34138268640
34,138,268,640 is an even composite number composed of five prime numbers multiplied together.
34138268640 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 34138268640:
25 × 33 × 5 × 73 × 23039
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 7 × 23039)See below for interesting mathematical facts about the number 34138268640 from the Numbermatics database.
Names of 34138268640
- Cardinal: 34138268640 can be written as Thirty-four billion, one hundred thirty-eight million, two hundred sixty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 3.413826864 × 1010
Factors of 34138268640
Divisors of 34138268640
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 49 54 56 60 63 70 72 80 84 90 96 98 105 108 112 120 126 135 140 144 147 160 168 180 189 196 210 216 224 240 245 252 270 280 288 294 315 336 343 360 378 392 420 432 441 480 490 504 540 560 588 630 672 686 720 735 756 784 840 864 882 945 980 1008 1029 1080 1120 1176 1260 1323 1372 1440 1470 1512 1568 1680 1715 1764 1890 1960 2016 2058 2160 2205 2352 2520 2646 2744 2940 3024 3087 3360 3430 3528 3780 3920 4116 4320 4410 4704 5040 5145 5292 5488 5880 6048 6174 6615 6860 7056 7560 7840 8232 8820 9261 10080 10290 10584 10976 11760 12348 13230 13720 14112 15120 15435 16464 17640 18522 20580 21168 23039 23520 24696 26460 27440 30240 30870 32928 35280 37044 41160 42336 46078 46305 49392 52920 54880 61740 69117 70560 74088 82320 92156 92610 98784 105840 115195 123480 138234 148176 161273 164640 184312 185220 207351 211680 230390 246960 276468 296352 322546 345585 368624 370440 414702 460780 483819 493920 552936 622053 645092 691170 737248 740880 806365 829404 921560 967638 1036755 1105872 1128911 1244106 1290184 1382340 1451457 1481760 1612730 1658808 1843120 1935276 2073510 2211744 2257822 2419095 2488212 2580368 2764680 2902914 3110265 3225460 3317616 3386733 3686240 3870552 4147020 4354371 4515644 4838190 4976424 5160736 5529360 5644555 5805828 6220530 6450920 6635232 6773466 7257285 7741104 7902377 8294040 8708742 9031288 9676380 9952848 10160199 11058720 11289110 11611656 12441060 12901840 13546932 14514570 15482208 15804754 16588080 16933665 17417484 18062576 19352760 19905696 20320398 21771855 22578220 23223312 23707131 24882120 25803680 27093864 29029140 30480597 31609508 33176160 33867330 34834968 36125152 38705520 39511885 40640796 43543710 45156440 46446624 47414262 49764240 50800995 54187728 58058280 60961194 63219016 67734660 69669936 71121393 77411040 79023770 81281592 87087420 90312880 94828524 99528480 101601990 108375456 116116560 118535655 121922388 126438032 135469320 139339872 142242786 152402985 158047540 162563184 174174840 180625760 189657048 203203980 213364179 232233120 237071310 243844776 252876064 270938640 284485572 304805970 316095080 325126368 348349680 355606965 379314096 406407960 426728358 474142620 487689552 541877280 568971144 609611940 632190160 696699360 711213930 758628192 812815920 853456716 948285240 975379104 1066820895 1137942288 1219223880 1264380320 1422427860 1625631840 1706913432 1896570480 2133641790 2275884576 2438447760 2844855720 3413826864 3793140960 4267283580 4876895520 5689711440 6827653728 8534567160 11379422880 17069134320 34138268640
- Sum of all divisors σ(n): 139345920000
- Sum of proper divisors (its aliquot sum) s(n): 105207651360
- 34138268640 is an abundant number, because the sum of its proper divisors (105207651360) is greater than itself. Its abundance is 71069382720
Bases of 34138268640
- Binary: 111111100101100110010100011111000002
- Hexadecimal: 0x7F2CCA3E0
- Base-36: FOL1KO0
Squares and roots of 34138268640
- 34138268640 squared (341382686402) is 1165421385736807449600
- 34138268640 cubed (341382686403) is 39785468345084197050398060544000
-
The
square root of 34138268640 is 184765.4422233769 -
The
cube root of 34138268640 is 3243.9973980841
Scales and comparisons
How big is 34138268640?- 34,138,268,640 seconds is equal to 1,085 years, 25 weeks, 3 days, 20 hours, 24 minutes.
-
To count from 1 to 34,138,268,640 would take you about two thousand, one hundred seventy 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 34138268640 cubic inches would be around 270.3 feet tall.
Recreational maths with 34138268640
- 34138268640 backwards is 04686283143
- 34138268640 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 34138268640's digits is 45
- More coming soon!
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