104005440
104,005,440 is an even composite number composed of six prime numbers multiplied together.
104005440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 104005440:
26 × 32 × 5 × 72 × 11 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 11 × 67)See below for interesting mathematical facts about the number 104005440 from the Numbermatics database.
Names of 104005440
- Cardinal: 104005440 can be written as One hundred four million, five thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.0400544 × 108
Factors of 104005440
Divisors of 104005440
- Number of divisors d(n): 504
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 28 30 32 33 35 36 40 42 44 45 48 49 55 56 60 63 64 66 67 70 72 77 80 84 88 90 96 98 99 105 110 112 120 126 132 134 140 144 147 154 160 165 168 176 180 192 196 198 201 210 220 224 231 240 245 252 264 268 280 288 294 308 315 320 330 335 336 352 360 385 392 396 402 420 440 441 448 462 469 480 490 495 504 528 536 539 560 576 588 603 616 630 660 670 672 693 704 720 735 737 770 784 792 804 840 880 882 924 938 960 980 990 1005 1008 1056 1072 1078 1120 1155 1176 1206 1232 1260 1320 1340 1344 1386 1407 1440 1470 1474 1540 1568 1584 1608 1617 1680 1760 1764 1848 1876 1960 1980 2010 2016 2112 2144 2156 2205 2211 2240 2310 2345 2352 2412 2464 2520 2640 2680 2695 2772 2814 2880 2940 2948 3015 3080 3136 3168 3216 3234 3283 3360 3465 3520 3528 3685 3696 3752 3920 3960 4020 4032 4221 4288 4312 4410 4422 4620 4690 4704 4824 4851 4928 5040 5159 5280 5360 5390 5544 5628 5880 5896 6030 6160 6336 6432 6468 6566 6633 6720 6930 7035 7056 7370 7392 7504 7840 7920 8040 8085 8442 8624 8820 8844 9240 9380 9408 9648 9702 9849 10080 10318 10560 10720 10780 11055 11088 11256 11760 11792 12060 12320 12864 12936 13132 13266 13860 14070 14112 14740 14784 15008 15477 15680 15840 16080 16170 16415 16884 17248 17640 17688 18480 18760 19296 19404 19698 20160 20636 21105 21440 21560 22110 22176 22512 23520 23584 24120 24255 24640 25795 25872 26264 26532 27720 28140 28224 29480 29547 30016 30954 31680 32160 32340 32830 33165 33768 34496 35280 35376 36113 36960 37520 38592 38808 39396 41272 42210 43120 44220 44352 45024 46431 47040 47168 48240 48510 49245 51590 51744 52528 53064 55440 56280 58960 59094 61908 64320 64680 65660 66330 67536 70560 70752 72226 73920 75040 77385 77616 78792 82544 84420 86240 88440 90048 92862 96480 97020 98490 103180 103488 105056 106128 108339 110880 112560 117920 118188 123816 129360 131320 132660 135072 141120 141504 144452 147735 150080 154770 155232 157584 165088 168840 172480 176880 180565 185724 192960 194040 196980 206360 210112 212256 216678 221760 225120 232155 235840 236376 247632 258720 262640 265320 270144 288904 295470 309540 310464 315168 325017 330176 337680 353760 361130 371448 388080 393960 412720 424512 433356 450240 464310 472752 495264 517440 525280 530640 541695 577808 590940 619080 630336 650034 675360 707520 722260 742896 776160 787920 825440 866712 928620 945504 990528 1050560 1061280 1083390 1155616 1181880 1238160 1300068 1350720 1444520 1485792 1552320 1575840 1625085 1650880 1733424 1857240 1891008 2122560 2166780 2311232 2363760 2476320 2600136 2889040 2971584 3151680 3250170 3466848 3714480 4333560 4727520 4952640 5200272 5778080 6500340 6933696 7428960 8667120 9455040 10400544 11556160 13000680 14857920 17334240 20801088 26001360 34668480 52002720 104005440
- Sum of all divisors σ(n): 460747872
- Sum of proper divisors (its aliquot sum) s(n): 356742432
- 104005440 is an abundant number, because the sum of its proper divisors (356742432) is greater than itself. Its abundance is 252736992
Bases of 104005440
- Binary: 1100011001011111111010000002
- Hexadecimal: 0x632FF40
- Base-36: 1PX740
Squares and roots of 104005440
- 104005440 squared (1040054402) is 10817131549593600
- 104005440 cubed (1040054403) is 1125040526353364189184000
-
The
square root of 104005440 is 10198.3057416415 -
The
cube root of 104005440 is 470.2751369273
Scales and comparisons
How big is 104005440?- 104,005,440 seconds is equal to 3 years, 15 weeks, 6 days, 18 hours, 24 minutes.
-
To count from 1 to 104,005,440 would take you about four 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 104005440 cubic inches would be around 39.2 feet tall.
Recreational maths with 104005440
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