72966081825
72,966,081,825 is an odd composite number composed of seven prime numbers multiplied together.
72966081825 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 72966081825:
34 × 52 × 7 × 13 × 31 × 53 × 241
(3 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 31 × 53 × 241)See below for interesting mathematical facts about the number 72966081825 from the Numbermatics database.
Names of 72966081825
- Cardinal: 72966081825 can be written as Seventy-two billion, nine hundred sixty-six million, eighty-one thousand, eight hundred twenty-five.
Scientific notation
- Scientific notation: 7.2966081825 × 1010
Factors of 72966081825
Divisors of 72966081825
- Number of divisors d(n): 480
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Complete list of divisors:
1 3 5 7 9 13 15 21 25 27 31 35 39 45 53 63 65 75 81 91 93 105 117 135 155 159 175 189 195 217 225 241 265 273 279 315 325 351 371 403 405 455 465 477 525 567 585 651 675 689 723 775 795 819 837 945 975 1053 1085 1113 1205 1209 1325 1365 1395 1431 1575 1643 1687 1755 1855 1953 2015 2025 2067 2169 2275 2325 2385 2457 2511 2821 2835 2925 3133 3255 3339 3445 3615 3627 3975 4095 4185 4293 4725 4823 4929 5061 5265 5425 5565 5859 6025 6045 6201 6507 6825 6975 7155 7371 7471 8215 8435 8463 8775 9275 9399 9765 10017 10075 10335 10845 10881 11501 11925 12285 12555 12773 14105 14175 14469 14787 15183 15665 16275 16695 17225 17577 18075 18135 18603 19521 20475 20925 21359 21465 21931 22413 24115 24645 25305 25389 26325 27825 28197 29295 30051 30225 31005 32535 32643 34503 35775 36855 37355 38319 41075 42175 42315 43407 44361 45549 46995 48825 50085 51675 52297 54225 54405 55809 57505 61425 62775 63865 64077 65793 67239 70525 72345 73935 75915 76167 78325 83475 84591 87885 89411 90675 93015 97123 97605 103509 106795 107325 109655 112065 114957 120575 123225 126525 126945 130221 133083 136647 140985 146475 149513 150255 155025 156891 162675 163215 166049 172515 184275 186775 191595 192231 197379 201717 211575 217035 221805 227745 228501 234975 250425 253773 261485 268233 272025 279045 287525 291369 310527 319325 320385 328965 336195 344871 361725 369675 379575 380835 390663 395963 422955 439425 447055 448539 465075 470673 485615 488025 498147 517545 533975 548275 560325 574785 576693 592137 605151 634725 651105 665415 679861 683235 704925 747565 751275 784455 804699 816075 830245 862575 874107 931581 957975 961155 986895 1008585 1034613 1085175 1109025 1138725 1142505 1162343 1187889 1268865 1307425 1341165 1345617 1395225 1412019 1456845 1494441 1552635 1601925 1644825 1680975 1724355 1730079 1776411 1904175 1953315 1979815 2039583 2114775 2235275 2242695 2353365 2414097 2428075 2490735 2587725 2622321 2771741 2873925 2883465 2960685 3025755 3255525 3327075 3399305 3416175 3487029 3563667 3737825 3922275 4023495 4036851 4151225 4236057 4370535 4483323 4657905 4805775 4934475 5042925 5147519 5173065 5712525 5811715 5939445 6118749 6344325 6705825 6728085 7060095 7242291 7284225 7472205 7763175 7866963 8315223 8621775 8650395 8882055 9766575 9899075 10197915 10461087 10691001 11213475 11766825 12070485 12110553 12453675 13111605 13449969 13858705 14417325 14803425 15128775 15442557 16996525 17435145 17818335 18356247 20117475 20184255 21180285 21852675 22416615 23289525 24945669 25737595 25865325 29058575 29697225 30593745 31383261 32073003 33640425 35300475 36032633 36211455 37361025 39334815 41576115 43251975 44410275 46327671 50989575 52305435 53455005 55068741 60352425 60552765 65558025 67249845 69293525 74837007 77212785 87175725 89091675 91781235 94149783 100921275 105901425 108097899 112083075 124728345 128687975 138983013 152968725 156916305 160365015 180163165 181057275 196674075 207880575 224511021 231638355 261527175 267275025 275343705 302763825 324293697 336249225 374185035 386063925 416949039 458906175 470748915 540489495 623641725 694915065 784581525 801825075 900815825 972881091 1122555105 1158191775 1376718525 1621468485 1870925175 2084745195 2353744575 2702447475 2918643273 3474575325 4864405455 5612775525 8107342425 10423725975 14593216365 24322027275 72966081825
- Sum of all divisors σ(n): 175680755712
- Sum of proper divisors (its aliquot sum) s(n): 102714673887
- 72966081825 is an abundant number, because the sum of its proper divisors (102714673887) is greater than itself. Its abundance is 29748592062
Bases of 72966081825
- Binary: 10000111111010001111000001101001000012
- Hexadecimal: 0x10FD1E0D21
- Base-36: XIQ4D29
Squares and roots of 72966081825
- 72966081825 squared (729660818252) is 5324049096892595330625
- 72966081825 cubed (729660818253) is 388475002044182464130996678390625
-
The
square root of 72966081825 is 270122.3460304609 -
The
cube root of 72966081825 is 4178.6918104511
Scales and comparisons
How big is 72966081825?- 72,966,081,825 seconds is equal to 2,320 years, 4 weeks, 6 days, 20 hours, 3 minutes, 45 seconds.
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To count from 1 to 72,966,081,825 would take you about four thousand, six hundred forty 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 72966081825 cubic inches would be around 348.2 feet tall.
Recreational maths with 72966081825
- 72966081825 backwards is 52818066927
- The number of decimal digits it has is: 11
- The sum of 72966081825's digits is 54
- More coming soon!
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