380989917
380,989,917 is an odd composite number composed of six prime numbers multiplied together.
380989917 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 380989917:
32 × 7 × 112 × 23 × 41 × 53
(3 × 3 × 7 × 11 × 11 × 23 × 41 × 53)See below for interesting mathematical facts about the number 380989917 from the Numbermatics database.
Names of 380989917
- Cardinal: 380989917 can be written as Three hundred eighty million, nine hundred eighty-nine thousand, nine hundred seventeen.
Scientific notation
- Scientific notation: 3.80989917 × 108
Factors of 380989917
Divisors of 380989917
- Number of divisors d(n): 144
-
Complete list of divisors:
1 3 7 9 11 21 23 33 41 53 63 69 77 99 121 123 159 161 207 231 253 287 363 369 371 451 477 483 583 693 759 847 861 943 1089 1113 1219 1353 1449 1749 1771 2173 2277 2541 2583 2783 2829 3157 3339 3657 4059 4081 4961 5247 5313 6413 6519 6601 7623 8349 8487 8533 9471 10373 10971 12243 13409 14883 15211 15939 19239 19481 19557 19803 23903 25047 25599 28413 31119 34727 36729 40227 44649 44891 45633 49979 57717 58443 59409 71709 72611 76797 93357 93863 104181 114103 120681 134673 136899 147499 149937 167321 175329 215127 217833 262933 281589 312543 342309 349853 404019 442497 449811 501963 549769 653499 788799 798721 844767 1026927 1032493 1049559 1327491 1505889 1649307 1840531 2366397 2396163 3097479 3148677 3848383 4947921 5521593 6047459 7188489 9292437 11545149 16564779 18142377 34635447 42332213 54427131 126996639 380989917
- Sum of all divisors σ(n): 752903424
- Sum of proper divisors (its aliquot sum) s(n): 371913507
- 380989917 is a deficient number, because the sum of its proper divisors (371913507) is less than itself. Its deficiency is 9076410
Bases of 380989917
- Binary: 101101011010101110001110111012
- Hexadecimal: 0x16B571DD
- Base-36: 6ATXP9
Squares and roots of 380989917
- 380989917 squared (3809899172) is 145153316855666889
- 380989917 cubed (3809899173) is 55301950141115229019758213
-
The
square root of 380989917 is 19518.9630103651 -
The
cube root of 380989917 is 724.9440571975
Scales and comparisons
How big is 380989917?- 380,989,917 seconds is equal to 12 years, 5 weeks, 6 days, 14 hours, 31 minutes, 57 seconds.
-
To count from 1 to 380,989,917 would take you about eighteen 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 380989917 cubic inches would be around 60.4 feet tall.
Recreational maths with 380989917
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