137098080
137,098,080 is an even composite number composed of six prime numbers multiplied together.
137098080 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 137098080:
25 × 32 × 5 × 72 × 29 × 67
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 29 × 67)See below for interesting mathematical facts about the number 137098080 from the Numbermatics database.
Names of 137098080
- Cardinal: 137098080 can be written as One hundred thirty-seven million, ninety-eight thousand and eighty.
Scientific notation
- Scientific notation: 1.3709808 × 108
Factors of 137098080
Divisors of 137098080
- Number of divisors d(n): 432
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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 28 29 30 32 35 36 40 42 45 48 49 56 58 60 63 67 70 72 80 84 87 90 96 98 105 112 116 120 126 134 140 144 145 147 160 168 174 180 196 201 203 210 224 232 240 245 252 261 268 280 288 290 294 315 335 336 348 360 392 402 406 420 435 441 464 469 480 490 504 522 536 560 580 588 603 609 630 670 672 696 720 735 784 804 812 840 870 882 928 938 980 1005 1008 1015 1044 1072 1120 1160 1176 1206 1218 1260 1305 1340 1392 1407 1421 1440 1470 1568 1608 1624 1680 1740 1764 1827 1876 1943 1960 2010 2016 2030 2088 2144 2205 2320 2345 2352 2412 2436 2520 2610 2680 2784 2814 2842 2940 3015 3045 3216 3248 3283 3360 3480 3528 3654 3752 3886 3920 4020 4060 4176 4221 4263 4410 4640 4690 4704 4824 4872 5040 5220 5360 5628 5684 5829 5880 6030 6090 6432 6496 6566 6960 7035 7056 7105 7308 7504 7772 7840 8040 8120 8352 8442 8526 8820 9135 9380 9648 9715 9744 9849 10080 10440 10720 11256 11368 11658 11760 12060 12180 12789 13132 13601 13920 14070 14112 14210 14616 15008 15544 16080 16240 16415 16884 17052 17487 17640 18270 18760 19296 19430 19488 19698 20880 21105 21315 22512 22736 23316 23520 24120 24360 25578 26264 27202 28140 28420 29145 29232 29547 31088 32160 32480 32830 33768 34104 34974 35280 36540 37520 38860 39396 40803 41760 42210 42630 45024 45472 46632 48240 48720 49245 51156 52528 54404 56280 56840 58290 58464 59094 62176 63945 65660 67536 68005 68208 69948 70560 73080 75040 77720 78792 81606 84420 85260 87435 93264 95207 96480 97440 98490 102312 105056 108808 112560 113680 116580 118188 122409 127890 131320 135072 136010 136416 139896 146160 147735 155440 157584 163212 168840 170520 174870 186528 190414 196980 204015 204624 217616 225120 227360 233160 236376 244818 255780 262640 272020 279792 285621 292320 295470 310880 315168 326424 337680 341040 349740 380828 393960 408030 409248 435232 466320 472752 476035 489636 511560 525280 544040 559584 571242 590940 612045 652848 675360 682080 699480 761656 787920 816060 856863 932640 945504 952070 979272 1023120 1088080 1142484 1181880 1224090 1305696 1398960 1428105 1523312 1575840 1632120 1713726 1904140 1958544 2046240 2176160 2284968 2363760 2448180 2797920 2856210 3046624 3264240 3427452 3808280 3917088 4284315 4569936 4727520 4896360 5712420 6528480 6854904 7616560 8568630 9139872 9792720 11424840 13709808 15233120 17137260 19585440 22849680 27419616 34274520 45699360 68549040 137098080
- Sum of all divisors σ(n): 571399920
- Sum of proper divisors (its aliquot sum) s(n): 434301840
- 137098080 is an abundant number, because the sum of its proper divisors (434301840) is greater than itself. Its abundance is 297203760
Bases of 137098080
- Binary: 10000010101111110011011000002
- Hexadecimal: 0x82BF360
- Base-36: 29MHK0
Squares and roots of 137098080
- 137098080 squared (1370980802) is 18795883539686400
- 137098080 cubed (1370980803) is 2576879545194609242112000
-
The
square root of 137098080 is 11708.8889310643 -
The
cube root of 137098080 is 515.6366650805
Scales and comparisons
How big is 137098080?- 137,098,080 seconds is equal to 4 years, 18 weeks, 4 days, 18 hours, 48 minutes.
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To count from 1 to 137,098,080 would take you about six 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 137098080 cubic inches would be around 43 feet tall.
Recreational maths with 137098080
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