106401300
106,401,300 is an even composite number composed of six prime numbers multiplied together.
106401300 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 106401300:
22 × 3 × 52 × 17 × 31 × 673
(2 × 2 × 3 × 5 × 5 × 17 × 31 × 673)See below for interesting mathematical facts about the number 106401300 from the Numbermatics database.
Names of 106401300
- Cardinal: 106401300 can be written as One hundred six million, four hundred one thousand, three hundred.
Scientific notation
- Scientific notation: 1.064013 × 108
Factors of 106401300
Divisors of 106401300
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 10 12 15 17 20 25 30 31 34 50 51 60 62 68 75 85 93 100 102 124 150 155 170 186 204 255 300 310 340 372 425 465 510 527 620 673 775 850 930 1020 1054 1275 1346 1550 1581 1700 1860 2019 2108 2325 2550 2635 2692 3100 3162 3365 4038 4650 5100 5270 6324 6730 7905 8076 9300 10095 10540 11441 13175 13460 15810 16825 20190 20863 22882 26350 31620 33650 34323 39525 40380 41726 45764 50475 52700 57205 62589 67300 68646 79050 83452 100950 104315 114410 125178 137292 158100 171615 201900 208630 228820 250356 286025 312945 343230 354671 417260 521575 572050 625890 686460 709342 858075 1043150 1064013 1144100 1251780 1418684 1564725 1716150 1773355 2086300 2128026 3129450 3432300 3546710 4256052 5320065 6258900 7093420 8866775 10640130 17733550 21280260 26600325 35467100 53200650 106401300
- Sum of all divisors σ(n): 336978432
- Sum of proper divisors (its aliquot sum) s(n): 230577132
- 106401300 is an abundant number, because the sum of its proper divisors (230577132) is greater than itself. Its abundance is 124175832
Bases of 106401300
- Binary: 1100101011110001110000101002
- Hexadecimal: 0x6578E14
- Base-36: 1RCJRO
Squares and roots of 106401300
- 106401300 squared (1064013002) is 11321236641690000
- 106401300 cubed (1064013003) is 1204594296283450197000000
-
The
square root of 106401300 is 10315.1005811867 -
The
cube root of 106401300 is 473.8588302917
Scales and comparisons
How big is 106401300?- 106,401,300 seconds is equal to 3 years, 19 weeks, 6 days, 11 hours, 55 minutes.
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To count from 1 to 106,401,300 would take you about five 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 106401300 cubic inches would be around 39.5 feet tall.
Recreational maths with 106401300
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