137084080320
137,084,080,320 is an even composite number composed of six prime numbers multiplied together.
137084080320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 137084080320:
26 × 33 × 5 × 11 × 47 × 30689
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 47 × 30689)See below for interesting mathematical facts about the number 137084080320 from the Numbermatics database.
Names of 137084080320
- Cardinal: 137084080320 can be written as One hundred thirty-seven billion, eighty-four million, eighty thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3708408032 × 1011
Factors of 137084080320
Divisors of 137084080320
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 32 33 36 40 44 45 47 48 54 55 60 64 66 72 80 88 90 94 96 99 108 110 120 132 135 141 144 160 165 176 180 188 192 198 216 220 235 240 264 270 282 288 297 320 330 352 360 376 396 423 432 440 470 480 495 517 528 540 564 576 594 660 704 705 720 752 792 846 864 880 940 960 990 1034 1056 1080 1128 1188 1269 1320 1410 1440 1485 1504 1551 1584 1692 1728 1760 1880 1980 2068 2112 2115 2160 2256 2376 2538 2585 2640 2820 2880 2970 3008 3102 3168 3384 3520 3760 3960 4136 4230 4320 4512 4653 4752 5076 5170 5280 5640 5940 6204 6336 6345 6768 7520 7755 7920 8272 8460 8640 9024 9306 9504 10152 10340 10560 11280 11880 12408 12690 13536 13959 15040 15510 15840 16544 16920 18612 19008 20304 20680 22560 23265 23760 24816 25380 27072 27918 30689 31020 31680 33088 33840 37224 40608 41360 45120 46530 47520 49632 50760 55836 61378 62040 67680 69795 74448 81216 82720 92067 93060 95040 99264 101520 111672 122756 124080 135360 139590 148896 153445 165440 184134 186120 203040 223344 245512 248160 276201 279180 297792 306890 337579 368268 372240 406080 446688 460335 491024 496320 552402 558360 613780 675158 736536 744480 828603 893376 920670 982048 1012737 1104804 1116720 1227560 1350316 1381005 1442383 1473072 1488960 1657206 1687895 1841340 1964096 2025474 2209608 2233440 2455120 2700632 2762010 2884766 2946144 3038211 3314412 3375790 3682680 4050948 4143015 4327149 4419216 4466880 4910240 5063685 5401264 5524020 5769532 5892288 6076422 6628824 6751580 7211915 7365360 8101896 8286030 8654298 8838432 9114633 9820480 10127370 10802528 11048040 11539064 12152844 12981447 13257648 13503160 14423830 14730720 15191055 15866213 16203792 16572060 17308596 17676864 18229266 20254740 21605056 21635745 22096080 23078128 24305688 25962894 26515296 27006320 28847660 29461440 30382110 31732426 32407584 33144120 34617192 36458532 38944341 40509480 43271490 44192160 45573165 46156256 47598639 48611376 51925788 53030592 54012640 57695320 60764220 63464852 64815168 64907235 66288240 69234384 72917064 77888682 79331065 81018960 86542980 88384320 91146330 92312512 95197278 97222752 103851576 108025280 115390640 121528440 126929704 129814470 132576480 138468768 142795917 145834128 155777364 158662130 162037920 173085960 182292660 190394556 194445504 194721705 207703152 230781280 237993195 243056880 253859408 259628940 265152960 276937536 285591834 291668256 311554728 317324260 324075840 346171920 364585320 380789112 389443410 415406304 428387751 461562560 475986390 486113760 507718816 519257880 571183668 583336512 623109456 634648520 692343840 713979585 729170640 761578224 778886820 830812608 856775502 951972780 972227520 1015437632 1038515760 1142367336 1246218912 1269297040 1384687680 1427959170 1458341280 1523156448 1557773640 1713551004 1903945560 2077031520 2141938755 2284734672 2492437824 2538594080 2855918340 2916682560 3046312896 3115547280 3427102008 3807891120 4154063040 4283877510 4569469344 5077188160 5711836680 6231094560 6854204016 7615782240 8567755020 9138938688 11423673360 12462189120 13708408032 15231564480 17135510040 22847346720 27416816064 34271020080 45694693440 68542040160 137084080320
- Sum of all divisors σ(n): 538808371200
- Sum of proper divisors (its aliquot sum) s(n): 401724290880
- 137084080320 is an abundant number, because the sum of its proper divisors (401724290880) is greater than itself. Its abundance is 264640210560
Bases of 137084080320
- Binary: 11111111010101101100100010000110000002
- Hexadecimal: 0x1FEAD910C0
- Base-36: 1QZ4BLC0
Squares and roots of 137084080320
- 137084080320 squared (1370840803202) is 18792045077180211302400
- 137084080320 cubed (1370840803203) is 2576090216737232685292773408768000
-
The
square root of 137084080320 is 370248.6736235527 -
The
cube root of 137084080320 is 5156.1911318371
Scales and comparisons
How big is 137084080320?- 137,084,080,320 seconds is equal to 4,358 years, 44 weeks, 1 day, 7 hours, 12 minutes.
-
To count from 1 to 137,084,080,320 would take you about eight thousand, seven hundred seventeen 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 137084080320 cubic inches would be around 429.7 feet tall.
Recreational maths with 137084080320
- 137084080320 backwards is 023080480731
- 137084080320 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137084080320's digits is 36
- More coming soon!
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