468924006720
468,924,006,720 is an even composite number composed of six prime numbers multiplied together.
468924006720 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 468924006720:
26 × 3 × 5 × 13 × 19 × 1977581
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 19 × 1977581)See below for interesting mathematical facts about the number 468924006720 from the Numbermatics database.
Names of 468924006720
- Cardinal: 468924006720 can be written as Four hundred sixty-eight billion, nine hundred twenty-four million, six thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 4.6892400672 × 1011
Factors of 468924006720
Divisors of 468924006720
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 32 38 39 40 48 52 57 60 64 65 76 78 80 95 96 104 114 120 130 152 156 160 190 192 195 208 228 240 247 260 285 304 312 320 380 390 416 456 480 494 520 570 608 624 741 760 780 832 912 960 988 1040 1140 1216 1235 1248 1482 1520 1560 1824 1976 2080 2280 2470 2496 2964 3040 3120 3648 3705 3952 4160 4560 4940 5928 6080 6240 7410 7904 9120 9880 11856 12480 14820 15808 18240 19760 23712 29640 39520 47424 59280 79040 118560 237120 1977581 3955162 5932743 7910324 9887905 11865486 15820648 19775810 23730972 25708553 29663715 31641296 37574039 39551620 47461944 51417106 59327430 63282592 75148078 77125659 79103240 94923888 102834212 112722117 118654860 126565184 128542765 150296156 154251318 158206480 187870195 189847776 205668424 225444234 237309720 257085530 300592312 308502636 316412960 375740390 379695552 385628295 411336848 450888468 474619440 488462507 514171060 563610585 601184624 617005272 632825920 751480780 771256590 822673696 901776936 949238880 976925014 1028342120 1127221170 1202369248 1234010544 1465387521 1502961560 1542513180 1645347392 1803553872 1898477760 1953850028 2056684240 2254442340 2404738496 2442312535 2468021088 2930775042 3005923120 3085026360 3607107744 3907700056 4113368480 4508884680 4884625070 4936042176 5861550084 6011846240 6170052720 7214215488 7326937605 7815400112 8226736960 9017769360 9769250140 11723100168 12023692480 12340105440 14653875210 15630800224 18035538720 19538500280 23446200336 24680210880 29307750420 31261600448 36071077440 39077000560 46892400672 58615500840 78154001120 93784801344 117231001680 156308002240 234462003360 468924006720
- Sum of all divisors σ(n): 1687747582080
- Sum of proper divisors (its aliquot sum) s(n): 1218823575360
- 468924006720 is an abundant number, because the sum of its proper divisors (1218823575360) is greater than itself. Its abundance is 749899568640
Bases of 468924006720
- Binary: 1101101001011100000110010000001010000002
- Hexadecimal: 0x6D2E0C8140
- Base-36: 5ZF58V9C
Squares and roots of 468924006720
- 468924006720 squared (4689240067202) is 219889724078338605158400
- 468924006720 cubed (4689240067203) is 103111570451369797891732988264448000
-
The
square root of 468924006720 is 684780.2616314229 -
The
cube root of 468924006720 is 7769.0423536807
Scales and comparisons
How big is 468924006720?- 468,924,006,720 seconds is equal to 14,910 years, 17 weeks, 2 days, 4 hours, 32 minutes.
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To count from 1 to 468,924,006,720 would take you about twenty-nine thousand, eight hundred twenty 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 468924006720 cubic inches would be around 647.4 feet tall.
Recreational maths with 468924006720
- 468924006720 backwards is 027600429864
- 468924006720 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 468924006720's digits is 48
- More coming soon!
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