137906680890721600
137,906,680,890,721,600 is an even composite number composed of five prime numbers multiplied together.
What does the number 137906680890721600 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 504 divisors.
137906680890721600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 137906680890721600:
26 × 52 × 11 × 13 × 2275
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 13 × 227 × 227 × 227 × 227 × 227)See below for interesting mathematical facts about the number 137906680890721600 from the Numbermatics database.
Names of 137906680890721600
- Cardinal: 137906680890721600 can be written as One hundred thirty-seven quadrillion, nine hundred six trillion, six hundred eighty billion, eight hundred ninety million, seven hundred twenty-one thousand, six hundred.
Scientific notation
- Scientific notation: 1.379066808907216 × 1017
Factors of 137906680890721600
Divisors of 137906680890721600
- Number of divisors d(n): 504
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 25 26 32 40 44 50 52 55 64 65 80 88 100 104 110 130 143 160 176 200 208 220 227 260 275 286 320 325 352 400 416 440 454 520 550 572 650 704 715 800 832 880 908 1040 1100 1135 1144 1300 1430 1600 1760 1816 2080 2200 2270 2288 2497 2600 2860 2951 3520 3575 3632 4160 4400 4540 4576 4994 5200 5675 5720 5902 7150 7264 8800 9080 9152 9988 10400 11350 11440 11804 12485 14300 14528 14755 17600 18160 19976 20800 22700 22880 23608 24970 28600 29510 32461 36320 39952 45400 45760 47216 49940 51529 57200 59020 62425 64922 72640 73775 79904 90800 94432 99880 103058 114400 118040 124850 129844 147550 159808 162305 181600 188864 199760 206116 228800 236080 249700 257645 259688 295100 324610 363200 399520 412232 472160 499400 515290 519376 566819 590200 649220 669877 799040 811525 824464 944320 998800 1030580 1038752 1133638 1180400 1288225 1298440 1339754 1623050 1648928 1997600 2061160 2077504 2267276 2360800 2576450 2596880 2679508 2834095 3246100 3297856 3349385 3995200 4122320 4534552 4721600 5152900 5193760 5359016 5668190 6492200 6698770 7368647 8244640 9069104 10305800 10387520 10718032 11336380 11697083 12984400 13397540 14170475 14737294 16489280 16746925 18138208 20611600 21436064 22672760 23394166 25968800 26795080 28340950 29474588 33493850 36276416 36843235 41223200 42872128 45345520 46788332 51937600 53590160 56681900 58485415 58949176 66987700 73686470 82446400 90691040 93576664 107180320 113363800 116970830 117898352 128667913 133975400 147372940 152062079 181382080 184216175 187153328 214360640 226727600 233941660 235796704 257335826 267950800 292427075 294745880 304124158 368432350 374306656 453455200 467883320 471593408 514671652 535901600 584854150 589491760 608248316 643339565 736864700 748613312 760310395 906910400 935766640 1029343304 1071803200 1169708300 1178983520 1216496632 1286679130 1473729400 1520620790 1672682869 1871533280 2058686608 2339416600 2357967040 2432993264 2573358260 2655237841 2947458800 3041241580 3216697825 3345365738 3743066560 3801551975 4117373216 4678833200 4865986528 5146716520 5310475682 5894917600 6082483160 6433395650 6690731476 7603103950 8234746432 8363414345 9357666400 9731973056 10293433040 10620951364 11789835200 12164966320 12866791300 13276189205 13381462952 15206207900 16726828690 18715332800 20586866080 21241902728 24329932640 25733582600 26552378410 26762925904 29207616251 30412415800 33453657380 34518091933 41173732160 41817071725 42483805456 48659865280 51467165200 53104756820 53525851808 58415232502 60824831600 66380946025 66907314760 69036183866 83634143450 84967610912 102934330400 106209513640 107051703616 116830465004 121649663200 132761892050 133814629520 138072367732 146038081255 167268286900 169935221824 172590459665 205868660800 212419027280 233660930008 243299326400 265523784100 267629259040 276144735464 292076162510 334536573800 345180919330 379699011263 424838054560 467321860016 531047568200 535258518080 552289470928 584152325020 602738989907 669073147600 690361838660 730190406275 759398022526 849676109120 862952298325 934643720032 1062095136400 1104578941856 1168304650040 1205477979814 1338146295200 1380723677320 1460380812550 1518796045052 1725904596650 1869287440064 1898495056315 2124190272800 2209157883712 2336609300080 2410955959628 2676292590400 2761447354640 2920761625100 3013694949535 3037592090104 3451809193300 3796990112630 4248380545600 4673218600160 4821911919256 5522894709280 5841523250200 6027389899070 6075184180208 6630128888977 6903618386600 7593980225260 7835606868791 9346437200320 9492475281575 9643823838512 11045789418560 11683046500400 12054779798140 12150368360416 13260257777954 13807236773200 15068474747675 15187960450520 15671213737582 18984950563150 19287647677024 23366093000800 24109559596280 24300736720832 26520515555908 27614473546400 30136949495350 30375920901040 31342427475164 33150644444885 37969901126300 38575295354048 39178034343955 46732186001600 48219119192560 53041031111816 55228947092800 60273898990700 60751841802080 62684854950328 66301288889770 75939802252600 78356068687910 86191675556701 96438238385120 106082062223632 120547797981400 121503683604160 125369709900656 132602577779540 151879604505200 156712137375820 165753222224425 172383351113402 192876476770240 195890171719775 212164124447264 241095595962800 250739419801312 265205155559080 303759209010400 313424274751640 331506444448850 344766702226804 391780343439550 424328248894528 430958377783505 482191191925600 501478839602624 530410311118160 607518418020800 626848549503280 663012888897700 689533404453608 783560686879100 861916755567010 964382383851200 1060820622236320 1253697099006560 1326025777795400 1379066808907216 1567121373758200 1723833511134020 2121641244472640 2154791888917525 2507394198013120 2652051555590800 2758133617814432 3134242747516400 3447667022268040 4309583777835050 5304103111181600 5516267235628864 6268485495032800 6895334044536080 8619167555670100 10608206222363200 12536970990065600 13790668089072160 17238335111340200 27581336178144320 34476670222680400 68953340445360800 137906680890721600
- Sum of all divisors σ(n): 400425199410928608
- Sum of proper divisors (its aliquot sum) s(n): 262518518520207008
- 137906680890721600 is an abundant number, because the sum of its proper divisors (262518518520207008) is greater than itself. Its abundance is 124611837629485408
Bases of 137906680890721600
- Binary: 1111010011111000101100101010001101010010100000101010000002
- Hexadecimal: 0x1E9F16546A50540
- Base-36: 11PVU6LHCN5S
Squares and roots of 137906680890721600
- 137906680890721600 squared (1379066808907216002) is 19018252634295318113960968706560000
- 137906680890721600 cubed (1379066808907216003) is 2622744097136889876263959466881880204657053696000000
-
The
square root of 137906680890721600 is 371357887.8800362845 -
The
cube root of 137906680890721600 is 516648.4157756791
Scales and comparisons
How big is 137906680890721600?- 137,906,680,890,721,600 seconds is equal to 4,385,005,878 years, 49 weeks, 3 days, 21 hours, 46 minutes, 40 seconds.
-
To count from 1 to 137,906,680,890,721,600 would take you about thirteen billion, one hundred fifty-five million, seventeen thousand, six hundred thirty-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 137906680890721600 cubic inches would be around 43054 feet tall.
Recreational maths with 137906680890721600
- 137906680890721600 backwards is 006127098086609731
- The number of decimal digits it has is: 18
- The sum of 137906680890721600's digits is 73
- More coming soon!
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The information we have on file for 137906680890721600 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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