828414972
828,414,972 is an even composite number composed of six prime numbers multiplied together.
828414972 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 828414972:
22 × 33 × 73 × 11 × 19 × 107
(2 × 2 × 3 × 3 × 3 × 7 × 7 × 7 × 11 × 19 × 107)See below for interesting mathematical facts about the number 828414972 from the Numbermatics database.
Names of 828414972
- Cardinal: 828414972 can be written as Eight hundred twenty-eight million, four hundred fourteen thousand, nine hundred seventy-two.
Scientific notation
- Scientific notation: 8.28414972 × 108
Factors of 828414972
Divisors of 828414972
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 7 9 11 12 14 18 19 21 22 27 28 33 36 38 42 44 49 54 57 63 66 76 77 84 98 99 107 108 114 126 132 133 147 154 171 189 196 198 209 214 228 231 252 266 294 297 308 321 342 343 378 396 399 418 428 441 462 513 532 539 588 594 627 642 684 686 693 749 756 798 836 882 924 931 963 1026 1029 1078 1177 1188 1197 1254 1284 1323 1372 1386 1463 1498 1596 1617 1764 1862 1881 1926 2033 2052 2058 2079 2156 2247 2354 2394 2508 2646 2772 2793 2889 2926 2996 3087 3234 3531 3591 3724 3762 3773 3852 4066 4116 4158 4389 4494 4708 4788 4851 5243 5292 5586 5643 5778 5852 6099 6174 6468 6517 6741 7062 7182 7524 7546 8132 8239 8316 8379 8778 8988 9261 9702 10241 10486 10593 11172 11286 11319 11556 12198 12348 13034 13167 13482 14124 14231 14364 14553 15092 15729 16478 16758 17556 18297 18522 19404 19551 20223 20482 20972 21186 22363 22572 22638 24396 24717 25137 26068 26334 26964 28462 29106 30723 31458 31779 32956 33516 33957 36594 36701 37044 39102 39501 40446 40964 42372 42693 44726 45276 47187 49434 50274 52668 54891 56924 57673 58212 58653 61446 62916 63558 67089 67914 71687 73188 73402 74151 78204 79002 80892 85386 89452 92169 94374 98868 99617 100548 101871 109782 110103 115346 117306 122892 127116 128079 134178 135828 141561 143374 146804 148302 156541 158004 170772 173019 175959 184338 188748 199234 201267 203742 215061 219564 220206 222453 230692 234612 256158 268356 276507 283122 286748 296604 298851 313082 330309 346038 351918 368676 384237 398468 402534 403711 407484 430122 440412 444906 469623 512316 519057 553014 566244 597702 603801 626164 645183 660618 692076 697319 703836 768474 805068 807422 860244 889812 896553 939246 990927 1038114 1095787 1106028 1195404 1207602 1211133 1290366 1321236 1394638 1408869 1536948 1557171 1614844 1793106 1878492 1935549 1981854 2076228 2091957 2191574 2415204 2422266 2580732 2689659 2789276 2817738 3114342 3287361 3586212 3633399 3871098 3963708 4183914 4226607 4383148 4844532 5379318 5635476 6228684 6275871 6574722 7266798 7670509 7742196 8367828 8453214 9862083 10758636 10900197 12551742 13149444 14533596 15341018 16906428 18827613 19724166 21800394 23011527 25103484 29586249 30682036 37655226 39448332 43600788 46023054 59172498 69034581 75310452 92046108 118344996 138069162 207103743 276138324 414207486 828414972
- Sum of all divisors σ(n): 2903040000
- Sum of proper divisors (its aliquot sum) s(n): 2074625028
- 828414972 is an abundant number, because the sum of its proper divisors (2074625028) is greater than itself. Its abundance is 1246210056
Bases of 828414972
- Binary: 1100010110000010011011111111002
- Hexadecimal: 0x31609BFC
- Base-36: DP7T30
Squares and roots of 828414972
- 828414972 squared (8284149722) is 686271365833760784
- 828414972 cubed (8284149723) is 568517474311576696532058048
-
The
square root of 828414972 is 28782.1988736097 -
The
cube root of 828414972 is 939.1810325765
Scales and comparisons
How big is 828414972?- 828,414,972 seconds is equal to 26 years, 17 weeks, 5 days, 3 hours, 16 minutes, 12 seconds.
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To count from 1 to 828,414,972 would take you about thirty-nine 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 828414972 cubic inches would be around 78.3 feet tall.
Recreational maths with 828414972
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