468104000
468,104,000 is an even composite number composed of five prime numbers multiplied together.
468104000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 468104000:
26 × 53 × 7 × 13 × 643
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 13 × 643)See below for interesting mathematical facts about the number 468104000 from the Numbermatics database.
Names of 468104000
- Cardinal: 468104000 can be written as Four hundred sixty-eight million, one hundred four thousand.
Scientific notation
- Scientific notation: 4.68104 × 108
Factors of 468104000
Divisors of 468104000
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 50 52 56 64 65 70 80 91 100 104 112 125 130 140 160 175 182 200 208 224 250 260 280 320 325 350 364 400 416 448 455 500 520 560 643 650 700 728 800 832 875 910 1000 1040 1120 1286 1300 1400 1456 1600 1625 1750 1820 2000 2080 2240 2275 2572 2600 2800 2912 3215 3250 3500 3640 4000 4160 4501 4550 5144 5200 5600 5824 6430 6500 7000 7280 8000 8359 9002 9100 10288 10400 11200 11375 12860 13000 14000 14560 16075 16718 18004 18200 20576 20800 22505 22750 25720 26000 28000 29120 32150 33436 36008 36400 41152 41795 45010 45500 51440 52000 56000 58513 64300 66872 72016 72800 80375 83590 90020 91000 102880 104000 112525 117026 128600 133744 144032 145600 160750 167180 180040 182000 205760 208975 225050 234052 257200 267488 288064 292565 321500 334360 360080 364000 417950 450100 468104 514400 534976 562625 585130 643000 668720 720160 728000 835900 900200 936208 1028800 1044875 1125250 1170260 1286000 1337440 1440320 1462825 1671800 1800400 1872416 2089750 2250500 2340520 2572000 2674880 2925650 3343600 3600800 3744832 4179500 4501000 4681040 5144000 5851300 6687200 7201600 7314125 8359000 9002000 9362080 11702600 13374400 14628250 16718000 18004000 18724160 23405200 29256500 33436000 36008000 46810400 58513000 66872000 93620800 117026000 234052000 468104000
- Sum of all divisors σ(n): 1428999936
- Sum of proper divisors (its aliquot sum) s(n): 960895936
- 468104000 is an abundant number, because the sum of its proper divisors (960895936) is greater than itself. Its abundance is 492791936
Bases of 468104000
- Binary: 110111110011010110011010000002
- Hexadecimal: 0x1BE6B340
- Base-36: 7QP3CW
Squares and roots of 468104000
- 468104000 squared (4681040002) is 219121354816000000
- 468104000 cubed (4681040003) is 102571582674788864000000000
-
The
square root of 468104000 is 21635.7112201103 -
The
cube root of 468104000 is 776.4511140439
Scales and comparisons
How big is 468104000?- 468,104,000 seconds is equal to 14 years, 45 weeks, 6 days, 20 hours, 53 minutes, 20 seconds.
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To count from 1 to 468,104,000 would take you about twenty-two 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 468104000 cubic inches would be around 64.7 feet tall.
Recreational maths with 468104000
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