972020480
972,020,480 is an even composite number composed of five prime numbers multiplied together.
972020480 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 972020480:
28 × 5 × 23 × 137 × 241
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 23 × 137 × 241)See below for interesting mathematical facts about the number 972020480 from the Numbermatics database.
Names of 972020480
- Cardinal: 972020480 can be written as Nine hundred seventy-two million, twenty thousand, four hundred eighty.
Scientific notation
- Scientific notation: 9.7202048 × 108
Factors of 972020480
Divisors of 972020480
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 137 160 184 230 241 256 274 320 368 460 482 548 640 685 736 920 964 1096 1205 1280 1370 1472 1840 1928 2192 2410 2740 2944 3151 3680 3856 4384 4820 5480 5543 5888 6302 7360 7712 8768 9640 10960 11086 12604 14720 15424 15755 17536 19280 21920 22172 25208 27715 29440 30848 31510 33017 35072 38560 43840 44344 50416 55430 61696 63020 66034 77120 87680 88688 100832 110860 126040 132068 154240 165085 175360 177376 201664 221720 252080 264136 308480 330170 354752 403328 443440 504160 528272 660340 709504 759391 806656 886880 1008320 1056544 1320680 1419008 1518782 1773760 2016640 2113088 2641360 3037564 3547520 3796955 4033280 4226176 5282720 6075128 7095040 7593910 8452352 10565440 12150256 15187820 21130880 24300512 30375640 42261760 48601024 60751280 97202048 121502560 194404096 243005120 486010240 972020480
- Sum of all divisors σ(n): 2457411264
- Sum of proper divisors (its aliquot sum) s(n): 1485390784
- 972020480 is an abundant number, because the sum of its proper divisors (1485390784) is greater than itself. Its abundance is 513370304
Bases of 972020480
- Binary: 1110011110111111011011000000002
- Hexadecimal: 0x39EFDB00
- Base-36: G2PRSW
Squares and roots of 972020480
- 972020480 squared (9720204802) is 944823813539430400
- 972020480 cubed (9720204803) is 918388096752027636334592000
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The
square root of 972020480 is 31177.2429826629 -
The
cube root of 972020480 is 990.5851317667
Scales and comparisons
How big is 972020480?- 972,020,480 seconds is equal to 30 years, 47 weeks, 1 day, 5 hours, 41 minutes, 20 seconds.
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To count from 1 to 972,020,480 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 972020480 cubic inches would be around 82.5 feet tall.
Recreational maths with 972020480
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