138895328000
138,895,328,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138895328000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 576 divisors.
138895328000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 138895328000:
28 × 53 × 11 × 13 × 127 × 239
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 13 × 127 × 239)See below for interesting mathematical facts about the number 138895328000 from the Numbermatics database.
Names of 138895328000
- Cardinal: 138895328000 can be written as One hundred thirty-eight billion, eight hundred ninety-five million, three hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.38895328 × 1011
Factors of 138895328000
Divisors of 138895328000
- Number of divisors d(n): 576
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Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 25 26 32 40 44 50 52 55 64 65 80 88 100 104 110 125 127 128 130 143 160 176 200 208 220 239 250 254 256 260 275 286 320 325 352 400 416 440 478 500 508 520 550 572 635 640 650 704 715 800 832 880 956 1000 1016 1040 1100 1144 1195 1270 1280 1300 1375 1397 1408 1430 1600 1625 1651 1664 1760 1912 2000 2032 2080 2200 2288 2390 2540 2600 2629 2750 2794 2816 2860 3107 3175 3200 3250 3302 3328 3520 3575 3824 4000 4064 4160 4400 4576 4780 5080 5200 5258 5500 5588 5720 5975 6214 6350 6400 6500 6604 6985 7040 7150 7648 8000 8128 8255 8320 8800 9152 9560 10160 10400 10516 11000 11176 11440 11950 12428 12700 13000 13145 13208 13970 14080 14300 15296 15535 15875 16000 16256 16510 16640 17600 17875 18161 18304 19120 20320 20800 21032 22000 22352 22880 23900 24856 25400 26000 26290 26416 27940 28600 29875 30353 30592 31070 31750 32000 32512 33020 34177 34925 35200 35750 36322 36608 38240 40640 41275 41600 42064 44000 44704 45760 47800 49712 50800 52000 52580 52832 55880 57200 59750 60706 61184 62140 63500 65725 66040 68354 69850 70400 71500 72644 76480 77675 81280 82550 83200 84128 88000 89408 90805 91520 95600 99424 101600 104000 105160 105664 111760 114400 119500 121412 124280 127000 131450 132080 136708 139700 143000 145288 151765 152960 155350 162560 165100 168256 170885 174625 176000 178816 181610 183040 191200 198848 203200 206375 208000 210320 211328 223520 228800 239000 242824 248560 254000 262900 264160 273416 279400 286000 290576 303530 305920 310700 328625 330200 333883 336512 341770 349250 352000 357632 363220 382400 388375 394589 397696 406400 412750 416000 420640 422656 447040 454025 457600 478000 485648 497120 508000 525800 528320 546832 558800 572000 581152 607060 621400 657250 660400 667766 673024 683540 698500 726440 758825 764800 776750 789178 795392 812800 825500 841280 854425 894080 908050 915200 956000 971296 994240 1016000 1051600 1056640 1093664 1117600 1144000 1162304 1214120 1242800 1314500 1320800 1335532 1367080 1397000 1452880 1517650 1529600 1553500 1578356 1651000 1669415 1682560 1708850 1788160 1816100 1912000 1942592 1972945 1988480 2032000 2103200 2113280 2187328 2235200 2270125 2288000 2324608 2428240 2485600 2629000 2641600 2671064 2734160 2794000 2905760 3035300 3107000 3156712 3302000 3338830 3365120 3417700 3632200 3794125 3824000 3885184 3945890 3976960 4064000 4206400 4272125 4340479 4374656 4470400 4540250 4576000 4649216 4856480 4971200 5258000 5283200 5342128 5468320 5588000 5811520 6070600 6214000 6313424 6604000 6677660 6835400 7264400 7588250 7648000 7770368 7891780 8347075 8412800 8544250 8680958 8749312 8940800 9080500 9712960 9864725 9942400 10516000 10566400 10684256 10936640 11176000 11623040 12141200 12428000 12626848 13208000 13355320 13670800 14528800 15176500 15783560 16694150 16825600 17088500 17361916 18161000 19425920 19729450 19884800 21032000 21368512 21702395 21873280 22352000 23246080 24282400 24856000 25253696 26416000 26710640 27341600 29057600 30353000 31567120 33388300 34177000 34723832 36322000 38851840 39458900 41735375 42064000 42737024 43404790 43746560 44704000 48564800 49323625 49712000 50507392 52832000 53421280 54683200 58115200 60706000 63134240 66776600 68354000 69447664 72644000 78917800 83470750 84128000 85474048 86809580 97129600 98647250 99424000 101014784 106842560 108511975 109366400 116230400 121412000 126268480 133553200 136708000 138895328 145288000 157835600 166941500 173619160 194259200 197294500 213685120 217023950 218732800 242824000 252536960 267106400 273416000 277790656 290576000 315671200 333883000 347238320 394589000 427370240 434047900 485648000 505073920 534212800 542559875 546832000 555581312 581152000 631342400 667766000 694476640 789178000 868095800 971296000 1068425600 1085119750 1093664000 1111162624 1262684800 1335532000 1388953280 1578356000 1736191600 2136851200 2170239500 2525369600 2671064000 2777906560 3156712000 3472383200 4340479000 5342128000 5555813120 6313424000 6944766400 8680958000 10684256000 12626848000 13889532800 17361916000 27779065600 34723832000 69447664000 138895328000
- Sum of all divisors σ(n): 411411087360
- Sum of proper divisors (its aliquot sum) s(n): 272515759360
- 138895328000 is an abundant number, because the sum of its proper divisors (272515759360) is greater than itself. Its abundance is 133620431360
Bases of 138895328000
- Binary: 100000010101101100111010000011000000002
- Hexadecimal: 0x2056CE8300
- Base-36: 1RT2OWZK
Squares and roots of 138895328000
- 138895328000 squared (1388953280002) is 19291912140227584000000
- 138895328000 cubed (1388953280003) is 2679556464464092274327552000000000
-
The
square root of 138895328000 is 372686.6351239335 -
The
cube root of 138895328000 is 5178.8008732811
Scales and comparisons
How big is 138895328000?- 138,895,328,000 seconds is equal to 4,416 years, 22 weeks, 6 days, 19 hours, 33 minutes, 20 seconds.
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To count from 1 to 138,895,328,000 would take you about eight thousand, eight hundred thirty-two 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 138895328000 cubic inches would be around 431.6 feet tall.
Recreational maths with 138895328000
- 138895328000 backwards is 000823598831
- The number of decimal digits it has is: 12
- The sum of 138895328000's digits is 47
- More coming soon!
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