1138048304640000
1,138,048,304,640,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 1138048304640000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2080 divisors.
1138048304640000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and eighty divisors.
Prime factorization of 1138048304640000:
212 × 3 × 54 × 13 × 17 × 257 × 2609
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 13 × 17 × 257 × 2609)See below for interesting mathematical facts about the number 1138048304640000 from the Numbermatics database.
Names of 1138048304640000
- Cardinal: 1138048304640000 can be written as One quadrillion, one hundred thirty-eight trillion, forty-eight billion, three hundred four million, six hundred forty thousand.
Scientific notation
- Scientific notation: 1.13804830464 × 1015
Factors of 1138048304640000
Divisors of 1138048304640000
- Number of divisors d(n): 2080
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 25 26 30 32 34 39 40 48 50 51 52 60 64 65 68 75 78 80 85 96 100 102 104 120 125 128 130 136 150 156 160 170 192 195 200 204 208 221 240 250 255 256 257 260 272 300 312 320 325 340 375 384 390 400 408 416 425 442 480 500 510 512 514 520 544 600 624 625 640 650 663 680 750 768 771 780 800 816 832 850 884 960 975 1000 1020 1024 1028 1040 1088 1105 1200 1248 1250 1275 1280 1285 1300 1326 1360 1500 1536 1542 1560 1600 1625 1632 1664 1700 1768 1875 1920 1950 2000 2040 2048 2056 2080 2125 2176 2210 2400 2496 2500 2550 2560 2570 2600 2609 2652 2720 3000 3072 3084 3120 3200 3250 3264 3315 3328 3341 3400 3536 3750 3840 3855 3900 4000 4080 4096 4112 4160 4250 4352 4369 4420 4800 4875 4992 5000 5100 5120 5140 5200 5218 5304 5440 5525 6000 6144 6168 6240 6375 6400 6425 6500 6528 6630 6656 6682 6800 7072 7500 7680 7710 7800 7827 8000 8125 8160 8224 8320 8500 8704 8738 8840 9600 9750 9984 10000 10023 10200 10240 10280 10400 10436 10608 10625 10880 11050 12000 12288 12336 12480 12750 12800 12850 13000 13045 13056 13107 13260 13312 13364 13600 14144 15000 15360 15420 15600 15654 16000 16250 16320 16448 16575 16640 16705 17000 17408 17476 17680 19200 19275 19500 19968 20000 20046 20400 20480 20560 20800 20872 21216 21250 21760 21845 22100 24000 24375 24672 24960 25500 25600 25700 26000 26090 26112 26214 26520 26624 26728 27200 27625 28288 30000 30720 30840 31200 31308 31875 32000 32125 32500 32640 32896 33150 33280 33410 33917 34000 34816 34952 35360 38400 38550 39000 39135 39936 40000 40092 40800 41120 41600 41744 42432 42500 43520 43690 44200 44353 48000 48750 49344 49920 50115 51000 51200 51400 52000 52180 52224 52428 53040 53248 53456 54400 55250 56576 56797 60000 61440 61680 62400 62616 63750 64000 64250 65000 65225 65280 65535 65792 66300 66560 66820 67834 68000 69632 69904 70720 76800 77100 78000 78270 79872 80000 80184 81600 82240 82875 83200 83488 83525 84864 85000 87040 87380 88400 88706 96000 96375 97500 98688 99840 100230 101751 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4445501190000 4462934528000 4552193218560 4741867936000 5149539840000 5471386080000 5578668160000 5690241523200 5836145152000 5927334920000 6694401792000 7112801904000 7295181440000 7586988697600 8368002240000 8754217728000 8891002380000 9104386437120 9483735872000 10942772160000 11157336320000 11380483046400 11854669840000 13388803584000 14225603808000 14590362880000 15173977395200 16736004480000 17508435456000 17782004760000 18967471744000 21885544320000 22314672640000 22760966092800 23709339680000 28451207616000 29180725760000 33472008960000 35564009520000 37934943488000 43771088640000 45521932185600 47418679360000 56902415232000 66944017920000 71128019040000 75869886976000 87542177280000 94837358720000 113804830464000 142256038080000 189674717440000 227609660928000 284512076160000 379349434880000 569024152320000 1138048304640000
- Sum of all divisors σ(n): 4342188824043840
- Sum of proper divisors (its aliquot sum) s(n): 3204140519403840
- 1138048304640000 is an abundant number, because the sum of its proper divisors (3204140519403840) is greater than itself. Its abundance is 2066092214763840
Bases of 1138048304640000
- Binary: 1000000101100001100100001001110111101110000000000002
- Hexadecimal: 0x40B0C84EF7000
- Base-36: B7EK691NUO
Squares and roots of 1138048304640000
- 1138048304640000 squared (11380483046400002) is 1295153943693978245529600000000
- 1138048304640000 cubed (11380483046400003) is 1473947749868741961302002938937344000000000000
-
The
square root of 1138048304640000 is 33734971.5375602473 -
The
cube root of 1138048304640000 is 104404.7438134507
Scales and comparisons
How big is 1138048304640000?- 1,138,048,304,640,000 seconds is equal to 36,186,415 years, 45 weeks, 2 days, 18 hours, 40 minutes.
-
To count from 1 to 1,138,048,304,640,000 would take you about one hundred eight million, five hundred fifty-nine thousand, two hundred forty-seven 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 1138048304640000 cubic inches would be around 8700.4 feet tall.
Recreational maths with 1138048304640000
- 1138048304640000 backwards is 0000464038408311
- The number of decimal digits it has is: 16
- The sum of 1138048304640000's digits is 42
- More coming soon!
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Numbermatics. (2024). Number 1138048304640000 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/1138048304640000/
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The information we have on file for 1138048304640000 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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