137768668724221020
137,768,668,724,221,020 is an even composite number composed of six prime numbers multiplied together.
137768668724221020 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 137768668724221020:
22 × 35 × 5 × 1699 × 156007 × 106949
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 1699 × 156007 × 106949)See below for interesting mathematical facts about the number 137768668724221020 from the Numbermatics database.
Names of 137768668724221020
- Cardinal: 137768668724221020 can be written as One hundred thirty-seven quadrillion, seven hundred sixty-eight trillion, six hundred sixty-eight billion, seven hundred twenty-four million, two hundred twenty-one thousand and twenty.
Scientific notation
- Scientific notation: 1.3776866872422102 × 1017
Factors of 137768668724221020
Divisors of 137768668724221020
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 1699 2430 3398 4860 5097 6796 8495 10194 15291 16990 20388 25485 30582 33980 45873 50970 61164 76455 91746 101940 106949 137619 152910 156007 183492 213898 229365 275238 305820 312014 320847 412857 427796 458730 468021 534745 550476 624028 641694 688095 780035 825714 917460 936042 962541 1069490 1283388 1376190 1404063 1560070 1604235 1651428 1872084 1925082 2064285 2138980 2340105 2752380 2808126 2887623 3120140 3208470 3850164 4128570 4212189 4680210 4812705 5616252 5775246 6416940 7020315 8257140 8424378 8662869 9360420 9625410 11550492 12636567 14040630 14438115 16848756 17325738 19250820 21060945 25273134 25988607 28081260 28876230 34651476 37909701 42121890 43314345 50546268 51977214 57752460 63182835 75819402 84243780 86628690 103954428 126365670 129943035 151638804 173257380 181706351 189548505 252731340 259886070 265055893 363412702 379097010 519772140 530111786 545119053 726825404 758194020 795167679 908531755 1060223572 1090238106 1325279465 1590335358 1635357159 1817063510 2180476212 2385503037 2650558930 2725595265 3180670716 3270714318 3634127020 3975838395 4771006074 4906071477 5301117860 5451190530 6541428636 7156509111 7951676790 8176785795 9542012148 9812142954 10902381060 11927515185 14313018222 14718214431 15903353580 16353571590 16684792643 19624285908 21469527333 23855030370 24530357385 28626036444 29436428862 32707143180 33369585286 35782545555 42939054666 44154643293 47710060740 49060714770 50054377929 58872857724 64408581999 66739170572 71565091110 73591072155 83423963215 85878109332 88309286586 98121429540 100108755858 107347636665 128817163998 143130182220 147182144310 150163133787 166847926430 176618573172 200217511716 214695273330 220773216465 250271889645 257634327996 294364288620 300326267574 322042909995 333695852860 429390546660 441546432930 450489401361 500543779290 600652535148 644085819990 750815668935 883092865860 900978802722 1001087558580 1288171639980 1351468204083 1501631337870 1801957605444 2252447006805 2702936408166 3003262675740 4054404612249 4504894013610 5405872816332 6757341020415 8108809224498 9009788027220 13514682040830 16217618448996 20272023061245 27029364081660 28347462700457 40544046122490 56694925400914 81088092244980 85042388101371 113389850801828 141737313502285 170084776202742 255127164304113 283474627004570 340169552405484 425211940506855 510254328608226 566949254009140 765381492912339 850423881013710 1020508657216452 1275635821520565 1530762985824678 1700847762027420 2296144478737017 2551271643041130 3061525971649356 3826907464561695 4592288957474034 5102543286082260 6888433436211051 7653814929123390 9184577914948068 11480722393685085 13776866872422102 15307629858246780 22961444787370170 27553733744844204 34442167181055255 45922889574740340 68884334362110510 137768668724221020
- Sum of all divisors σ(n): 433637921021760000
- Sum of proper divisors (its aliquot sum) s(n): 295869252297538980
- 137768668724221020 is an abundant number, because the sum of its proper divisors (295869252297538980) is greater than itself. Its abundance is 158100583573317960
Bases of 137768668724221020
- Binary: 1111010010111001111011111110100000111110001010100010111002
- Hexadecimal: 0x1E973DFD07C545C
- Base-36: 11OIX0OKS9R0
Squares and roots of 137768668724221020
- 137768668724221020 squared (1377686687242210202) is 18980206082044155050498805809840400
- 137768668724221020 cubed (1377686687242210203) is 2614877724034586167040914867722769852971740525208000
-
The
square root of 137768668724221020 is 371172020.3951545429 -
The
cube root of 137768668724221020 is 516476.0103827577
Scales and comparisons
How big is 137768668724221020?- 137,768,668,724,221,020 seconds is equal to 4,380,617,518 years, 49 weeks, 5 days, 16 hours, 57 minutes.
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To count from 1 to 137,768,668,724,221,020 would take you about thirteen billion, one hundred forty-one million, eight hundred fifty-two thousand, five hundred fifty-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 137768668724221020 cubic inches would be around 43039.7 feet tall.
Recreational maths with 137768668724221020
- 137768668724221020 backwards is 020122427866867731
- The number of decimal digits it has is: 18
- The sum of 137768668724221020's digits is 72
- More coming soon!
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