103813120
103,813,120 is an even composite number composed of four prime numbers multiplied together.
103813120 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred four divisors.
Prime factorization of 103813120:
212 × 5 × 37 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 37 × 137)See below for interesting mathematical facts about the number 103813120 from the Numbermatics database.
Names of 103813120
- Cardinal: 103813120 can be written as One hundred three million, eight hundred thirteen thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.0381312 × 108
Factors of 103813120
Divisors of 103813120
- Number of divisors d(n): 104
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Complete list of divisors:
1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 137 148 160 185 256 274 296 320 370 512 548 592 640 685 740 1024 1096 1184 1280 1370 1480 2048 2192 2368 2560 2740 2960 4096 4384 4736 5069 5120 5480 5920 8768 9472 10138 10240 10960 11840 17536 18944 20276 20480 21920 23680 25345 35072 37888 40552 43840 47360 50690 70144 75776 81104 87680 94720 101380 140288 151552 162208 175360 189440 202760 280576 324416 350720 378880 405520 561152 648832 701440 757760 811040 1297664 1402880 1622080 2595328 2805760 3244160 5190656 6488320 10381312 12976640 20762624 25953280 51906560 103813120
- Sum of all divisors σ(n): 257721624
- Sum of proper divisors (its aliquot sum) s(n): 153908504
- 103813120 is an abundant number, because the sum of its proper divisors (153908504) is greater than itself. Its abundance is 50095384
Bases of 103813120
- Binary: 1100011000000010000000000002
- Hexadecimal: 0x6301000
- Base-36: 1PT2PS
Squares and roots of 103813120
- 103813120 squared (1038131202) is 10777163884134400
- 103813120 cubed (1038131203) is 1118811007563310563328000
-
The
square root of 103813120 is 10188.8723615519 -
The
cube root of 103813120 is 469.9850908203
Scales and comparisons
How big is 103813120?- 103,813,120 seconds is equal to 3 years, 15 weeks, 4 days, 12 hours, 58 minutes, 40 seconds.
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To count from 1 to 103,813,120 would take you about 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 103813120 cubic inches would be around 39.2 feet tall.
Recreational maths with 103813120
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