137585740680000
137,585,740,680,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 137585740680000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 420 divisors.
137585740680000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred twenty divisors.
Prime factorization of 137585740680000:
26 × 32 × 54 × 311 × 1228883
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 311 × 1228883)See below for interesting mathematical facts about the number 137585740680000 from the Numbermatics database.
Names of 137585740680000
- Cardinal: 137585740680000 can be written as One hundred thirty-seven trillion, five hundred eighty-five billion, seven hundred forty million, six hundred eighty thousand.
Scientific notation
- Scientific notation: 1.3758574068 × 1014
Factors of 137585740680000
Divisors of 137585740680000
- Number of divisors d(n): 420
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 125 144 150 160 180 192 200 225 240 250 288 300 311 320 360 375 400 450 480 500 576 600 622 625 720 750 800 900 933 960 1000 1125 1200 1244 1250 1440 1500 1555 1600 1800 1866 1875 2000 2250 2400 2488 2500 2799 2880 3000 3110 3600 3732 3750 4000 4500 4665 4800 4976 5000 5598 5625 6000 6220 7200 7464 7500 7775 8000 9000 9330 9952 10000 11196 11250 12000 12440 13995 14400 14928 15000 15550 18000 18660 19904 20000 22392 22500 23325 24000 24880 27990 29856 30000 31100 36000 37320 38875 40000 44784 45000 46650 49760 55980 59712 60000 62200 69975 72000 74640 77750 89568 90000 93300 99520 111960 116625 120000 124400 139950 149280 155500 179136 180000 186600 194375 223920 233250 248800 279900 298560 311000 349875 360000 373200 388750 447840 466500 497600 559800 583125 622000 699750 746400 777500 895680 933000 1119600 1166250 1228883 1244000 1399500 1492800 1555000 1749375 1866000 2239200 2332500 2457766 2488000 2799000 3110000 3498750 3686649 3732000 4478400 4665000 4915532 5598000 6144415 6220000 6997500 7373298 7464000 9330000 9831064 11059947 11196000 12288830 12440000 13995000 14746596 18433245 18660000 19662128 22119894 22392000 24577660 27990000 29493192 30722075 36866490 37320000 39324256 44239788 49155320 55299735 55980000 58986384 61444150 73732980 78648512 88479576 92166225 98310640 110599470 111960000 117972768 122888300 147465960 153610375 176959152 184332450 196621280 221198940 235945536 245776600 276498675 294931920 307220750 353918304 368664900 382182613 393242560 442397880 460831125 491553200 552997350 589863840 614441500 707836608 737329800 764365226 768051875 884795760 921662250 983106400 1105994700 1146547839 1179727680 1228883000 1382493375 1474659600 1528730452 1536103750 1769591520 1843324500 1910913065 1966212800 2211989400 2293095678 2304155625 2457766000 2764986750 2949319200 3057460904 3072207500 3439643517 3539183040 3686649000 3821826130 4423978800 4586191356 4608311250 4915532000 5529973500 5732739195 5898638400 6114921808 6144415000 6879287034 6912466875 7373298000 7643652260 8847957600 9172382712 9216622500 9554565325 9831064000 11059947000 11465478390 12229843616 12288830000 13758574068 13824933750 14746596000 15287304520 17198217585 17695915200 18344765424 18433245000 19109130650 22119894000 22930956780 24459687232 24577660000 27517148136 27649867500 28663695975 29493192000 30574609040 34396435170 36689530848 36866490000 38218261300 44239788000 45861913560 47772826625 49155320000 55034296272 55299735000 57327391950 61149218080 68792870340 73379061696 73732980000 76436522600 85991087925 88479576000 91723827120 95545653250 110068592544 110599470000 114654783900 122298436160 137585740680 143318479875 147465960000 152873045200 171982175850 183447654240 191091306500 220137185088 221198940000 229309567800 238864133125 275171481360 286636959750 305746090400 343964351700 366895308480 382182613000 429955439625 442397880000 458619135600 477728266250 550342962720 573273919500 611492180800 687928703400 716592399375 764365226000 859910879250 917238271200 955456532500 1100685925440 1146547839000 1375857406800 1433184798750 1528730452000 1719821758500 1834476542400 1910913065000 2149777198125 2293095678000 2751714813600 2866369597500 3057460904000 3439643517000 3821826130000 4299554396250 4586191356000 5503429627200 5732739195000 6879287034000 7643652260000 8599108792500 9172382712000 11465478390000 13758574068000 15287304520000 17198217585000 22930956780000 27517148136000 34396435170000 45861913560000 68792870340000 137585740680000
- Sum of all divisors σ(n): 494383071001248
- Sum of proper divisors (its aliquot sum) s(n): 356797330321248
- 137585740680000 is an abundant number, because the sum of its proper divisors (356797330321248) is greater than itself. Its abundance is 219211589641248
Bases of 137585740680000
- Binary: 111110100100010001011010011001100001011010000002
- Hexadecimal: 0x7D222D330B40
- Base-36: 1CRQ0LN4G0
Squares and roots of 137585740680000
- 137585740680000 squared (1375857406800002) is 18929836038464206862400000000
- 137585740680000 cubed (1375857406800003) is 2604475512303054870832042842432000000000000
-
The
square root of 137585740680000 is 11729694.8246746811 -
The
cube root of 137585740680000 is 51624.7318344427
Scales and comparisons
How big is 137585740680000?- 137,585,740,680,000 seconds is equal to 4,374,800 years, 50 weeks, 4 days, 4 hours.
-
To count from 1 to 137,585,740,680,000 would take you about ten million, nine hundred thirty-seven thousand and 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 137585740680000 cubic inches would be around 4302.1 feet tall.
Recreational maths with 137585740680000
- 137585740680000 backwards is 000086047585731
- The number of decimal digits it has is: 15
- The sum of 137585740680000's digits is 54
- More coming soon!
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