137314087680
137,314,087,680 is an even composite number composed of six prime numbers multiplied together.
137314087680 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 137314087680:
28 × 3 × 5 × 72 × 11 × 66343
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 11 × 66343)See below for interesting mathematical facts about the number 137314087680 from the Numbermatics database.
Names of 137314087680
- Cardinal: 137314087680 can be written as One hundred thirty-seven billion, three hundred fourteen million, eighty-seven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3731408768 × 1011
Factors of 137314087680
Divisors of 137314087680
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 32 33 35 40 42 44 48 49 55 56 60 64 66 70 77 80 84 88 96 98 105 110 112 120 128 132 140 147 154 160 165 168 176 192 196 210 220 224 231 240 245 256 264 280 294 308 320 330 336 352 384 385 392 420 440 448 462 480 490 528 539 560 588 616 640 660 672 704 735 768 770 784 840 880 896 924 960 980 1056 1078 1120 1155 1176 1232 1280 1320 1344 1408 1470 1540 1568 1617 1680 1760 1792 1848 1920 1960 2112 2156 2240 2310 2352 2464 2640 2688 2695 2816 2940 3080 3136 3234 3360 3520 3696 3840 3920 4224 4312 4480 4620 4704 4928 5280 5376 5390 5880 6160 6272 6468 6720 7040 7392 7840 8085 8448 8624 8960 9240 9408 9856 10560 10780 11760 12320 12544 12936 13440 14080 14784 15680 16170 17248 18480 18816 19712 21120 21560 23520 24640 25872 26880 29568 31360 32340 34496 36960 37632 42240 43120 47040 49280 51744 59136 62720 64680 66343 68992 73920 86240 94080 98560 103488 129360 132686 137984 147840 172480 188160 199029 206976 258720 265372 295680 331715 344960 398058 413952 464401 517440 530744 663430 689920 729773 796116 928802 995145 1034880 1061488 1326860 1393203 1459546 1592232 1857604 1990290 2069760 2122976 2189319 2322005 2653720 2786406 2919092 3184464 3250807 3648865 3715208 3980580 4245952 4378638 4644010 5108411 5307440 5572812 5838184 6368928 6501614 6966015 7297730 7430416 7961160 8491904 8757276 9288020 9752421 10216822 10614880 10946595 11145624 11676368 12737856 13003228 13932030 14595460 14860832 15325233 15922320 16254035 16983808 17514552 18576040 19504842 20433644 21229760 21893190 22291248 23352736 25475712 25542055 26006456 27864060 29190920 29721664 30650466 31844640 32508070 35029104 35758877 37152080 39009684 40867288 42459520 43786380 44582496 46705472 48762105 50951424 51084110 52012912 55728120 58381840 59443328 61300932 63689280 65016140 70058208 71517754 74304160 76626165 78019368 81734576 84919040 87572760 89164992 93410944 97524210 102168220 104025824 107276631 111456240 116763680 118886656 122601864 127378560 130032280 140116416 143035508 148608320 153252330 156038736 163469152 175145520 178329984 178794385 186821888 195048420 204336440 208051648 214553262 222912480 233527360 245203728 254757120 260064560 280232832 286071016 297216640 306504660 312077472 326938304 350291040 356659968 357588770 390096840 408672880 416103296 429106524 445824960 467054720 490407456 520129120 536383155 560465664 572142032 594433280 613009320 624154944 653876608 700582080 715177540 780193680 817345760 832206592 858213048 891649920 934109440 980814912 1040258240 1072766310 1144284064 1226018640 1248309888 1307753216 1401164160 1430355080 1560387360 1634691520 1716426096 1783299840 1961629824 2080516480 2145532620 2288568128 2452037280 2496619776 2802328320 2860710160 3120774720 3269383040 3432852192 3923259648 4161032960 4291065240 4577136256 4904074560 5721420320 6241549440 6538766080 6865704384 8582130480 9154272512 9808149120 11442840640 12483098880 13731408768 17164260960 19616298240 22885681280 27462817536 34328521920 45771362560 68657043840 137314087680
- Sum of all divisors σ(n): 556531686144
- Sum of proper divisors (its aliquot sum) s(n): 419217598464
- 137314087680 is an abundant number, because the sum of its proper divisors (419217598464) is greater than itself. Its abundance is 281903510784
Bases of 137314087680
- Binary: 11111111110001000111010110011000000002
- Hexadecimal: 0x1FF88EB300
- Base-36: 1R2X9G5C
Squares and roots of 137314087680
- 137314087680 squared (1373140876802) is 18855158675390727782400
- 137314087680 cubed (1373140876803) is 2589078911572915052971485560832000
-
The
square root of 137314087680 is 370559.1554394521 -
The
cube root of 137314087680 is 5159.0733027245
Scales and comparisons
How big is 137314087680?- 137,314,087,680 seconds is equal to 4,366 years, 8 weeks, 3 days, 10 hours, 8 minutes.
-
To count from 1 to 137,314,087,680 would take you about eight thousand, seven hundred thirty-two 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 137314087680 cubic inches would be around 429.9 feet tall.
Recreational maths with 137314087680
- 137314087680 backwards is 086780413731
- 137314087680 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137314087680's digits is 48
- More coming soon!
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