48461679090400
48,461,679,090,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 48461679090400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 288 divisors.
48461679090400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 48461679090400:
25 × 52 × 433 × 739 × 1031
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 43 × 43 × 43 × 739 × 1031)See below for interesting mathematical facts about the number 48461679090400 from the Numbermatics database.
Names of 48461679090400
- Cardinal: 48461679090400 can be written as Forty-eight trillion, four hundred sixty-one billion, six hundred seventy-nine million, ninety thousand, four hundred.
Scientific notation
- Scientific notation: 4.84616790904 × 1013
Factors of 48461679090400
Divisors of 48461679090400
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 43 50 80 86 100 160 172 200 215 344 400 430 688 739 800 860 1031 1075 1376 1478 1720 1849 2062 2150 2956 3440 3695 3698 4124 4300 5155 5912 6880 7390 7396 8248 8600 9245 10310 11824 14780 14792 16496 17200 18475 18490 20620 23648 25775 29560 29584 31777 32992 34400 36950 36980 41240 44333 46225 51550 59120 59168 63554 73900 73960 79507 82480 88666 92450 103100 118240 127108 147800 147920 158885 159014 164960 177332 184900 206200 221665 254216 295600 295840 317770 318028 354664 369800 397535 412400 443330 508432 591200 635540 636056 709328 739600 761909 794425 795070 824800 886660 1016864 1108325 1271080 1272112 1366411 1418656 1479200 1523818 1588850 1590140 1773320 1906319 1987675 2216650 2542160 2544224 2732822 3047636 3177700 3180280 3546640 3809545 3812638 3975350 4433300 5084320 5465644 6095272 6355400 6360560 6832055 7093280 7619090 7625276 7950700 8866600 9531595 10931288 12190544 12710800 12721120 13664110 15238180 15250552 15901400 17733200 19047725 19063190 21862576 24381088 25421600 27328220 30476360 30501104 31802800 32762087 34160275 35466400 38095450 38126380 43725152 47657975 54656440 58755673 60952720 61002208 63605600 65524174 68320550 76190900 76252760 81971717 95315950 109312880 117511346 121905440 131048348 136641100 152381800 152505520 163810435 163943434 190631900 218625760 235022692 262096696 273282200 293778365 304763600 305011040 327620870 327886868 381263800 409858585 470045384 524193392 546564400 587556730 609527200 655241740 655773736 762527600 819052175 819717170 940090768 1048386784 1093128800 1175113460 1310483480 1311547472 1408769741 1468891825 1525055200 1638104350 1639434340 1880181536 2049292925 2350226920 2620966960 2623094944 2817539482 2937783650 3276208700 3278868680 4098585850 4700453840 5241933920 5635078964 5875567300 6552417400 6557737360 7043848705 8197171700 9400907680 11270157928 11751134600 13104834800 13115474720 14087697410 16394343400 22540315856 23502269200 26209669600 28175394820 32788686800 35219243525 45080631712 47004538400 56350789640 60577098863 65577373600 70438487050 112701579280 121154197726 140876974100 225403158560 242308395452 281753948200 302885494315 484616790904 563507896400 605770988630 969233581808 1127015792800 1211541977260 1514427471575 1938467163616 2423083954520 3028854943150 4846167909040 6057709886300 9692335818080 12115419772600 24230839545200 48461679090400
- Sum of all divisors σ(n): 121405417056000
- Sum of proper divisors (its aliquot sum) s(n): 72943737965600
- 48461679090400 is an abundant number, because the sum of its proper divisors (72943737965600) is greater than itself. Its abundance is 24482058875200
Bases of 48461679090400
- Binary: 10110000010011010111010010101011011010111000002
- Hexadecimal: 0x2C135D2ADAE0
- Base-36: H6EZKHJ34
Squares and roots of 48461679090400
- 48461679090400 squared (484616790904002) is 2348534340260912571372160000
- 48461679090400 cubed (484616790904003) is 113813917530508625640488703908683264000000
-
The
square root of 48461679090400 is 6961442.3139461553 -
The
cube root of 48461679090400 is 36458.5578534145
Scales and comparisons
How big is 48461679090400?- 48,461,679,090,400 seconds is equal to 1,540,931 years, 25 weeks, 4 days, 13 hours, 6 minutes, 40 seconds.
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To count from 1 to 48,461,679,090,400 would take you about three million, eight hundred fifty-two thousand, three hundred twenty-eight 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 48461679090400 cubic inches would be around 3038.2 feet tall.
Recreational maths with 48461679090400
- 48461679090400 backwards is 00409097616484
- The number of decimal digits it has is: 14
- The sum of 48461679090400's digits is 58
- More coming soon!
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