6746228490144000
6,746,228,490,144,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 6746228490144000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3456 divisors.
6746228490144000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 6746228490144000:
28 × 3 × 53 × 112 × 133 × 19 × 13913
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 11 × 13 × 13 × 13 × 19 × 13913)See below for interesting mathematical facts about the number 6746228490144000 from the Numbermatics database.
Names of 6746228490144000
- Cardinal: 6746228490144000 can be written as Six quadrillion, seven hundred forty-six trillion, two hundred twenty-eight billion, four hundred ninety million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 6.746228490144 × 1015
Factors of 6746228490144000
Divisors of 6746228490144000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 19 20 22 24 25 26 30 32 33 38 39 40 44 48 50 52 55 57 60 64 65 66 75 76 78 80 88 95 96 100 104 110 114 120 121 125 128 130 132 143 150 152 156 160 165 169 176 190 192 195 200 208 209 220 228 240 242 247 250 256 260 264 275 285 286 300 304 312 320 325 330 338 352 363 375 380 384 390 400 416 418 429 440 456 475 480 484 494 500 507 520 528 550 570 572 600 605 608 624 627 640 650 660 676 704 715 726 741 750 760 768 780 800 825 832 836 845 858 880 912 950 960 968 975 988 1000 1014 1040 1045 1056 1100 1140 1144 1200 1210 1216 1235 1248 1254 1280 1300 1320 1352 1375 1408 1425 1430 1452 1482 1500 1520 1560 1573 1600 1625 1650 1664 1672 1690 1716 1760 1815 1824 1859 1900 1920 1936 1950 1976 2000 2028 2080 2090 2112 2145 2197 2200 2280 2288 2299 2375 2400 2420 2432 2470 2496 2508 2535 2600 2640 2704 2717 2750 2816 2850 2860 2904 2964 3000 3025 3040 3120 3135 3146 3200 3211 3250 3300 3328 3344 3380 3432 3520 3575 3630 3648 3705 3718 3800 3840 3872 3900 3952 4000 4056 4125 4160 4180 4224 4225 4290 4394 4400 4560 4576 4598 4719 4750 4800 4840 4864 4875 4940 4992 5016 5070 5200 5225 5280 5408 5434 5500 5577 5700 5720 5808 5928 6000 6050 6080 6175 6240 6270 6292 6400 6422 6500 6591 6600 6688 6760 6864 6897 7040 7125 7150 7260 7296 7410 7436 7600 7744 7800 7865 7904 8000 8112 8151 8250 8320 8360 8448 8450 8580 8788 8800 9075 9120 9152 9196 9295 9438 9500 9600 9633 9680 9750 9880 9984 10032 10140 10400 10450 10560 10725 10816 10868 10985 11000 11154 11400 11440 11495 11616 11856 12000 12100 12160 12350 12480 12540 12584 12675 12844 13000 13182 13200 13376 13520 13585 13728 13794 13913 14080 14250 14300 14520 14592 14820 14872 15125 15200 15488 15600 15675 15730 15808 16000 16055 16224 16302 16500 16640 16720 16900 17160 17576 17600 17875 18150 18240 18304 18392 18525 18590 18876 19000 19200 19266 19360 19500 19760 20064 20280 20449 20800 20900 21120 21125 21450 21632 21736 21970 22000 22308 22800 22880 22990 23232 23595 23712 24000 24167 24200 24320 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12973516327200 13306170592000 13492456980288 13656332976000 13938488616000 14054642687800 14202586295040 14794360724000 15332337477600 15725474336000 16139302608000 16216895409000 16865571225360 17298021769600 17568303359750 17753232868800 17989942640384 18584651488000 19165421847000 19959255888000 20443116636800 20757626123520 21081964031700 21622527212000 22191541086000 22487428300480 23588211504000 23670977158400 24531739964160 25553895796000 25947032654400 26352455039625 26984913960576 27312665952000 27876977232000 28109285375600 29588721448000 30664674955200 32278605216000 32433790818000 33731142450720 34596043539200 35136606719500 35506465737600 38330843694000 39918511776000 40886233273600 42163928063400 43245054424000 44383082172000 44974856600960 47176423008000 51107791592000 51894065308800 52704910079250 53969827921152 55753954464000 56218570751200 59177442896000 61329349910400 64867581636000 67462284901440 70273213439000 71012931475200 76661687388000 84327856126800 86490108848000 88766164344000 89949713201920 102215583184000 103788130617600 105409820158500 112437141502400 118354885792000 122658699820800 129735163272000 134924569802880 140546426878000 153323374776000 168655712253600 172980217696000 177532328688000 204431166368000 210819640317000 224874283004800 259470326544000 269849139605760 281092853756000 306646749552000 337311424507200 355064657376000 421639280634000 449748566009600 518940653088000 562185707512000 613293499104000 674622849014400 843278561268000 1124371415024000 1349245698028800 1686557122536000 2248742830048000 3373114245072000 6746228490144000
- Sum of all divisors σ(n): 28087693834636800
- Sum of proper divisors (its aliquot sum) s(n): 21341465344492800
- 6746228490144000 is an abundant number, because the sum of its proper divisors (21341465344492800) is greater than itself. Its abundance is 14595236854348800
Bases of 6746228490144000
- Binary: 101111111011110101000101110001011101010001001000000002
- Hexadecimal: 0x17F7A8B8BA8900
- Base-36: 1UFC6L0KNPC
Squares and roots of 6746228490144000
- 6746228490144000 squared (67462284901440002) is 45511598841230593905140736000000
- 6746228490144000 cubed (67462284901440003) is 307031644734714489495617996185108905984000000000
-
The
square root of 6746228490144000 is 82135427.7406771653 -
The
cube root of 6746228490144000 is 188952.9523735379
Scales and comparisons
How big is 6746228490144000?- 6,746,228,490,144,000 seconds is equal to 214,509,198 years, 27 weeks, 4 days, 13 hours, 20 minutes.
-
To count from 1 to 6,746,228,490,144,000 would take you about six hundred forty-three million, five hundred twenty-seven thousand, five hundred ninety-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 6746228490144000 cubic inches would be around 15746.1 feet tall.
Recreational maths with 6746228490144000
- 6746228490144000 backwards is 0004410948226476
- 6746228490144000 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 6746228490144000's digits is 57
- More coming soon!
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Cite this page
MLA style:
"Number 6746228490144000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
APA style:
Numbermatics. (2024). Number 6746228490144000 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/6746228490144000/
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Numbermatics. 2024. "Number 6746228490144000 - Facts about the integer". https://numbermatics.com/n/6746228490144000/
The information we have on file for 6746228490144000 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!
Keywords: Divisors of 6746228490144000, math, Factors of 6746228490144000, curriculum, school, college, exams, university, Prime factorization of 6746228490144000, STEM, science, technology, engineering, physics, economics, calculator, six quadrillion, seven hundred forty-six trillion, two hundred twenty-eight billion, four hundred ninety million, one hundred forty-four thousand.