138437959680
138,437,959,680 is an even composite number composed of five prime numbers multiplied together.
138437959680 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 138437959680:
213 × 33 × 5 × 151 × 829
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 151 × 829)See below for interesting mathematical facts about the number 138437959680 from the Numbermatics database.
Names of 138437959680
- Cardinal: 138437959680 can be written as One hundred thirty-eight billion, four hundred thirty-seven million, nine hundred fifty-nine thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3843795968 × 1011
Factors of 138437959680
Divisors of 138437959680
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 151 160 180 192 216 240 256 270 288 302 320 360 384 432 453 480 512 540 576 604 640 720 755 768 829 864 906 960 1024 1080 1152 1208 1280 1359 1440 1510 1536 1658 1728 1812 1920 2048 2160 2265 2304 2416 2487 2560 2718 2880 3020 3072 3316 3456 3624 3840 4077 4096 4145 4320 4530 4608 4832 4974 5120 5436 5760 6040 6144 6632 6795 6912 7248 7461 7680 8154 8192 8290 8640 9060 9216 9664 9948 10240 10872 11520 12080 12288 12435 13264 13590 13824 14496 14922 15360 16308 16580 17280 18120 18432 19328 19896 20385 20480 21744 22383 23040 24160 24576 24870 26528 27180 27648 28992 29844 30720 32616 33160 34560 36240 36864 37305 38656 39792 40770 40960 43488 44766 46080 48320 49740 53056 54360 55296 57984 59688 61440 65232 66320 69120 72480 73728 74610 77312 79584 81540 86976 89532 92160 96640 99480 106112 108720 110592 111915 115968 119376 122880 125179 130464 132640 138240 144960 149220 154624 159168 163080 173952 179064 184320 193280 198960 212224 217440 221184 223830 231936 238752 250358 260928 265280 276480 289920 298440 309248 318336 326160 347904 358128 368640 375537 386560 397920 424448 434880 447660 463872 477504 500716 521856 530560 552960 579840 596880 618496 625895 636672 652320 695808 716256 751074 773120 795840 848896 869760 895320 927744 955008 1001432 1043712 1061120 1105920 1126611 1159680 1193760 1236992 1251790 1273344 1304640 1391616 1432512 1502148 1546240 1591680 1697792 1739520 1790640 1855488 1877685 1910016 2002864 2087424 2122240 2253222 2319360 2387520 2503580 2546688 2609280 2783232 2865024 3004296 3092480 3183360 3379833 3395584 3479040 3581280 3710976 3755370 3820032 4005728 4174848 4244480 4506444 4638720 4775040 5007160 5093376 5218560 5566464 5633055 5730048 6008592 6184960 6366720 6759666 6791168 6958080 7162560 7510740 7640064 8011456 8349696 8488960 9012888 9277440 9550080 10014320 10186752 10437120 11132928 11266110 11460096 12017184 12733440 13519332 13916160 14325120 15021480 15280128 16022912 16699392 16899165 16977920 18025776 18554880 19100160 20028640 20373504 20874240 22532220 22920192 24034368 25466880 27038664 27832320 28650240 30042960 30560256 32045824 33398784 33798330 33955840 36051552 38200320 40057280 41748480 45064440 45840384 48068736 50933760 54077328 55664640 57300480 60085920 61120512 64091648 67596660 72103104 76400640 80114560 83496960 90128880 91680768 96137472 101867520 108154656 114600960 120171840 128183296 135193320 144206208 152801280 160229120 166993920 180257760 183361536 192274944 216309312 229201920 240343680 256366592 270386640 288412416 305602560 320458240 360515520 384549888 432618624 458403840 480687360 512733184 540773280 576824832 640916480 721031040 769099776 865237248 916807680 961374720 1025466368 1081546560 1153649664 1281832960 1442062080 1538199552 1730474496 1922749440 2163093120 2307299328 2563665920 2884124160 3076399104 3460948992 3845498880 4326186240 4614598656 5127331840 5768248320 6921897984 7690997760 8652372480 9229197312 11536496640 13843795968 15381995520 17304744960 23072993280 27687591936 34609489920 46145986560 69218979840 138437959680
- Sum of all divisors σ(n): 496051027200
- Sum of proper divisors (its aliquot sum) s(n): 357613067520
- 138437959680 is an abundant number, because the sum of its proper divisors (357613067520) is greater than itself. Its abundance is 219175107840
Bases of 138437959680
- Binary: 100000001110111000101110100000000000002
- Hexadecimal: 0x203B8BA000
- Base-36: 1RLIDXC0
Squares and roots of 138437959680
- 138437959680 squared (1384379596802) is 19165068680361305702400
- 138437959680 cubed (1384379596803) is 2653173005236289246661005279232000
-
The
square root of 138437959680 is 372072.5193829827 -
The
cube root of 138437959680 is 5173.1101992777
Scales and comparisons
How big is 138437959680?- 138,437,959,680 seconds is equal to 4,401 years, 46 weeks, 5 days, 4 hours, 48 minutes.
-
To count from 1 to 138,437,959,680 would take you about eight thousand, eight hundred 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 138437959680 cubic inches would be around 431.1 feet tall.
Recreational maths with 138437959680
- 138437959680 backwards is 086959734831
- The number of decimal digits it has is: 12
- The sum of 138437959680's digits is 63
- More coming soon!
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