985438116
985,438,116 is an even composite number composed of seven prime numbers multiplied together.
985438116 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 985438116:
22 × 33 × 13 × 17 × 19 × 41 × 53
(2 × 2 × 3 × 3 × 3 × 13 × 17 × 19 × 41 × 53)See below for interesting mathematical facts about the number 985438116 from the Numbermatics database.
Names of 985438116
- Cardinal: 985438116 can be written as Nine hundred eighty-five million, four hundred thirty-eight thousand, one hundred sixteen.
Scientific notation
- Scientific notation: 9.85438116 × 108
Factors of 985438116
Divisors of 985438116
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 9 12 13 17 18 19 26 27 34 36 38 39 41 51 52 53 54 57 68 76 78 82 102 106 108 114 117 123 153 156 159 164 171 204 212 221 228 234 246 247 306 318 323 342 351 369 442 459 468 477 492 494 513 533 612 636 646 663 684 689 697 702 738 741 779 884 901 918 954 969 988 1007 1026 1066 1107 1292 1326 1378 1394 1404 1431 1476 1482 1558 1599 1802 1836 1908 1938 1989 2014 2052 2067 2091 2132 2173 2214 2223 2337 2652 2703 2756 2788 2862 2907 2964 3021 3116 3198 3604 3876 3978 4028 4134 4182 4199 4346 4428 4446 4674 4797 5406 5724 5814 5967 6042 6201 6273 6396 6519 6669 7011 7956 8109 8268 8364 8398 8692 8721 8892 9061 9063 9348 9594 10127 10812 11628 11713 11934 12084 12402 12546 12597 13038 13091 13243 13338 14022 14391 16218 16796 17119 17442 18122 18126 18603 18819 19188 19557 20254 21033 23426 23868 24327 24804 25092 25194 26076 26182 26486 26676 27183 27189 28044 28249 28782 30381 32436 34238 34884 35139 36244 36252 36941 37206 37638 37791 39114 39273 39729 40508 41287 42066 46852 48654 50388 51357 52364 52972 54366 54378 56498 57564 58671 60762 68476 70278 73882 74412 75276 75582 78228 78546 79458 81549 82574 84132 84747 91143 97308 102714 105417 108732 108756 110823 112996 113373 117342 117819 119187 121524 123861 140556 147764 151164 154071 157092 158916 163098 165148 169494 172159 182286 205428 210834 221646 222547 226746 234684 235638 238374 244647 247722 254241 273429 308142 316251 326196 332469 338988 344318 353457 357561 364572 371583 421668 443292 445094 453492 462213 471276 476748 480233 489294 495444 508482 516477 536731 546858 616284 632502 664938 667641 688636 701879 706914 715122 743166 762723 890188 924426 960466 978588 997407 1016964 1032954 1073462 1093716 1114749 1265004 1329876 1335282 1403758 1413828 1430244 1440699 1486332 1525446 1549431 1610193 1848852 1920932 1994814 2002923 2065908 2105637 2146924 2229498 2670564 2807516 2881398 3050892 3098862 3220386 3989628 4005846 4211274 4322097 4458996 4648293 4830579 5762796 6008769 6197724 6316911 6440772 8011692 8422548 8644194 9124427 9296586 9661158 12017538 12633822 12966291 14491737 17288388 18248854 18593172 18950733 19322316 24035076 25267644 25932582 27373281 28983474 36497708 37901466 51865164 54746562 57966948 75802932 82119843 109493124 164239686 246359529 328479372 492719058 985438116
- Sum of all divisors σ(n): 3200601600
- Sum of proper divisors (its aliquot sum) s(n): 2215163484
- 985438116 is an abundant number, because the sum of its proper divisors (2215163484) is greater than itself. Its abundance is 1229725368
Bases of 985438116
- Binary: 1110101011110010010111101001002
- Hexadecimal: 0x3ABC97A4
- Base-36: GAPCX0
Squares and roots of 985438116
- 985438116 squared (9854381162) is 971088280465629456
- 985438116 cubed (9854381163) is 956947405571729493874744896
-
The
square root of 985438116 is 31391.6886452449 -
The
cube root of 985438116 is 995.1222852491
Scales and comparisons
How big is 985438116?- 985,438,116 seconds is equal to 31 years, 17 weeks, 2 days, 12 hours, 48 minutes, 36 seconds.
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To count from 1 to 985,438,116 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 985438116 cubic inches would be around 82.9 feet tall.
Recreational maths with 985438116
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