428338249302633120
428,338,249,302,633,120 is an even composite number composed of eight prime numbers multiplied together.
What does the number 428338249302633120 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1728 divisors.
428338249302633120 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 428338249302633120:
25 × 32 × 5 × 112 × 53 × 61 × 191 × 3981071
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 11 × 53 × 61 × 191 × 3981071)See below for interesting mathematical facts about the number 428338249302633120 from the Numbermatics database.
Names of 428338249302633120
- Cardinal: 428338249302633120 can be written as Four hundred twenty-eight quadrillion, three hundred thirty-eight trillion, two hundred forty-nine billion, three hundred two million, six hundred thirty-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.2833824930263312 × 1017
Factors of 428338249302633120
Divisors of 428338249302633120
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 53 55 60 61 66 72 80 88 90 96 99 106 110 120 121 122 132 144 159 160 165 176 180 183 191 198 212 220 240 242 244 264 265 288 305 318 330 352 360 363 366 382 396 424 440 477 480 484 488 495 528 530 549 573 583 605 610 636 660 671 720 726 732 764 792 795 848 880 915 954 955 968 976 990 1056 1060 1089 1098 1146 1166 1210 1220 1272 1320 1342 1440 1452 1464 1528 1584 1590 1696 1719 1749 1760 1815 1830 1908 1910 1936 1952 1980 2013 2101 2120 2178 2196 2292 2332 2385 2420 2440 2544 2640 2684 2745 2865 2904 2915 2928 3056 3168 3180 3233 3355 3438 3498 3630 3660 3816 3820 3872 3960 4026 4202 4240 4356 4392 4584 4664 4770 4840 4880 5088 5247 5280 5368 5445 5490 5730 5808 5830 5856 6039 6112 6303 6360 6413 6466 6710 6876 6996 7260 7320 7381 7632 7640 7920 8052 8404 8480 8595 8712 8745 8784 9168 9328 9540 9680 9699 9760 10065 10123 10494 10505 10736 10890 10980 11460 11616 11651 11660 12078 12606 12720 12826 12932 13420 13752 13992 14520 14640 14762 15264 15280 15840 16104 16165 16808 17190 17424 17490 17568 18336 18656 18909 19080 19239 19360 19398 20130 20246 20988 21010 21472 21780 21960 22143 22920 23111 23302 23320 24156 25212 25440 25652 25864 26235 26840 27504 27984 29040 29097 29280 29524 30195 30369 30560 31515 32065 32208 32330 33616 34380 34848 34953 34980 35563 36905 37818 38160 38478 38796 40260 40492 41976 42020 43560 43920 44286 45840 46222 46604 46640 48312 48495 50424 50615 51304 51728 52470 53680 55008 55968 57717 58080 58194 58255 59048 60390 60738 63030 64130 64416 64660 66429 67232 68760 69333 69906 69960 71126 73810 75636 76320 76956 77592 80520 80984 83952 84040 87120 87840 88572 91107 91680 92444 93208 93280 94545 96195 96624 96990 100848 101230 102608 103456 104859 104940 106689 107360 110715 111353 115434 115555 116388 116510 118096 120780 121476 126060 128161 128260 129320 132858 137520 138666 139812 139920 142252 145485 147620 151272 151845 153912 155184 161040 161968 167904 168080 174240 174765 177144 177815 182214 184888 186416 189090 192390 193248 193980 201696 202460 205216 207999 209718 209880 213378 221430 222706 230868 231110 232776 233020 236192 241560 242952 252120 256322 256520 258640 265716 275040 277332 279624 279840 284504 288585 290970 295240 302544 303690 307824 310368 320067 322080 323936 332145 334059 336160 346665 349530 354288 355630 364428 369776 372832 378180 384483 384780 387960 391193 404920 415998 419436 419760 426756 442860 445412 455535 461736 462220 465552 466040 483120 485904 504240 512644 513040 517280 524295 531432 533445 554664 556765 559248 569008 577170 581940 590480 605088 607380 615648 617503 640134 640805 664290 668118 693330 699060 708576 711260 728856 739552 756360 768966 769560 775920 782386 809840 831996 838872 839520 853512 885720 890824 911070 923472 924440 931104 932080 966240 971808 1002177 1008480 1025288 1026080 1039995 1048590 1062864 1066890 1109328 1113530 1118496 1138016 1153449 1154340 1163880 1173579 1180960 1214760 1224883 1235006 1280268 1281610 1328580 1336236 1386660 1398120 1409771 1422520 1457712 1512720 1537932 1539120 1551840 1564772 1600335 1619680 1663992 1670295 1677744 1707024 1771440 1781648 1822140 1846944 1848880 1852509 1864160 1922415 1955965 2004354 2050576 2079990 2097180 2125728 2133780 2218656 2227060 2306898 2308680 2327760 2347158 2429520 2449766 2470012 2560536 2563220 2657160 2672472 2773320 2796240 2819542 2845040 2915424 3025440 3075864 3078240 3087515 3129544 3200670 3327984 3340590 3355488 3414048 3520737 3542880 3563296 3644280 3674649 3697760 3705018 3844830 3911930 3981071 4008708 4101152 4159980 4194360 4229313 4267560 4454120 4613796 4617360 4655520 4694316 4859040 4899532 4940024 5010885 5121072 5126440 5314320 5344944 5546640 5557527 5592480 5639084 5690080 5767245 5867895 6124415 6151728 6175030 6259088 6401340 6655968 6681180 6792533 7041474 7048855 7288560 7349298 7410036 7689660 7823860 7962142 8017416 8319960 8388720 8458626 8535120 8908240 9227592 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2020463440106760 2163324491427440 2242608635092320 2340646171052640 2379656940570184 2433740052855870 2595989389712928 2677114058141457 2693951253475680 2974571175712730 3244986737141160 3510969256578960 3539985531426720 3569485410855276 3893984084569392 4040926880213520 4326648982854880 4461856763569095 4759313881140368 4867480105711740 5354228116282914 5949142351425460 6489973474282320 7021938513157920 7138970821710552 7787968169138784 8081853760427040 8923713527138190 9518627762280736 9734960211423480 10708456232565828 11898284702850920 12979946948564640 13385570290707285 14277941643421104 17847427054276380 19469920422846960 21416912465131656 23796569405701840 26771140581414570 28555883286842208 35694854108552760 38939840845693920 42833824930263312 47593138811403680 53542281162829140 71389708217105520 85667649860526624 107084562325658280 142779416434211040 214169124651316560 428338249302633120
- Sum of all divisors σ(n): 1672528408914714624
- Sum of proper divisors (its aliquot sum) s(n): 1244190159612081504
- 428338249302633120 is an abundant number, because the sum of its proper divisors (1244190159612081504) is greater than itself. Its abundance is 815851910309448384
Bases of 428338249302633120
- Binary: 101111100011100001101011110010010010110010101101010101000002
- Hexadecimal: 0x5F1C35E49656AA0
- Base-36: 395L8J7GX9K0
Squares and roots of 428338249302633120
- 428338249302633120 squared (4283382493026331202) is 183473655815644682512000565320934400
- 428338249302633120 cubed (4283382493026331203) is 78588784525227115010645938716595332464703778787328000
-
The
square root of 428338249302633120 is 654475552.8685797443 -
The
cube root of 428338249302633120 is 753810.6791681977
Scales and comparisons
How big is 428338249302633120?- 428,338,249,302,633,120 seconds is equal to 13,619,831,390 years, 32 weeks, 3 days, 21 hours, 12 minutes.
-
To count from 1 to 428,338,249,302,633,120 would take you about forty billion, eight hundred fifty-nine million, four hundred ninety-four thousand, one hundred seventy-one 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 428338249302633120 cubic inches would be around 62817.6 feet tall.
Recreational maths with 428338249302633120
- 428338249302633120 backwards is 021336203942833824
- The number of decimal digits it has is: 18
- The sum of 428338249302633120's digits is 63
- More coming soon!
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"Number 428338249302633120 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 428338249302633120 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/428338249302633120/
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Numbermatics. 2024. "Number 428338249302633120 - Facts about the integer". https://numbermatics.com/n/428338249302633120/
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