470418968000
470,418,968,000 is an even composite number composed of six prime numbers multiplied together.
470418968000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 470418968000:
26 × 53 × 17 × 43 × 257 × 313
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 17 × 43 × 257 × 313)See below for interesting mathematical facts about the number 470418968000 from the Numbermatics database.
Names of 470418968000
- Cardinal: 470418968000 can be written as Four hundred seventy billion, four hundred eighteen million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 4.70418968 × 1011
Factors of 470418968000
Divisors of 470418968000
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 32 34 40 43 50 64 68 80 85 86 100 125 136 160 170 172 200 215 250 257 272 313 320 340 344 400 425 430 500 514 544 626 680 688 731 800 850 860 1000 1028 1075 1088 1252 1285 1360 1376 1462 1565 1600 1700 1720 2000 2056 2125 2150 2504 2570 2720 2752 2924 3130 3400 3440 3655 4000 4112 4250 4300 4369 5008 5140 5321 5375 5440 5848 6260 6425 6800 6880 7310 7825 8000 8224 8500 8600 8738 10016 10280 10642 10750 11051 11696 12520 12850 13459 13600 13760 14620 15650 16448 17000 17200 17476 18275 20032 20560 21284 21500 21845 22102 23392 25040 25700 26605 26918 27200 29240 31300 32125 34000 34400 34952 36550 39125 41120 42568 43000 43690 44204 46784 50080 51400 53210 53836 55255 58480 62600 64250 67295 68000 68800 69904 73100 78250 80441 82240 85136 86000 87380 88408 91375 100160 102800 106420 107672 109225 110510 116960 125200 128500 133025 134590 136000 139808 146200 156500 160882 170272 172000 174760 176816 182750 187867 205600 212840 215344 218450 221020 228803 233920 250400 257000 266050 269180 276275 279616 292400 313000 321764 336475 340544 344000 349520 353632 365500 375734 402205 411200 425680 430688 436900 442040 457606 500800 514000 532100 538360 546125 552550 584800 626000 643528 665125 672950 699040 707264 731000 751468 804410 851360 861376 873800 884080 915212 939335 1028000 1064200 1076720 1092250 1105100 1144015 1169600 1252000 1287056 1330250 1345900 1367497 1381375 1398080 1462000 1502936 1608820 1682375 1702720 1747600 1768160 1830424 1878670 2011025 2056000 2128400 2153440 2184500 2210200 2288030 2504000 2574112 2660500 2691800 2734994 2762750 2924000 3005872 3217640 3364750 3458963 3495200 3536320 3660848 3757340 4022050 4256800 4306880 4369000 4420400 4576060 4696675 5148224 5321000 5383600 5469988 5525500 5720075 5848000 6011744 6435280 6729500 6837485 6917926 6990400 7321696 7514680 8044100 8513600 8738000 8840800 9152120 9393350 10055125 10642000 10767200 10939976 11051000 11440150 12023488 12870560 13459000 13674970 13835852 14643392 15029360 16088200 17294815 17476000 17681600 18304240 18786700 20110250 21284000 21534400 21879952 22102000 22880300 23483375 25741120 26918000 27349940 27671704 28600375 30058720 32176400 34187425 34589630 34952000 36608480 37573400 40220500 42568000 43759904 44204000 45760600 46966750 53836000 54699880 55343408 57200750 58802371 60117440 64352800 68374850 69179260 73216960 75146800 80441000 86474075 87519808 88408000 91521200 93933500 107672000 109399760 110686816 114401500 117604742 128705600 136749700 138358520 150293600 160882000 170937125 172948150 183042400 187867000 218799520 221373632 228803000 235209484 273499400 276717040 294011855 300587200 321764000 341874250 345896300 366084800 375734000 432370375 437599040 457606000 470418968 546998800 553434080 588023710 643528000 683748500 691792600 751468000 864740750 915212000 940837936 1093997600 1106868160 1176047420 1367497000 1383585200 1470059275 1502936000 1729481500 1830424000 1881675872 2187995200 2352094840 2734994000 2767170400 2940118550 3458963000 3763351744 4704189680 5469988000 5534340800 5880237100 6917926000 7350296375 9408379360 10939976000 11760474200 13835852000 14700592750 18816758720 23520948400 27671704000 29401185500 47041896800 58802371000 94083793600 117604742000 235209484000 470418968000
- Sum of all divisors σ(n): 1271167717248
- Sum of proper divisors (its aliquot sum) s(n): 800748749248
- 470418968000 is an abundant number, because the sum of its proper divisors (800748749248) is greater than itself. Its abundance is 330329781248
Bases of 470418968000
- Binary: 1101101100001110010011111001101110000002
- Hexadecimal: 0x6D8727CDC0
- Base-36: 603VB2RK
Squares and roots of 470418968000
- 470418968000 squared (4704189680002) is 221294005454185024000000
- 470418968000 cubed (4704189680003) is 104100897670344090271135232000000000
-
The
square root of 470418968000 is 685870.9557927059 -
The
cube root of 470418968000 is 7777.2896721051
Scales and comparisons
How big is 470418968000?- 470,418,968,000 seconds is equal to 14,957 years, 45 weeks, 23 hours, 33 minutes, 20 seconds.
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To count from 1 to 470,418,968,000 would take you about twenty-nine thousand, nine hundred fifteen 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 470418968000 cubic inches would be around 648.1 feet tall.
Recreational maths with 470418968000
- 470418968000 backwards is 000869814074
- The number of decimal digits it has is: 12
- The sum of 470418968000's digits is 47
- More coming soon!
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