138517149133440
138,517,149,133,440 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138517149133440 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
138517149133440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138517149133440:
27 × 33 × 5 × 72 × 11 × 672 × 3313
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 11 × 67 × 67 × 3313)See below for interesting mathematical facts about the number 138517149133440 from the Numbermatics database.
Names of 138517149133440
- Cardinal: 138517149133440 can be written as One hundred thirty-eight trillion, five hundred seventeen billion, one hundred forty-nine million, one hundred thirty-three thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3851714913344 × 1014
Factors of 138517149133440
Divisors of 138517149133440
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 27 28 30 32 33 35 36 40 42 44 45 48 49 54 55 56 60 63 64 66 67 70 72 77 80 84 88 90 96 98 99 105 108 110 112 120 126 128 132 134 135 140 144 147 154 160 165 168 176 180 189 192 196 198 201 210 216 220 224 231 240 245 252 264 268 270 280 288 294 297 308 315 320 330 335 336 352 360 378 384 385 392 396 402 420 432 440 441 448 462 469 480 490 495 504 528 536 539 540 560 576 588 594 603 616 630 640 660 670 672 693 704 720 735 737 756 770 784 792 804 840 864 880 882 896 924 938 945 960 980 990 1005 1008 1056 1072 1078 1080 1120 1152 1155 1176 1188 1206 1232 1260 1320 1323 1340 1344 1386 1407 1408 1440 1470 1474 1485 1512 1540 1568 1584 1608 1617 1680 1728 1760 1764 1809 1848 1876 1890 1920 1960 1980 2010 2016 2079 2112 2144 2156 2160 2205 2211 2240 2310 2345 2352 2376 2412 2464 2520 2640 2646 2680 2688 2695 2772 2814 2880 2940 2948 2970 3015 3024 3080 3136 3168 3216 3234 3283 3313 3360 3456 3465 3520 3528 3618 3685 3696 3752 3780 3920 3960 4020 4032 4158 4221 4224 4288 4312 4320 4410 4422 4480 4489 4620 4690 4704 4752 4824 4851 4928 5040 5159 5280 5292 5360 5390 5544 5628 5760 5880 5896 5940 6030 6048 6160 6272 6336 6432 6468 6566 6615 6626 6633 6720 6930 7035 7040 7056 7236 7370 7392 7504 7560 7840 7920 8040 8064 8085 8316 8442 8576 8624 8640 8820 8844 8978 9045 9240 9380 9408 9504 9648 9702 9849 9856 9939 10080 10318 10395 10560 10584 10720 10780 11055 11088 11256 11760 11792 11880 12060 12096 12320 12663 12672 12864 12936 13132 13230 13252 13266 13440 13467 13860 14070 14112 14472 14553 14740 14784 15008 15120 15477 15680 15840 16080 16170 16415 16565 16632 16884 17248 17280 17640 17688 17956 18090 18480 18760 18816 19008 19296 19404 19698 19878 19899 20160 20636 20790 21105 21120 21168 21440 21560 22110 22176 22445 22512 23191 23520 23584 23760 24120 24192 24255 24640 25326 25728 25795 25872 26264 26460 26504 26532 26934 27720 28140 28224 28944 29106 29480 29547 29568 29817 30016 30240 30954 31360 31423 31680 32160 32340 32830 33130 33165 33264 33768 34496 35280 35376 35912 36113 36180 36443 36960 37520 38016 38592 38808 39396 39756 39798 40320 40401 41272 41580 42210 42336 42880 43120 44220 44352 44890 45024 46382 46431 47040 47168 47520 48240 48510 49245 49280 49379 49695 50652 51590 51744 52528 52920 53008 53064 53868 55440 56280 56448 57888 58212 58960 59094 59634 60032 60480 61908 62846 63315 63360 64320 64680 65660 66260 66330 66528 67335 67536 68992 69573 70560 70752 71824 72226 72360 72765 72886 73920 75040 77184 77385 77616 78792 79512 79596 80802 82544 83160 84420 84672 86240 88440 88641 88704 89451 89780 90048 92764 92862 94080 94269 94336 95040 96480 97020 98490 98758 99390 99495 101304 103180 103488 105056 105840 106016 106128 107736 108339 109329 110880 112560 115776 115955 116424 117920 118188 119268 120960 121203 123816 125692 126630 128640 129360 131320 132520 132660 133056 134670 135072 139146 139293 141120 141504 143648 144452 144720 145530 145772 147735 147840 148137 149085 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1259246810304 1282566195680 1319210944128 1399163122560 1413440297280 1442886970140 1539079434816 1574058512880 1649013680160 1731464364168 1798924014720 1923849293520 1978816416192 2067420136320 2098744683840 2164330455210 2198684906880 2308619152224 2473520520240 2518493620608 2565132391360 2826880594560 2885773940280 3078158869632 3148117025760 3298027360320 3462928728336 3847698587040 3957632832384 4197489367680 4328660910420 4617238304448 4947041040480 5130264782720 5771547880560 6296234051520 6596054720640 6925857456672 7695397174080 8657321820840 9234476608896 9894082080960 11543095761120 12592468103040 13851714913344 15390794348160 17314643641680 19788164161920 23086191522240 27703429826688 34629287283360 46172383044480 69258574566720 138517149133440
- Sum of all divisors σ(n): 632177531798400
- Sum of proper divisors (its aliquot sum) s(n): 493660382664960
- 138517149133440 is an abundant number, because the sum of its proper divisors (493660382664960) is greater than itself. Its abundance is 355143233531520
Bases of 138517149133440
- Binary: 111110111111011000010010111100000101010100000002
- Hexadecimal: 0x7DFB09782A80
- Base-36: 1D3LWE6QO0
Squares and roots of 138517149133440
- 138517149133440 squared (1385171491334402) is 19187000604055657742926233600
- 138517149133440 cubed (1385171491334403) is 2657728624095380908475103764796083011584000
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The
square root of 138517149133440 is 11769330.8702508657 -
The
cube root of 138517149133440 is 51740.9638756595
Scales and comparisons
How big is 138517149133440?- 138,517,149,133,440 seconds is equal to 4,404,416 years, 45 weeks, 5 days, 14 hours, 24 minutes.
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To count from 1 to 138,517,149,133,440 would take you about eleven million, eleven thousand and forty-two 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 138517149133440 cubic inches would be around 4311.7 feet tall.
Recreational maths with 138517149133440
- 138517149133440 backwards is 044331941715831
- 138517149133440 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138517149133440's digits is 54
- More coming soon!
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The information we have on file for 138517149133440 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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