137121264000
137,121,264,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 137121264000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 384 divisors.
137121264000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 137121264000:
27 × 32 × 53 × 7 × 136033
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 136033)See below for interesting mathematical facts about the number 137121264000 from the Numbermatics database.
Names of 137121264000
- Cardinal: 137121264000 can be written as One hundred thirty-seven billion, one hundred twenty-one million, two hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.37121264 × 1011
Factors of 137121264000
Divisors of 137121264000
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 50 56 60 63 64 70 72 75 80 84 90 96 100 105 112 120 125 126 128 140 144 150 160 168 175 180 192 200 210 224 225 240 250 252 280 288 300 315 320 336 350 360 375 384 400 420 448 450 480 500 504 525 560 576 600 630 640 672 700 720 750 800 840 875 896 900 960 1000 1008 1050 1120 1125 1152 1200 1260 1344 1400 1440 1500 1575 1600 1680 1750 1800 1920 2000 2016 2100 2240 2250 2400 2520 2625 2688 2800 2880 3000 3150 3200 3360 3500 3600 4000 4032 4200 4480 4500 4800 5040 5250 5600 5760 6000 6300 6720 7000 7200 7875 8000 8064 8400 9000 9600 10080 10500 11200 12000 12600 13440 14000 14400 15750 16000 16800 18000 20160 21000 22400 24000 25200 28000 28800 31500 33600 36000 40320 42000 48000 50400 56000 63000 67200 72000 84000 100800 112000 126000 136033 144000 168000 201600 252000 272066 336000 408099 504000 544132 680165 816198 952231 1008000 1088264 1224297 1360330 1632396 1904462 2040495 2176528 2448594 2720660 2856693 3264792 3400825 3808924 4080990 4353056 4761155 4897188 5441320 5713386 6121485 6529584 6801650 7617848 8161980 8570079 8706112 9522310 9794376 10202475 10882640 11426772 12242970 13059168 13603300 14283465 15235696 16323960 17004125 17140158 17412224 19044620 19588752 20404950 21765280 22853544 23805775 24485940 26118336 27206600 28566930 30471392 30607425 32647920 34008250 34280316 38089240 39177504 40809900 42850395 43530560 45707088 47611550 48971880 51012375 52236672 54413200 57133860 60942784 61214850 65295840 68016500 68560632 71417325 76178480 78355008 81619800 85700790 87061120 91414176 95223100 97943760 102024750 108826400 114267720 119028875 121885568 122429700 130591680 136033000 137121264 142834650 152356960 153037125 156710016 163239600 171401580 182828352 190446200 195887520 204049500 214251975 217652800 228535440 238057750 244859400 261183360 272066000 274242528 285669300 304713920 306074250 326479200 342803160 357086625 365656704 380892400 391775040 408099000 428503950 435305600 457070880 476115500 489718800 544132000 548485056 571338600 609427840 612148500 652958400 685606320 714173250 761784800 783550080 816198000 857007900 914141760 952231000 979437600 1071259875 1088264000 1096970112 1142677200 1224297000 1305916800 1371212640 1428346500 1523569600 1632396000 1714015800 1828283520 1904462000 1958875200 2142519750 2176528000 2285354400 2448594000 2742425280 2856693000 3047139200 3264792000 3428031600 3808924000 3917750400 4285039500 4570708800 4897188000 5484850560 5713386000 6529584000 6856063200 7617848000 8570079000 9141417600 9794376000 11426772000 13712126400 15235696000 17140158000 19588752000 22853544000 27424252800 34280316000 45707088000 68560632000 137121264000
- Sum of all divisors σ(n): 562788982080
- Sum of proper divisors (its aliquot sum) s(n): 425667718080
- 137121264000 is an abundant number, because the sum of its proper divisors (425667718080) is greater than itself. Its abundance is 288546454080
Bases of 137121264000
- Binary: 11111111011010001000001110001100000002
- Hexadecimal: 0x1FED107180
- Base-36: 1QZQGKG0
Squares and roots of 137121264000
- 137121264000 squared (1371212640002) is 18802241040957696000000
- 137121264000 cubed (1371212640003) is 2578187057568795046047744000000000
-
The
square root of 137121264000 is 370298.8846864111 -
The
cube root of 137121264000 is 5156.6572905823
Scales and comparisons
How big is 137121264000?- 137,121,264,000 seconds is equal to 4,360 years, 1 week, 4 days, 16 hours.
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To count from 1 to 137,121,264,000 would take you about eight thousand, seven hundred twenty 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 137121264000 cubic inches would be around 429.7 feet tall.
Recreational maths with 137121264000
- 137121264000 backwards is 000462121731
- The number of decimal digits it has is: 12
- The sum of 137121264000's digits is 27
- More coming soon!
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