428320988703972
428,320,988,703,972 is an even composite number composed of six prime numbers multiplied together.
428320988703972 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 428320988703972:
22 × 32 × 73 × 13 × 193 × 733
(2 × 2 × 3 × 3 × 7 × 7 × 7 × 13 × 19 × 19 × 19 × 73 × 73 × 73)See below for interesting mathematical facts about the number 428320988703972 from the Numbermatics database.
Names of 428320988703972
- Cardinal: 428320988703972 can be written as Four hundred twenty-eight trillion, three hundred twenty billion, nine hundred eighty-eight million, seven hundred three thousand, nine hundred seventy-two.
Scientific notation
- Scientific notation: 4.28320988703972 × 1014
Factors of 428320988703972
Divisors of 428320988703972
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 9 12 13 14 18 19 21 26 28 36 38 39 42 49 52 57 63 73 76 78 84 91 98 114 117 126 133 146 147 156 171 182 196 219 228 234 247 252 266 273 292 294 342 343 361 364 399 438 441 468 494 511 532 546 588 637 657 684 686 722 741 798 819 876 882 931 949 988 1022 1029 1083 1092 1197 1274 1314 1372 1387 1444 1482 1533 1596 1638 1729 1764 1862 1898 1911 2044 2058 2166 2223 2394 2527 2548 2628 2774 2793 2847 2964 3066 3087 3249 3276 3458 3577 3724 3796 3822 4116 4161 4332 4446 4459 4599 4693 4788 5054 5187 5329 5548 5586 5694 5733 6132 6174 6498 6517 6643 6859 6916 7154 7581 7644 8322 8379 8541 8892 8918 9198 9386 9709 10108 10374 10658 10731 11172 11388 11466 12103 12348 12483 12996 13034 13286 13377 13718 14079 14308 15162 15561 15987 16644 16758 17082 17689 17836 18031 18396 18772 19418 19551 19929 20577 20748 21316 21462 22743 22932 24206 24966 25039 26068 26353 26572 26754 27436 28158 29127 30324 31122 31974 32193 32851 33516 34164 35378 36062 36309 37303 38836 39102 39858 40131 41154 42237 42924 45486 46501 47961 48013 48412 49932 50078 52706 53067 53508 54093 56316 58254 58653 59787 61731 62244 63948 64386 65702 67963 69277 70756 72124 72618 74606 75117 78204 79059 79716 80262 82308 84474 84721 87381 89167 90972 93002 95922 96026 98553 100156 101251 105412 106134 108186 108927 111909 116508 117306 119574 123462 123823 126217 128772 131404 135926 138554 139503 144039 145236 149212 150234 158118 159201 160524 162279 168948 169442 174762 178334 184471 186004 191844 192052 197106 202502 203889 207831 212268 216372 217854 223818 225351 229957 234612 237177 239148 246924 247646 252434 254163 261121 267501 271852 277108 279006 288078 295659 300468 303753 316236 318402 324558 325507 335727 336091 338884 342589 349524 356668 368942 371469 378651 389017 394212 405004 407778 415662 418509 432117 435708 447636 450702 459914 474354 475741 484939 495292 500707 504868 508326 522242 535002 553413 558012 576156 591318 607506 611667 623493 624169 636804 649116 651014 671454 672182 685178 689871 708757 737884 742938 757302 762489 778034 783363 802503 815556 831324 837018 864234 883519 901404 911259 919828 948708 951482 969878 976521 1001414 1008273 1016652 1027767 1044484 1070004 1106826 1114407 1135953 1167051 1182636 1215012 1223334 1246986 1248338 1291297 1302028 1316263 1342908 1344364 1370356 1379742 1417514 1427223 1454817 1485876 1502121 1514604 1524978 1556068 1566726 1605006 1609699 1660239 1674036 1728468 1767038 1822518 1827847 1872507 1902964 1923769 1939756 1953042 2002828 2016546 2055534 2069613 2126271 2213652 2228814 2271906 2334102 2350089 2352637 2398123 2446668 2493972 2496676 2582594 2632526 2650557 2723119 2759484 2835028 2854446 2909634 2929563 3004242 3024819 3049956 3083301 3133452 3210012 3219398 3320478 3394573 3501153 3504949 3534076 3645036 3655694 3745014 3847538 3873891 3906084 3948789 4033092 4111068 4139226 4252542 4281669 4364451 4369183 4457628 4506363 4543812 4668204 4700178 4705274 4796246 4829097 4961299 5057221 5165188 5265052 5301114 5446238 5483541 5617521 5708892 5771307 5819268 5859126 6008484 6049638 6166602 6184633 6378813 6438796 6509191 6640956 6789146 7002306 7009898 7057911 7194369 7311388 7391323 7490028 7695076 7747782 7897578 7951671 8169357 8278452 8505084 8563338 8728902 8738366 9012726 9039079 9213841 9400356 9410548 9592492 9658194 9922598 10114442 10183719 10514847 10602228 10892476 10967082 11235042 11542614 11621673 11718252 11846367 12099276 12333204 12369266 12757626 13018382 13107549 13466383 13578292 14004612 14019796 14115822 14388738 14487291 14782646 14883897 15171663 15495564 15795156 15903342 16338714 16450623 16786861 17126676 17313921 17457804 17476732 18025452 18078158 18427682 18553899 19061833 19316388 19527573 19845196 20228884 20367438 21029694 21173733 21583107 21934164 22173969 22470084 23085228 23243346 23692734 23762011 24508071 24534643 24738532 25008997 25515252 26036764 26215098 26932766 27117237 27641523 28231644 28777476 28974582 29565292 29767794 30343326 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28249636506 29935769409 30422685468 31223282454 32019211236 32238520902 32861822058 32957909257 34312343884 34687478839 35389654524 37355746442 37611607719 38338792401 39914359212 40187745234 41287930278 42374454759 44115870708 45634028202 46566752414 48028816854 48169251991 50148810292 51118389868 51468515826 56033619663 56499273012 59871538818 61931895417 62446564908 64477041804 65723644116 65915818514 69374957678 69850128621 74711492884 75223215438 76677584802 77202773739 80375490468 82575860556 84748909518 89457182269 91268056404 93133504828 96057633708 96338503982 98873727771 102937031652 104062436517 112067239326 112834823157 115016377203 119743077636 123863790834 130745112547 131831637028 138749915356 139700257242 144507755973 150446430876 153355169604 154405547478 162983633449 168100858989 169497819036 178914364538 192677007964 197747455542 208124873034 209550385863 224134478652 225669646314 230032754406 242812351873 247727581668 261490225094 268371546807 279400514484 289015511946 296621183313 308811094956 312187309551 325967266898 336201717978 357828729076 392235337641 395494911084 416249746068 419100771726 433523267919 451339292628 460065508812 485624703746 488950900347 522980450188 536743093614 578031023892 593242366626 624374619102 626200275883 651934533796 672403435956 728437055619 784470675282 805114640421 838201543452 867046535838 915215787829 971249407492 977901800694 1073486187228 1176706012923 1186484733252 1248749238204 1252400551766 1456874111238 1466852701041 1568941350564 1610229280842 1699686463111 1734093071676 1830431575658 1878600827649 1955803601388 2185311166857 2353412025846 2504801103532 2745647363487 2913748222476 2933705402082 3220458561684 3399372926222 3660863151316 3757201655298 4370622333714 4706824051692 5099059389333 5491294726974 5635802482947 5867410804164 6798745852444 7514403310596 8236942090461 8741244667428 10198118778666 10982589453948 11271604965894 11897805241777 15297178167999 16473884180922 20396237557332 22543209931788 23795610483554 30594356335998 32947768361844 35693415725331 47591220967108 61188712671996 71386831450662 107080247175993 142773662901324 214160494351986 428320988703972
- Sum of all divisors σ(n): 1455214167680000
- Sum of proper divisors (its aliquot sum) s(n): 1026893178976028
- 428320988703972 is an abundant number, because the sum of its proper divisors (1026893178976028) is greater than itself. Its abundance is 598572190272056
Bases of 428320988703972
- Binary: 11000010110001110010000000110000110101100111001002
- Hexadecimal: 0x1858E4061ACE4
- Base-36: 47TRY1R5D0
Squares and roots of 428320988703972
- 428320988703972 squared (4283209887039722) is 183458869364348109624248576784
- 428320988703972 cubed (4283209887039723) is 78579284312650421474349326594118261687786048
-
The
square root of 428320988703972 is 20695917.1989059717 -
The
cube root of 428320988703972 is 75380.0553682561
Scales and comparisons
How big is 428320988703972?- 428,320,988,703,972 seconds is equal to 13,619,282 years, 28 weeks, 6 days, 17 hours, 46 minutes, 12 seconds.
-
To count from 1 to 428,320,988,703,972 would take you about thirty-four million, forty-eight thousand, two hundred six 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 428320988703972 cubic inches would be around 6281.7 feet tall.
Recreational maths with 428320988703972
- 428320988703972 backwards is 279307889023824
- The number of decimal digits it has is: 15
- The sum of 428320988703972's digits is 72
- More coming soon!
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Numbermatics. (2024). Number 428320988703972 - Facts about the integer. Retrieved 27 April 2024, from https://numbermatics.com/n/428320988703972/
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The information we have on file for 428320988703972 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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