420408515072
420,408,515,072 is an even composite number composed of six prime numbers multiplied together.
What does the number 420408515072 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 320 divisors.
420408515072 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 420408515072:
29 × 7 × 13 × 163 × 197 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 13 × 163 × 197 × 281)See below for interesting mathematical facts about the number 420408515072 from the Numbermatics database.
Names of 420408515072
- Cardinal: 420408515072 can be written as Four hundred twenty billion, four hundred eight million, five hundred fifteen thousand and seventy-two.
Scientific notation
- Scientific notation: 4.20408515072 × 1011
Factors of 420408515072
Divisors of 420408515072
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 163 182 197 208 224 256 281 326 364 394 416 448 512 562 652 728 788 832 896 1124 1141 1304 1379 1456 1576 1664 1792 1967 2119 2248 2282 2561 2608 2758 2912 3152 3328 3584 3653 3934 4238 4496 4564 5122 5216 5516 5824 6304 6656 7306 7868 8476 8992 9128 10244 10432 11032 11648 12608 14612 14833 15736 16952 17927 17984 18256 20488 20864 22064 23296 25216 25571 29224 29666 31472 32111 33904 35854 35968 36512 40976 41728 44128 45803 46592 50432 51142 55357 58448 59332 62944 64222 67808 71708 71936 73024 81952 83456 88256 91606 100864 102284 110714 116896 118664 125888 128444 135616 143416 143872 146048 163904 176512 183212 204568 221428 224777 233792 237328 251776 256888 271232 286832 292096 320621 327808 353024 366424 387499 409136 417443 442856 449554 467584 474656 503552 513776 542464 573664 584192 595439 641242 655616 706048 719641 732848 774998 818272 834886 885712 899108 935168 949312 1007104 1027552 1084928 1147328 1190878 1282484 1311232 1439282 1465696 1549996 1636544 1669772 1771424 1798216 1870336 1898624 2055104 2294656 2381756 2564968 2878564 2922101 2931392 3099992 3273088 3339544 3542848 3596432 3797248 4110208 4168073 4589312 4763512 5037487 5129936 5757128 5844202 5862784 6199984 6546176 6679088 7085696 7192864 7594496 8220416 8336146 9023191 9178624 9527024 10074974 10259872 11514256 11688404 11725568 12399968 13092352 13358176 14171392 14385728 16440832 16672292 18046382 19054048 20149948 20519744 23028512 23376808 23451136 24799936 26716352 28342784 28771456 33344584 36092764 38108096 40299896 41039488 46057024 46753616 49599872 53432704 57542912 63162337 66689168 72185528 76216192 80599792 82078976 92114048 93507232 99199744 106865408 115085824 117301483 126324674 133378336 144371056 152432384 161199584 164157952 184228096 187014464 198399488 213730816 234602966 252649348 266756672 288742112 304864768 322399168 368456192 374028928 469205932 505298696 533513344 577484224 644798336 748057856 821110381 938411864 1010597392 1067026688 1154968448 1289596672 1496115712 1642220762 1876823728 2021194784 2134053376 2309936896 2579193344 3284441524 3753647456 4042389568 4619873792 6568883048 7507294912 8084779136 13137766096 15014589824 16169558272 26275532192 30029179648 32339116544 52551064384 60058359296 105102128768 210204257536 420408515072
- Sum of all divisors σ(n): 1049184347904
- Sum of proper divisors (its aliquot sum) s(n): 628775832832
- 420408515072 is an abundant number, because the sum of its proper divisors (628775832832) is greater than itself. Its abundance is 208367317760
Bases of 420408515072
- Binary: 1100001111000100100110011011010000000002
- Hexadecimal: 0x61E24CDA00
- Base-36: 5D4SDIBK
Squares and roots of 420408515072
- 420408515072 squared (4204085150722) is 176743319545044051165184
- 420408515072 cubed (4204085150723) is 74304396518827964167182196825653248
-
The
square root of 420408515072 is 648389.1694592067 -
The
cube root of 420408515072 is 7491.2996299895
Scales and comparisons
How big is 420408515072?- 420,408,515,072 seconds is equal to 13,367 years, 35 weeks, 6 days, 7 hours, 4 minutes, 32 seconds.
-
To count from 1 to 420,408,515,072 would take you about twenty-six thousand, seven hundred thirty-five 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 420408515072 cubic inches would be around 624.3 feet tall.
Recreational maths with 420408515072
- 420408515072 backwards is 270515804024
- The number of decimal digits it has is: 12
- The sum of 420408515072's digits is 38
- More coming soon!
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