970668342
970,668,342 is an even composite number composed of six prime numbers multiplied together.
970668342 is an even 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 970668342:
2 × 32 × 72 × 31 × 131 × 271
(2 × 3 × 3 × 7 × 7 × 31 × 131 × 271)See below for interesting mathematical facts about the number 970668342 from the Numbermatics database.
Names of 970668342
- Cardinal: 970668342 can be written as Nine hundred seventy million, six hundred sixty-eight thousand, three hundred forty-two.
Scientific notation
- Scientific notation: 9.70668342 × 108
Factors of 970668342
Divisors of 970668342
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 6 7 9 14 18 21 31 42 49 62 63 93 98 126 131 147 186 217 262 271 279 294 393 434 441 542 558 651 786 813 882 917 1179 1302 1519 1626 1834 1897 1953 2358 2439 2751 3038 3794 3906 4061 4557 4878 5502 5691 6419 8122 8253 8401 9114 11382 12183 12838 13279 13671 16506 16802 17073 19257 24366 25203 26558 27342 28427 34146 35501 36549 38514 39837 50406 56854 57771 58807 71002 73098 75609 79674 85281 106503 115542 117614 119511 151218 170562 176421 198989 213006 239022 248507 255843 319509 352842 397978 411649 497014 511686 529263 596967 639018 745521 823298 1058526 1100531 1193934 1234947 1491042 1739549 1790901 2201062 2236563 2469894 3301593 3479098 3581802 3704841 4473126 5218647 6603186 7409682 7703717 9904779 10437294 15407434 15655941 19809558 23111151 31311882 46222302 53926019 69333453 107852038 138666906 161778057 323556114 485334171 970668342
- Sum of all divisors σ(n): 2554066944
- Sum of proper divisors (its aliquot sum) s(n): 1583398602
- 970668342 is an abundant number, because the sum of its proper divisors (1583398602) is greater than itself. Its abundance is 612730260
Bases of 970668342
- Binary: 1110011101101100111001001101102
- Hexadecimal: 0x39DB3936
- Base-36: G1WSHI
Squares and roots of 970668342
- 970668342 squared (9706683422) is 942197030161028964
- 970668342 cubed (9706683423) is 914560829103729977499857688
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The
square root of 970668342 is 31155.5507414009 -
The
cube root of 970668342 is 990.1255977781
Scales and comparisons
How big is 970668342?- 970,668,342 seconds is equal to 30 years, 44 weeks, 6 days, 14 hours, 5 minutes, 42 seconds.
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To count from 1 to 970,668,342 would take you about forty-six 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 970668342 cubic inches would be around 82.5 feet tall.
Recreational maths with 970668342
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