319428837728
319,428,837,728 is an even composite number composed of six prime numbers multiplied together.
What does the number 319428837728 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 432 divisors.
319428837728 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 319428837728:
25 × 72 × 11 × 13 × 232 × 2693
(2 × 2 × 2 × 2 × 2 × 7 × 7 × 11 × 13 × 23 × 23 × 2693)See below for interesting mathematical facts about the number 319428837728 from the Numbermatics database.
Names of 319428837728
- Cardinal: 319428837728 can be written as Three hundred nineteen billion, four hundred twenty-eight million, eight hundred thirty-seven thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 3.19428837728 × 1011
Factors of 319428837728
Divisors of 319428837728
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 4 7 8 11 13 14 16 22 23 26 28 32 44 46 49 52 56 77 88 91 92 98 104 112 143 154 161 176 182 184 196 208 224 253 286 299 308 322 352 364 368 392 416 506 529 539 572 598 616 637 644 728 736 784 1001 1012 1058 1078 1127 1144 1196 1232 1274 1288 1456 1568 1771 2002 2024 2093 2116 2156 2254 2288 2392 2464 2548 2576 2693 2912 3289 3542 3703 4004 4048 4186 4232 4312 4508 4576 4784 5096 5152 5386 5819 6578 6877 7007 7084 7406 8008 8096 8372 8464 8624 9016 9568 10192 10772 11638 12397 13156 13754 14014 14168 14651 14812 16016 16744 16928 17248 18032 18851 20384 21544 23023 23276 24794 25921 26312 27508 28028 28336 29302 29623 29624 32032 33488 35009 36064 37702 40733 43088 46046 46552 48139 49588 51842 52624 55016 56056 56672 58604 59246 59248 61939 66976 70018 75404 75647 81466 86176 92092 93104 96278 99176 103684 105248 110032 112112 117208 118492 118496 123878 131957 140036 150808 151294 161161 162932 184184 186208 192556 198352 207361 207368 220064 224224 234416 236984 245063 247756 263914 280072 285131 301616 302588 322322 325864 336973 368368 385099 385112 396704 414722 414736 433573 468832 473968 490126 495512 527828 529529 560144 570262 603232 605176 644644 651728 673946 681329 736736 770198 770224 805207 829444 829472 867146 947936 980252 991024 1055656 1059058 1120288 1140524 1210352 1289288 1303456 1347892 1362658 1424597 1451527 1540396 1540448 1610414 1658888 1715441 1734292 1960504 1982048 2111312 2118116 2281048 2420704 2578576 2695693 2695784 2725316 2849194 2903054 3035011 3080792 3220828 3317776 3430882 3468584 3706703 3921008 4222624 4236232 4562096 4769303 5157152 5391386 5391568 5450632 5636449 5698388 5806108 6070022 6161584 6441656 6635552 6861764 6937168 7413406 7842016 8472464 8857277 9124192 9538606 9972179 10782772 10783136 10901264 11272898 11396776 11612216 12140044 12323168 12883312 13723528 13874336 14826812 15670567 16944928 17714554 18519761 18869851 19077212 19944358 21565544 21802528 22545796 22793552 23224432 24280088 25766624 27447056 29653624 31341134 33385121 35429108 37039522 37739702 38154424 39455143 39888716 43131088 45091592 45587104 46448864 48560176 54894112 59307248 62000939 62682268 66770242 69805253 70858216 74079044 75479404 76308848 78910286 79777432 86262176 90183184 97120352 109693969 118614496 124001878 125364536 129638327 133540484 139610506 141716432 148158088 150958808 152617696 157820572 159554864 180366368 203717371 219387938 248003756 250729072 259276654 267080968 279221012 283432864 296316176 301917616 315641144 319109728 407434742 434006573 438775876 496007512 501458144 518553308 534161936 558442024 592632352 603835232 631282288 767857783 814869484 868013146 877551752 907468289 992015024 1037106616 1068323872 1116884048 1262564576 1426021597 1535715566 1629738968 1736026292 1755103504 1814936578 1984030048 2074213232 2233768096 2852043194 3071431132 3259477936 3472052584 3510207008 3629873156 4148426464 5704086388 6142862264 6518955872 6944105168 7259746312 9982151179 11408172776 12285724528 13888210336 14519492624 19964302358 22816345552 24571449056 29038985248 39928604716 45632691104 79857209432 159714418864 319428837728
- Sum of all divisors σ(n): 898767603216
- Sum of proper divisors (its aliquot sum) s(n): 579338765488
- 319428837728 is an abundant number, because the sum of its proper divisors (579338765488) is greater than itself. Its abundance is 259909927760
Bases of 319428837728
- Binary: 1001010010111110111000101000001011000002
- Hexadecimal: 0x4A5F714160
- Base-36: 42QROKM8
Squares and roots of 319428837728
- 319428837728 squared (3194288377282) is 102034782372260956201984
- 319428837728 cubed (3194288377283) is 32592851941000739867113662327652352
-
The
square root of 319428837728 is 565180.3585829925 -
The
cube root of 319428837728 is 6835.8318891811
Scales and comparisons
How big is 319428837728?- 319,428,837,728 seconds is equal to 10,156 years, 44 weeks, 1 day, 42 minutes, 8 seconds.
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To count from 1 to 319,428,837,728 would take you about twenty thousand, three hundred thirteen 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 319428837728 cubic inches would be around 569.7 feet tall.
Recreational maths with 319428837728
- 319428837728 backwards is 827738824913
- The number of decimal digits it has is: 12
- The sum of 319428837728's digits is 62
- More coming soon!
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