668460672
668,460,672 is an even composite number composed of six prime numbers multiplied together.
668460672 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 668460672:
27 × 32 × 11 × 17 × 29 × 107
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 17 × 29 × 107)See below for interesting mathematical facts about the number 668460672 from the Numbermatics database.
Names of 668460672
- Cardinal: 668460672 can be written as Six hundred sixty-eight million, four hundred sixty thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 6.68460672 × 108
Factors of 668460672
Divisors of 668460672
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 17 18 22 24 29 32 33 34 36 44 48 51 58 64 66 68 72 87 88 96 99 102 107 116 128 132 136 144 153 174 176 187 192 198 204 214 232 261 264 272 288 306 319 321 348 352 374 384 396 408 428 464 493 522 528 544 561 576 612 638 642 696 704 748 792 816 856 928 957 963 986 1044 1056 1088 1122 1152 1177 1224 1276 1284 1392 1408 1479 1496 1584 1632 1683 1712 1819 1856 1914 1926 1972 2088 2112 2176 2244 2354 2448 2552 2568 2784 2871 2958 2992 3103 3168 3264 3366 3424 3531 3638 3712 3828 3852 3944 4176 4224 4437 4488 4708 4896 5104 5136 5423 5457 5568 5742 5916 5984 6206 6336 6528 6732 6848 7062 7276 7656 7704 7888 8352 8874 8976 9309 9416 9792 10208 10272 10593 10846 10914 11136 11484 11832 11968 12412 12672 13464 13696 14124 14552 15312 15408 15776 16269 16371 16704 17748 17952 18618 18832 19584 20009 20416 20544 21186 21692 21828 22968 23664 23936 24824 26928 27927 28248 29104 30624 30816 31552 32538 32742 33408 34133 35496 35904 37236 37664 40018 40832 41088 42372 43384 43656 45936 47328 48807 49648 52751 53856 55854 56496 58208 60027 61248 61632 63104 65076 65484 68266 70992 71808 74472 75328 80036 84744 86768 87312 91872 94656 97614 99296 102399 105502 107712 111708 112992 116416 120054 122496 123264 130152 130968 136532 141984 148944 150656 158253 160072 169488 173536 174624 180081 183744 189312 195228 198592 204798 211004 215424 223416 225984 232832 240108 260304 261936 273064 283968 297888 307197 316506 320144 338976 347072 349248 360162 367488 390456 397184 409596 422008 446832 451968 474759 480216 520608 523872 546128 567936 580261 595776 614394 633012 640288 677952 694144 698496 720324 780912 819192 844016 893664 949518 960432 1041216 1047744 1092256 1160522 1191552 1228788 1266024 1280576 1355904 1440648 1561824 1638384 1688032 1740783 1787328 1899036 1920864 2082432 2095488 2184512 2321044 2457576 2532048 2561152 2881296 3123648 3276768 3376064 3481566 3574656 3798072 3841728 4369024 4642088 4915152 5064096 5222349 5762592 6247296 6553536 6752128 6963132 7596144 7683456 9284176 9830304 10128192 10444698 11525184 13107072 13926264 15192288 18568352 19660608 20256384 20889396 23050368 27852528 30384576 37136704 39321216 41778792 55705056 60769152 74273408 83557584 111410112 167115168 222820224 334230336 668460672
- Sum of all divisors σ(n): 2319969600
- Sum of proper divisors (its aliquot sum) s(n): 1651508928
- 668460672 is an abundant number, because the sum of its proper divisors (1651508928) is greater than itself. Its abundance is 983048256
Bases of 668460672
- Binary: 1001111101011111100110100000002
- Hexadecimal: 0x27D7E680
- Base-36: B1ZFK0
Squares and roots of 668460672
- 668460672 squared (6684606722) is 446839670010691584
- 668460672 cubed (6684606723) is 298694746091605143425384448
-
The
square root of 668460672 is 25854.6063980871 -
The
cube root of 668460672 is 874.3633668967
Scales and comparisons
How big is 668460672?- 668,460,672 seconds is equal to 21 years, 13 weeks, 1 day, 19 hours, 31 minutes, 12 seconds.
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To count from 1 to 668,460,672 would take you about thirty-one 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 668460672 cubic inches would be around 72.9 feet tall.
Recreational maths with 668460672
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