78428144080
78,428,144,080 is an even composite number composed of seven prime numbers multiplied together.
78428144080 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 78428144080:
24 × 5 × 112 × 13 × 17 × 61 × 601
(2 × 2 × 2 × 2 × 5 × 11 × 11 × 13 × 17 × 61 × 601)See below for interesting mathematical facts about the number 78428144080 from the Numbermatics database.
Names of 78428144080
- Cardinal: 78428144080 can be written as Seventy-eight billion, four hundred twenty-eight million, one hundred forty-four thousand and eighty.
Scientific notation
- Scientific notation: 7.842814408 × 1010
Factors of 78428144080
Divisors of 78428144080
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 4 5 8 10 11 13 16 17 20 22 26 34 40 44 52 55 61 65 68 80 85 88 104 110 121 122 130 136 143 170 176 187 208 220 221 242 244 260 272 286 305 340 374 440 442 484 488 520 572 601 605 610 671 680 715 748 793 880 884 935 968 976 1037 1040 1105 1144 1202 1210 1220 1342 1360 1430 1496 1573 1586 1768 1870 1936 2057 2074 2210 2288 2404 2420 2431 2440 2684 2860 2992 3005 3146 3172 3355 3536 3740 3965 4114 4148 4420 4808 4840 4862 4880 5185 5368 5720 6010 6292 6344 6611 6710 7381 7480 7813 7865 7930 8228 8296 8723 8840 9616 9680 9724 10217 10285 10370 10736 11407 11440 12020 12155 12584 12688 13222 13420 13481 14762 14960 15626 15730 15860 16456 16592 17446 17680 19448 20434 20570 20740 22814 24040 24310 25168 26444 26741 26840 26962 29524 31252 31460 31720 32912 33055 34892 36661 36905 38896 39065 40868 41140 41480 43615 45628 48080 48620 51085 52888 53482 53680 53924 57035 59048 62504 62920 63440 66110 67405 69784 72721 73322 73810 78130 81736 82280 82960 85943 87230 91256 95953 97240 102170 105776 106964 107848 112387 114070 118096 125008 125477 125840 132220 132821 133705 134810 139568 145442 146644 147620 148291 156260 163472 164560 171886 174460 182512 183305 191906 194480 204340 213928 215696 224774 228140 250954 264440 265642 267410 269620 290884 293288 295240 296582 312520 343772 348920 363605 366610 383812 403271 408680 427856 429715 449548 456280 476593 479765 501908 528880 531284 534820 539240 561935 581768 586576 590480 593164 623237 625040 627385 664105 687544 697840 727210 733220 741455 767624 806542 817360 859430 899096 912560 945373 953186 959530 1003816 1062568 1069640 1078480 1123870 1163536 1186328 1236257 1246474 1254770 1328210 1375088 1454420 1461031 1466440 1482910 1535248 1613084 1631201 1718860 1798192 1890746 1906372 1919060 2007632 2016355 2125136 2139280 2247740 2372656 2382965 2472514 2492948 2509540 2656420 2908840 2922062 2932880 2965820 3116185 3226168 3262402 3437720 3781492 3812744 3838120 4032710 4435981 4495480 4726865 4765930 4945028 4985896 5019080 5242523 5312840 5817680 5844124 5931640 6181285 6232370 6452336 6524804 6855607 6875440 7305155 7562984 7625488 7676240 8065420 8102081 8156005 8871962 8990960 9453730 9531860 9890056 9971792 10038160 10485046 10625680 11688248 11863280 12362570 12464740 13049608 13711214 14610310 15125968 16071341 16130840 16204162 16312010 17743924 18907460 19063720 19780112 20970092 22179905 23376496 24725140 24929480 26099216 26212615 27422428 29220620 32142682 32261680 32408324 32624020 34278035 35487848 37814920 38127440 40510405 41940184 44359810 49450280 49858960 52425230 54844856 57667753 58441240 64285364 64816648 65248040 68556070 70975696 75411677 75629840 80356705 81020810 83880368 88719620 89122891 98900560 104850460 109689712 115335506 116882480 128570728 129633296 130496080 137112140 150823354 160713410 162041620 177439240 178245782 209700920 230671012 257141456 274224280 288338765 301646708 321426820 324083240 354878480 356491564 377058385 419401840 445614455 461342024 548448560 576677530 603293416 642853640 648166480 712983128 754116770 891228910 922684048 980351801 1153355060 1206586832 1285707280 1425966256 1508233540 1782457820 1960703602 2306710120 3016467080 3564915640 3921407204 4613420240 4901759005 6032934160 7129831280 7842814408 9803518010 15685628816 19607036020 39214072040 78428144080
- Sum of all divisors σ(n): 232676920224
- Sum of proper divisors (its aliquot sum) s(n): 154248776144
- 78428144080 is an abundant number, because the sum of its proper divisors (154248776144) is greater than itself. Its abundance is 75820632064
Bases of 78428144080
- Binary: 10010010000101010111010000001110100002
- Hexadecimal: 0x1242AE81D0
- Base-36: 10123B9S
Squares and roots of 78428144080
- 78428144080 squared (784281440802) is 6150973783833239046400
- 78428144080 cubed (784281440803) is 482409458150776046624141005312000
-
The
square root of 78428144080 is 280050.2527761759 -
The
cube root of 78428144080 is 4280.4620006709
Scales and comparisons
How big is 78428144080?- 78,428,144,080 seconds is equal to 2,493 years, 40 weeks, 1 day, 3 hours, 34 minutes, 40 seconds.
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To count from 1 to 78,428,144,080 would take you about four thousand, nine hundred eighty-seven 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 78428144080 cubic inches would be around 356.7 feet tall.
Recreational maths with 78428144080
- 78428144080 backwards is 08044182487
- The number of decimal digits it has is: 11
- The sum of 78428144080's digits is 46
- More coming soon!
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