138240545625000
138,240,545,625,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138240545625000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
138240545625000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138240545625000:
23 × 32 × 57 × 72 × 13 × 41 × 941
(2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 13 × 41 × 941)See below for interesting mathematical facts about the number 138240545625000 from the Numbermatics database.
Names of 138240545625000
- Cardinal: 138240545625000 can be written as One hundred thirty-eight trillion, two hundred forty billion, five hundred forty-five million, six hundred twenty-five thousand.
Scientific notation
- Scientific notation: 1.38240545625 × 1014
Factors of 138240545625000
Divisors of 138240545625000
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 18 20 21 24 25 26 28 30 35 36 39 40 41 42 45 49 50 52 56 60 63 65 70 72 75 78 82 84 90 91 98 100 104 105 117 120 123 125 126 130 140 147 150 156 164 168 175 180 182 195 196 200 205 210 225 234 245 246 250 252 260 273 280 287 294 300 312 315 325 328 350 360 364 369 375 390 392 410 420 441 450 455 468 490 492 500 504 520 525 533 546 574 585 588 600 615 625 630 637 650 700 728 735 738 750 780 819 820 840 861 875 882 900 910 936 941 975 980 984 1000 1025 1050 1066 1092 1125 1148 1170 1176 1225 1230 1250 1260 1274 1300 1365 1400 1435 1470 1476 1500 1560 1575 1599 1625 1638 1640 1722 1750 1764 1800 1820 1845 1875 1882 1911 1950 1960 2009 2050 2100 2132 2184 2205 2250 2275 2296 2340 2450 2460 2500 2520 2548 2583 2600 2625 2665 2730 2823 2870 2925 2940 2952 3000 3075 3125 3150 3185 3198 3250 3276 3444 3500 3528 3640 3675 3690 3731 3750 3764 3822 3900 4018 4095 4100 4200 4264 4305 4375 4410 4500 4550 4680 4705 4797 4875 4900 4920 5000 5096 5125 5166 5250 5330 5460 5625 5646 5733 5740 5850 5880 6027 6125 6150 6250 6300 6370 6396 6500 6552 6587 6825 6888 7000 7175 7350 7380 7462 7500 7528 7644 7800 7875 7995 8036 8125 8190 8200 8469 8610 8750 8820 9000 9100 9225 9375 9410 9555 9594 9750 9800 10045 10250 10332 10500 10660 10920 11025 11193 11250 11292 11375 11466 11480 11700 12054 12233 12250 12300 12500 12600 12740 12792 12915 13000 13125 13174 13325 13650 14115 14350 14625 14700 14760 14924 15000 15288 15375 15625 15750 15925 15990 16072 16250 16380 16938 17220 17500 17640 18081 18200 18375 18450 18655 18750 18820 19110 19188 19500 19761 20090 20475 20500 20664 21000 21320 21525 21875 22050 22386 22500 22584 22750 22932 23400 23525 23985 24108 24375 24466 24500 24600 25000 25480 25625 25830 26117 26250 26348 26650 27300 28125 28230 28665 28700 29250 29400 29848 30135 30625 30750 31250 31500 31850 31980 32500 32760 32935 33579 33876 34125 34440 35000 35875 36162 36699 36750 36900 37310 37500 37640 38220 38376 38581 39000 39375 39522 39975 40180 40625 40950 41000 42345 43050 43750 44100 44772 45000 45500 45864 46109 46125 46875 47050 47775 47970 48216 48750 48932 49000 50225 51250 51660 52234 52500 52696 53300 54600 55125 55965 56250 56460 56875 57330 57400 58500 59283 60270 61165 61250 61500 62500 63000 63700 63960 64575 65000 65625 65870 66625 67158 67752 68250 70575 71750 72324 73125 73398 73500 73800 74620 75000 76440 76875 77162 78125 78351 78750 79044 79625 79950 80360 81250 81900 84690 85631 86100 87500 88200 89544 90405 91000 91875 92218 92250 93275 93750 94100 95550 95940 97500 97864 98805 100450 102375 102500 103320 104468 105000 106600 107625 109375 110097 110250 111930 112500 112920 113750 114660 115743 117000 117625 118566 119925 120540 121875 122330 122500 123000 125000 127400 128125 129150 130585 131250 131740 133250 134316 136500 138327 140625 141150 143325 143500 144648 146250 146796 147000 149240 150675 153125 153750 154324 156250 156702 157500 158088 159250 159900 162500 163800 164675 167895 169380 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987432468750 1063388812500 1097147187500 1105924365000 1123906875000 1152004546875 1181543125000 1316576625000 1329236015625 1382405456250 1410617812500 1519126875000 1536006062500 1645720781250 1685860312500 1772314687500 1843207275000 1920007578125 1974864937500 2126777625000 2194294375000 2304009093750 2468581171875 2658472031250 2764810912500 2821235625000 3072012125000 3291441562500 3371720625000 3456013640625 3544629375000 3840015156250 3949729875000 4608018187500 4937162343750 5316944062500 5529621825000 5760022734375 6582883125000 6912027281250 7680030312500 9216036375000 9874324687500 10633888125000 11520045468750 13824054562500 15360060625000 17280068203125 19748649375000 23040090937500 27648109125000 34560136406250 46080181875000 69120272812500 138240545625000
- Sum of all divisors σ(n): 601224441330240
- Sum of proper divisors (its aliquot sum) s(n): 462983895705240
- 138240545625000 is an abundant number, because the sum of its proper divisors (462983895705240) is greater than itself. Its abundance is 324743350080240
Bases of 138240545625000
- Binary: 111110110111010101000101001110110010011101010002
- Hexadecimal: 0x7DBAA29D93A8
- Base-36: 1D02TVLLM0
Squares and roots of 138240545625000
- 138240545625000 squared (1382405456250002) is 19110448454697706640625000000
- 138240545625000 cubed (1382405456250003) is 2641838821515849060436185791015625000000000
-
The
square root of 138240545625000 is 11757573.9685106809 -
The
cube root of 138240545625000 is 51706.5005880731
Scales and comparisons
How big is 138240545625000?- 138,240,545,625,000 seconds is equal to 4,395,621 years, 38 weeks, 5 days, 2 hours, 30 minutes.
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To count from 1 to 138,240,545,625,000 would take you about ten million, nine hundred eighty-nine thousand and fifty-four 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 138240545625000 cubic inches would be around 4308.9 feet tall.
Recreational maths with 138240545625000
- 138240545625000 backwards is 000526545042831
- 138240545625000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138240545625000's digits is 45
- More coming soon!
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The information we have on file for 138240545625000 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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