406428144616000
406,428,144,616,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 406428144616000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 672 divisors.
406428144616000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 406428144616000:
26 × 53 × 133 × 41 × 7512
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 13 × 13 × 41 × 751 × 751)See below for interesting mathematical facts about the number 406428144616000 from the Numbermatics database.
Names of 406428144616000
- Cardinal: 406428144616000 can be written as Four hundred six trillion, four hundred twenty-eight billion, one hundred forty-four million, six hundred sixteen thousand.
Scientific notation
- Scientific notation: 4.06428144616 × 1014
Factors of 406428144616000
Divisors of 406428144616000
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 41 50 52 64 65 80 82 100 104 125 130 160 164 169 200 205 208 250 260 320 325 328 338 400 410 416 500 520 533 650 656 676 751 800 820 832 845 1000 1025 1040 1066 1300 1312 1352 1502 1600 1625 1640 1690 2000 2050 2080 2132 2197 2600 2624 2665 2704 3004 3250 3280 3380 3755 4000 4100 4160 4225 4264 4394 5125 5200 5330 5408 6008 6500 6560 6760 6929 7510 8000 8200 8450 8528 8788 9763 10250 10400 10660 10816 10985 12016 13000 13120 13325 13520 13858 15020 16400 16900 17056 17576 18775 19526 20500 20800 21125 21320 21970 24032 26000 26650 27040 27716 30040 30791 32800 33800 34112 34645 35152 37550 39052 41000 42250 42640 43940 48064 48815 52000 53300 54080 54925 55432 60080 61582 65600 66625 67600 69290 70304 75100 78104 82000 84500 85280 87880 90077 93875 97630 104000 106600 109850 110864 120160 123164 126919 133250 135200 138580 140608 150200 153955 156208 164000 169000 170560 173225 175760 180154 187750 195260 213200 219700 221728 240320 244075 246328 253838 266500 270400 274625 277160 300400 307910 312416 328000 338000 346450 351520 360308 375500 390520 400283 426400 439400 443456 450385 488150 492656 507676 533000 549250 554320 564001 600800 615820 624832 634595 676000 692900 703040 720616 751000 769775 781040 800566 852800 866125 878800 900770 976300 985312 1015352 1066000 1098500 1108640 1128002 1201600 1220375 1231640 1269190 1352000 1385800 1441232 1502000 1539550 1562080 1601132 1649947 1732250 1757600 1801540 1952600 1970624 2001415 2030704 2132000 2197000 2217280 2251925 2256004 2440750 2463280 2538380 2771600 2820005 2882464 3004000 3079100 3124160 3172975 3202264 3299894 3464500 3515200 3603080 3848875 3905200 4002830 4061408 4264000 4394000 4503850 4512008 4881500 4926560 5076760 5203679 5543200 5640010 5764928 6008000 6158200 6345950 6404528 6599788 6929000 7206160 7332013 7697750 7810400 8005660 8122816 8249735 8788000 9007700 9024016 9763000 9853120 10007075 10153520 10407358 11086400 11259625 11280020 12316400 12691900 12809056 13199576 13858000 14100025 14412320 14664026 15395500 15620800 15864875 16011320 16499470 17576000 18015400 18048032 19526000 20014150 20307040 20814716 22519250 22560040 23124041 24632800 25383800 25618112 26018395 26399152 27716000 28200050 28824640 29328052 30791000 31729750 32022640 32998940 36030800 36096064 36660065 39052000 40028300 40614080 41248675 41629432 45038500 45120080 46248082 49265600 50035375 50767600 52036790 52798304 55432000 56400100 58656104 61582000 63459500 64045280 65997880 67647827 70500125 72061600 73320130 78104000 80056600 82497350 83258864 90077000 90240160 92496164 95316169 100070750 101535200 104073580 105596608 112800200 115620205 117312208 123164000 126919000 128090560 130091975 131995760 135295654 141000250 144123200 146640260 160113200 164994700 166517728 180154000 180480320 183300325 184992328 190632338 200141500 203070400 206243375 208147160 225600400 231240410 234624416 246328000 253838000 260183950 263991520 270591308 282000500 293280520 300612533 320226400 329989400 333035456 338239135 360308000 366600650 369984656 381264676 400283000 412486750 416294320 451200800 462480820 469248832 476580845 507676000 520367900 527983040 541182616 564001000 578101025 586561040 601225066 640452800 650459875 659978800 676478270 720616000 733201300 739969312 762529352 800566000 824973500 832588640 902401600 916501625 924961640 953161690 1015352000 1040735800 1082365232 1128002000 1156202050 1173122080 1202450132 1239110197 1300919750 1319957600 1352956540 1466402600 1479938624 1503062665 1525058704 1601132000 1649947000 1665177280 1691195675 1833003250 1849923280 1906323380 2081471600 2164730464 2256004000 2312404100 2346244160 2382904225 2404900264 2478220394 2601839500 2639915200 2705913080 2890505125 2932805200 3006125330 3050117408 3202264000 3299894000 3382391350 3666006500 3699846560 3812646760 3907962929 4162943200 4329460928 4512008000 4624808200 4765808450 4809800528 4956440788 5203679000 5411826160 5781010250 5865610400 6012250660 6100234816 6195550985 6599788000 6764782700 7332013000 7399693120 7515313325 7625293520 7815925858 8325886400 8455978375 9249616400 9531616900 9619601056 9912881576 10407358000 10823652320 11562020500 11731220800 11914521125 12024501320 12391101970 13199576000 13529565400 14664026000 15030626650 15250587040 15631851716 16911956750 18499232800 19063233800 19239202112 19539814645 19825763152 20814716000 21647304640 23124041000 23829042250 24049002640 24782203940 27059130800 29328052000 30061253300 30501174080 30977754925 31263703432 33823913500 36998465600 37576566625 38126467600 39079629290 39651526304 41629432000 46248082000 47658084500 48098005280 49564407880 50803518077 54118261600 58656104000 60122506600 61955509850 62527406864 67647827000 75153133250 76252935200 78159258580 79303052608 92496164000 95316169000 96196010560 97699073225 99128815760 101607036154 108236523200 120245013200 123911019700 125054813728 135295654000 150306266500 152505870400 154888774625 156318517160 184992328000 190632338000 195398146450 198257631520 203214072308 240490026400 247822039400 250109627456 254017590385 270591308000 300612533000 309777549250 312637034320 381264676000 390796292900 396515263040 406428144616 480980052800 488495366125 495644078800 508035180770 541182616000 601225066000 619555098500 625274068640 762529352000 781592585800 812856289232 976990732250 991288157600 1016070361540 1202450132000 1239110197000 1250548137280 1270087951925 1563185171600 1625712578464 1953981464500 1982576315200 2032140723080 2404900264000 2478220394000 2540175903850 3126370343200 3251425156928 3907962929000 4064281446160 4956440788000 5080351807700 6252740686400 6350439759625 7815925858000 8128562892320 9912881576000 10160703615400 12700879519250 15631851716000 16257125784640 20321407230800 25401759038500 31263703432000 40642814461600 50803518077000 81285628923200 101607036154000 203214072308000 406428144616000
- Sum of all divisors σ(n): 1118441088142560
- Sum of proper divisors (its aliquot sum) s(n): 712012943526560
- 406428144616000 is an abundant number, because the sum of its proper divisors (712012943526560) is greater than itself. Its abundance is 305584798910560
Bases of 406428144616000
- Binary: 10111000110100100111011010010111111000010010000002
- Hexadecimal: 0x171A4ED2FC240
- Base-36: 402EIFN29S
Squares and roots of 406428144616000
- 406428144616000 squared (4064281446160002) is 165183836736004209787456000000
- 406428144616000 cubed (4064281446160003) is 67135360285166452389480969790736896000000000
-
The
square root of 406428144616000 is 20160063.1104170901 -
The
cube root of 406428144616000 is 74073.2258250911
Scales and comparisons
How big is 406428144616000?- 406,428,144,616,000 seconds is equal to 12,923,157 years, 43 weeks, 2 days, 13 hours, 46 minutes, 40 seconds.
-
To count from 1 to 406,428,144,616,000 would take you about thirty-two million, three hundred seven thousand, eight hundred ninety-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 406428144616000 cubic inches would be around 6172.8 feet tall.
Recreational maths with 406428144616000
- 406428144616000 backwards is 000616441824604
- The number of decimal digits it has is: 15
- The sum of 406428144616000's digits is 46
- More coming soon!
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