138283504800
138,283,504,800 is an even composite number composed of six prime numbers multiplied together.
138283504800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 138283504800:
25 × 3 × 52 × 7 × 192 × 1512
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 19 × 19 × 151 × 151)See below for interesting mathematical facts about the number 138283504800 from the Numbermatics database.
Names of 138283504800
- Cardinal: 138283504800 can be written as One hundred thirty-eight billion, two hundred eighty-three million, five hundred four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.382835048 × 1011
Factors of 138283504800
Divisors of 138283504800
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 25 28 30 32 35 38 40 42 48 50 56 57 60 70 75 76 80 84 95 96 100 105 112 114 120 133 140 150 151 152 160 168 175 190 200 210 224 228 240 266 280 285 300 302 304 336 350 361 380 399 400 420 453 456 475 480 525 532 560 570 600 604 608 665 672 700 722 755 760 798 800 840 906 912 950 1050 1057 1064 1083 1120 1140 1200 1208 1330 1400 1425 1444 1510 1520 1596 1680 1805 1812 1824 1900 1995 2100 2114 2128 2166 2265 2280 2400 2416 2527 2660 2800 2850 2869 2888 3020 3040 3171 3192 3325 3360 3610 3624 3775 3800 3990 4200 4228 4256 4332 4530 4560 4832 5054 5285 5320 5415 5600 5700 5738 5776 6040 6342 6384 6650 7220 7248 7550 7581 7600 7980 8400 8456 8607 8664 9025 9060 9120 9975 10108 10570 10640 10830 11325 11400 11476 11552 12080 12635 12684 12768 13300 14345 14440 14496 15100 15162 15200 15855 15960 16800 16912 17214 17328 18050 18120 19950 20083 20216 21140 21280 21660 22650 22800 22801 22952 24160 25270 25368 26425 26600 27075 28690 28880 30200 30324 31710 31920 33824 34428 34656 36100 36240 37905 39900 40166 40432 42280 43035 43320 45300 45600 45602 45904 50540 50736 52850 53200 54150 54511 57380 57760 60249 60400 60648 63175 63420 63840 68403 68856 71725 72200 72480 75810 79275 79800 80332 80864 84560 86070 86640 90600 91204 91808 100415 101080 101472 105700 106400 108300 109022 114005 114760 120498 120800 121296 126350 126840 136806 137712 143450 144400 151620 158550 159600 159607 160664 163533 169120 172140 173280 181200 182408 189525 200830 202160 211400 215175 216600 218044 228010 229520 240996 242592 252700 253680 272555 273612 275424 286900 288800 301245 303240 317100 319200 319214 321328 327066 342015 344280 362400 364816 379050 381577 401660 404320 422800 430350 433200 433219 436088 456020 459040 478821 481992 502075 505400 507360 545110 547224 570025 573800 602490 606480 634200 638428 642656 654132 684030 688560 729632 758100 763154 798035 803320 817665 845600 860700 866400 866438 872176 912040 957642 963984 1004150 1010800 1090220 1094448 1140050 1144731 1147600 1204980 1212960 1268400 1276856 1299657 1308264 1362775 1368060 1377120 1506225 1516200 1526308 1596070 1606640 1635330 1710075 1721400 1732876 1744352 1824080 1907885 1915284 1927968 2008300 2021600 2166095 2180440 2188896 2280100 2289462 2295200 2394105 2409960 2536800 2553712 2599314 2616528 2725550 2736120 3012450 3032400 3032533 3052616 3192140 3213280 3270660 3420150 3442800 3465752 3648160 3815770 3830568 3990175 4016600 4088325 4332190 4360880 4560200 4578924 4788210 4819920 5107424 5198628 5233056 5451100 5472240 5723655 6024900 6064800 6065066 6105232 6384280 6498285 6541320 6840300 6885600 6931504 7631540 7661136 7980350 8033200 8176650 8231161 8664380 8721760 9097599 9120400 9157848 9539425 9576420 9639840 10397256 10830475 10902200 10944480 11447310 11970525 12049800 12130132 12210464 12768560 12996570 13082640 13680600 13863008 15162665 15263080 15322272 15960700 16066400 16353300 16462322 17328760 18195198 18240800 18315696 19078850 19152840 20794512 21660950 21804400 22894620 23941050 24099600 24260264 24693483 25537120 25993140 26165280 27361200 28618275 30325330 30526160 31921400 32491425 32706600 32924644 34657520 36390396 36631392 38157700 38305680 41155805 41589024 43321900 43608800 45487995 45789240 47882100 48199200 48520528 49386966 51986280 54722400 57236550 57618127 60650660 61052320 63842800 64982850 65413200 65849288 69315040 72780792 75813325 76315400 76611360 82311610 86643800 90975990 91578480 95764200 97041056 98773932 103972560 114473100 115236254 121301320 123467415 127685600 129965700 130826400 131698576 145561584 151626650 152630800 164623220 172854381 173287600 181951980 183156960 191528400 197547864 205779025 207945120 227439975 228946200 230472508 242602640 246934830 259931400 263397152 288090635 291123168 303253300 305261600 329246440 345708762 346575200 363903960 383056800 395095728 411558050 454879950 457892400 460945016 485205280 493869660 519862800 576181270 606506600 617337075 658492880 691417524 727807920 790191456 823116100 864271905 909759900 915784800 921890032 987739320 1039725600 1152362540 1213013200 1234674150 1316985760 1382835048 1440453175 1455615840 1646232200 1728543810 1819519800 1843780064 1975478640 2304725080 2426026400 2469348300 2765670096 2880906350 3292464400 3457087620 3639039600 3950957280 4321359525 4609450160 4938696600 5531340192 5761812700 6584928800 6914175240 7278079200 8642719050 9218900320 9877393200 11523625400 13828350480 17285438100 19754786400 23047250800 27656700960 34570876200 46094501600 69141752400 138283504800
- Sum of all divisors σ(n): 546533332128
- Sum of proper divisors (its aliquot sum) s(n): 408249827328
- 138283504800 is an abundant number, because the sum of its proper divisors (408249827328) is greater than itself. Its abundance is 269966322528
Bases of 138283504800
- Binary: 100000001100100101011011010100101000002
- Hexadecimal: 0x203256D4A0
- Base-36: 1RIYFF6O
Squares and roots of 138283504800
- 138283504800 squared (1382835048002) is 19122327699771623040000
- 138283504800 cubed (1382835048003) is 2644302494258542193555630592000000
-
The
square root of 138283504800 is 371864.9012746431 -
The
cube root of 138283504800 is 5171.1856080427
Scales and comparisons
How big is 138283504800?- 138,283,504,800 seconds is equal to 4,396 years, 51 weeks, 2 days, 12 hours, 40 minutes.
-
To count from 1 to 138,283,504,800 would take you about eight thousand, seven hundred ninety-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 138283504800 cubic inches would be around 430.9 feet tall.
Recreational maths with 138283504800
- 138283504800 backwards is 008405382831
- 138283504800 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138283504800's digits is 42
- More coming soon!
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The information we have on file for 138283504800 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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