137134668825
137,134,668,825 is an odd composite number composed of seven prime numbers multiplied together.
137134668825 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 137134668825:
32 × 52 × 7 × 11 × 172 × 61 × 449
(3 × 3 × 5 × 5 × 7 × 11 × 17 × 17 × 61 × 449)See below for interesting mathematical facts about the number 137134668825 from the Numbermatics database.
Names of 137134668825
- Cardinal: 137134668825 can be written as One hundred thirty-seven billion, one hundred thirty-four million, six hundred sixty-eight thousand, eight hundred twenty-five.
Scientific notation
- Scientific notation: 1.37134668825 × 1011
Factors of 137134668825
Divisors of 137134668825
- Number of divisors d(n): 432
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Complete list of divisors:
1 3 5 7 9 11 15 17 21 25 33 35 45 51 55 61 63 75 77 85 99 105 119 153 165 175 183 187 225 231 255 275 289 305 315 357 385 425 427 449 495 525 549 561 595 671 693 765 825 867 915 935 1037 1071 1155 1275 1281 1309 1347 1445 1525 1575 1683 1785 1925 2013 2023 2135 2245 2475 2601 2745 2805 2975 3111 3143 3179 3355 3465 3825 3843 3927 4041 4335 4575 4675 4697 4939 5185 5355 5775 6039 6069 6405 6545 6735 7225 7259 7633 8415 8925 9333 9429 9537 10065 10115 10675 11225 11407 11781 13005 13725 14025 14091 14817 15555 15715 15895 16775 17325 17629 18207 19215 19635 20205 21675 21777 22253 22899 23485 24695 25925 26775 27389 28287 28611 30195 30345 32025 32725 33675 34221 34573 36295 38165 42075 42273 44451 46665 47145 47685 50325 50575 52887 53431 57035 58905 65025 65331 66759 68697 70455 74085 77775 78575 79475 79849 82167 83963 88145 91035 96075 98175 101025 102663 103719 108885 111265 114495 117425 123403 123475 129761 136945 141435 143055 150975 151725 158661 160293 171105 172865 181475 190825 191723 193919 200277 211365 222255 233325 235725 238425 239547 246501 251889 264435 267155 285175 294525 301279 311157 326655 333795 343485 352275 370209 370425 389283 399245 410835 419815 440725 455175 465613 480879 513315 518595 544425 556325 572475 575169 581757 587741 617015 648805 684725 707175 715275 718641 755667 793305 801465 855525 864325 903837 908327 958615 969595 1001385 1056825 1110627 1111275 1167849 1197735 1232505 1259445 1322175 1335775 1357433 1396839 1427371 1506395 1555785 1633275 1668975 1717425 1725507 1745271 1763223 1851045 1946415 1996225 2054175 2099075 2108953 2328065 2404395 2566575 2592975 2711511 2724981 2875845 2908785 2938705 3085075 3244025 3259291 3593205 3778335 3966525 4007325 4072299 4190517 4282113 4519185 4541635 4793075 4847975 5006925 5121743 5289669 5553135 5839245 5988675 6162525 6297225 6326859 6787165 6984195 7136855 7531975 7778925 7915421 8174943 8627535 8726355 8816115 9255225 9732075 9777873 9991597 10544765 11640325 12021975 12216897 12846339 13557555 13624905 14379225 14543925 14693525 15365229 16296455 17966025 18891675 18980577 20361495 20952585 21410565 22595925 22708175 23746263 25608715 26448345 27765675 29196225 29333619 29974791 31634295 33935825 34920975 35684275 35852201 39577105 40874715 43137675 43631775 44080575 46095687 48889365 49957985 52723825 55407947 61084485 64231695 67787775 68124525 71238789 76826145 81482275 87069631 89924373 94902885 101807475 104762925 107052825 107556603 118731315 128043575 132241725 146668095 149873955 158171475 166223841 179261005 197885525 204373575 230478435 244446825 249789925 261208893 277039735 305422425 321158475 322669809 356193945 384130725 435348155 449621865 474514425 498671523 537783015 593656575 609487417 733340475 749369775 783626679 831119205 896305025 1152392175 1306044465 1385198675 1613349045 1780969725 1828462251 2176740775 2248109325 2493357615 2688915075 3047437085 3918133395 4155596025 5485386753 6530222325 8066745225 9142311255 12466788075 15237185425 19590666975 27426933765 45711556275 137134668825
- Sum of all divisors σ(n): 331374326400
- Sum of proper divisors (its aliquot sum) s(n): 194239657575
- 137134668825 is an abundant number, because the sum of its proper divisors (194239657575) is greater than itself. Its abundance is 57104988750
Bases of 137134668825
- Binary: 11111111011011101110011111100000110012
- Hexadecimal: 0x1FEDDCFC19
- Base-36: 1QZYFVO9
Squares and roots of 137134668825
- 137134668825 squared (1371346688252) is 18805917393742426880625
- 137134668825 cubed (1371346688253) is 2578943253741174837626287184015625
-
The
square root of 137134668825 is 370316.9842513303 -
The
cube root of 137134668825 is 5156.8253215017
Scales and comparisons
How big is 137134668825?- 137,134,668,825 seconds is equal to 4,360 years, 23 weeks, 5 days, 19 hours, 33 minutes, 45 seconds.
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To count from 1 to 137,134,668,825 would take you about eight thousand, seven hundred twenty 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 137134668825 cubic inches would be around 429.7 feet tall.
Recreational maths with 137134668825
- 137134668825 backwards is 528866431731
- The number of decimal digits it has is: 12
- The sum of 137134668825's digits is 54
- More coming soon!
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