438142300992
438,142,300,992 is an even composite number composed of six prime numbers multiplied together.
What does the number 438142300992 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 504 divisors.
438142300992 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 438142300992:
26 × 32 × 112 × 61 × 257 × 401
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 11 × 61 × 257 × 401)See below for interesting mathematical facts about the number 438142300992 from the Numbermatics database.
Names of 438142300992
- Cardinal: 438142300992 can be written as Four hundred thirty-eight billion, one hundred forty-two million, three hundred thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 4.38142300992 × 1011
Factors of 438142300992
Divisors of 438142300992
- Number of divisors d(n): 504
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 61 64 66 72 88 96 99 121 122 132 144 176 183 192 198 242 244 257 264 288 352 363 366 396 401 484 488 514 528 549 576 671 704 726 732 771 792 802 968 976 1028 1056 1089 1098 1203 1342 1452 1464 1542 1584 1604 1936 1952 2013 2056 2112 2178 2196 2313 2406 2684 2827 2904 2928 3084 3168 3208 3609 3872 3904 4026 4112 4356 4392 4411 4626 4812 5368 5654 5808 5856 6039 6168 6336 6416 7218 7381 7744 8052 8224 8481 8712 8784 8822 9252 9624 10736 11308 11616 11712 12078 12336 12832 13233 14436 14762 15677 16104 16448 16962 17424 17568 17644 18504 19248 21472 22143 22616 23232 24156 24461 24672 25443 25664 26466 28872 29524 31097 31354 32208 33924 34848 35136 35288 37008 38496 39699 42944 44286 45232 47031 48312 48521 48922 49344 50886 52932 57744 59048 62194 62708 64416 66429 67848 69696 70576 73383 74016 76992 79398 88572 90464 93291 94062 96624 97042 97844 101772 103057 105864 115488 118096 124388 125416 128832 132858 135696 141093 141152 145563 146766 148032 158796 172447 177144 180928 186582 188124 193248 194084 195688 203544 206114 211728 220149 230976 236192 248776 250832 265716 269071 271392 279873 282186 282304 291126 293532 309171 317592 344894 354288 373164 376248 386496 388168 391376 407088 412228 423456 436689 440298 472384 497552 501664 517341 531432 538142 542784 559746 564372 582252 587064 618342 635184 689788 708576 746328 752496 776336 782752 807213 814176 824456 846912 873378 880596 927513 995104 1003328 1034682 1062864 1076284 1119492 1128744 1133627 1164504 1174128 1236684 1270368 1379576 1417152 1492656 1504992 1552023 1552672 1565504 1614426 1628352 1648912 1746756 1761192 1855026 1896917 1990208 2069364 2125728 2152568 2238984 2257488 2267254 2329008 2348256 2421639 2473368 2540736 2759152 2959781 2985312 3009984 3104046 3105344 3228852 3297824 3400881 3493512 3522384 3710052 3793834 4138728 4251456 4305136 4477968 4514976 4534508 4658016 4696512 4843278 4946736 5518304 5690751 5919562 5970624 6208092 6286477 6457704 6595648 6801762 6987024 7044768 7420104 7587668 8277456 8610272 8879343 8955936 9029952 9069016 9316032 9686556 9893472 10202643 11036608 11381502 11839124 12416184 12469897 12572954 12915408 13603524 13974048 14089536 14840208 15175336 16554912 17072253 17220544 17758686 17911872 18138032 18859431 19373112 19786944 20405286 22763004 23678248 24832368 24939794 25145908 25830816 26638029 27207048 27948096 29680416 30350672 33109824 34144506 35517372 36276064 37409691 37718862 38746224 40810572 45526008 47356496 49664736 49879588 50291816 51661632 53276058 54414096 56578293 59360832 60701344 68289012 69151247 71034744 72552128 74819382 75437724 77492448 81621144 91052016 94712992 99329472 99759176 100583632 106552116 108828192 112229073 113156586 121402688 136578024 138302494 142069488 149638764 150875448 154984896 163242288 182104032 189425984 199518352 201167264 207453741 213104232 217656384 224458146 226313172 273156048 276604988 284138976 299277528 301750896 326484576 364208064 399036704 402334528 414907482 426208464 448916292 452626344 546312096 553209976 568277952 598555056 603501792 622361223 652969152 760663717 798073408 829814964 852416928 897832584 905252688 1092624192 1106419952 1197110112 1207003584 1244722446 1521327434 1659629928 1704833856 1795665168 1810505376 2212839904 2281991151 2394220224 2489444892 3042654868 3319259856 3591330336 3621010752 4425679808 4563982302 4978889784 6085309736 6638519712 6845973453 7182660672 9127964604 9957779568 12170619472 13277039424 13691946906 18255929208 19915559136 24341238944 27383893812 36511858416 39831118272 48682477888 54767787624 73023716832 109535575248 146047433664 219071150496 438142300992
- Sum of all divisors σ(n): 1412004766536
- Sum of proper divisors (its aliquot sum) s(n): 973862465544
- 438142300992 is an abundant number, because the sum of its proper divisors (973862465544) is greater than itself. Its abundance is 535720164552
Bases of 438142300992
- Binary: 1100110000000110101000011110011010000002
- Hexadecimal: 0x660350F340
- Base-36: 5LA2M340
Squares and roots of 438142300992
- 438142300992 squared (4381423009922) is 191968675918564324184064
- 438142300992 cubed (4381423009923) is 84109597385347312207167233897791488
-
The
square root of 438142300992 is 661923.1836036565 -
The
cube root of 438142300992 is 7595.1856685713
Scales and comparisons
How big is 438142300992?- 438,142,300,992 seconds is equal to 13,931 years, 29 weeks, 4 days, 10 hours, 43 minutes, 12 seconds.
-
To count from 1 to 438,142,300,992 would take you about twenty-seven thousand, eight hundred sixty-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 438142300992 cubic inches would be around 632.9 feet tall.
Recreational maths with 438142300992
- 438142300992 backwards is 299003241834
- The number of decimal digits it has is: 12
- The sum of 438142300992's digits is 45
- More coming soon!
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