138075363013632000
138,075,363,013,632,000 is an even composite number composed of six prime numbers multiplied together.
138075363013632000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, five hundred eighty-four divisors.
Prime factorization of 138075363013632000:
213 × 3 × 53 × 113 × 37 × 973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 37 × 97 × 97 × 97)See below for interesting mathematical facts about the number 138075363013632000 from the Numbermatics database.
Names of 138075363013632000
- Cardinal: 138075363013632000 can be written as One hundred thirty-eight quadrillion, seventy-five trillion, three hundred sixty-three billion, thirteen million, six hundred thirty-two thousand.
Scientific notation
- Scientific notation: 1.38075363013632 × 1017
Factors of 138075363013632000
Divisors of 138075363013632000
- Number of divisors d(n): 3584
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 37 40 44 48 50 55 60 64 66 74 75 80 88 96 97 100 110 111 120 121 125 128 132 148 150 160 165 176 185 192 194 200 220 222 240 242 250 256 264 275 291 296 300 320 330 352 363 370 375 384 388 400 407 440 444 480 484 485 500 512 528 550 555 582 592 600 605 640 660 704 726 740 750 768 776 800 814 825 880 888 925 960 968 970 1000 1024 1056 1067 1100 1110 1164 1184 1200 1210 1221 1280 1320 1331 1375 1408 1452 1455 1480 1500 1536 1552 1600 1628 1650 1760 1776 1815 1850 1920 1936 1940 2000 2035 2048 2112 2134 2200 2220 2328 2368 2400 2420 2425 2442 2560 2640 2662 2750 2775 2816 2904 2910 2960 3000 3025 3072 3104 3200 3201 3256 3300 3520 3552 3589 3630 3700 3840 3872 3880 3993 4000 4070 4096 4125 4224 4268 4400 4440 4477 4625 4656 4736 4800 4840 4850 4884 5120 5280 5324 5335 5500 5550 5632 5808 5820 5920 6000 6050 6105 6144 6208 6400 6402 6512 6600 6655 7040 7104 7178 7260 7275 7400 7680 7744 7760 7986 8000 8140 8192 8250 8448 8536 8800 8880 8954 9075 9250 9312 9409 9472 9600 9680 9700 9768 10175 10240 10560 10648 10670 10767 11000 11100 11264 11616 11640 11737 11840 12000 12100 12125 12210 12288 12416 12800 12804 13024 13200 13310 13431 13875 14080 14208 14356 14520 14550 14800 15125 15360 15488 15520 15972 16000 16005 16280 16500 16896 17072 17600 17760 17908 17945 18150 18500 18624 18818 18944 19200 19360 19400 19536 19965 20350 20480 21120 21296 21340 21534 22000 22200 22385 22528 23232 23280 23474 23680 24000 24200 24250 24420 24576 24832 25600 25608 26048 26400 26620 26675 26862 27750 28160 28227 28416 28712 29040 29100 29600 30250 30525 30720 30976 31040 31944 32000 32010 32560 33000 33275 33792 34144 35200 35211 35520 35816 35890 36300 36375 37000 37248 37636 37888 38400 38720 38800 39072 39479 39930 40700 40960 42240 42592 42680 43068 44000 44400 44770 45056 45375 46464 46560 46948 47045 47360 48000 48400 48500 48840 49247 49664 50875 51200 51216 52096 52800 53240 53350 53724 53835 55500 56320 56454 56832 57424 58080 58200 58685 59200 60500 61050 61440 61952 62080 63888 64000 64020 65120 66000 66550 67155 67584 68288 70400 70422 71040 71632 71780 72600 72750 74000 74496 75272 75776 76800 77440 77600 78144 78958 79860 80025 81400 84480 85184 85360 86136 88000 88800 89540 89725 90112 90750 92928 93120 93896 94090 94720 96000 96800 97000 97680 98494 99328 99825 101750 102400 102432 103499 104192 105600 106480 106700 107448 107670 111000 111925 112640 112908 113664 114848 116160 116400 117370 118400 118437 121000 122100 122880 123904 124160 127776 128000 128040 129107 130240 132000 133100 133375 134310 135168 136576 140800 140844 141135 142080 143264 143560 145200 145500 147741 148000 148992 150544 151552 152625 153600 154880 155200 156288 157916 159720 160050 162800 166375 168960 170368 170720 172272 176000 176055 177600 179080 179450 181500 185856 186240 187792 188180 189440 192000 193600 194000 195360 196988 197395 198656 199650 203500 204800 204864 206998 208384 211200 212960 213400 214896 215340 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345188407534080 355864337664000 359571257848000 368200968036352 373176656793600 380372900864000 392259554016000 418410190950400 431485509417600 460251210045440 466470820992000 474485783552000 502092229140480 523012738688000 539356886772000 552301452054528 570559351296000 575314012556800 621961094656000 627615286425600 690376815068160 711728675328000 719142515696000 746353313587200 784519108032000 836820381900800 862971018835200 920502420090880 932941641984000 1046025477376000 1078713773544000 1104602904109056 1141118702592000 1150628025113600 1243922189312000 1255230572851200 1380753630136320 1423457350656000 1438285031392000 1569038216064000 1725942037670400 1841004840181760 1865883283968000 2092050954752000 2157427547088000 2301256050227200 2510461145702400 2761507260272640 2876570062784000 3138076432128000 3451884075340800 3731766567936000 4184101909504000 4314855094176000 4602512100454400 5523014520545280 5753140125568000 6276152864256000 6903768150681600 8629710188352000 9205024200908800 11506280251136000 12552305728512000 13807536301363200 17259420376704000 23012560502272000 27615072602726400 34518840753408000 46025121004544000 69037681506816000 138075363013632000
- Sum of all divisors σ(n): 524467273238737920
- Sum of proper divisors (its aliquot sum) s(n): 386391910225105920
- 138075363013632000 is an abundant number, because the sum of its proper divisors (386391910225105920) is greater than itself. Its abundance is 248316547211473920
Bases of 138075363013632000
- Binary: 1111010101000101011001111101001001010100100100000000000002
- Hexadecimal: 0x1EA8ACFA4A92000
- Base-36: 11RJMQ3E36YO
Squares and roots of 138075363013632000
- 138075363013632000 squared (1380753630136320002) is 19064805871346255697017831424000000
- 138075363013632000 cubed (1380753630136320003) is 2632379991470556987694747249003353989971968000000000
-
The
square root of 138075363013632000 is 371584933.7818098351 -
The
cube root of 138075363013632000 is 516858.9780741879
Scales and comparisons
How big is 138075363013632000?- 138,075,363,013,632,000 seconds is equal to 4,390,369,448 years, 36 weeks, 10 hours, 40 minutes.
-
To count from 1 to 138,075,363,013,632,000 would take you about thirteen billion, one hundred seventy-one million, one hundred eight thousand, three hundred forty-six 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 138075363013632000 cubic inches would be around 43071.6 feet tall.
Recreational maths with 138075363013632000
- 138075363013632000 backwards is 000236310363570831
- The number of decimal digits it has is: 18
- The sum of 138075363013632000's digits is 51
- More coming soon!
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"Number 138075363013632000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 138075363013632000 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/138075363013632000/
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The information we have on file for 138075363013632000 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 138075363013632000, math, Factors of 138075363013632000, curriculum, school, college, exams, university, Prime factorization of 138075363013632000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, seventy-five trillion, three hundred sixty-three billion, thirteen million, six hundred thirty-two thousand.