137046128128
137,046,128,128 is an even composite number composed of six prime numbers multiplied together.
What does the number 137046128128 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 320 divisors.
137046128128 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 137046128128:
29 × 7 × 13 × 19 × 149 × 1039
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 13 × 19 × 149 × 1039)See below for interesting mathematical facts about the number 137046128128 from the Numbermatics database.
Names of 137046128128
- Cardinal: 137046128128 can be written as One hundred thirty-seven billion, forty-six million, one hundred twenty-eight thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.37046128128 × 1011
Factors of 137046128128
Divisors of 137046128128
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 64 76 91 104 112 128 133 149 152 182 208 224 247 256 266 298 304 364 416 448 494 512 532 596 608 728 832 896 988 1039 1043 1064 1192 1216 1456 1664 1729 1792 1937 1976 2078 2086 2128 2384 2432 2831 2912 3328 3458 3584 3874 3952 4156 4172 4256 4768 4864 5662 5824 6656 6916 7273 7748 7904 8312 8344 8512 9536 9728 11324 11648 13507 13559 13832 14546 15496 15808 16624 16688 17024 19072 19741 19817 22648 23296 27014 27118 27664 29092 30992 31616 33248 33376 34048 36803 38144 39482 39634 45296 46592 54028 54236 55328 58184 61984 63232 66496 66752 68096 73606 76288 78964 79268 90592 94549 108056 108472 110656 116368 123968 126464 132992 133504 138187 147212 154811 157928 158536 181184 189098 216112 216944 221312 232736 247936 256633 257621 265984 267008 276374 294424 309622 315856 317072 362368 378196 432224 433888 442624 465472 495872 513266 515242 531968 534016 552748 588848 619244 631712 634144 724736 756392 864448 867776 885248 930944 991744 1026532 1030484 1083677 1105496 1177696 1238488 1263424 1268288 1449472 1512784 1728896 1735552 1796431 1861888 2012543 2053064 2060968 2167354 2210992 2355392 2476976 2526848 2536576 2941409 3025568 3457792 3471104 3592862 3723776 4025086 4106128 4121936 4334708 4421984 4710784 4953952 5053696 5073152 5882818 6051136 6915584 6942208 7185724 8050172 8212256 8243872 8669416 8843968 9421568 9907904 10107392 10146304 11765636 12102272 14087801 14371448 16100344 16424512 16487744 17338832 17687936 18843136 19815808 20589863 23531272 24204544 28175602 28742896 32200688 32849024 32975488 34677664 35375872 38238317 39631616 41179726 47062544 48409088 56351204 57485792 64401376 65698048 65950976 69355328 70751744 76476634 79263232 82359452 94125088 112702408 114971584 128802752 131396096 131901952 138710656 152953268 164718904 188250176 225404816 229943168 257605504 267668219 277421312 305906536 329437808 376500352 450809632 459886336 515211008 535336438 554842624 611813072 658875616 753000704 901619264 919772672 1030422016 1070672876 1223626144 1317751232 1506001408 1803238528 2141345752 2447252288 2635502464 3606477056 4282691504 4894504576 5271004928 7212954112 8565383008 9789009152 10542009856 17130766016 19578018304 34261532032 68523064064 137046128128
- Sum of all divisors σ(n): 357477120000
- Sum of proper divisors (its aliquot sum) s(n): 220430991872
- 137046128128 is an abundant number, because the sum of its proper divisors (220430991872) is greater than itself. Its abundance is 83384863744
Bases of 137046128128
- Binary: 11111111010001001010111110110000000002
- Hexadecimal: 0x1FE895F600
- Base-36: 1QYHQ58G
Squares and roots of 137046128128
- 137046128128 squared (1370461281282) is 18781641234876192784384
- 137046128128 cubed (1370461281283) is 2573951211128970858545518741553152
-
The
square root of 137046128128 is 370197.4177759753 -
The
cube root of 137046128128 is 5155.7152515911
Scales and comparisons
How big is 137046128128?- 137,046,128,128 seconds is equal to 4,357 years, 33 weeks, 3 days, 55 minutes, 28 seconds.
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To count from 1 to 137,046,128,128 would take you about eight thousand, seven hundred fifteen 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 137046128128 cubic inches would be around 429.6 feet tall.
Recreational maths with 137046128128
- 137046128128 backwards is 821821640731
- The number of decimal digits it has is: 12
- The sum of 137046128128's digits is 43
- More coming soon!
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