138420100
138,420,100 is an even composite number composed of six prime numbers multiplied together.
138420100 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 138420100:
22 × 52 × 72 × 13 × 41 × 53
(2 × 2 × 5 × 5 × 7 × 7 × 13 × 41 × 53)See below for interesting mathematical facts about the number 138420100 from the Numbermatics database.
Names of 138420100
- Cardinal: 138420100 can be written as One hundred thirty-eight million, four hundred twenty thousand, one hundred.
Scientific notation
- Scientific notation: 1.384201 × 108
Factors of 138420100
Divisors of 138420100
- Number of divisors d(n): 216
-
Complete list of divisors:
1 2 4 5 7 10 13 14 20 25 26 28 35 41 49 50 52 53 65 70 82 91 98 100 106 130 140 164 175 182 196 205 212 245 260 265 287 325 350 364 371 410 455 490 530 533 574 637 650 689 700 742 820 910 980 1025 1060 1066 1148 1225 1274 1300 1325 1378 1435 1484 1820 1855 2009 2050 2132 2173 2275 2450 2548 2597 2650 2665 2756 2870 3185 3445 3710 3731 4018 4100 4346 4550 4823 4900 5194 5300 5330 5740 6370 6890 7175 7420 7462 8036 8692 9100 9275 9646 10045 10388 10660 10865 12740 12985 13325 13780 14350 14924 15211 15925 17225 18550 18655 19292 20090 21730 24115 25970 26117 26650 28249 28700 30422 31850 33761 34450 37100 37310 40180 43460 48230 50225 51940 52234 53300 54325 56498 60844 63700 64925 67522 68900 74620 76055 93275 96460 100450 104468 106477 108650 112996 120575 129850 130585 135044 141245 152110 168805 186550 197743 200900 212954 217300 241150 259700 261170 282490 304220 337610 373100 380275 395486 425908 482300 522340 532385 564980 652925 675220 706225 760550 790972 844025 988715 1064770 1305850 1384201 1412450 1521100 1688050 1977430 2129540 2611700 2661925 2768402 2824900 3376100 3954860 4943575 5323850 5536804 6921005 9887150 10647700 13842010 19774300 27684020 34605025 69210050 138420100
- Sum of all divisors σ(n): 392740488
- Sum of proper divisors (its aliquot sum) s(n): 254320388
- 138420100 is an abundant number, because the sum of its proper divisors (254320388) is greater than itself. Its abundance is 115900288
Bases of 138420100
- Binary: 10000100000000011111100001002
- Hexadecimal: 0x8401F84
- Base-36: 2AETMS
Squares and roots of 138420100
- 138420100 squared (1384201002) is 19160124084010000
- 138420100 cubed (1384201003) is 2652146291721072601000000
-
The
square root of 138420100 is 11765.2071804961 -
The
cube root of 138420100 is 517.2887731235
Scales and comparisons
How big is 138420100?- 138,420,100 seconds is equal to 4 years, 20 weeks, 6 days, 2 hours, 1 minute, 40 seconds.
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To count from 1 to 138,420,100 would take you about 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 138420100 cubic inches would be around 43.1 feet tall.
Recreational maths with 138420100
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