987148116
987,148,116 is an even composite number composed of six prime numbers multiplied together.
987148116 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 987148116:
22 × 32 × 19 × 59 × 61 × 401
(2 × 2 × 3 × 3 × 19 × 59 × 61 × 401)See below for interesting mathematical facts about the number 987148116 from the Numbermatics database.
Names of 987148116
- Cardinal: 987148116 can be written as Nine hundred eighty-seven million, one hundred forty-eight thousand, one hundred sixteen.
Scientific notation
- Scientific notation: 9.87148116 × 108
Factors of 987148116
Divisors of 987148116
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 9 12 18 19 36 38 57 59 61 76 114 118 122 171 177 183 228 236 244 342 354 366 401 531 549 684 708 732 802 1062 1098 1121 1159 1203 1604 2124 2196 2242 2318 2406 3363 3477 3599 3609 4484 4636 4812 6726 6954 7198 7218 7619 10089 10431 10797 13452 13908 14396 14436 15238 20178 20862 21594 22857 23659 24461 30476 32391 40356 41724 43188 45714 47318 48922 64782 68381 68571 70977 73383 91428 94636 97844 129564 136762 137142 141954 146766 205143 212931 220149 273524 274284 283908 293532 410286 425862 440298 449521 464759 615429 820572 851724 880596 899042 929518 1230858 1348563 1394277 1443199 1798084 1859036 2461716 2697126 2788554 2886398 4045689 4182831 4329597 5394252 5577108 5772796 8091378 8365662 8659194 12988791 16182756 16731324 17318388 25977582 27420781 51955164 54841562 82262343 109683124 164524686 246787029 329049372 493574058 987148116
- Sum of all divisors σ(n): 2721700800
- Sum of proper divisors (its aliquot sum) s(n): 1734552684
- 987148116 is an abundant number, because the sum of its proper divisors (1734552684) is greater than itself. Its abundance is 747404568
Bases of 987148116
- Binary: 1110101101011010101111010101002
- Hexadecimal: 0x3AD6AF54
- Base-36: GBQ0D0
Squares and roots of 987148116
- 987148116 squared (9871481162) is 974461402922349456
- 987148116 cubed (9871481163) is 961937738009514159784024896
-
The
square root of 987148116 is 31418.9133484913 -
The
cube root of 987148116 is 995.6975541741
Scales and comparisons
How big is 987148116?- 987,148,116 seconds is equal to 31 years, 20 weeks, 1 day, 7 hours, 48 minutes, 36 seconds.
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To count from 1 to 987,148,116 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 987148116 cubic inches would be around 83 feet tall.
Recreational maths with 987148116
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