135125316304384000
135,125,316,304,384,000 is an even composite number composed of seven prime numbers multiplied together.
135125316304384000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, three hundred twenty-eight divisors.
Prime factorization of 135125316304384000:
212 × 53 × 73 × 61 × 181 × 227 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 61 × 181 × 227 × 307)See below for interesting mathematical facts about the number 135125316304384000 from the Numbermatics database.
Names of 135125316304384000
- Cardinal: 135125316304384000 can be written as One hundred thirty-five quadrillion, one hundred twenty-five trillion, three hundred sixteen billion, three hundred four million, three hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.35125316304384 × 1017
Factors of 135125316304384000
Divisors of 135125316304384000
- Number of divisors d(n): 3328
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 61 64 70 80 98 100 112 122 125 128 140 160 175 181 196 200 224 227 244 245 250 256 280 305 307 320 343 350 362 392 400 427 448 454 488 490 500 512 560 610 614 640 686 700 724 784 800 854 875 896 905 908 976 980 1000 1024 1120 1135 1220 1225 1228 1267 1280 1372 1400 1448 1525 1535 1568 1589 1600 1708 1715 1750 1792 1810 1816 1952 1960 2000 2048 2135 2149 2240 2270 2440 2450 2456 2534 2560 2744 2800 2896 2989 3050 3070 3136 3178 3200 3416 3430 3500 3584 3620 3632 3904 3920 4000 4096 4270 4298 4480 4525 4540 4880 4900 4912 5068 5120 5488 5600 5675 5792 5978 6100 6125 6140 6272 6335 6356 6400 6832 6860 7000 7168 7240 7264 7625 7675 7808 7840 7945 8000 8540 8575 8596 8869 8960 9050 9080 9760 9800 9824 10136 10240 10675 10745 10976 11041 11123 11200 11350 11584 11956 12200 12250 12280 12544 12670 12712 12800 13664 13720 13847 14000 14336 14480 14528 14945 15043 15250 15350 15616 15680 15890 16000 17080 17150 17192 17738 17920 18100 18160 18727 19520 19600 19648 20272 20480 20923 21350 21490 21952 22082 22246 22400 22625 22700 23168 23912 24400 24500 24560 25088 25340 25424 25600 27328 27440 27694 28000 28375 28672 28960 29056 29890 30086 30500 30700 31232 31360 31675 31780 32000 34160 34300 34384 35476 35840 36200 36320 37454 38375 39040 39200 39296 39725 40544 41087 41846 42700 42875 42980 43904 44164 44345 44492 44800 45250 45400 46336 47824 48800 49000 49120 50176 50680 50848 51200 53375 53725 54656 54880 55205 55388 55567 55615 56000 56750 57920 58112 59780 60172 61000 61400 62083 62464 62720 63350 63560 64000 68320 68600 68768 69235 69689 70952 71680 72400 72640 74725 74908 75215 76750 77287 77861 78080 78400 78592 79450 81088 82174 83692 85400 85750 85960 87808 88328 88690 88984 89600 90500 90800 92672 93635 95648 96929 97600 98000 98240 100352 101360 101696 102400 104615 105301 106750 107450 109312 109760 110410 110776 111134 111230 112000 113500 115840 116224 119560 120344 122000 122800 124166 124928 125440 126700 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69224034992000 74408213824000 74654870886400 75404752402000 77214466459648 78790271897600 79113182848000 84453322690240 85037958656000 86176859888000 88029522022400 88606764789760 93318588608000 96518083074560 98487839872000 105566653362800 106649815552000 110036902528000 110306380656640 110758455987200 119053142118400 120647603843200 131958316703500 135125316304384 137882975820800 138448069984000 148816427648000 149309741772800 150809504804000 154428932919296 158226365696000 168906645380480 172353719776000 186637177216000 193036166149120 196975679744000 211133306725600 220073805056000 221516911974400 241295207686400 263916633407000 270250632608768 275765951641600 276896139968000 297632855296000 301619009608000 316452731392000 337813290760960 344707439552000 373274354432000 386072332298240 393951359488000 422266613451200 440147610112000 443033823948800 482590415372800 527833266814000 540501265217536 551531903283200 553792279936000 595265710592000 603238019216000 675626581521920 689414879104000 746548708864000 772144664596480 844533226902400 965180830745600 1055666533628000 1081002530435072 1107584559872000 1206476038432000 1351253163043840 1378829758208000 1689066453804800 1930361661491200 2111333067256000 2215169119744000 2412952076864000 2702506326087680 2757659516416000 3378132907609600 3860723322982400 4222666134512000 4825904153728000 5405012652175360 6756265815219200 8445332269024000 9651808307456000 13512531630438400 16890664538048000 19303616614912000 27025063260876800 33781329076096000 67562658152192000 135125316304384000
- Sum of all divisors σ(n): 405014112837734400
- Sum of proper divisors (its aliquot sum) s(n): 269888796533350400
- 135125316304384000 is an abundant number, because the sum of its proper divisors (269888796533350400) is greater than itself. Its abundance is 134763480228966400
Bases of 135125316304384000
- Binary: 1111000000000111111000010010111100111110000110000000000002
- Hexadecimal: 0x1E00FC25E7C3000
- Base-36: 10YHXDCFCNB4
Squares and roots of 135125316304384000
- 135125316304384000 squared (1351253163043840002) is 18258851106359824463337619456000000
- 135125316304384000 cubed (1351253163043840003) is 2467233031101523025471255053128306056495104000000000
-
The
square root of 135125316304384000 is 367593955.7506135057 -
The
cube root of 135125316304384000 is 513151.4666658293
Scales and comparisons
How big is 135125316304384000?- 135,125,316,304,384,000 seconds is equal to 4,296,567,088 years, 22 weeks, 3 days, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 135,125,316,304,384,000 would take you about twelve billion, eight hundred eighty-nine million, seven hundred one thousand, two hundred sixty-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 135125316304384000 cubic inches would be around 42762.6 feet tall.
Recreational maths with 135125316304384000
- 135125316304384000 backwards is 000483403613521531
- 135125316304384000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 135125316304384000's digits is 49
- More coming soon!
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"Number 135125316304384000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 September 2024.
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Numbermatics. (2024). Number 135125316304384000 - Facts about the integer. Retrieved 25 September 2024, from https://numbermatics.com/n/135125316304384000/
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Numbermatics. 2024. "Number 135125316304384000 - Facts about the integer". https://numbermatics.com/n/135125316304384000/
The information we have on file for 135125316304384000 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 135125316304384000, math, Factors of 135125316304384000, curriculum, school, college, exams, university, Prime factorization of 135125316304384000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five quadrillion, one hundred twenty-five trillion, three hundred sixteen billion, three hundred four million, three hundred eighty-four thousand.