137920493793628000
137,920,493,793,628,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 137920493793628000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2016 divisors.
137920493793628000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 137920493793628000:
25 × 53 × 73 × 132 × 296
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 13 × 13 × 29 × 29 × 29 × 29 × 29 × 29)See below for interesting mathematical facts about the number 137920493793628000 from the Numbermatics database.
Names of 137920493793628000
- Cardinal: 137920493793628000 can be written as One hundred thirty-seven quadrillion, nine hundred twenty trillion, four hundred ninety-three billion, seven hundred ninety-three million, six hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.37920493793628 × 1017
Factors of 137920493793628000
Divisors of 137920493793628000
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 29 32 35 40 49 50 52 56 58 65 70 80 91 98 100 104 112 116 125 130 140 145 160 169 175 182 196 200 203 208 224 232 245 250 260 280 290 325 338 343 350 364 377 392 400 406 416 455 464 490 500 520 560 580 637 650 676 686 700 725 728 754 784 800 812 841 845 875 910 928 980 1000 1015 1040 1120 1160 1183 1225 1274 1300 1352 1372 1400 1421 1450 1456 1508 1568 1624 1625 1682 1690 1715 1750 1820 1885 1960 2000 2030 2080 2275 2320 2366 2450 2548 2600 2639 2704 2744 2800 2842 2900 2912 3016 3185 3248 3250 3364 3380 3430 3500 3625 3640 3770 3920 4000 4060 4205 4225 4459 4550 4640 4732 4900 4901 5075 5096 5200 5278 5408 5488 5600 5684 5800 5887 5915 6032 6125 6370 6496 6500 6728 6760 6860 7000 7105 7250 7280 7540 7840 8120 8281 8410 8450 8575 8918 9100 9425 9464 9800 9802 9947 10150 10192 10400 10556 10933 10976 11368 11375 11600 11774 11830 12064 12250 12740 13000 13195 13456 13520 13720 14000 14210 14500 14560 15080 15925 16240 16562 16820 16900 17150 17836 18200 18473 18850 18928 19600 19604 19894 20300 20384 21025 21112 21125 21866 22295 22736 22750 23200 23548 23660 24389 24500 24505 25375 25480 26000 26390 26912 27040 27440 28000 28420 29000 29435 29575 30160 31850 32480 33124 33640 33800 34300 34307 35525 35672 36400 36946 37700 37856 39200 39208 39788 40600 41209 41405 42050 42224 42250 42875 43732 44590 45472 45500 47096 47125 47320 48778 49000 49010 49735 50750 50960 52000 52780 54665 54880 56840 57967 58000 58870 59150 60320 63700 65975 66248 67280 67600 68600 68614 71050 71344 72800 73892 75400 76531 78416 79576 79625 81200 82418 82810 84100 84448 84500 85750 87464 89180 91000 92365 94192 94250 94640 97556 98000 98020 99470 101500 101920 105125 105560 109330 111475 113680 115934 116000 117740 118300 121945 122525 127400 129311 131950 132496 134560 135200 137200 137228 142100 142129 142688 147175 147784 147875 150800 153062 156832 159152 159250 162400 164836 165620 168200 169000 170723 171500 171535 174928 177625 178360 182000 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29146342729000 29724244352075 30312196438160 30930812692000 32643903856480 32799166181600 33970564973800 34480123448407 35183799437150 36583685356400 37890245547700 38047032770656 39405855369608 40210056499600 40804879820600 40998957727000 42437075013424 42463206217250 43303137768800 45729606695500 47362806934625 47558790963320 48529378534000 49257319212010 50262570624500 51006099775750 52262407652000 53046343766780 54128922211000 56294079099440 58292685458000 59448488704150 60624392876320 66307929708475 67941129947600 68960246896814 70367598874300 73167370712800 75780491095400 78811710739216 80420112999200 81609759641200 81997915454000 84874150026848 84926412434500 87959498592875 91459213391000 94725613869250 95117581926640 97058757068000 98514638424020 100525141249000 102012199551500 106092687533560 108257844422000 112588158198880 116585370916000 118896977408300 123143298030025 132615859416950 135882259895200 137920493793628 140735197748600 148621221760375 151560982190800 157623421478432 163219519282400 163995830908000 169852824869000 172400617242035 175918997185750 182918426782000 189451227738500 190235163853280 197029276848040 201050282498000 204024399103000 212185375067120 216515688844000 237793954816600 246286596060050 265231718833900 275840987587256 281470395497200 297242443520750 303121964381600 331539648542375 339705649738000 344801234484070 351837994371500 365836853564000 378902455477000 394058553696080 402100564996000 408048798206000 424370750134240 475587909633200 492573192120100 530463437667800 551681975174512 562940790994400 594484887041500 615716490150125 663079297084750 679411299476000 689602468968140 703675988743000 757804910954000 788117107392160 816097596412000 862003086210175 951175819266400 985146384240200 1060926875335600 1103363950349024 1188969774083000 1231432980300250 1326158594169500 1379204937936280 1407351977486000 1515609821908000 1724006172420350 1970292768480400 2121853750671200 2377939548166000 2462865960600500 2652317188339000 2758409875872560 2814703954972000 3448012344840700 3940585536960800 4310015431050875 4755879096332000 4925731921201000 5304634376678000 5516819751745120 6896024689681400 8620030862101750 9851463842402000 10609268753356000 13792049379362800 17240061724203500 19702927684804000 27584098758725600 34480123448407000 68960246896814000 137920493793628000
- Sum of all divisors σ(n): 443204521956705600
- Sum of proper divisors (its aliquot sum) s(n): 305284028163077600
- 137920493793628000 is an abundant number, because the sum of its proper divisors (305284028163077600) is greater than itself. Its abundance is 167363534369449600
Bases of 137920493793628000
- Binary: 1111010011111110111110101010101111101000011001111011000002
- Hexadecimal: 0x1E9FDF557D0CF60
- Base-36: 11Q0QG5N3PLS
Squares and roots of 137920493793628000
- 137920493793628000 squared (1379204937936280002) is 19022062608278179667053402384000000
- 137920493793628000 cubed (1379204937936280003) is 2623532267907033924505176286932912939209152000000000
-
The
square root of 137920493793628000 is 371376485.2459401475 -
The
cube root of 137920493793628000 is 516665.6645802255 - Being both a perfect square and a perfect cube, 137920493793628000 is also a
perfect sixth number .
Scales and comparisons
How big is 137920493793628000?- 137,920,493,793,628,000 seconds is equal to 4,385,445,086 years, 28 weeks, 7 hours, 46 minutes, 40 seconds.
-
To count from 1 to 137,920,493,793,628,000 would take you about thirteen billion, one hundred fifty-six million, three hundred thirty-five thousand, two hundred fifty-nine 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 137920493793628000 cubic inches would be around 43055.5 feet tall.
Recreational maths with 137920493793628000
- 137920493793628000 backwards is 000826397394029731
- The number of decimal digits it has is: 18
- The sum of 137920493793628000's digits is 73
- More coming soon!
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Numbermatics. (2024). Number 137920493793628000 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/137920493793628000/
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The information we have on file for 137920493793628000 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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