428325104815104
428,325,104,815,104 is an even composite number composed of seven prime numbers multiplied together.
428325104815104 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 428325104815104:
210 × 3 × 73 × 19 × 37 × 73 × 892
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 19 × 37 × 73 × 89 × 89)See below for interesting mathematical facts about the number 428325104815104 from the Numbermatics database.
Names of 428325104815104
- Cardinal: 428325104815104 can be written as Four hundred twenty-eight trillion, three hundred twenty-five billion, one hundred four million, eight hundred fifteen thousand, one hundred four.
Scientific notation
- Scientific notation: 4.28325104815104 × 1014
Factors of 428325104815104
Divisors of 428325104815104
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 37 38 42 48 49 56 57 64 73 74 76 84 89 96 98 111 112 114 128 133 146 147 148 152 168 178 192 196 219 222 224 228 256 259 266 267 292 294 296 304 336 343 356 384 392 399 438 444 448 456 511 512 518 532 534 584 588 592 608 623 672 686 703 712 768 777 784 798 876 888 896 912 931 1022 1024 1029 1036 1064 1068 1168 1176 1184 1216 1246 1344 1372 1387 1406 1424 1533 1536 1554 1568 1596 1691 1752 1776 1792 1813 1824 1862 1869 2044 2058 2072 2109 2128 2136 2336 2352 2368 2432 2492 2688 2701 2744 2774 2793 2812 2848 3066 3072 3108 3136 3192 3293 3382 3504 3552 3577 3584 3626 3648 3724 3738 4088 4116 4144 4161 4218 4256 4272 4361 4672 4704 4736 4864 4921 4984 5073 5376 5402 5439 5488 5548 5586 5624 5696 6132 6216 6272 6384 6497 6517 6586 6764 7008 7104 7154 7168 7252 7296 7448 7476 7921 8103 8176 8232 8288 8322 8436 8512 8544 8722 9344 9408 9472 9709 9728 9842 9879 9968 10146 10731 10752 10804 10878 10976 11096 11172 11248 11392 11837 12264 12432 12544 12691 12768 12994 13034 13083 13172 13528 14016 14208 14308 14504 14592 14763 14896 14952 15842 16206 16352 16464 16576 16644 16872 17024 17088 17444 18688 18816 18907 18944 19418 19456 19491 19551 19684 19758 19936 20292 21462 21504 21608 21756 21952 22192 22344 22496 22784 23051 23674 23763 24528 24864 25039 25088 25382 25536 25988 26068 26166 26344 27056 28032 28416 28616 29008 29127 29184 29526 29792 29904 30527 31684 32412 32704 32928 33152 33288 33744 34048 34176 34447 34888 35511 37376 37632 37814 37888 38073 38836 38982 39102 39368 39516 39872 40584 42924 43216 43512 43904 44384 44688 44992 45479 45568 46102 47348 47526 49056 49728 50078 50176 50764 51072 51319 51976 52136 52332 52688 54112 55447 56064 56721 56832 57232 58016 58254 58368 59052 59584 59808 61054 62567 63368 64824 65408 65856 66304 66576 67488 67963 68096 68352 68894 69153 69776 71022 74752 75117 75264 75628 76146 77672 77964 78204 78736 79032 79744 81168 82859 85848 86432 87024 87808 88768 89376 89984 90958 91136 91581 92204 94696 95052 98112 99456 100156 101528 102144 102638 103341 103952 104272 104664 105376 108224 110894 112128 113442 113664 114464 116032 116508 118104 119168 119616 122108 123443 125134 126736 129648 130816 131712 132349 132608 133152 134976 135926 136192 136437 136704 137788 138306 139552 142044 150234 150499 150528 151256 152292 153957 155344 155928 156408 157472 158064 159488 161357 162336 165718 166341 171696 172864 174048 175616 177536 178752 179968 181916 183162 184408 187701 189392 190104 196224 198912 200312 203056 203889 204288 205276 206682 207904 208544 209328 210752 216448 221788 224256 226884 228928 232064 233016 236208 238336 239232 240389 241129 244216 246886 248577 250268 253472 259296 261632 263424 264698 265216 266304 269952 271852 272874 273408 275576 276612 279104 284088 293077 300468 300998 302512 304584 307914 310688 311856 312816 314944 316128 318353 318976 322714 324672 331436 332682 343392 345728 348096 351232 355072 357504 359233 359936 363832 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2253109376 2261579712 2281954304 2322703488 2338504192 2354521344 2380007028 2396197552 2412609864 2438986794 2460959648 2477815536 2494671424 2574982144 2584662528 2638509664 2654518272 2685625908 2709820736 2720008032 2738511488 2746941568 2757268416 2782108672 2812525312 2831789184 2845484593 2846032896 2851053056 3015439616 3069286752 3096937984 3108580608 3133230226 3139361792 3145009287 3151163904 3173342704 3216813152 3230009538 3236330496 3251982392 3274256244 3303754048 3379664064 3422931456 3469820928 3507756288 3580834544 3594296328 3626677376 3676357888 3691439472 3742007136 3768344461 3775718912 3819965618 3862473216 3957764496 4064731104 4092382336 4107767232 4120412352 4144774144 4173163008 4193345716 4218787968 4276579584 4306679384 4365674992 4506218752 4523159424 4645406976 4677008384 4699845339 4709042688 4760014056 4792395104 4825219728 4877973588 4921919296 4955631072 4989342848 5169325056 5277019328 5371251816 5419641472 5440016064 5477022976 5493883136 5514536832 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15073377844 15279862472 15831057984 16258924416 16369529344 16431068928 16481649408 16773382864 16875151872 17072907558 17106318336 17226717536 17462699968 18024875008 18092637696 18581627904 18799381356 19040056224 19169580416 19300878912 19511894352 19687677184 19822524288 19918392151 19957371392 21108077312 21485007264 21678565888 21760064256 21908091904 21975532544 22015065009 22058147328 22610066766 22654313472 22763876744 22919793708 24554294016 25065841808 25160074296 25386741632 25734505216 25840076304 26015859136 26194049952 26430032384 27037312512 28646676352 28754370624 29013419008 29353420012 29531515776 29936057088 30146755688 30559724944 31662115968 32517848832 32739058688 32862137856 32963298816 33546765728 33750303744 34145815116 34453435072 34925399936 36185275392 37598762712 38080112448 38339160832 38601757824 39023788704 39375354368 39645048576 39836784302 39914742784 42216154624 42970014528 43357131776 43520128512 44030130018 44116294656 45220133532 45527753488 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206720610432 208126873088 209552399616 229173410816 230034964992 234827360096 236252126208 239020705812 241174045504 244477799552 253296927744 268374125824 273166520928 275627480576 278857490114 279403199488 300790101696 304640899584 308814062592 312190309632 318694274416 343760116224 352241040144 361761068256 364222027904 366716699328 401053468928 402561188736 413441220864 416253746176 418286235171 419104799232 460069929984 469654720192 478041411624 482348091008 488955599104 536748251648 546333041856 551254961152 557714980228 601580203392 609281799168 624380619264 637388548832 687520232448 704482080288 723522136512 728444055808 733433398656 802106937856 805122377472 826882441728 836572470342 838209598464 939309440384 956082823248 964696182016 977911198208 1073496503296 1092666083712 1115429960456 1203160406784 1248761238528 1274777097664 1408964160576 1447044273024 1456888111616 1466866797312 1604213875712 1610244754944 1653764883456 1673144940684 1878618880768 1912165646496 1929392364032 1955822396416 2185332167424 2230859920912 2406320813568 2549554195328 2817928321152 2894088546048 2913776223232 2933733594624 3220489509888 3346289881368 3757237761536 3824331292992 3858784728064 4370664334848 4461719841824 4812641627136 5099108390656 5635856642304 5788177092096 5867467189248 6692579762736 7514475523072 7648662585984 8741328669696 8923439683648 10198216781312 11271713284608 11576354184192 13385159525472 15297325171968 17846879367296 20396433562624 22543426569216 26770319050944 30594650343936 35693758734592 53540638101888 61189300687872 71387517469184 107081276203776 142775034938368 214162552407552 428325104815104
- Sum of all divisors σ(n): 1475604153728000
- Sum of proper divisors (its aliquot sum) s(n): 1047279048912896
- 428325104815104 is an abundant number, because the sum of its proper divisors (1047279048912896) is greater than itself. Its abundance is 618953944097792
Bases of 428325104815104
- Binary: 11000010110001111001101011011100010001100000000002
- Hexadecimal: 0x1858F35B88C00
- Base-36: 47TTU4DP1C
Squares and roots of 428325104815104
- 428325104815104 squared (4283251048151042) is 183462395414869827806026530816
- 428325104815104 cubed (4283251048151043) is 78581549745704174493720461762525854238244864
-
The
square root of 428325104815104 is 20696016.6412550025 -
The
cube root of 428325104815104 is 75380.2968317841
Scales and comparisons
How big is 428325104815104?- 428,325,104,815,104 seconds is equal to 13,619,413 years, 22 weeks, 4 days, 21 hours, 58 minutes, 24 seconds.
-
To count from 1 to 428,325,104,815,104 would take you about thirty-four million, forty-eight thousand, five hundred thirty-three 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 428325104815104 cubic inches would be around 6281.7 feet tall.
Recreational maths with 428325104815104
- 428325104815104 backwards is 401518401523824
- 428325104815104 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428325104815104's digits is 48
- More coming soon!
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"Number 428325104815104 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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The information we have on file for 428325104815104 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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