997083945
997,083,945 is an odd composite number composed of six prime numbers multiplied together.
997083945 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 997083945:
33 × 5 × 11 × 132 × 29 × 137
(3 × 3 × 3 × 5 × 11 × 13 × 13 × 29 × 137)See below for interesting mathematical facts about the number 997083945 from the Numbermatics database.
Names of 997083945
- Cardinal: 997083945 can be written as Nine hundred ninety-seven million, eighty-three thousand, nine hundred forty-five.
Scientific notation
- Scientific notation: 9.97083945 × 108
Factors of 997083945
Divisors of 997083945
- Number of divisors d(n): 192
-
Complete list of divisors:
1 3 5 9 11 13 15 27 29 33 39 45 55 65 87 99 117 135 137 143 145 165 169 195 261 297 319 351 377 411 429 435 495 507 585 685 715 783 845 957 1131 1233 1287 1305 1485 1507 1521 1595 1755 1781 1859 1885 2055 2145 2535 2871 3393 3699 3861 3915 3973 4147 4521 4563 4785 4901 5343 5577 5655 6165 6435 7535 7605 8613 8905 9295 10179 11919 12441 13563 14355 14703 16029 16731 16965 18495 19305 19591 19865 20735 22605 22815 23153 24505 26715 27885 35757 37323 40689 43065 43703 44109 48087 50193 50895 51649 53911 58773 59595 62205 67815 69459 73515 80145 83655 97955 107271 111969 115765 131109 132327 154947 161733 176319 178785 186615 203445 208377 218515 220545 240435 250965 254683 258245 269555 293865 347295 393327 464841 485199 528957 536355 559845 568139 625131 655545 661635 671437 764049 774735 808665 881595 1041885 1179981 1273415 1394523 1455597 1704417 1966635 2014311 2292147 2324205 2425995 2644785 2840695 3125655 3357185 3820245 5113251 5899905 6042933 6876441 6972615 7277985 7385807 8522085 10071555 11460735 15339753 18128799 22157421 25566255 30214665 34382205 36929035 66472263 76698765 90643995 110787105 199416789 332361315 997083945
- Sum of all divisors σ(n): 2181945600
- Sum of proper divisors (its aliquot sum) s(n): 1184861655
- 997083945 is an abundant number, because the sum of its proper divisors (1184861655) is greater than itself. Its abundance is 187777710
Bases of 997083945
- Binary: 1110110110111001001011001010012
- Hexadecimal: 0x3B6E4B29
- Base-36: GHMYW9
Squares and roots of 997083945
- 997083945 squared (9970839452) is 994176393376763025
- 997083945 cubed (9970839453) is 991277320333974748297133625
-
The
square root of 997083945 is 31576.6360621267 -
The
cube root of 997083945 is 999.0270353135
Scales and comparisons
How big is 997083945?- 997,083,945 seconds is equal to 31 years, 36 weeks, 4 days, 7 hours, 45 minutes, 45 seconds.
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To count from 1 to 997,083,945 would take you about forty-seven 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 997083945 cubic inches would be around 83.3 feet tall.
Recreational maths with 997083945
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