990242100
990,242,100 is an even composite number composed of six prime numbers multiplied together.
990242100 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 990242100:
22 × 32 × 52 × 37 × 131 × 227
(2 × 2 × 3 × 3 × 5 × 5 × 37 × 131 × 227)See below for interesting mathematical facts about the number 990242100 from the Numbermatics database.
Names of 990242100
- Cardinal: 990242100 can be written as Nine hundred ninety million, two hundred forty-two thousand, one hundred.
Scientific notation
- Scientific notation: 9.902421 × 108
Factors of 990242100
Divisors of 990242100
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 131 148 150 180 185 222 225 227 262 300 333 370 393 444 450 454 524 555 655 666 681 740 786 900 908 925 1110 1135 1179 1310 1332 1362 1572 1665 1850 1965 2043 2220 2270 2358 2620 2724 2775 3275 3330 3405 3700 3930 4086 4540 4716 4847 5550 5675 5895 6550 6660 6810 7860 8172 8325 8399 9694 9825 10215 11100 11350 11790 13100 13620 14541 16650 16798 17025 19388 19650 20430 22700 23580 24235 25197 29082 29475 29737 33300 33596 34050 39300 40860 41995 43623 48470 50394 51075 58164 58950 59474 68100 72705 75591 83990 87246 89211 96940 100788 102150 117900 118948 121175 125985 145410 148685 151182 167980 174492 178422 204300 209975 218115 242350 251970 267633 290820 297370 302364 356844 363525 377955 419950 436230 446055 484700 503940 535266 594740 629925 727050 743425 755910 839900 872460 892110 1070532 1090575 1100269 1259850 1338165 1454100 1486850 1511820 1784220 1889775 2181150 2200538 2230275 2519700 2676330 2973700 3300807 3779550 4362300 4401076 4460550 5352660 5501345 6601614 6690825 7559100 8921100 9902421 11002690 13203228 13381650 16504035 19804842 22005380 26763300 27506725 33008070 39609684 49512105 55013450 66016140 82520175 99024210 110026900 165040350 198048420 247560525 330080700 495121050 990242100
- Sum of all divisors σ(n): 3226231008
- Sum of proper divisors (its aliquot sum) s(n): 2235988908
- 990242100 is an abundant number, because the sum of its proper divisors (2235988908) is greater than itself. Its abundance is 1245746808
Bases of 990242100
- Binary: 1110110000010111100101001101002
- Hexadecimal: 0x3B05E534
- Base-36: GDKBP0
Squares and roots of 990242100
- 990242100 squared (9902421002) is 980579416612410000
- 990242100 cubed (9902421003) is 971011020723047764461000000
-
The
square root of 990242100 is 31468.1124314757 -
The
cube root of 990242100 is 996.7367293145
Scales and comparisons
How big is 990242100?- 990,242,100 seconds is equal to 31 years, 25 weeks, 2 days, 3 hours, 15 minutes.
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To count from 1 to 990,242,100 would take you about forty-seven 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 990242100 cubic inches would be around 83.1 feet tall.
Recreational maths with 990242100
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