828014148
828,014,148 is an even composite number composed of five prime numbers multiplied together.
828014148 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 828014148:
22 × 32 × 133 × 192 × 29
(2 × 2 × 3 × 3 × 13 × 13 × 13 × 19 × 19 × 29)See below for interesting mathematical facts about the number 828014148 from the Numbermatics database.
Names of 828014148
- Cardinal: 828014148 can be written as Eight hundred twenty-eight million, fourteen thousand, one hundred forty-eight.
Scientific notation
- Scientific notation: 8.28014148 × 108
Factors of 828014148
Divisors of 828014148
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 6 9 12 13 18 19 26 29 36 38 39 52 57 58 76 78 87 114 116 117 156 169 171 174 228 234 247 261 338 342 348 361 377 468 494 507 522 551 676 684 722 741 754 988 1014 1044 1083 1102 1131 1444 1482 1508 1521 1653 2028 2166 2197 2204 2223 2262 2964 3042 3211 3249 3306 3393 4332 4394 4446 4524 4693 4901 4959 6084 6422 6498 6591 6612 6786 7163 8788 8892 9386 9633 9802 9918 10469 12844 12996 13182 13572 14079 14326 14703 18772 19266 19604 19773 19836 20938 21489 26364 28158 28652 28899 29406 31407 38532 39546 41743 41876 42237 42978 44109 56316 57798 58812 61009 62814 63713 64467 79092 83486 84474 85956 88218 93119 94221 115596 122018 125229 125628 127426 128934 136097 166972 168948 176436 183027 186238 188442 191139 244036 250458 254852 257868 272194 279357 366054 372476 375687 376884 382278 408291 500916 544388 549081 558714 573417 732108 751374 764556 793117 816582 838071 1098162 1117428 1146834 1210547 1224873 1502748 1586234 1633164 1676142 1769261 2196324 2293668 2379351 2421094 2449746 3172468 3352284 3538522 3631641 4758702 4842188 4899492 5307783 7077044 7138053 7263282 9517404 10615566 10894923 14276106 14526564 15923349 21231132 21789846 23000393 28552212 31846698 43579692 46000786 63693396 69001179 92001572 138002358 207003537 276004716 414007074 828014148
- Sum of all divisors σ(n): 2475509400
- Sum of proper divisors (its aliquot sum) s(n): 1647495252
- 828014148 is an abundant number, because the sum of its proper divisors (1647495252) is greater than itself. Its abundance is 819481104
Bases of 828014148
- Binary: 1100010101101001111110010001002
- Hexadecimal: 0x315A7E44
- Base-36: DOZ7T0
Squares and roots of 828014148
- 828014148 squared (8280141482) is 685607429288165904
- 828014148 cubed (8280141483) is 567692651424510937483209792
-
The
square root of 828014148 is 28775.2349773203 -
The
cube root of 828014148 is 939.0295356251
Scales and comparisons
How big is 828014148?- 828,014,148 seconds is equal to 26 years, 17 weeks, 11 hours, 55 minutes, 48 seconds.
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To count from 1 to 828,014,148 would take you about thirty-nine 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 828014148 cubic inches would be around 78.3 feet tall.
Recreational maths with 828014148
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