230131072827516
230,131,072,827,516 is an even composite number composed of nine prime numbers multiplied together.
What does the number 230131072827516 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 1728 divisors.
230131072827516 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 230131072827516:
22 × 3 × 72 × 19 × 31 × 372 × 61 × 73 × 109
(2 × 2 × 3 × 7 × 7 × 19 × 31 × 37 × 37 × 61 × 73 × 109)See below for interesting mathematical facts about the number 230131072827516 from the Numbermatics database.
Names of 230131072827516
- Cardinal: 230131072827516 can be written as Two hundred thirty trillion, one hundred thirty-one billion, seventy-two million, eight hundred twenty-seven thousand, five hundred sixteen.
Scientific notation
- Scientific notation: 2.30131072827516 × 1014
Factors of 230131072827516
Divisors of 230131072827516
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 12 14 19 21 28 31 37 38 42 49 57 61 62 73 74 76 84 93 98 109 111 114 122 124 133 146 147 148 183 186 196 217 218 219 222 228 244 259 266 292 294 327 366 372 399 427 434 436 438 444 511 518 532 588 589 651 654 703 732 763 777 798 854 868 876 931 1022 1036 1147 1159 1178 1281 1302 1308 1369 1387 1406 1519 1526 1533 1554 1596 1708 1767 1813 1862 1891 2044 2071 2109 2257 2263 2289 2294 2318 2356 2562 2604 2701 2738 2774 2793 2812 2989 3038 3052 3066 3108 3379 3441 3477 3534 3577 3626 3724 3782 4033 4107 4123 4142 4161 4218 4453 4514 4526 4557 4578 4588 4636 4921 5124 5341 5402 5439 5476 5548 5586 5673 5978 6076 6132 6213 6649 6758 6771 6789 6882 6954 7068 7154 7252 7564 7957 8029 8066 8103 8113 8214 8246 8284 8322 8436 8906 8967 9028 9052 9114 9156 9583 9709 9842 10137 10682 10731 10804 10878 11172 11346 11956 12099 12369 12426 13237 13298 13359 13516 13542 13578 13764 13908 14308 14497 14763 15799 15841 15914 16023 16058 16132 16206 16226 16428 16492 16644 17812 17934 18228 18907 19166 19418 19684 19947 20274 21364 21462 21756 21793 22692 23653 23871 24087 24198 24339 24738 24852 26011 26474 26596 26718 27084 27156 28231 28749 28861 28994 29127 29526 31171 31598 31682 31828 32046 32116 32412 32452 34447 35868 35929 37814 38332 38836 39711 39894 40548 42439 42883 42924 42997 43491 43586 46543 47306 47397 47523 47742 48174 48396 48678 49476 51319 52022 52948 53436 55699 56203 56462 56721 56791 57498 57722 57988 58254 59052 62342 63196 63364 64092 64201 65379 67081 67963 68894 69967 70959 71858 75628 76627 78033 79422 79788 83509 83731 84607 84693 84878 85766 85994 86583 86982 87172 92659 93086 93513 94612 94794 95046 95484 96348 97356 99937 101479 102638 103341 104044 107787 110593 110887 111398 112406 112924 113442 113582 114996 115444 116508 124684 125023 126331 127317 128402 128649 128991 130758 132349 134162 135926 137788 138043 139629 139934 141918 143716 149221 151183 152551 153254 153957 156066 158844 164761 165571 167018 167097 167462 168609 169214 169386 169756 170373 171532 171988 173166 173964 182077 185318 186172 187026 189588 190092 192603 197617 199874 201243 202958 203889 205276 206119 206682 209901 215574 218197 221186 221774 222796 224812 226884 227164 229881 246013 246667 250046 250527 251193 251503 252662 253821 254634 256804 257298 257982 261516 264698 268324 271852 276086 277977 279258 279868 283836 294409 297073 298442 299811 300181 300979 302366 304437 305102 306508 307914 312132 325801 329522 331142 331779 332661 334036 334194 334924 337218 338428 338772 340746 346332 359233 364154 370636 374052 375069 378993 385206 389893 395234 397047 399748 402486 405916 407778 412238 413364 414129 419802 431148 436394 442372 443548 447663 449407 453549 457653 459762 485377 489769 492026 493334 494283 496713 500092 501054 502386 503006 505324 507642 509268 514596 515964 529396 536389 546231 552172 555954 558516 584563 586117 588818 592249 592851 594146 596884 599622 600362 601958 604732 608874 610204 615828 618357 651602 654591 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115065536413758 230131072827516
- Sum of all divisors σ(n): 725308977254400
- Sum of proper divisors (its aliquot sum) s(n): 495177904426884
- 230131072827516 is an abundant number, because the sum of its proper divisors (495177904426884) is greater than itself. Its abundance is 265046831599368
Bases of 230131072827516
- Binary: 1101000101001101100100001101100100000000011111002
- Hexadecimal: 0xD14D90D9007C
- Base-36: 29KOR6YBGC
Squares and roots of 230131072827516
- 230131072827516 squared (2301310728275162) is 52960310680743473039086730256
- 230131072827516 cubed (2301310728275163) is 12187813114238049660774242970201009106524096
-
The
square root of 230131072827516 is 15170071.6157675407 -
The
cube root of 230131072827516 is 61280.8932880549
Scales and comparisons
How big is 230131072827516?- 230,131,072,827,516 seconds is equal to 7,317,456 years, 14 weeks, 1 day, 15 hours, 38 minutes, 36 seconds.
-
To count from 1 to 230,131,072,827,516 would take you about eighteen million, two hundred ninety-three thousand, six hundred forty 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 230131072827516 cubic inches would be around 5106.7 feet tall.
Recreational maths with 230131072827516
- 230131072827516 backwards is 615728270131032
- The number of decimal digits it has is: 15
- The sum of 230131072827516's digits is 48
- More coming soon!
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"Number 230131072827516 - Facts about the integer". Numbermatics.com. 2024. Web. 25 September 2024.
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Numbermatics. (2024). Number 230131072827516 - Facts about the integer. Retrieved 25 September 2024, from https://numbermatics.com/n/230131072827516/
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The information we have on file for 230131072827516 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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