34418404002006
34,418,404,002,006 is an even composite number composed of five prime numbers multiplied together.
34418404002006 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 34418404002006:
2 × 311 × 17 × 19 × 673
(2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 17 × 19 × 67 × 67 × 67)See below for interesting mathematical facts about the number 34418404002006 from the Numbermatics database.
Names of 34418404002006
- Cardinal: 34418404002006 can be written as Thirty-four trillion, four hundred eighteen billion, four hundred four million, two thousand and six.
Scientific notation
- Scientific notation: 3.4418404002006 × 1013
Factors of 34418404002006
Divisors of 34418404002006
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 6 9 17 18 19 27 34 38 51 54 57 67 81 102 114 134 153 162 171 201 243 306 323 342 402 459 486 513 603 646 729 918 969 1026 1139 1206 1273 1377 1458 1539 1809 1938 2187 2278 2546 2754 2907 3078 3417 3618 3819 4131 4374 4489 4617 5427 5814 6561 6834 7638 8262 8721 8978 9234 10251 10854 11457 12393 13122 13467 13851 16281 17442 19683 20502 21641 22914 24786 26163 26934 27702 30753 32562 34371 37179 39366 40401 41553 43282 48843 52326 59049 61506 64923 68742 74358 76313 78489 80802 83106 85291 92259 97686 103113 111537 118098 121203 124659 129846 146529 152626 156978 170582 177147 184518 194769 206226 223074 228939 235467 242406 249318 255873 276777 293058 300763 309339 334611 354294 363609 373977 389538 439587 457878 470934 511746 553554 584307 601526 618678 669222 686817 706401 727218 747954 767619 830331 879174 902289 928017 1003833 1090827 1121931 1168614 1318761 1373634 1412802 1449947 1535238 1660662 1752921 1804578 1856034 2007666 2060451 2119203 2181654 2243862 2302857 2490993 2637522 2706867 2784051 2899894 3011499 3272481 3365793 3505842 3956283 4120902 4238406 4349841 4605714 4981986 5112971 5258763 5413734 5568102 5714497 6022998 6181353 6357609 6544962 6731586 6908571 7472979 7912566 8120601 8352153 8699682 9817443 10225942 10517526 11428994 11868849 12362706 12715218 13049523 13817142 14945958 15338913 15776289 16241202 16704306 17143491 18544059 19072827 19634886 20725713 22418937 23737698 24361803 25056459 26099046 29452329 30677826 31552578 34286982 37088118 38145654 39148569 41451426 44837874 46016739 47328867 48723606 50112918 51430473 55632177 57218481 58904658 62177139 67256811 73085409 75169377 78297138 88356987 92033478 94657734 97146449 102860946 111264354 114436962 117445707 124354278 134513622 138050217 141986601 146170818 150338754 154291419 166896531 176713974 186531417 194292898 201770433 219256227 225508131 234891414 265070961 276100434 283973202 291439347 308582838 333793062 352337121 373062834 403540866 414150651 425959803 438512454 451016262 462874257 500689593 530141922 559594251 582878694 657768681 704674242 795212883 828301302 851919606 874318041 925748514 1001379186 1057011363 1119188502 1242451953 1277879409 1315537362 1388622771 1502068779 1590425766 1678782753 1748636082 1973306043 2114022726 2484903906 2555758818 2622954123 2777245542 3004137558 3171034089 3357565506 3727355859 3833638227 3946612086 4165868313 4506206337 5036348259 5245908246 5919918129 6342068178 7454711718 7667276454 7868862369 8331736626 9012412674 9513102267 10072696518 11182067577 11839836258 12497604939 13518619011 15109044777 15737724738 17759754387 19026204534 22364135154 23606587107 24995209878 27037238022 28539306801 30218089554 33546202731 35519508774 37492814817 47213174214 53279263161 57078613602 67092405462 70819761321 74985629634 85617920403 100638608193 106558526322 112478444451 141639522642 171235840806 201277216386 212459283963 224956888902 256853761209 301915824579 337435333353 424918567926 513707522418 603831649158 637377851889 674870666706 905747473737 1012306000059 1274755703778 1811494947474 1912133555667 2024612000118 3824267111334 5736400667001 11472801334002 17209202001003 34418404002006
- Sum of all divisors σ(n): 87620000832000
- Sum of proper divisors (its aliquot sum) s(n): 53201596829994
- 34418404002006 is an abundant number, because the sum of its proper divisors (53201596829994) is greater than itself. Its abundance is 18783192827988
Bases of 34418404002006
- Binary: 1111101001101101010001011111010001000110101102
- Hexadecimal: 0x1F4DA8BE88D6
- Base-36: C77LH33DI
Squares and roots of 34418404002006
- 34418404002006 squared (344184040020062) is 1184626534045302636852024036
- 34418404002006 cubed (344184040020063) is 40772954640267341284733128578283704216216
-
The
square root of 34418404002006 is 5866720.0378069857 -
The
cube root of 34418404002006 is 32528.4654757611
Scales and comparisons
How big is 34418404002006?- 34,418,404,002,006 seconds is equal to 1,094,398 years, 40 weeks, 5 days, 10 hours, 20 minutes, 6 seconds.
-
To count from 1 to 34,418,404,002,006 would take you about two million, seven hundred thirty-five thousand, nine hundred ninety-six 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 34418404002006 cubic inches would be around 2710.7 feet tall.
Recreational maths with 34418404002006
- 34418404002006 backwards is 60020040481443
- The number of decimal digits it has is: 14
- The sum of 34418404002006's digits is 36
- More coming soon!
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