137214076855200
137,214,076,855,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 137214076855200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 288 divisors.
137214076855200 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 137214076855200:
25 × 3 × 52 × 17 × 79 × 42570761
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 17 × 79 × 42570761)See below for interesting mathematical facts about the number 137214076855200 from the Numbermatics database.
Names of 137214076855200
- Cardinal: 137214076855200 can be written as One hundred thirty-seven trillion, two hundred fourteen billion, seventy-six million, eight hundred fifty-five thousand, two hundred.
Scientific notation
- Scientific notation: 1.372140768552 × 1014
Factors of 137214076855200
Divisors of 137214076855200
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 68 75 79 80 85 96 100 102 120 136 150 158 160 170 200 204 237 240 255 272 300 316 340 395 400 408 425 474 480 510 544 600 632 680 790 800 816 850 948 1020 1185 1200 1264 1275 1343 1360 1580 1632 1700 1896 1975 2040 2370 2400 2528 2550 2686 2720 3160 3400 3792 3950 4029 4080 4740 5100 5372 5925 6320 6715 6800 7584 7900 8058 8160 9480 10200 10744 11850 12640 13430 13600 15800 16116 18960 20145 20400 21488 23700 26860 31600 32232 33575 37920 40290 40800 42976 47400 53720 63200 64464 67150 80580 94800 100725 107440 128928 134300 161160 189600 201450 214880 268600 322320 402900 537200 644640 805800 1074400 1611600 3223200 42570761 85141522 127712283 170283044 212853805 255424566 340566088 425707610 510849132 638561415 681132176 723702937 851415220 1021698264 1064269025 1277122830 1362264352 1447405874 1702830440 2043396528 2128538050 2171108811 2554245660 2894811748 3192807075 3363090119 3405660880 3618514685 4086793056 4257076100 4342217622 5108491320 5789623496 6385614150 6726180238 6811321760 7237029370 8514152200 8684435244 10089270357 10216982640 10855544055 11579246992 12771228300 13452360476 14474058740 16815450595 17028304400 17368870488 18092573425 20178540714 20433965280 21711088110 23158493984 25542456600 26904720952 28948117480 33630901190 34056608800 34737740976 36185146850 40357081428 43422176220 50446351785 51084913200 53809441904 54277720275 57172532023 57896234960 67261802380 69475481952 72370293700 80714162856 84077252975 86844352440 100892703570 102169826400 107618883808 108555440550 114345064046 115792469920 134523604760 144740587400 161428325712 168154505950 171517596069 173688704880 201785407140 217110881100 228690128092 252231758925 269047209520 285862660115 289481174800 322856651424 336309011900 343035192138 347377409760 403570814280 434221762200 457380256184 504463517850 538094419040 571725320230 578962349600 672618023800 686070384276 807141628560 857587980345 868443524400 914760512368 1008927035700 1143450640460 1345236047600 1372140768552 1429313300575 1614283257120 1715175960690 1736887048800 1829521024736 2017854071400 2286901280920 2690472095200 2744281537104 2858626601150 3430351921380 4035708142800 4287939901725 4573802561840 5488563074208 5717253202300 6860703842760 8071416285600 8575879803450 9147605123680 11434506404600 13721407685520 17151759606900 22869012809200 27442815371040 34303519213800 45738025618400 68607038427600 137214076855200
- Sum of all divisors σ(n): 478890421551360
- Sum of proper divisors (its aliquot sum) s(n): 341676344696160
- 137214076855200 is an abundant number, because the sum of its proper divisors (341676344696160) is greater than itself. Its abundance is 204462267840960
Bases of 137214076855200
- Binary: 111110011001011101001000100111100100011101000002
- Hexadecimal: 0x7CCBA44F23A0
- Base-36: 1CMZ9YLHUO
Squares and roots of 137214076855200
- 137214076855200 squared (1372140768552002) is 18827702887224732321767040000
- 137214076855200 cubed (1372140768552003) is 2583425870974525359033190162430212608000000
-
The
square root of 137214076855200 is 11713841.2510670469 -
The
cube root of 137214076855200 is 51578.2048518649
Scales and comparisons
How big is 137214076855200?- 137,214,076,855,200 seconds is equal to 4,362,983 years, 11 weeks, 12 hours, 40 minutes.
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To count from 1 to 137,214,076,855,200 would take you about ten million, nine hundred seven thousand, four hundred fifty-eight 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 137214076855200 cubic inches would be around 4298.2 feet tall.
Recreational maths with 137214076855200
- 137214076855200 backwards is 002558670412731
- 137214076855200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137214076855200's digits is 51
- More coming soon!
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