137420416319025
137,420,416,319,025 is an odd composite number composed of six prime numbers multiplied together.
What does the number 137420416319025 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 360 divisors.
137420416319025 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 137420416319025:
3 × 52 × 74 × 19 × 732 × 7537
(3 × 5 × 5 × 7 × 7 × 7 × 7 × 19 × 73 × 73 × 7537)See below for interesting mathematical facts about the number 137420416319025 from the Numbermatics database.
Names of 137420416319025
- Cardinal: 137420416319025 can be written as One hundred thirty-seven trillion, four hundred twenty billion, four hundred sixteen million, three hundred nineteen thousand and twenty-five.
Scientific notation
- Scientific notation: 1.37420416319025 × 1014
Factors of 137420416319025
Divisors of 137420416319025
- Number of divisors d(n): 360
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Complete list of divisors:
1 3 5 7 15 19 21 25 35 49 57 73 75 95 105 133 147 175 219 245 285 343 365 399 475 511 525 665 735 931 1029 1095 1225 1387 1425 1533 1715 1825 1995 2401 2555 2793 3325 3577 3675 4161 4655 5145 5329 5475 6517 6935 7203 7537 7665 8575 9709 9975 10731 12005 12775 13965 15987 17885 19551 20805 22611 23275 25039 25725 26645 29127 32585 34675 36015 37303 37685 38325 45619 48545 52759 53655 60025 67963 69825 75117 79935 89425 97755 101251 104025 111909 113055 125195 133225 136857 143203 145635 158277 162925 175273 180075 186515 188425 203889 228095 242725 261121 263795 268275 303753 339815 369313 375585 399675 429609 475741 488775 506255 525819 550201 559545 565275 625975 684285 708757 716015 728175 783363 791385 876365 932575 1002421 1019445 1107939 1140475 1305605 1318975 1427223 1518765 1650603 1699075 1827847 1846565 1877925 2126271 2148045 2378705 2531275 2585191 2629095 2751005 2797725 3007263 3330187 3421425 3543785 3580075 3851407 3916815 3956925 4381825 4961299 5012105 5097225 5483541 5539695 6528025 7016947 7136115 7593825 7755573 8253015 9139235 9232825 9990561 10453819 10631355 10740225 11554221 11893525 12794929 12925955 13145475 13755025 14883897 15036315 16650935 17718925 18096337 19257035 19584075 21050841 24806495 25060525 26959849 27417705 27698475 31361457 34729093 35084735 35680575 38384787 38777865 40164673 41265075 45696175 49118629 49952805 52269095 53156775 54289011 57771105 63974645 64629775 73176733 74419485 75181575 80879547 83254675 90481685 96285175 104187279 105254205 120494019 124032475 134799245 137088525 147355887 156807285 173645465 175423675 188718943 191923935 193889325 200823365 219530199 243103651 245593145 249764025 261345475 271445055 281152711 288855525 319873225 343830403 365883665 372097425 404397735 452408425 512237131 520936395 526271025 566156829 602470095 673996225 729310953 736779435 763128787 784036425 843458133 868227325 943594715 959619675 1004116825 1031491209 1097650995 1215518255 1227965725 1321032601 1357225275 1405763555 1536711393 1719152015 1829418325 1968068977 2021988675 2289386361 2561185655 2604681975 2830784145 3012350475 3585659917 3646554765 3683897175 3815643935 3963097803 4217290665 4717973575 5157456045 5341901509 5488254975 5904206931 6077591275 6605163005 7028817775 7683556965 8595760075 9840344885 10756979751 11446931805 12805928275 13776482839 14153920725 16025704527 17928299585 18232773825 19078219675 19815489015 21086453325 25099619419 25787280225 26709507545 29521034655 33025815025 37393310563 38417784825 41329448517 49201724425 53784898755 57234659025 68882414195 75298858257 80128522635 89641497925 96435379873 99077445075 112179931689 125498097095 133547537725 147605173275 186966552815 206647242585 261753173941 268924493775 289306139619 344412070975 376494291285 400642613175 482176899365 560899658445 627490485475 785259521823 934832764075 1033236212925 1308765869705 1446530698095 1832272217587 1882471456425 2410884496825 2804498292225 3926297609115 5496816652761 6543829348525 7232653490475 9161361087935 19631488045575 27484083263805 45806805439675 137420416319025
- Sum of all divisors σ(n): 282914945394720
- Sum of proper divisors (its aliquot sum) s(n): 145494529075695
- 137420416319025 is an abundant number, because the sum of its proper divisors (145494529075695) is greater than itself. Its abundance is 8074112756670
Bases of 137420416319025
- Binary: 111110011111011101011110001100101111110001100012
- Hexadecimal: 0x7CFBAF197E31
- Base-36: 1CPM2FSB3L
Squares and roots of 137420416319025
- 137420416319025 squared (1374204163190252) is 18884370821294152530576950625
- 137420416319025 cubed (1374204163190253) is 2595098100185090500382704285966271673140625
-
The
square root of 137420416319025 is 11722645.4488321449 -
The
cube root of 137420416319025 is 51604.0459538843
Scales and comparisons
How big is 137420416319025?- 137,420,416,319,025 seconds is equal to 4,369,544 years, 8 weeks, 5 days, 18 hours, 23 minutes, 45 seconds.
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To count from 1 to 137,420,416,319,025 would take you about ten million, nine hundred twenty-three thousand, eight hundred sixty 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 137420416319025 cubic inches would be around 4300.3 feet tall.
Recreational maths with 137420416319025
- 137420416319025 backwards is 520913614024731
- The number of decimal digits it has is: 15
- The sum of 137420416319025's digits is 48
- More coming soon!
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