164419920
164,419,920 is an even composite number composed of seven prime numbers multiplied together.
164419920 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 164419920:
24 × 32 × 5 × 7 × 17 × 19 × 101
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 17 × 19 × 101)See below for interesting mathematical facts about the number 164419920 from the Numbermatics database.
Names of 164419920
- Cardinal: 164419920 can be written as One hundred sixty-four million, four hundred nineteen thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.6441992 × 108
Factors of 164419920
Divisors of 164419920
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 19 20 21 24 28 30 34 35 36 38 40 42 45 48 51 56 57 60 63 68 70 72 76 80 84 85 90 95 101 102 105 112 114 119 120 126 133 136 140 144 152 153 168 170 171 180 190 202 204 210 228 238 240 252 255 266 272 280 285 303 304 306 315 323 336 340 342 357 360 380 399 404 408 420 456 476 504 505 510 532 560 570 595 606 612 630 646 665 680 684 707 714 720 760 765 798 808 816 840 855 909 912 952 969 1008 1010 1020 1064 1071 1140 1190 1197 1212 1224 1260 1292 1330 1360 1368 1414 1428 1515 1520 1530 1596 1615 1616 1680 1710 1717 1785 1818 1904 1919 1938 1995 2020 2040 2121 2128 2142 2261 2280 2380 2394 2424 2448 2520 2584 2660 2736 2828 2856 2907 3030 3060 3192 3230 3420 3434 3535 3570 3636 3838 3876 3990 4040 4080 4242 4284 4522 4545 4560 4760 4788 4845 4848 5040 5151 5168 5320 5355 5656 5712 5757 5814 5985 6060 6120 6363 6384 6460 6783 6840 6868 7070 7140 7272 7676 7752 7980 8080 8484 8568 8585 9044 9090 9520 9576 9595 9690 10302 10605 10640 10710 11305 11312 11514 11628 11970 12019 12120 12240 12726 12920 13433 13566 13680 13736 14140 14280 14535 14544 15352 15453 15504 15960 16968 17136 17170 17271 18088 18180 19152 19190 19380 20349 20604 21210 21420 22610 23028 23256 23940 24038 24240 25452 25755 25840 26866 27132 27472 28280 28560 28785 29070 30704 30906 31815 31920 32623 33915 33936 34340 34542 36057 36176 36360 38380 38760 40299 40698 41208 42420 42840 45220 46056 46512 47880 48076 50904 51510 53732 54264 56560 57570 58140 60095 61812 63630 65246 67165 67830 68680 69084 72114 72720 76760 77265 77520 80598 81396 82416 84840 85680 86355 90440 92112 95760 96152 97869 101745 101808 103020 107464 108171 108528 115140 116280 120190 120897 123624 127260 130492 134330 135660 137360 138168 144228 153520 154530 161196 162792 163115 169680 172710 180285 180880 192304 195738 201495 203490 206040 214928 216342 228361 230280 232560 240380 241794 247248 254520 260984 268660 271320 276336 288456 293607 309060 322392 325584 326230 345420 360570 391476 402990 406980 412080 432684 456722 460560 480760 483588 489345 509040 521968 537320 540855 542640 576912 587214 604485 618120 644784 652460 685083 690840 721140 782952 805980 813960 865368 913444 961520 967176 978690 1074640 1081710 1141805 1174428 1208970 1236240 1304920 1370166 1381680 1442280 1468035 1565904 1611960 1627920 1730736 1826888 1934352 1957380 2055249 2163420 2283610 2348856 2417940 2609840 2740332 2884560 2936070 3223920 3425415 3653776 3914760 4110498 4326840 4567220 4697712 4835880 5480664 5872140 6850830 7829520 8220996 8653680 9134440 9671760 10276245 10961328 11744280 13701660 16441992 18268880 20552490 23488560 27403320 32883984 41104980 54806640 82209960 164419920
- Sum of all divisors σ(n): 710311680
- Sum of proper divisors (its aliquot sum) s(n): 545891760
- 164419920 is an abundant number, because the sum of its proper divisors (545891760) is greater than itself. Its abundance is 381471840
Bases of 164419920
- Binary: 10011100110011011001010100002
- Hexadecimal: 0x9CCD950
- Base-36: 2PW380
Squares and roots of 164419920
- 164419920 squared (1644199202) is 27033910092806400
- 164419920 cubed (1644199203) is 4444913334746420863488000
-
The
square root of 164419920 is 12822.6331149261 -
The
cube root of 164419920 is 547.8371476947
Scales and comparisons
How big is 164419920?- 164,419,920 seconds is equal to 5 years, 11 weeks, 6 days, 12 minutes.
-
To count from 1 to 164,419,920 would take you about 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 164419920 cubic inches would be around 45.7 feet tall.
Recreational maths with 164419920
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