106997312741085
106,997,312,741,085 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 106997312741085 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 320 divisors.
106997312741085 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 106997312741085:
34 × 5 × 13 × 17 × 97 × 631 × 19531
(3 × 3 × 3 × 3 × 5 × 13 × 17 × 97 × 631 × 19531)See below for interesting mathematical facts about the number 106997312741085 from the Numbermatics database.
Names of 106997312741085
- Cardinal: 106997312741085 can be written as One hundred six trillion, nine hundred ninety-seven billion, three hundred twelve million, seven hundred forty-one thousand and eighty-five.
Scientific notation
- Scientific notation: 1.06997312741085 × 1014
Factors of 106997312741085
Divisors of 106997312741085
- Number of divisors d(n): 320
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Complete list of divisors:
1 3 5 9 13 15 17 27 39 45 51 65 81 85 97 117 135 153 195 221 255 291 351 405 459 485 585 631 663 765 873 1053 1105 1261 1377 1455 1649 1755 1893 1989 2295 2619 3155 3315 3783 4365 4947 5265 5679 5967 6305 6885 7857 8203 8245 9465 9945 10727 11349 13095 14841 17037 17901 18915 19531 21437 24609 24735 28395 29835 32181 34047 39285 41015 44523 51111 53635 56745 58593 61207 64311 73827 74205 85185 89505 96543 97655 102141 107185 123045 133569 139451 160905 170235 175779 183621 192933 221481 222615 253903 255555 289629 292965 306035 321555 332027 369135 418353 482715 510705 527337 550863 578799 664443 667845 697255 761709 795691 868887 878895 918105 964665 996081 1040519 1107405 1255059 1269515 1448145 1582011 1652589 1660135 1736397 1894507 2091765 2285127 2387073 2636685 2754315 2893995 2988243 3121557 3322215 3765177 3808545 3978455 4316351 4344435 4957767 4980405 5202595 5683521 6275295 6855381 7161219 7910055 8262945 8681985 8964729 9364671 9472535 11295531 11425635 11935365 12324061 12949053 13526747 14941215 15607785 17050563 18825885 20566143 21483657 21581755 24628591 24788835 26894187 28094013 28417605 32206619 34276905 35806095 36972183 38847159 40580241 44823645 46823355 51151689 56477655 61620305 64450971 64745265 67633735 73885773 84282039 85252815 96619857 102830715 107418285 110916549 116541477 121740723 123142955 134470935 140470065 153455067 160212793 161033095 184860915 194235795 202901205 209509037 221657319 255758445 289859571 322254855 332749647 349624431 365222169 369428865 418686047 421410195 480638379 483099285 554582745 582707385 608703615 628527111 664971957 767275335 801063965 869578713 998248941 1047545185 1095666507 1108286595 1195433917 1256058141 1441915137 1449297855 1663748235 1748122155 1826110845 1885581333 1994915871 2093430235 2403191895 2608736139 2723617481 3142635555 3324859785 3586301751 3768174423 4325745411 4347893565 4991244705 5478332535 5656743999 5977169585 6280290705 7209575685 8170852443 9427906665 9974579355 10758905253 11304523269 12977236233 13043680695 13618087405 15540640921 16970231997 17931508755 18840872115 20322376589 21628727055 24512557329 28283719995 32276715759 33913569807 40854262215 46621922763 53794526265 56522616345 60967129767 64886181165 73537671987 77703204605 84851159985 96830147277 101611882945 122562786645 139865768289 161383578795 169567849035 182901389301 220613015961 233109613815 264190895657 304835648835 367688359935 419597304867 484150736385 548704167903 699328841445 792572686971 914506946505 1103065079805 1258791914601 1320954478285 1646112503709 2097986524335 2377718060913 2743520839515 3962863434855 6293959573005 7133154182739 8230562518545 11888590304565 21399462548217 35665770913695 106997312741085
- Sum of all divisors σ(n): 221323245986304
- Sum of proper divisors (its aliquot sum) s(n): 114325933245219
- 106997312741085 is an abundant number, because the sum of its proper divisors (114325933245219) is greater than itself. Its abundance is 7328620504134
Bases of 106997312741085
- Binary: 110000101010000010000001101000101011110110111012
- Hexadecimal: 0x615040D15EDD
- Base-36: 11XDVXF0T9
Squares and roots of 106997312741085
- 106997312741085 squared (1069973127410852) is 11448424933813550476246977225
- 106997312741085 cubed (1069973127410853) is 1224950703036083802209961465889710316789125
-
The
square root of 106997312741085 is 10343950.5384106029 -
The
cube root of 106997312741085 is 47474.1965472467
Scales and comparisons
How big is 106997312741085?- 106,997,312,741,085 seconds is equal to 3,402,183 years, 30 weeks, 1 day, 9 hours, 24 minutes, 45 seconds.
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To count from 1 to 106,997,312,741,085 would take you about eight million, five hundred five 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 106997312741085 cubic inches would be around 3956.2 feet tall.
Recreational maths with 106997312741085
- 106997312741085 backwards is 580147213799601
- The number of decimal digits it has is: 15
- The sum of 106997312741085's digits is 63
- More coming soon!
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