468742428
468,742,428 is an even composite number composed of six prime numbers multiplied together.
468742428 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 468742428:
22 × 32 × 74 × 11 × 17 × 29
(2 × 2 × 3 × 3 × 7 × 7 × 7 × 7 × 11 × 17 × 29)See below for interesting mathematical facts about the number 468742428 from the Numbermatics database.
Names of 468742428
- Cardinal: 468742428 can be written as Four hundred sixty-eight million, seven hundred forty-two thousand, four hundred twenty-eight.
Scientific notation
- Scientific notation: 4.68742428 × 108
Factors of 468742428
Divisors of 468742428
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 3 4 6 7 9 11 12 14 17 18 21 22 28 29 33 34 36 42 44 49 51 58 63 66 68 77 84 87 98 99 102 116 119 126 132 147 153 154 174 187 196 198 203 204 231 238 252 261 294 306 308 319 343 348 357 374 396 406 441 462 476 493 522 539 561 588 609 612 638 686 693 714 748 812 833 882 924 957 986 1029 1044 1071 1078 1122 1218 1276 1309 1372 1386 1421 1428 1479 1617 1666 1683 1764 1827 1914 1972 2058 2142 2156 2233 2244 2401 2436 2499 2618 2772 2842 2871 2958 3087 3234 3332 3366 3451 3654 3773 3828 3927 4116 4263 4284 4437 4466 4802 4851 4998 5236 5423 5684 5742 5831 5916 6174 6468 6699 6732 6902 7203 7308 7497 7546 7854 8526 8874 8932 9163 9604 9702 9947 9996 10353 10846 11319 11484 11662 11781 12348 12789 13398 13804 14406 14994 15092 15631 15708 16269 17052 17493 17748 18326 19404 19894 20097 20706 21609 21692 22638 23324 23562 24157 25578 26411 26796 27489 28812 29841 29988 31059 31262 32538 33957 34986 36652 37961 39788 40194 40817 41412 43218 45276 46893 47124 48314 48807 51156 52479 52822 54978 59682 62118 62524 64141 65076 67914 69629 69972 72471 75922 79233 80388 81634 82467 86436 89523 93786 96628 97614 104958 105644 109417 109956 113883 119364 122451 124236 128282 135828 139258 140679 144942 151844 158466 163268 164934 169099 179046 187572 192423 195228 208887 209916 217413 218834 227766 237699 244902 256564 265727 278516 281358 289884 316932 328251 329868 338198 341649 358092 367353 384846 417774 434826 437668 448987 455532 475398 489804 507297 531454 562716 577269 626661 656502 676396 683298 734706 765919 769692 797181 835548 869652 897974 950796 984753 1014594 1062908 1154538 1183693 1253322 1313004 1346961 1366596 1469412 1521891 1531838 1594362 1795948 1860089 1969506 2029188 2297757 2309076 2367386 2391543 2506644 2693922 3043782 3063676 3188724 3551079 3720178 3939012 4040883 4595514 4734772 4783086 5387844 5580267 6087564 6893271 7102158 7440356 8081766 9191028 9566172 10653237 11160534 13020623 13786542 14204316 16163532 16740801 21306474 22321068 26041246 27573084 33481602 39061869 42612948 52082492 66963204 78123738 117185607 156247476 234371214 468742428
- Sum of all divisors σ(n): 1651693680
- Sum of proper divisors (its aliquot sum) s(n): 1182951252
- 468742428 is an abundant number, because the sum of its proper divisors (1182951252) is greater than itself. Its abundance is 714208824
Bases of 468742428
- Binary: 110111111000001110001000111002
- Hexadecimal: 0x1BF0711C
- Base-36: 7R2RZ0
Squares and roots of 468742428
- 468742428 squared (4687424282) is 219719463807335184
- 468742428 cubed (4687424283) is 102991834943908418357986752
-
The
square root of 468742428 is 21650.4602260551 -
The
cube root of 468742428 is 776.8039437167
Scales and comparisons
How big is 468742428?- 468,742,428 seconds is equal to 14 years, 47 weeks, 6 hours, 13 minutes, 48 seconds.
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To count from 1 to 468,742,428 would take you about twenty-two 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 468742428 cubic inches would be around 64.7 feet tall.
Recreational maths with 468742428
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