84142584064
84,142,584,064 is an even composite number composed of seven prime numbers multiplied together.
84142584064 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 84142584064:
28 × 7 × 11 × 19 × 29 × 61 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 19 × 29 × 61 × 127)See below for interesting mathematical facts about the number 84142584064 from the Numbermatics database.
Names of 84142584064
- Cardinal: 84142584064 can be written as Eighty-four billion, one hundred forty-two million, five hundred eighty-four thousand and sixty-four.
Scientific notation
- Scientific notation: 8.4142584064 × 1010
Factors of 84142584064
Divisors of 84142584064
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 4 7 8 11 14 16 19 22 28 29 32 38 44 56 58 61 64 76 77 88 112 116 122 127 128 133 152 154 176 203 209 224 232 244 254 256 266 304 308 319 352 406 418 427 448 464 488 508 532 551 608 616 638 671 704 812 836 854 889 896 928 976 1016 1064 1102 1159 1216 1232 1276 1342 1397 1408 1463 1624 1672 1708 1769 1778 1792 1856 1952 2032 2128 2204 2233 2318 2413 2432 2464 2552 2684 2794 2816 2926 3248 3344 3416 3538 3556 3683 3712 3857 3904 4064 4256 4408 4466 4636 4697 4826 4864 4928 5104 5368 5588 5852 6061 6496 6688 6832 7076 7112 7366 7424 7714 7747 7808 8113 8128 8512 8816 8932 9272 9394 9652 9779 9856 10208 10736 11176 11704 12122 12383 12749 12992 13376 13664 14152 14224 14732 15428 15494 15616 16226 16256 16891 17024 17632 17864 18544 18788 19304 19459 19558 19712 20416 21472 22352 23408 24244 24766 25498 25781 25984 26543 26752 27328 28304 28448 29464 30856 30988 32452 32512 33611 33782 34048 35264 35728 37088 37576 38608 38918 39116 40513 40832 42427 42944 44704 46816 48488 49532 50996 51562 51968 53086 53504 54229 54656 56608 56896 58928 61712 61976 64904 67222 67564 69977 70528 71456 74176 75152 77216 77836 78232 81026 81664 84854 85217 85888 89243 89408 93632 96976 99064 101992 103124 106172 108458 109312 113216 113792 117856 123424 123952 129808 134444 135128 136213 139954 141056 142912 147193 148352 150304 154432 155672 156464 162052 169708 170434 171776 178486 178816 185801 187264 193952 198128 203984 206248 212344 216916 224663 226432 227584 235277 235712 246848 247904 259616 268888 270256 272426 279908 283591 285824 294386 296704 300608 308864 311344 312928 324104 339416 340868 356972 357632 369721 371602 374528 387904 396256 407968 412496 424688 433832 449326 452864 470554 471424 489839 493696 495808 519232 537776 540512 544852 559816 567182 571648 588772 596519 601216 617728 622688 625856 648208 678832 681736 713944 739442 743204 769747 775808 792512 815936 824992 849376 867664 898652 941108 942848 979678 987392 991616 1030351 1038464 1075552 1081024 1089704 1119632 1134364 1177544 1193038 1202432 1245376 1251712 1296416 1357664 1363472 1427888 1478884 1486408 1539494 1551616 1572641 1585024 1619123 1631872 1649984 1698752 1735328 1797304 1882216 1959356 1983232 2060702 2076928 2151104 2162048 2179408 2239264 2268728 2355088 2386076 2471293 2490752 2503424 2588047 2592832 2715328 2726944 2855776 2957768 2972816 3078988 3145282 3170048 3238246 3263744 3299968 3397504 3470656 3594608 3764432 3918712 4121404 4268597 4302208 4324096 4358816 4478528 4537456 4710176 4772152 4942586 4981504 5176094 5185664 5388229 5430656 5453888 5711552 5915536 5945632 6157976 6290564 6476492 6599936 6795008 6941312 7189216 7528864 7837424 8242808 8537194 8604416 8717632 8957056 9074912 9420352 9544304 9885172 10352188 10371328 10776458 10861312 10907776 11333861 11423104 11831072 11891264 12315952 12581128 12952984 13882624 14378432 15057728 15674848 16485616 17074388 17299051 17435264 17914112 18149824 18840704 19088608 19770344 20704376 21552916 21815552 22667722 22846208 23662144 23782528 24631904 25162256 25905968 28756864 29880179 30115456 31349696 32971232 34148776 34598102 34870528 36299648 37681408 38177216 39540688 41408752 43105832 45335444 46954567 47324288 47565056 49263808 50324512 51811936 57513728 59760358 60230912 62699392 65942464 68297552 69196204 72599296 76354432 79081376 82817504 86211664 90670888 93909134 94648576 98527616 100649024 103623872 119520716 125398784 131884928 136595104 138392408 152708864 158162752 165635008 172423328 181341776 187818268 197055232 201298048 207247744 239041432 263769856 273190208 276784816 316325504 328681969 331270016 344846656 362683552 375636536 402596096 414495488 478082864 546380416 553569632 632651008 657363938 662540032 689693312 725367104 751273072 956165728 1092760832 1107139264 1314727876 1379386624 1450734208 1502546144 1912331456 2214278528 2629455752 2901468416 3005092288 3824662912 4428557056 5258911504 6010184576 7649325824 10517823008 12020369152 21035646016 42071292032 84142584064
- Sum of all divisors σ(n): 233585049600
- Sum of proper divisors (its aliquot sum) s(n): 149442465536
- 84142584064 is an abundant number, because the sum of its proper divisors (149442465536) is greater than itself. Its abundance is 65299881472
Bases of 84142584064
- Binary: 10011100101110100100111110001000000002
- Hexadecimal: 0x139749F100
- Base-36: 12NKBLDS
Squares and roots of 84142584064
- 84142584064 squared (841425840642) is 7079974452967306756096
- 84142584064 cubed (841425840643) is 595727345579774022968482824454144
-
The
square root of 84142584064 is 290073.4115081905 -
The
cube root of 84142584064 is 4381.9957138975
Scales and comparisons
How big is 84142584064?- 84,142,584,064 seconds is equal to 2,675 years, 24 weeks, 4 days, 12 hours, 1 minute, 4 seconds.
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To count from 1 to 84,142,584,064 would take you about five thousand, three hundred fifty 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 84142584064 cubic inches would be around 365.2 feet tall.
Recreational maths with 84142584064
- 84142584064 backwards is 46048524148
- The number of decimal digits it has is: 11
- The sum of 84142584064's digits is 46
- More coming soon!
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