122968580308992000
122,968,580,308,992,000 is an even composite number composed of five prime numbers multiplied together.
122968580308992000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 122968580308992000:
217 × 33 × 53 × 113 × 4572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 457 × 457)See below for interesting mathematical facts about the number 122968580308992000 from the Numbermatics database.
Names of 122968580308992000
- Cardinal: 122968580308992000 can be written as One hundred twenty-two quadrillion, nine hundred sixty-eight trillion, five hundred eighty billion, three hundred eight million, nine hundred ninety-two thousand.
Scientific notation
- Scientific notation: 1.22968580308992 × 1017
Factors of 122968580308992000
Divisors of 122968580308992000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 64 66 72 75 80 88 90 96 99 100 108 110 120 121 125 128 132 135 144 150 160 165 176 180 192 198 200 216 220 225 240 242 250 256 264 270 275 288 297 300 320 330 352 360 363 375 384 396 400 432 440 450 457 480 484 495 500 512 528 540 550 576 594 600 605 640 660 675 704 720 726 750 768 792 800 825 864 880 900 914 960 968 990 1000 1024 1056 1080 1089 1100 1125 1152 1188 1200 1210 1280 1320 1331 1350 1371 1375 1408 1440 1452 1485 1500 1536 1584 1600 1650 1728 1760 1800 1815 1828 1920 1936 1980 2000 2048 2112 2160 2178 2200 2250 2285 2304 2376 2400 2420 2475 2560 2640 2662 2700 2742 2750 2816 2880 2904 2970 3000 3025 3072 3168 3200 3267 3300 3375 3456 3520 3600 3630 3656 3840 3872 3960 3993 4000 4096 4113 4125 4224 4320 4356 4400 4500 4570 4608 4752 4800 4840 4950 5027 5120 5280 5324 5400 5445 5484 5500 5632 5760 5808 5940 6000 6050 6144 6336 6400 6534 6600 6655 6750 6855 6912 7040 7200 7260 7312 7425 7680 7744 7920 7986 8000 8192 8226 8250 8448 8640 8712 8800 9000 9075 9140 9216 9504 9600 9680 9900 10054 10240 10560 10648 10800 10890 10968 11000 11264 11425 11520 11616 11880 11979 12000 12100 12288 12339 12375 12672 12800 13068 13200 13310 13500 13710 13824 14080 14400 14520 14624 14850 15081 15125 15360 15488 15840 15972 16000 16335 16384 16452 16500 16896 17280 17424 17600 18000 18150 18280 18432 19008 19200 19360 19800 19965 20108 20480 20565 21120 21296 21600 21780 21936 22000 22528 22850 23040 23232 23760 23958 24000 24200 24576 24678 24750 25135 25344 25600 26136 26400 26620 27000 27225 27420 27648 28160 28800 29040 29248 29700 30162 30250 30720 30976 31680 31944 32000 32670 32768 32904 33000 33275 33792 34275 34560 34848 35200 35937 36000 36300 36560 36864 37125 38016 38400 38720 39600 39930 40216 40960 41130 42240 42592 43200 43560 43872 44000 45056 45243 45375 45700 46080 46464 47520 47916 48000 48400 49152 49356 49500 50270 50688 51200 52272 52800 53240 54000 54450 54840 55296 55297 56320 57125 57600 58080 58496 59400 59895 60324 60500 61440 61695 61952 63360 63888 64000 65340 65536 65808 66000 66550 67584 68550 69120 69696 70400 71874 72000 72600 73120 73728 74250 75405 76032 76800 77440 79200 79860 80432 81675 81920 82260 84480 85184 86400 87120 87744 88000 90112 90486 90750 91400 92160 92928 95040 95832 96000 96800 98304 98712 99000 99825 100540 101376 102400 102825 104544 105600 106480 108000 108900 109680 110592 110594 112640 114250 115200 116160 116992 118800 119790 120648 121000 122880 123390 123904 125675 126720 127776 128000 130680 131072 131616 132000 133100 135168 135729 136125 137100 138240 139392 140800 143748 144000 145200 146240 147456 148500 150810 152064 153600 154880 158400 159720 160864 163350 163840 164520 165891 166375 168960 170368 171375 172800 174240 175488 176000 179685 180224 180972 181500 182800 184320 185856 190080 191664 192000 193600 196608 197424 198000 199650 201080 202752 204800 205650 208849 209088 211200 212960 216000 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983748642471936 1016269258752000 1024738169241600 1117896184627200 1138597965824000 1229685803089920 1242106871808000 1280922711552000 1366317558988800 1397370230784000 1537107253862400 1639581070786560 1707896948736000 1863160307712000 1921384067328000 2049476338483200 2235792369254400 2277195931648000 2459371606179840 2561845423104000 2732635117977600 2794740461568000 3074214507724800 3415793897472000 3726320615424000 3842768134656000 4098952676966400 4554391863296000 4918743212359680 5123690846208000 5589480923136000 6148429015449600 6831587794944000 7685536269312000 8197905353932800 10247381692416000 11178961846272000 12296858030899200 13663175589888000 15371072538624000 20494763384832000 24593716061798400 30742145077248000 40989526769664000 61484290154496000 122968580308992000
- Sum of all divisors σ(n): 501242265981999360
- Sum of proper divisors (its aliquot sum) s(n): 378273685673007360
- 122968580308992000 is an abundant number, because the sum of its proper divisors (378273685673007360) is greater than itself. Its abundance is 255305105364015360
Bases of 122968580308992000
- Binary: 1101101001101111101000101101100111101101000000000000000002
- Hexadecimal: 0x1B4DF45B3DA0000
- Base-36: XMSQ1XDBEO0
Squares and roots of 122968580308992000
- 122968580308992000 squared (1229685803089920002) is 15121271743209015038196056064000000
- 122968580308992000 cubed (1229685803089920003) is 1859441318728889220923254750472744875327488000000000
-
The
square root of 122968580308992000 is 350668761.5243080073 -
The
cube root of 122968580308992000 is 497276.6338974009
Scales and comparisons
How big is 122968580308992000?- 122,968,580,308,992,000 seconds is equal to 3,910,020,487 years, 1 week, 5 days.
-
To count from 1 to 122,968,580,308,992,000 would take you about eleven billion, seven hundred thirty million, sixty-one thousand, four hundred sixty-one 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 122968580308992000 cubic inches would be around 41439.7 feet tall.
Recreational maths with 122968580308992000
- 122968580308992000 backwards is 000299803085869221
- 122968580308992000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 122968580308992000's digits is 72
- More coming soon!
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"Number 122968580308992000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 May 2024.
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Numbermatics. (2024). Number 122968580308992000 - Facts about the integer. Retrieved 23 May 2024, from https://numbermatics.com/n/122968580308992000/
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The information we have on file for 122968580308992000 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 122968580308992000, math, Factors of 122968580308992000, curriculum, school, college, exams, university, Prime factorization of 122968580308992000, STEM, science, technology, engineering, physics, economics, calculator, one hundred twenty-two quadrillion, nine hundred sixty-eight trillion, five hundred eighty billion, three hundred eight million, nine hundred ninety-two thousand.