138168377200
138,168,377,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138168377200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 720 divisors.
138168377200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 138168377200:
24 × 52 × 72 × 17 × 29 × 79 × 181
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 17 × 29 × 79 × 181)See below for interesting mathematical facts about the number 138168377200 from the Numbermatics database.
Names of 138168377200
- Cardinal: 138168377200 can be written as One hundred thirty-eight billion, one hundred sixty-eight million, three hundred seventy-seven thousand, two hundred.
Scientific notation
- Scientific notation: 1.381683772 × 1011
Factors of 138168377200
Divisors of 138168377200
- Number of divisors d(n): 720
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 29 34 35 40 49 50 56 58 68 70 79 80 85 98 100 112 116 119 136 140 145 158 170 175 181 196 200 203 232 238 245 272 280 290 316 340 350 362 392 395 400 406 425 464 476 490 493 553 560 580 595 632 680 700 724 725 784 790 812 833 850 905 952 980 986 1015 1106 1160 1190 1225 1264 1267 1343 1360 1400 1421 1448 1450 1580 1624 1666 1700 1810 1904 1960 1972 1975 2030 2212 2291 2320 2380 2450 2465 2534 2686 2765 2800 2842 2896 2900 2975 3077 3160 3248 3332 3400 3451 3620 3871 3920 3944 3950 4060 4165 4424 4525 4582 4760 4900 4930 5068 5075 5249 5372 5530 5684 5800 5950 6154 6320 6335 6664 6715 6800 6902 7105 7240 7742 7888 7900 8120 8330 8848 8869 9050 9164 9401 9520 9800 9860 10136 10150 10498 10744 11060 11368 11455 11600 11900 12308 12325 12670 13328 13430 13804 13825 14210 14299 14480 15385 15484 15800 16037 16240 16660 17255 17738 18100 18328 18802 19355 19600 19720 20272 20300 20825 20996 21488 21539 22120 22736 22910 23800 24157 24616 24650 25340 26245 26860 27608 27650 28420 28598 30770 30968 31600 31675 32074 33320 33575 34510 35476 35525 36200 36656 36743 37604 38710 38947 39440 40600 41650 41992 43078 44240 44345 45820 47005 47600 48314 49232 49300 50680 52490 53720 55216 55300 56840 57196 57275 61540 61936 63350 64148 65807 66640 67150 69020 70952 71050 71495 72400 73486 75208 76925 77420 77894 80185 81200 83300 83984 86156 86275 88690 89233 91640 94010 96628 96775 98600 100093 101360 104980 107440 107695 110600 112259 113680 114392 114550 120785 123080 126700 128296 131225 131614 134300 138040 141904 142100 142990 146972 150416 150773 153850 154840 155788 160370 166600 172312 172550 177380 178466 183280 183715 188020 193256 193550 194735 197200 200186 209960 215390 221200 221725 224518 228784 229100 235025 241570 243083 246160 253400 256592 257201 262450 263228 268600 272629 276080 284200 285980 293944 301546 307700 309680 311576 320740 329035 333200 344624 345100 354760 356932 357475 367430 376040 386512 387100 389470 400372 400925 414671 419920 430780 443450 446165 449036 458200 470050 483140 486166 500465 506800 514402 524900 526456 537200 538475 545258 561295 568400 571960 587888 603092 603925 615400 623152 624631 641480 658070 690200 700651 709520 713864 714950 734860 752080 753865 774200 778940 800744 801850 829342 861560 886900 892330 898072 916400 918575 940100 966280 972332 973675 1000930 1028804 1049800 1052912 1076950 1090516 1122590 1143920 1206184 1207850 1215415 1230800 1249262 1282960 1286005 1316140 1363145 1380400 1401302 1427728 1429900 1469720 1507730 1548400 1557880 1601488 1603700 1645175 1658684 1701581 1723120 1773800 1784660 1796144 1837150 1880200 1908403 1932560 1944664 1947350 2001860 2057608 2073355 2099600 2153900 2181032 2230825 2245180 2412368 2415700 2430830 2498524 2502325 2572010 2632280 2726290 2802604 2806475 2859800 2902697 2939440 3015460 3115760 3123155 3207400 3290350 3317368 3403162 3503255 3547600 3569320 3674300 3760400 3769325 3816806 3889328 3894700 4003720 4115216 4146710 4307800 4362064 4372417 4461650 4490360 4831400 4861660 4997048 5004650 5144020 5264560 5452580 5605208 5612950 5719600 5805394 6030920 6077075 6246310 6414800 6430025 6580700 6634736 6806324 6815725 7006510 7049407 7138640 7348600 7538650 7633612 7789400 8007440 8293420 8507905 8615600 8744834 8923300 8980720 9542015 9662800 9723320 9994096 10009300 10288040 10366775 10905160 11210416 11225900 11610788 11911067 12061840 12154150 12492620 12860050 13161400 13612648 13631450 14013020 14098814 14513485 14697200 15077300 15267224 15578800 15615775 16586840 17015810 17489668 17516275 17846600 19084030 19446640 20018600 20318879 20576080 20733550 21810320 21862085 22451800 23221576 23822134 24308300 24985240 25720100 26322800 27225296 27262900 28026040 28197628 29026970 30154600 30534448 31231550 33173680 34031620 34979336 35032550 35247035 35693200 38168060 40037200 40637758 41467100 42539525 43724170 44903600 46443152 47644268 47710075 48616600 49345849 49970480 51440200 54525800 56052080 56395256 58053940 59555335 60309200 62463100 68063240 69958672 70065100 70494070 72567425 76336120 81275516 82934200 85079050 87448340 95288536 95420150 97233200 98691698 101594395 102880400 109051600 109310425 112790512 116107880 119110670 124926200 136126480 140130200 140988140 145134850 152672240 162551032 165868400 170158100 174896680 176235175 190577072 190840300 197383396 203188790 218620850 232215760 238221340 246729245 249852400 280260400 281976280 290269700 297776675 325102064 340316200 345420943 349793360 352470350 381680600 394766792 406377580 437241700 476442680 493458490 507971975 563952560 580539400 595553350 680632400 690841886 704940700 763361200 789533584 812755160 874483400 952885360 986916980 1015943950 1161078800 1191106700 1233646225 1381683772 1409881400 1625510320 1727104715 1748966800 1973833960 2031887900 2382213400 2467292450 2763367544 2819762800 3454209430 3947667920 4063775800 4764426800 4934584900 5526735088 6908418860 8127551600 8635523575 9869169800 13816837720 17271047150 19738339600 27633675440 34542094300 69084188600 138168377200
- Sum of all divisors σ(n): 430678684800
- Sum of proper divisors (its aliquot sum) s(n): 292510307600
- 138168377200 is an abundant number, because the sum of its proper divisors (292510307600) is greater than itself. Its abundance is 154341930400
Bases of 138168377200
- Binary: 100000001010110111101000011111011100002
- Hexadecimal: 0x202B7A1F70
- Base-36: 1RH1VU5S
Squares and roots of 138168377200
- 138168377200 squared (1381683772002) is 19090500458081479840000
- 138168377200 cubed (1381683772003) is 2637703468228974694867315648000000
-
The
square root of 138168377200 is 371710.0714266429 -
The
cube root of 138168377200 is 5169.7501235443
Scales and comparisons
How big is 138168377200?- 138,168,377,200 seconds is equal to 4,393 years, 17 weeks, 46 minutes, 40 seconds.
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To count from 1 to 138,168,377,200 would take you about eight thousand, seven hundred eighty-six 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 138168377200 cubic inches would be around 430.8 feet tall.
Recreational maths with 138168377200
- 138168377200 backwards is 002773861831
- The number of decimal digits it has is: 12
- The sum of 138168377200's digits is 46
- More coming soon!
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Numbermatics. (2024). Number 138168377200 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/138168377200/
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The information we have on file for 138168377200 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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