137320628224000
137,320,628,224,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 137320628224000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 912 divisors.
137320628224000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred twelve divisors.
Prime factorization of 137320628224000:
218 × 53 × 132 × 137 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 13 × 137 × 181)See below for interesting mathematical facts about the number 137320628224000 from the Numbermatics database.
Names of 137320628224000
- Cardinal: 137320628224000 can be written as One hundred thirty-seven trillion, three hundred twenty billion, six hundred twenty-eight million, two hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.37320628224 × 1014
Factors of 137320628224000
Divisors of 137320628224000
- Number of divisors d(n): 912
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 137 160 169 181 200 208 250 256 260 274 320 325 338 362 400 416 500 512 520 548 640 650 676 685 724 800 832 845 905 1000 1024 1040 1096 1280 1300 1352 1370 1448 1600 1625 1664 1690 1781 1810 2000 2048 2080 2192 2353 2560 2600 2704 2740 2896 3200 3250 3328 3380 3425 3562 3620 4000 4096 4160 4225 4384 4525 4706 5120 5200 5408 5480 5792 6400 6500 6656 6760 6850 7124 7240 8000 8192 8320 8450 8768 8905 9050 9412 10240 10400 10816 10960 11584 11765 12800 13000 13312 13520 13700 14248 14480 16000 16384 16640 16900 17125 17536 17810 18100 18824 20480 20800 21125 21632 21920 22625 23153 23168 23530 24797 25600 26000 26624 27040 27400 28496 28960 30589 32000 32768 33280 33800 34250 35072 35620 36200 37648 40960 41600 42250 43264 43840 44525 45250 46306 46336 47060 49594 51200 52000 53248 54080 54800 56992 57920 58825 61178 64000 65536 66560 67600 68500 70144 71240 72400 75296 81920 83200 84500 86528 87680 89050 90500 92612 92672 94120 99188 102400 104000 106496 108160 109600 113984 115765 115840 117650 122356 123985 128000 131072 133120 135200 137000 140288 142480 144800 150592 152945 163840 166400 169000 173056 175360 178100 181000 185224 185344 188240 198376 204800 208000 212992 216320 219200 222625 227968 231530 231680 235300 244712 247970 256000 262144 266240 270400 274000 280576 284960 289600 294125 301184 305890 322361 327680 332800 338000 346112 350720 356200 362000 370448 370688 376480 396752 409600 416000 425984 432640 438400 445250 455936 463060 463360 470600 489424 495940 512000 532480 540800 548000 561152 569920 578825 579200 588250 602368 611780 619925 644722 655360 665600 676000 692224 701440 712400 724000 740896 741376 752960 764725 793504 819200 832000 851968 865280 876800 890500 911872 926120 926720 941200 978848 991880 1024000 1064960 1081600 1096000 1122304 1139840 1157650 1158400 1176500 1204736 1223560 1239850 1289444 1310720 1331200 1352000 1384448 1402880 1424800 1448000 1481792 1482752 1505920 1529450 1587008 1611805 1638400 1664000 1703936 1730560 1753600 1781000 1823744 1852240 1853440 1882400 1957696 1983760 2048000 2129920 2163200 2192000 2244608 2279680 2315300 2316800 2353000 2409472 2447120 2479700 2578888 2662400 2704000 2768896 2805760 2849600 2894125 2896000 2963584 2965504 3011840 3058900 3099625 3174016 3223610 3276800 3328000 3407872 3461120 3507200 3562000 3647488 3704480 3706880 3764800 3823625 3915392 3967520 4096000 4190693 4259840 4326400 4384000 4489216 4559360 4630600 4633600 4706000 4818944 4894240 4959400 5157776 5324800 5408000 5537792 5611520 5699200 5788250 5792000 5927168 5931008 6023680 6117800 6199250 6348032 6447220 6553600 6656000 6922240 7014400 7124000 7294976 7408960 7413760 7529600 7647250 7830784 7935040 8059025 8192000 8381386 8519680 8652800 8768000 8978432 9118720 9261200 9267200 9412000 9637888 9788480 9918800 10315552 10649600 10816000 11075584 11223040 11398400 11576500 11584000 11854336 11862016 12047360 12235600 12398500 12696064 12894440 13312000 13844480 14028800 14248000 14589952 14817920 14827520 15059200 15294500 15661568 15870080 16118050 16384000 16762772 17039360 17305600 17536000 17956864 18237440 18522400 18534400 18824000 19275776 19576960 19837600 20631104 20953465 21299200 21632000 22151168 22446080 22796800 23153000 23168000 23708672 23724032 24094720 24471200 24797000 25392128 25788880 26624000 27688960 28057600 28496000 29179904 29635840 29655040 30118400 30589000 31323136 31740160 32236100 32768000 33525544 34611200 35072000 35913728 36474880 37044800 37068800 37648000 38551552 39153920 39675200 40295125 41262208 41906930 42598400 43264000 44302336 44892160 45593600 46306000 46336000 47417344 47448064 48189440 48942400 49594000 50784256 51577760 53248000 55377920 56115200 56992000 58359808 59271680 59310080 60236800 61178000 62646272 63480320 64472200 67051088 69222400 70144000 72949760 74089600 74137600 75296000 77103104 78307840 79350400 80590250 82524416 83813860 85196800 86528000 89784320 91187200 92612000 92672000 94834688 96378880 97884800 99188000 101568512 103155520 104767325 106496000 110755840 112230400 113984000 116719616 118543360 118620160 120473600 122356000 125292544 126960640 128944400 134102176 138444800 140288000 145899520 148179200 148275200 150592000 154206208 156615680 158700800 161180500 165048832 167627720 173056000 179568640 182374400 185224000 185344000 189669376 192757760 195769600 198376000 203137024 206311040 209534650 212992000 221511680 224460800 227968000 233439232 237086720 237240320 240947200 244712000 250585088 253921280 257888800 268204352 276889600 280576000 291799040 296358400 296550400 301184000 308412416 313231360 317401600 322361000 330097664 335255440 346112000 364748800 370448000 370688000 379338752 385515520 391539200 396752000 406274048 412622080 419069300 425984000 448921600 455936000 466878464 474173440 481894400 489424000 501170176 507842560 515777600 523836625 536408704 553779200 561152000 583598080 592716800 593100800 602368000 616824832 626462720 634803200 644722000 660195328 670510880 692224000 729497600 740896000 741376000 758677504 771031040 783078400 793504000 812548096 825244160 838138600 897843200 911872000 948346880 963788800 978848000 1002340352 1015685120 1031555200 1047673250 1072817408 1107558400 1122304000 1167196160 1185433600 1186201600 1204736000 1252925440 1269606400 1289444000 1320390656 1341021760 1384448000 1458995200 1481792000 1482752000 1517355008 1542062080 1566156800 1587008000 1625096192 1650488320 1676277200 1823744000 1896693760 1927577600 1957696000 2004680704 2031370240 2063110400 2095346500 2145634816 2244608000 2334392320 2370867200 2409472000 2505850880 2539212800 2578888000 2640781312 2682043520 2768896000 2917990400 2963584000 2965504000 3034710016 3084124160 3132313600 3174016000 3250192384 3300976640 3352554400 3647488000 3793387520 3855155200 3915392000 4009361408 4062740480 4126220800 4190693000 4291269632 4489216000 4741734400 4818944000 5011701760 5078425600 5157776000 5281562624 5364087040 5537792000 5835980800 5927168000 5931008000 6069420032 6264627200 6348032000 6500384768 6601953280 6705108800 7294976000 7586775040 7710310400 7830784000 8018722816 8125480960 8252441600 8381386000 8582539264 9483468800 9637888000 10023403520 10156851200 10315552000 10563125248 10728174080 11671961600 11854336000 12529254400 12696064000 13203906560 13410217600 14589952000 15173550080 15420620800 15661568000 16250961920 16504883200 16762772000 17165078528 18966937600 19275776000 20046807040 20313702400 20631104000 21126250496 21456348160 23708672000 25058508800 25392128000 26407813120 26820435200 29179904000 30347100160 31323136000 32501923840 33009766400 33525544000 34330157056 37933875200 38551552000 40093614080 40627404800 41262208000 42252500992 42912696320 47417344000 50117017600 50784256000 52815626240 53640870400 58359808000 62646272000 66019532800 67051088000 68660314112 75867750400 77103104000 81254809600 82524416000 84505001984 85825392640 94834688000 100234035200 101568512000 105631252480 107281740800 125292544000 132039065600 134102176000 137320628224 151735500800 162509619200 165048832000 171650785280 189669376000 200468070400 203137024000 211262504960 214563481600 250585088000 264078131200 268204352000 274641256448 330097664000 343301570560 379338752000 406274048000 422525009920 429126963200 501170176000 528156262400 536408704000 549282512896 660195328000 686603141120 758677504000 812548096000 858253926400 1002340352000 1056312524800 1072817408000 1098565025792 1320390656000 1373206282240 1716507852800 2112625049600 2145634816000 2640781312000 2746412564480 3433015705600 4291269632000 5281562624000 5492825128960 6866031411200 8582539264000 10563125248000 13732062822400 17165078528000 27464125644800 34330157056000 68660314112000 137320628224000
- Sum of all divisors σ(n): 375919843952016
- Sum of proper divisors (its aliquot sum) s(n): 238599215728016
- 137320628224000 is an abundant number, because the sum of its proper divisors (238599215728016) is greater than itself. Its abundance is 101278587504016
Bases of 137320628224000
- Binary: 111110011100100011100110100010000000000000000002
- Hexadecimal: 0x7CE473440000
- Base-36: 1COC84J474
Squares and roots of 137320628224000
- 137320628224000 squared (1373206282240002) is 18856954935834025394176000000
- 137320628224000 cubed (1373206282240003) is 2589448898180385976523017550823424000000000
-
The
square root of 137320628224000 is 11718388.4653138207 -
The
cube root of 137320628224000 is 51591.5521374275
Scales and comparisons
How big is 137320628224000?- 137,320,628,224,000 seconds is equal to 4,366,371 years, 11 weeks, 1 day, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 137,320,628,224,000 would take you about ten million, nine hundred fifteen thousand, nine 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 137320628224000 cubic inches would be around 4299.3 feet tall.
Recreational maths with 137320628224000
- 137320628224000 backwards is 000422826023731
- 137320628224000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137320628224000's digits is 40
- More coming soon!
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The information we have on file for 137320628224000 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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