428475936672
428,475,936,672 is an even composite number composed of five prime numbers multiplied together.
What does the number 428475936672 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 432 divisors.
428475936672 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 428475936672:
25 × 33 × 7 × 192 × 4432
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 19 × 19 × 443 × 443)See below for interesting mathematical facts about the number 428475936672 from the Numbermatics database.
Names of 428475936672
- Cardinal: 428475936672 can be written as Four hundred twenty-eight billion, four hundred seventy-five million, nine hundred thirty-six thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 4.28475936672 × 1011
Factors of 428475936672
Divisors of 428475936672
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 32 36 38 42 48 54 56 57 63 72 76 84 96 108 112 114 126 133 144 152 168 171 189 216 224 228 252 266 288 304 336 342 361 378 399 432 443 456 504 513 532 608 672 684 722 756 798 864 886 912 1008 1026 1064 1083 1197 1329 1368 1444 1512 1596 1772 1824 2016 2052 2128 2166 2394 2527 2658 2736 2888 3024 3101 3192 3249 3544 3591 3987 4104 4256 4332 4788 5054 5316 5472 5776 6048 6202 6384 6498 7088 7182 7581 7974 8208 8417 8664 9303 9576 9747 10108 10632 11552 11961 12404 12768 12996 14176 14364 15162 15948 16416 16834 17328 18606 19152 19494 20216 21264 22743 23922 24808 25251 25992 27909 28728 30324 31896 33668 34656 37212 38304 38988 40432 42528 45486 47844 49616 50502 51984 55818 57456 58919 60648 63792 67336 68229 74424 75753 77976 80864 83727 90972 95688 99232 101004 103968 111636 114912 117838 121296 127584 134672 136458 148848 151506 155952 159923 167454 176757 181944 191376 196249 202008 223272 227259 235676 242592 269344 272916 297696 303012 311904 319846 334908 353514 363888 382752 392498 404016 446544 454518 471352 479769 530271 545832 588747 606024 639692 669816 707028 727776 784996 808032 893088 909036 942704 959538 1060542 1091664 1119461 1177494 1212048 1279384 1339632 1373743 1414056 1439307 1569992 1590813 1766241 1818072 1885408 1919076 2121084 2183328 2238922 2354988 2424096 2558768 2679264 2747486 2828112 2878614 3139984 3181626 3358383 3532482 3636144 3728731 3838152 4121229 4242168 4317921 4477844 4709976 5117536 5298723 5494972 5656224 5757228 6279968 6363252 6716766 7064964 7272288 7457462 7676304 8242458 8484336 8635842 8955688 9419952 10075149 10597446 10989944 11186193 11514456 12363687 12726504 13433532 14129928 14914924 15352608 16484916 16968672 17271684 17911376 18839904 20150298 21194892 21979888 22372386 23028912 24727374 25453008 26101117 26867064 28259856 29829848 30225447 32969832 33558579 34543368 35822752 37091061 40300596 42389784 43959776 44744772 46057824 49454748 50906016 52202234 53734128 56519712 59659696 60450894 65939664 67117158 69086736 70845889 74182122 78303351 80601192 84779568 89489544 98909496 100675737 104404468 107468256 119319392 120901788 131879328 134234316 138173472 141691778 148364244 156606702 161202384 169559136 178979088 197818992 201351474 208808936 212537667 234910053 241803576 268468632 283383556 296728488 313213404 322404768 357958176 395637984 402702948 417617872 425075334 469820106 483607152 495921223 536937264 566767112 593456976 626426808 637613001 704730159 805405896 835235744 850150668 939640212 967214304 991842446 1073874528 1133534224 1186913952 1252853616 1275226002 1409460318 1487763669 1610811792 1700301336 1879280424 1912839003 1983684892 2267068448 2505707232 2550452004 2818920636 2975527338 3221623584 3400602672 3758560848 3825678006 3967369784 4463291007 5100904008 5637841272 5951054676 6801205344 7517121696 7651356012 7934739568 8926582014 10201808016 11275682544 11902109352 13389873021 15302712024 15869479136 17853164028 20403616032 22551365088 23804218704 26779746042 30605424048 35706328056 47608437408 53559492084 61210848096 71412656112 107118984168 142825312224 214237968336 428475936672
- Sum of all divisors σ(n): 1510791065280
- Sum of proper divisors (its aliquot sum) s(n): 1082315128608
- 428475936672 is an abundant number, because the sum of its proper divisors (1082315128608) is greater than itself. Its abundance is 653839191936
Bases of 428475936672
- Binary: 1100011110000110010011111101111101000002
- Hexadecimal: 0x63C327EFA0
- Base-36: 5GU7ICO0
Squares and roots of 428475936672
- 428475936672 squared (4284759366722) is 183591628306947754435584
- 428475936672 cubed (4284759366723) is 78664594903957108607153897087336448
-
The
square root of 428475936672 is 654580.7335019877 -
The
cube root of 428475936672 is 7538.9144017941
Scales and comparisons
How big is 428475936672?- 428,475,936,672 seconds is equal to 13,624 years, 10 weeks, 6 days, 5 hours, 31 minutes, 12 seconds.
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To count from 1 to 428,475,936,672 would take you about twenty-seven thousand, two hundred forty-eight 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 428475936672 cubic inches would be around 628.2 feet tall.
Recreational maths with 428475936672
- 428475936672 backwards is 276639574824
- 428475936672 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 428475936672's digits is 63
- More coming soon!
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