137327468960000
137,327,468,960,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 137327468960000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1440 divisors.
137327468960000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 137327468960000:
28 × 54 × 113 × 233 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 11 × 11 × 11 × 23 × 23 × 23 × 53)See below for interesting mathematical facts about the number 137327468960000 from the Numbermatics database.
Names of 137327468960000
- Cardinal: 137327468960000 can be written as One hundred thirty-seven trillion, three hundred twenty-seven billion, four hundred sixty-eight million, nine hundred sixty thousand.
Scientific notation
- Scientific notation: 1.3732746896 × 1014
Factors of 137327468960000
Divisors of 137327468960000
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 23 25 32 40 44 46 50 53 55 64 80 88 92 100 106 110 115 121 125 128 160 176 184 200 212 220 230 242 250 253 256 265 275 320 352 368 400 424 440 460 484 500 506 529 530 550 575 583 605 625 640 704 736 800 848 880 920 968 1000 1012 1058 1060 1100 1150 1166 1210 1219 1250 1265 1280 1325 1331 1375 1408 1472 1600 1696 1760 1840 1936 2000 2024 2116 2120 2200 2300 2332 2420 2438 2500 2530 2645 2650 2662 2750 2783 2816 2875 2915 2944 3025 3200 3392 3520 3680 3872 4000 4048 4232 4240 4400 4600 4664 4840 4876 5000 5060 5290 5300 5324 5500 5566 5750 5819 5830 5888 6050 6095 6325 6400 6413 6625 6655 6784 6875 7040 7360 7744 8000 8096 8464 8480 8800 9200 9328 9680 9752 10000 10120 10580 10600 10648 11000 11132 11500 11638 11660 12100 12167 12190 12650 12826 13225 13250 13310 13409 13568 13750 13915 14080 14375 14575 14720 15125 15488 16000 16192 16928 16960 17600 18400 18656 19360 19504 20000 20240 21160 21200 21296 22000 22264 23000 23276 23320 24200 24334 24380 25300 25652 26450 26500 26620 26818 27500 27830 28037 28750 29095 29150 29440 30250 30475 30613 30976 31625 32000 32065 32384 33125 33275 33856 33920 35200 36800 37312 38720 39008 40000 40480 42320 42400 42592 44000 44528 46000 46552 46640 48400 48668 48760 50600 51304 52900 53000 53240 53636 55000 55660 56074 57500 58190 58300 60500 60835 60950 61226 63250 64009 64130 64768 66125 66250 66550 67045 67712 67840 69575 70400 70543 72875 73600 74624 75625 77440 78016 80000 80960 84640 84800 85184 88000 89056 92000 93104 93280 96800 97336 97520 101200 102608 105800 106000 106480 107272 110000 111320 112148 115000 116380 116600 121000 121670 121900 122452 126500 128018 128260 132250 132500 133100 133837 134090 135424 139150 140185 141086 145475 145750 147200 147499 149248 151250 152375 153065 154880 156032 158125 160000 160325 161920 166375 169280 169600 170368 176000 178112 184000 186208 186560 193600 194672 195040 202400 205216 211600 212000 212960 214544 220000 222640 224296 230000 232760 233200 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49937261440 51588080000 51821686400 51919648000 54279632000 54930987584 56327920000 56746888000 58888280000 59707595200 62421576800 64777108000 64899560000 67849540000 68663734480 70933610000 74634494000 78026971000 80971385000 85829668100 93293117500 97533713750 99874522880 103176160000 103643372800 107287085125 108559264000 109861975168 112655840000 113493776000 117776560000 119415190400 124843153600 129554216000 129799120000 135699080000 137327468960 141867220000 149268988000 156053942000 161942770000 171659336200 186586235000 195067427500 214574170250 219723950336 226987552000 235553120000 238830380800 249686307200 259108432000 259598240000 271398160000 274654937920 283734440000 298537976000 312107884000 323885540000 343318672400 373172470000 390134855000 429148340500 499372614400 518216864000 536435425625 542796320000 549309875840 567468880000 597075952000 624215768000 647771080000 686637344800 746344940000 780269710000 858296681000 1072870851250 1098619751680 1134937760000 1194151904000 1248431536000 1295542160000 1373274689600 1492689880000 1560539420000 1716593362000 2145741702500 2496863072000 2591084320000 2746549379200 2985379760000 3121078840000 3433186724000 4291483405000 5493098758400 5970759520000 6242157680000 6866373448000 8582966810000 12484315360000 13732746896000 17165933620000 27465493792000 34331867240000 68663734480000 137327468960000
- Sum of all divisors σ(n): 401322844581120
- Sum of proper divisors (its aliquot sum) s(n): 263995375621120
- 137327468960000 is an abundant number, because the sum of its proper divisors (263995375621120) is greater than itself. Its abundance is 126667906661120
Bases of 137327468960000
- Binary: 111110011100110000010110000000101011001000000002
- Hexadecimal: 0x7CE60B015900
- Base-36: 1COFD9BTVK
Squares and roots of 137327468960000
- 137327468960000 squared (1373274689600002) is 18858833730959763481600000000
- 137327468960000 cubed (1373274689600003) is 2589835903810177910528365531136000000000000
-
The
square root of 137327468960000 is 11718680.3420863051 -
The
cube root of 137327468960000 is 51592.4088145641
Scales and comparisons
How big is 137327468960000?- 137,327,468,960,000 seconds is equal to 4,366,588 years, 38 weeks, 3 hours, 33 minutes, 20 seconds.
-
To count from 1 to 137,327,468,960,000 would take you about ten million, nine hundred sixteen thousand, four hundred seventy-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 137327468960000 cubic inches would be around 4299.4 feet tall.
Recreational maths with 137327468960000
- 137327468960000 backwards is 000069864723731
- The number of decimal digits it has is: 15
- The sum of 137327468960000's digits is 56
- More coming soon!
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The information we have on file for 137327468960000 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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