137428564364492800
137,428,564,364,492,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 137428564364492800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2016 divisors.
137428564364492800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 137428564364492800:
220 × 52 × 73 × 31 × 793
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 31 × 79 × 79 × 79)See below for interesting mathematical facts about the number 137428564364492800 from the Numbermatics database.
Names of 137428564364492800
- Cardinal: 137428564364492800 can be written as One hundred thirty-seven quadrillion, four hundred twenty-eight trillion, five hundred sixty-four billion, three hundred sixty-four million, four hundred ninety-two thousand, eight hundred.
Scientific notation
- Scientific notation: 1.374285643644928 × 1017
Factors of 137428564364492800
Divisors of 137428564364492800
- Number of divisors d(n): 2016
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 49 50 56 62 64 70 79 80 98 100 112 124 128 140 155 158 160 175 196 200 217 224 245 248 256 280 310 316 320 343 350 392 395 400 434 448 490 496 512 553 560 620 632 640 686 700 775 784 790 800 868 896 980 992 1024 1085 1106 1120 1225 1240 1264 1280 1372 1400 1519 1550 1568 1580 1600 1715 1736 1792 1960 1975 1984 2048 2170 2212 2240 2449 2450 2480 2528 2560 2744 2765 2800 3038 3100 3136 3160 3200 3430 3472 3584 3871 3920 3950 3968 4096 4340 4424 4480 4898 4900 4960 5056 5120 5425 5488 5530 5600 6076 6200 6241 6272 6320 6400 6860 6944 7168 7595 7742 7840 7900 7936 8192 8575 8680 8848 8960 9796 9800 9920 10112 10240 10633 10850 10976 11060 11200 12152 12245 12400 12482 12544 12640 12800 13720 13825 13888 14336 15190 15484 15680 15800 15872 16384 17143 17150 17360 17696 17920 19355 19592 19600 19840 20224 20480 21266 21700 21952 22120 22400 24304 24490 24800 24964 25088 25280 25600 27097 27440 27650 27776 28672 30380 30968 31205 31360 31600 31744 32768 34286 34300 34720 35392 35840 37975 38710 39184 39200 39680 40448 40960 42532 43400 43687 43904 44240 44800 48608 48980 49600 49928 50176 50560 51200 53165 54194 54880 55300 55552 57344 60760 61225 61936 62410 62720 63200 63488 65536 68572 68600 69440 70784 71680 75950 77420 78368 78400 79360 80896 81920 85064 85715 86800 87374 87808 88480 89600 96775 97216 97960 99200 99856 100352 101120 102400 106330 108388 109760 110600 111104 114688 120001 121520 122450 123872 124820 125440 126400 126976 131072 135485 137144 137200 138880 141568 143360 151900 154840 156025 156736 156800 158720 161792 163840 170128 171430 173600 174748 175616 176960 179200 193471 193550 194432 195920 198400 199712 200704 202240 204800 212660 216776 218435 219520 221200 222208 229376 240002 243040 244900 247744 249640 250880 252800 253952 262144 265825 270970 274288 274400 277760 283136 286720 303800 305809 309680 312050 313472 313600 317440 323584 327680 340256 342860 347200 349496 351232 353920 358400 386942 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14023322894336 14029049036800 15338009415680 15532161433600 15832783912960 16026654736384 16775947798400 17317107404800 17396020805632 17529153617920 17751041638400 18094610186240 19172511769600 19790979891200 20033318420480 21473213181952 21745026007040 21911442022400 22020279500800 22165897478144 22618262732800 24540815065088 24851458293760 25041648025600 25332454260736 26841516477440 27181282508800 27707371847680 28046645788672 28058098073600 30676018831360 31064322867200 31665567825920 33551895596800 34634214809600 34792041611264 35058307235840 35502083276800 38345023539200 39581959782400 40066636840960 42946426363904 43490052014080 43822884044800 44331794956288 45236525465600 49081630130176 49702916587520 50083296051200 53683032954880 54362565017600 55414743695360 56093291577344 56116196147200 61352037662720 62128645734400 63331135651840 67103791193600 69268429619200 69584083222528 70116614471680 76690047078400 79163919564800 80133273681920 85892852727808 86980104028160 87645768089600 88663589912576 90473050931200 98163260260352 100166592102400 107366065909760 108725130035200 110829487390720 112186583154688 122704075325440 124257291468800 126662271303680 134207582387200 138536859238400 140233228943360 153380094156800 158327839129600 171785705455616 173960208056320 175291536179200 177327179825152 196326520520704 200333184204800 214732131819520 217450260070400 221658974781440 245408150650880 248514582937600 268415164774400 277073718476800 280466457886720 306760188313600 316655678259200 343571410911232 347920416112640 350583072358400 392653041041408 400666368409600 429464263639040 434900520140800 443317949562880 490816301301760 536830329548800 554147436953600 560932915773440 613520376627200 633311356518400 687142821822464 701166144716800 785306082082816 858928527278080 869801040281600 886635899125760 981632602603520 1073660659097600 1108294873907200 1227040753254400 1374285643644928 1402332289433600 1717857054556160 1739602080563200 1963265205207040 2147321318195200 2216589747814400 2454081506508800 2748571287289856 2804664578867200 3435714109112320 3926530410414080 4294642636390400 4433179495628800 4908163013017600 5497142574579712 6871428218224640 8589285272780800 9816326026035200 13742856436449280 17178570545561600 19632652052070400 27485712872898560 34357141091123200 68714282182246400 137428564364492800
- Sum of all divisors σ(n): 415542182709248000
- Sum of proper divisors (its aliquot sum) s(n): 278113618344755200
- 137428564364492800 is an abundant number, because the sum of its proper divisors (278113618344755200) is greater than itself. Its abundance is 140685053980262400
Bases of 137428564364492800
- Binary: 1111010000011111010001101000110001111000000000000000000002
- Hexadecimal: 0x1E83E8D18F00000
- Base-36: 11L6CYWA8JR4
Squares and roots of 137428564364492800
- 137428564364492800 squared (1374285643644928002) is 18886610303285540317533401251840000
- 137428564364492800 cubed (1374285643644928003) is 2595559739692169759756115145926812073566666752000000
-
The
square root of 137428564364492800 is 370713588.0494439067 -
The
cube root of 137428564364492800 is 516050.6585037897
Scales and comparisons
How big is 137428564364492800?- 137,428,564,364,492,800 seconds is equal to 4,369,803,252 years, 17 weeks, 1 day, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 137,428,564,364,492,800 would take you about thirteen billion, one hundred nine million, four hundred nine thousand, seven hundred fifty-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 137428564364492800 cubic inches would be around 43004.2 feet tall.
Recreational maths with 137428564364492800
- 137428564364492800 backwards is 008294463465824731
- The number of decimal digits it has is: 18
- The sum of 137428564364492800's digits is 76
- More coming soon!
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The information we have on file for 137428564364492800 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!
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