137014003200
137,014,003,200 is an even composite number composed of six prime numbers multiplied together.
137014003200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 137014003200:
29 × 3 × 52 × 29 × 61 × 2017
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 29 × 61 × 2017)See below for interesting mathematical facts about the number 137014003200 from the Numbermatics database.
Names of 137014003200
- Cardinal: 137014003200 can be written as One hundred thirty-seven billion, fourteen million, three thousand, two hundred.
Scientific notation
- Scientific notation: 1.370140032 × 1011
Factors of 137014003200
Divisors of 137014003200
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 32 40 48 50 58 60 61 64 75 80 87 96 100 116 120 122 128 145 150 160 174 183 192 200 232 240 244 256 290 300 305 320 348 366 384 400 435 464 480 488 512 580 600 610 640 696 725 732 768 800 870 915 928 960 976 1160 1200 1220 1280 1392 1450 1464 1525 1536 1600 1740 1769 1830 1856 1920 1952 2017 2175 2320 2400 2440 2560 2784 2900 2928 3050 3200 3480 3538 3660 3712 3840 3904 4034 4350 4575 4640 4800 4880 5307 5568 5800 5856 6051 6100 6400 6960 7076 7320 7424 7680 7808 8068 8700 8845 9150 9280 9600 9760 10085 10614 11136 11600 11712 12102 12200 12800 13920 14152 14640 14848 15616 16136 17400 17690 18300 18560 19200 19520 20170 21228 22272 23200 23424 24204 24400 26535 27840 28304 29280 30255 31232 32272 34800 35380 36600 37120 38400 39040 40340 42456 44225 44544 46400 46848 48408 48800 50425 53070 55680 56608 58493 58560 60510 64544 69600 70760 73200 74240 78080 80680 84912 88450 92800 93696 96816 97600 100850 106140 111360 113216 116986 117120 121020 123037 129088 132675 139200 141520 146400 151275 156160 161360 169824 175479 176900 185600 193632 195200 201700 212280 222720 226432 233972 234240 242040 246074 258176 265350 278400 283040 292465 292800 302550 322720 339648 350958 353800 369111 371200 387264 390400 403400 424560 452864 467944 468480 484080 492148 516352 530700 556800 566080 584930 585600 605100 615185 645440 679296 701916 707600 738222 774528 780800 806800 849120 877395 905728 935888 968160 984296 1032704 1061400 1113600 1132160 1169860 1171200 1210200 1230370 1290880 1358592 1403832 1415200 1462325 1476444 1549056 1613600 1698240 1754790 1845555 1871776 1936320 1968592 2122800 2264320 2339720 2342400 2420400 2460740 2581760 2717184 2807664 2830400 2924650 2952888 3075925 3098112 3227200 3396480 3509580 3568073 3691110 3743552 3872640 3937184 4245600 4386975 4528640 4679440 4840800 4921480 5163520 5615328 5660800 5849300 5905776 6151850 6454400 6792960 7019160 7136146 7382220 7487104 7745280 7874368 8491200 8773950 9227775 9358880 9681600 9842960 10704219 11230656 11321600 11698600 11811552 12303700 12908800 13585920 14038320 14272292 14764440 14974208 15490560 15748736 16982400 17547900 17840365 18455550 18717760 19363200 19685920 21408438 22461312 22643200 23397200 23623104 24607400 25817600 28076640 28544584 29528880 29948416 31497472 33964800 35095800 35680730 36911100 37435520 38726400 39371840 42816876 44922624 46794400 47246208 49214800 53521095 56153280 57089168 59057760 62994944 67929600 70191600 71361460 73822200 74871040 77452800 78743680 85633752 89201825 89845248 93588800 94492416 98429600 107042190 112306560 114178336 118115520 140383200 142722920 147644400 149742080 157487360 171267504 178403650 187177600 188984832 196859200 214084380 224613120 228356672 236231040 267605475 280766400 285445840 295288800 314974720 342535008 356807300 374355200 393718400 428168760 449226240 456713344 472462080 535210950 561532800 570891680 590577600 685070016 713614600 748710400 787436800 856337520 913426688 944924160 1070421900 1123065600 1141783360 1181155200 1370140032 1427229200 1574873600 1712675040 1826853376 2140843800 2246131200 2283566720 2362310400 2740280064 2854458400 3425350080 4281687600 4567133440 4724620800 5480560128 5708916800 6850700160 8563375200 9134266880 11417833600 13701400320 17126750400 22835667200 27402800640 34253500800 45671334400 68507001600 137014003200
- Sum of all divisors σ(n): 476136444960
- Sum of proper divisors (its aliquot sum) s(n): 339122441760
- 137014003200 is an abundant number, because the sum of its proper divisors (339122441760) is greater than itself. Its abundance is 202108438560
Bases of 137014003200
- Binary: 11111111001101010101111000110000000002
- Hexadecimal: 0x1FE6ABC600
- Base-36: 1QXYLLHC
Squares and roots of 137014003200
- 137014003200 squared (1370140032002) is 18772837072889610240000
- 137014003200 cubed (1370140032003) is 2572141558777975690670112768000000
-
The
square root of 137014003200 is 370154.0263187745 -
The
cube root of 137014003200 is 5155.3123703939
Scales and comparisons
How big is 137014003200?- 137,014,003,200 seconds is equal to 4,356 years, 32 weeks, 2 days, 5 hours, 20 minutes.
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To count from 1 to 137,014,003,200 would take you about eight thousand, seven hundred thirteen 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 137014003200 cubic inches would be around 429.6 feet tall.
Recreational maths with 137014003200
- 137014003200 backwards is 002300410731
- The number of decimal digits it has is: 12
- The sum of 137014003200's digits is 21
- More coming soon!
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