997214946
997,214,946 is an even composite number composed of seven prime numbers multiplied together.
997214946 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 997214946:
2 × 3 × 7 × 13 × 61 × 79 × 379
See below for interesting mathematical facts about the number 997214946 from the Numbermatics database.
Names of 997214946
- Cardinal: 997214946 can be written as Nine hundred ninety-seven million, two hundred fourteen thousand, nine hundred forty-six.
Scientific notation
- Scientific notation: 9.97214946 × 108
Factors of 997214946
Divisors of 997214946
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 3 6 7 13 14 21 26 39 42 61 78 79 91 122 158 182 183 237 273 366 379 427 474 546 553 758 793 854 1027 1106 1137 1281 1586 1659 2054 2274 2379 2562 2653 3081 3318 4758 4819 4927 5306 5551 6162 7189 7959 9638 9854 11102 14378 14457 14781 15918 16653 21567 23119 28914 29562 29941 33306 33733 34489 43134 46238 59882 62647 67466 68978 69357 89823 101199 103467 125294 138714 161833 179646 187941 202398 206934 209587 300547 323666 375882 389233 419174 438529 485499 601094 628761 778466 877058 901641 970998 1167699 1257522 1315587 1803282 1826401 2103829 2335398 2631174 2724631 3652802 4207658 5449262 5479203 6311487 8173893 10958406 12622974 12784807 16347786 23743213 25569614 38354421 47486426 71229639 76708842 142459278 166202491 332404982 498607473 997214946
- Sum of all divisors σ(n): 2533171200
- Sum of proper divisors (its aliquot sum) s(n): 1535956254
- 997214946 is an abundant number, because the sum of its proper divisors (1535956254) is greater than itself. Its abundance is 538741308
Bases of 997214946
- Binary: 1110110111000001001010111000102
- Hexadecimal: 0x3B704AE2
- Base-36: GHPRZ6
Squares and roots of 997214946
- 997214946 squared (9972149462) is 994437648525782916
- 997214946 cubed (9972149463) is 991668085975005590186662536
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The
square root of 997214946 is 31578.7103283209 -
The
cube root of 997214946 is 999.0707854945
Scales and comparisons
How big is 997214946?- 997,214,946 seconds is equal to 31 years, 36 weeks, 5 days, 20 hours, 9 minutes, 6 seconds.
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To count from 1 to 997,214,946 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 997214946 cubic inches would be around 83.3 feet tall.
Recreational maths with 997214946
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