardinal: 138744349920 can be written as One hundred thirty-eight billion, seven hundred forty-four million, three hundred forty-nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3874434992 × 1011
Factors of 138744349920
Divisors of 138744349920
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 23 24 30 32 33 36 40 44 45 46 48 55 60 66 69 72 80 88 89 90 92 96 99 110 115 120 121 132 138 144 160 165 176 178 180 184 198 207 220 230 240 242 253 264 267 276 288 330 345 352 356 360 363 368 389 396 414 440 445 460 480 484 495 506 528 534 552 605 660 690 712 720 726 736 759 778 792 801 828 880 890 920 968 979 990 1012 1035 1056 1068 1089 1104 1167 1210 1265 1320 1335 1380 1424 1440 1452 1518 1556 1584 1602 1656 1760 1780 1815 1840 1936 1945 1958 1980 2024 2047 2070 2136 2178 2208 2277 2334 2420 2530 2640 2670 2760 2783 2848 2904 2937 3036 3112 3168 3204 3312 3501 3560 3630 3680 3795 3872 3890 3916 3960 4005 4048 4094 4140 4272 4279 4356 4554 4668 4840 4895 5060 5280 5340 5445 5520 5566 5808 5835 5874 6072 6141 6224 6408 6624 7002 7120 7260 7590 7780 7832 7920 8010 8096 8188 8280 8349 8544 8558 8712 8811 8947 9108 9336 9680 9790 10120 10235 10680 10769 10890 11040 11132 11385 11616 11670 11748 12144 12282 12448 12816 12837 13915 14004 14240 14520 14685 15180 15560 15664 15840 16020 16376 16560 16698 17116 17424 17505 17622 17894 18216 18423 18672 19360 19580 20240 20470 21360 21395 21538 21780 22264 22517 22770 23340 23496 24288 24564 25047 25632 25674 26841 27830 28008 29040 29370 30360 30705 31120 31328 32040 32307 32752 33120 33396 34232 34621 34848 35010 35244 35788 36432 36846 37344 38511 39160 40480 40940 41745 42720 42790 43076 43560 44055 44528 44735 45034 45540 46680 46992 47069 49128 50094 51348 53682 53845 55660 56016 58080 58740 60720 61410 62240 64080 64185 64614 65504 66792 67551 68464 69242 70020 70488 71576 72864 73692 77022 78320 80523 81880 83490 85580 86152 87120 88110 89056 89470 90068 91080 92115 93360 93984 94138 96921 98256 98417 100188 102696 103863 107364 107690 111320 112032 112585 117480 121440 122820 125235 128160 128370 129228 133584 134205 135102 136928 138484 140040 140976 141207 143152 147384 154044 156640 161046 161535 163760 166980 171160 172304 173105 174240 176220 178940 180136 182160 184230 186720 188276 192555 193842 196512 196834 200376 202653 205392 207726 214728 215380 222640 225170 234960 235345 245640 247687 250470 256740 258456 267168 268410 270204 276968 280080 281952 282414 286304 294768 295251 308088 311589 322092 323070 327520 333960 337755 342320 344608 346210 352440 357880 360272 364320 368460 376552 380831 385110 387684 393668 400752 402615 405306 410784 415452 423621 429456 430760 445280 450340 469920 470690 484605 491280 492085 495374 500940 513480 516912 519315 536820 540408 553936 560160 564828 589536 590502 616176 623178 644184 646140 667920 675510 684640 692420 704880 706035 715760 720544 736920 743061 753104 761662 770220 775368 787336 796283 801504 805230 810612 830904 847242 858912 861520 885753 900680 941380 969210 982560 984170 990748 1001880 1013265 1026960 1033824 1038630 1073640 1080816 1082587 1107872 1129656 1142493 1181004 1232352 1238435 1246356 1288368 1292280 1335840 1351020 1384840 1409760 1412070 1431520 1473840 1476255 1486122 1506208 1523324 1540440 1550736 1557945 1574672 1592566 1610460 1621224 1661808 1694484 1723040 1771506 1801360 1882760 1904155 1938420 1968340 1981496 2003760 2026530 2053920 2077260 2118105 2147280 2161632 2165174 2229183 2259312 2284986 2362008 2388849 2476870 2492712 2576736 2584560 2702040 2769680 2824140 2947680 2952510 2972244 3046648 3080880 3101472 3115890 3149344 3185132 3220920 3242448 3247761 3323616 3388968 3427479 3543012 3602720 3715305 3765520 3808310 3876840 3936680 3962992 3981415 4007520 4053060 4154520 4189141 4236210 4294560 4330348 4428765 4458366 4518624 4569972 4724016 4777698 4953740 4985424 5169120 5404080 5412935 5539360 5648280 5712465 5905020 5944488 6093296 6161760 6231780 6370264 6441840 6484896 6495522 6777936 6854958 7086024 7166547 7430610 7531040 7616620 7753680 7873360 7925984 7962830 8106120 8309040 8378282 8472420 8660696 8759113 8857530 8916732 9139944 9448032 9555396 9743283 9907480 9970848 10808160 10825870 11145915 11296560 11424930 11810040 11888976 11944245 12186592 12463560 12567423 12740528 12883680 12991044 13555872 13709916 14172048 14333094 14861220 15233240 15507360 15746720 15925660 16212240 16238805 16618080 16756564 16944840 17137395 17321392 17518226 17715060 17833464 18279888 19110792 19486566 19814960 20945705 21651740 22291830 22593120 22849860 23620080 23777952 23888490 24927120 25134846 25481056 25982088 26277339 27419832 28344096 28666188 29722440 30466480 31851320 32424480 32477610 33513128 33889680 34274790 34642784 35036452 35430120 35666928 35832735 36559776 37702269 38221584 38973132 39629920 41891410 43303480 43795565 44583660 45699720 47240160 47776980 48716415 49854240 50269692 51964176 52554678 54839664 57332376 59444880 60932960 62837115 63702640 64955220 67026256 67779360 68549580 70072904 70860240 71333856 71665470 75404538 76443168 77946264 78832017 83782820 86606960 87591130 89167320 91399440 95553960 96350243 97432830 100539384 103928352 105109356 109679328 114664752 118889760 125674230 127405280 129910440 131386695 134052512 137099160 140145808 141720480 143330940 150809076 155892528 157664034 167565640 173213920 175182260 178334640 182798880 188511345 191107920 192700486 194865660 201078768 210218712 229329504 251348460 259820880 262773390 274198320 280291616 286661880 289050729 301618152 311785056 315328068 335131280 350364520 356669280 377022690 382215840 385400972 389731320 394160085 402157536 420437424 481751215 502696920 519641760 525546780 548396640 573323760 578101458 603236304 630656136 670262560 700729040 754045380 770801944 779462640 788320170 840874848 867152187 963502430 1005393840 1051093560 1146647520 1156202916 1206472608 1261312272 1401458080 1445253645 1508090760 1541603888 1558925280 1576640340 1734304374 1927004860 2010787680 2102187120 2312405832 2522624544 2890507290 3016181520 3083207776 3153280680 3468608748 3854009720 4204374240 4335760935 4624811664 5781014580 6032363040 6306561360 6937217496 7708019440 8671521870 9249623328 11562029160 12613122720 13874434992 15416038880 17343043740 23124058320 27748869984 34686087480 46248116640 69372174960 138744349920
- Sum of all divisors σ(n): 550560628800
- Sum of proper divisors (its aliquot sum) s(n): 411816278880
- 138744349920 is an abundant number, because the sum of its proper divisors (411816278880) is greater than itself. Its abundance is 273071928960
Bases of 138744349920
- Binary: 100000010011011100111011000100111000002
- Hexadecimal: 0x204DCEC4E0
- Base-36: 1RQKSXK0
Squares and roots of 138744349920
- 138744349920 squared (1387443499202) is 19249994634723404006400
- 138744349920 cubed (1387443499203) is 2670827991558186547877491519488000
-
The
square root of 138744349920 is 372484.0263957637 -
The
cube root of 138744349920 is 5176.9237549839
Scales and comparisons
How big is 138744349920?- 138,744,349,920 seconds is equal to 4,411 years, 33 weeks, 2 days, 9 hours, 12 minutes.
-
To count from 1 to 138,744,349,920 would take you about eight thousand, eight hundred twenty-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 138744349920 cubic inches would be around 431.4 feet tall.
Recreational maths with 138744349920
- 138744349920 backwards is 029943447831
- The number of decimal digits it has is: 12
- The sum of 138744349920's digits is 54
- More coming soon!
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