428971821316272
428,971,821,316,272 is an even composite number composed of five prime numbers multiplied together.
What does the number 428971821316272 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1350 divisors.
428971821316272 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred fifty divisors.
Prime factorization of 428971821316272:
24 × 39 × 132 × 172 × 1672
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 17 × 17 × 167 × 167)See below for interesting mathematical facts about the number 428971821316272 from the Numbermatics database.
Names of 428971821316272
- Cardinal: 428971821316272 can be written as Four hundred twenty-eight trillion, nine hundred seventy-one billion, eight hundred twenty-one million, three hundred sixteen thousand, two hundred seventy-two.
Scientific notation
- Scientific notation: 4.28971821316272 × 1014
Factors of 428971821316272
Divisors of 428971821316272
- Number of divisors d(n): 1350
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 34 36 39 48 51 52 54 68 72 78 81 102 104 108 117 136 144 153 156 162 167 169 204 208 216 221 234 243 272 289 306 312 324 334 338 351 408 432 442 459 468 486 501 507 578 612 624 648 663 668 676 702 729 816 867 884 918 936 972 1002 1014 1053 1156 1224 1296 1326 1336 1352 1377 1404 1458 1503 1521 1734 1768 1836 1872 1944 1989 2004 2028 2106 2171 2187 2312 2448 2601 2652 2672 2704 2754 2808 2839 2873 2916 3006 3042 3159 3468 3536 3672 3757 3888 3978 4008 4056 4131 4212 4342 4374 4509 4563 4624 5202 5304 5508 5616 5678 5746 5832 5967 6012 6084 6318 6513 6561 6936 7344 7514 7803 7956 8016 8112 8262 8424 8517 8619 8684 8748 9018 9126 9477 10404 10608 11016 11271 11356 11492 11664 11934 12024 12168 12393 12636 13026 13122 13527 13689 13872 15028 15606 15912 16524 16848 17034 17238 17368 17496 17901 18036 18252 18954 19539 19683 20808 22032 22542 22712 22984 23409 23868 24048 24336 24786 25272 25551 25857 26052 26244 27054 27378 27889 28223 28431 30056 31212 31824 33048 33813 34068 34476 34736 34992 35802 36072 36504 36907 37179 37908 39078 39366 40581 41067 41616 45084 45424 45968 46818 47736 48263 48841 49572 50544 51102 51714 52104 52488 53703 54108 54756 55778 56446 56862 58617 60112 62424 66096 67626 68136 68952 70227 71604 72144 73008 73814 74358 75816 76653 77571 78156 78732 81162 82134 83667 84669 85293 90168 93636 95472 96526 97682 99144 101439 102204 103428 104208 104976 107406 108216 109512 110721 111537 111556 112892 113724 117234 121743 123201 124848 135252 136272 137904 140454 143208 144789 146523 147628 148716 151632 153306 155142 156312 157464 161109 162324 164268 167334 169338 170586 175851 180336 187272 193052 195364 198288 202878 204408 206856 210681 214812 216432 219024 221442 223074 223112 225784 227448 229959 232713 234468 243486 246402 251001 254007 255879 270504 280908 286416 289578 293046 295256 297432 304317 306612 310284 312624 314928 322218 324648 328536 332163 334611 334668 338676 341172 351702 362557 365229 369603 374544 386104 390728 405756 408816 413712 421362 429624 434367 439569 442884 446148 446224 451568 454896 459918 465426 468936 474113 479791 483327 486972 492804 502002 508014 511758 527553 541008 561816 579156 586092 590512 594864 608634 613224 620568 627419 632043 644436 649296 657072 664326 669222 669336 677352 682344 689877 698139 703404 725114 730458 739206 753003 762021 772208 781456 811512 842724 859248 868734 879138 885768 892296 912951 919836 930852 937872 948226 959582 966654 973944 985608 996489 1004004 1016028 1023516 1055106 1087671 1095687 1108809 1123632 1158312 1172184 1217268 1226448 1241136 1254838 1264086 1288872 1303101 1318707 1328652 1338444 1338672 1354704 1364688 1379754 1396278 1406808 1422339 1439373 1449981 1450228 1460916 1478412 1506006 1524042 1582659 1623024 1685448 1737468 1758276 1771536 1784592 1825902 1839672 1861704 1882257 1896129 1896452 1919164 1933308 1947888 1971216 1992978 2008008 2032056 2047032 2069631 2094417 2110212 2175342 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54975243024 57089675448 58411195713 61847148402 65382079152 65863936944 67896774504 70508188908 71352598356 71890702416 73554839046 74655729432 75549810024 76383871317 77881594284 80877040218 82462864536 92770722603 94010918544 95136797808 98073118728 98795905416 101845161756 103842125712 105762283362 107028897534 107836053624 110332258569 114179350896 116822391426 121315560327 123694296804 135793549008 141016377816 142705196712 147109678092 149311458864 151099620048 152767742634 155763188568 158643425043 160543346301 161754080436 164925729072 175233587139 185541445206 196146237456 197591810832 203690323512 211524566724 214057795068 215672107248 220664517138 229151613951 233644782852 242631120654 247388593608 282032755632 285410393424 294219356184 305535485268 311526377136 317286850086 321086692602 323508160872 330996775707 350467174278 371082890412 407380647024 423049133448 428115590136 441329034276 458303227902 467289565704 485262241308 494777187216 525700761417 588438712368 611070970536 634573700172 642173385204 647016321744 661993551414 687454841853 700934348556 742165780824 846098266896 856231180272 882658068552 916606455804 934579131408 970524482616 992990327121 1051401522834 1222141941072 1269147400344 1284346770408 1323987102828 1374909683706 1401868697112 1484331561648 1577102284251 1765316137104 1833212911608 1941048965232 1985980654242 2062364525559 2102803045668 2538294800688 2568693540816 2647974205656 2749819367412 2803737394224 2978970981363 3154204568502 3666425823216 3971961308484 4124729051118 4205606091336 5295948411312 5499638734824 5957941962726 6308409137004 7943922616968 8249458102236 8411212182672 8936912944089 10999277469648 11915883925452 12616818274008 15887845233936 16498916204472 17873825888178 23831767850904 25233636548016 26810738832267 32997832408944 35747651776356 47663535701808 53621477664534 71495303552712 107242955329068 142990607105424 214485910658136 428971821316272
- Sum of all divisors σ(n): 1442671950012348
- Sum of proper divisors (its aliquot sum) s(n): 1013700128696076
- 428971821316272 is an abundant number, because the sum of its proper divisors (1013700128696076) is greater than itself. Its abundance is 584728307379804
Bases of 428971821316272
- Binary: 11000011000100101110010010000011100111000101100002
- Hexadecimal: 0x18625C90738B0
- Base-36: 4822XMOR00
Squares and roots of 428971821316272
- 428971821316272 squared (4289718213162722) is 184016823483399592642651977984
- 428971821316272 cubed (4289718213162723) is 78938031922508855323318377229325215244955648
-
The
square root of 428971821316272 is 20711634.9262020355 -
The
cube root of 428971821316272 is 75418.2159782149
Scales and comparisons
How big is 428971821316272?- 428,971,821,316,272 seconds is equal to 13,639,977 years, 1 week, 14 hours, 31 minutes, 12 seconds.
-
To count from 1 to 428,971,821,316,272 would take you about thirty-four million, ninety-nine thousand, nine hundred forty-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 428971821316272 cubic inches would be around 6284.9 feet tall.
Recreational maths with 428971821316272
- 428971821316272 backwards is 272613128179824
- The number of decimal digits it has is: 15
- The sum of 428971821316272's digits is 63
- More coming soon!
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"Number 428971821316272 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
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Numbermatics. (2024). Number 428971821316272 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/428971821316272/
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The information we have on file for 428971821316272 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!
Keywords: Divisors of 428971821316272, math, Factors of 428971821316272, curriculum, school, college, exams, university, Prime factorization of 428971821316272, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight trillion, nine hundred seventy-one billion, eight hundred twenty-one million, three hundred sixteen thousand, two hundred seventy-two.