106814400
106,814,400 is an even composite number composed of six prime numbers multiplied together.
106814400 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 106814400:
26 × 3 × 52 × 7 × 11 × 172
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 11 × 17 × 17)See below for interesting mathematical facts about the number 106814400 from the Numbermatics database.
Names of 106814400
- Cardinal: 106814400 can be written as One hundred six million, eight hundred fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.068144 × 108
Factors of 106814400
Divisors of 106814400
- Number of divisors d(n): 504
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 17 20 21 22 24 25 28 30 32 33 34 35 40 42 44 48 50 51 55 56 60 64 66 68 70 75 77 80 84 85 88 96 100 102 105 110 112 119 120 132 136 140 150 154 160 165 168 170 175 176 187 192 200 204 210 220 224 231 238 240 255 264 272 275 280 289 300 308 320 330 336 340 350 352 357 374 385 400 408 420 425 440 448 462 476 480 510 525 528 544 550 560 561 578 595 600 616 660 672 680 700 704 714 748 770 800 816 825 840 850 867 880 924 935 952 960 1020 1050 1056 1088 1100 1120 1122 1155 1156 1190 1200 1232 1275 1309 1320 1344 1360 1400 1428 1445 1496 1540 1600 1632 1650 1680 1700 1734 1760 1785 1848 1870 1904 1925 2023 2040 2100 2112 2200 2240 2244 2310 2312 2380 2400 2464 2550 2618 2640 2720 2800 2805 2856 2890 2975 2992 3080 3179 3264 3300 3360 3400 3468 3520 3570 3696 3740 3808 3850 3927 4046 4080 4200 4335 4400 4488 4620 4624 4675 4760 4800 4928 5100 5236 5280 5440 5600 5610 5712 5775 5780 5950 5984 6069 6160 6358 6545 6600 6720 6800 6936 7140 7225 7392 7480 7616 7700 7854 8092 8160 8400 8670 8800 8925 8976 9240 9248 9350 9520 9537 10115 10200 10472 10560 11200 11220 11424 11550 11560 11900 11968 12138 12320 12716 13090 13200 13600 13872 14025 14280 14450 14784 14960 15400 15708 15895 16184 16320 16800 17340 17600 17850 17952 18480 18496 18700 19040 19074 19635 20230 20400 20944 21675 22253 22440 22848 23100 23120 23800 24276 24640 25432 26180 26400 27200 27744 28050 28560 28900 29920 30345 30800 31416 31790 32368 32725 33600 34680 35700 35904 36960 37400 38080 38148 39270 40460 40800 41888 43350 44506 44880 46200 46240 47600 47685 48552 50575 50864 52360 52800 55488 56100 57120 57800 59840 60690 61600 62832 63580 64736 65450 66759 69360 71400 73920 74800 76296 78540 79475 80920 81600 83776 86700 89012 89760 92400 92480 95200 95370 97104 98175 101150 101728 104720 111265 112200 114240 115600 121380 123200 125664 127160 129472 130900 133518 138720 142800 149600 151725 152592 157080 158950 161840 173400 178024 179520 184800 190400 190740 194208 196350 202300 203456 209440 222530 224400 231200 238425 242760 251328 254320 261800 267036 277440 285600 299200 303450 305184 314160 317900 323680 333795 346800 356048 369600 381480 388416 392700 404600 418880 445060 448800 462400 476850 485520 508640 523600 534072 556325 571200 606900 610368 628320 635800 647360 667590 693600 712096 762960 785400 809200 890120 897600 953700 971040 1017280 1047200 1068144 1112650 1213800 1256640 1271600 1335180 1387200 1424192 1525920 1570800 1618400 1668975 1780240 1907400 1942080 2094400 2136288 2225300 2427600 2543200 2670360 3051840 3141600 3236800 3337950 3560480 3814800 4272576 4450600 4855200 5086400 5340720 6283200 6675900 7120960 7629600 8901200 9710400 10681440 13351800 15259200 17802400 21362880 26703600 35604800 53407200 106814400
- Sum of all divisors σ(n): 464125056
- Sum of proper divisors (its aliquot sum) s(n): 357310656
- 106814400 is an abundant number, because the sum of its proper divisors (357310656) is greater than itself. Its abundance is 250496256
Bases of 106814400
- Binary: 1100101110111011011110000002
- Hexadecimal: 0x65DDBC0
- Base-36: 1RLEIO
Squares and roots of 106814400
- 106814400 squared (1068144002) is 11409316047360000
- 106814400 cubed (1068144003) is 1218679248009129984000000
-
The
square root of 106814400 is 10335.1052244281 -
The
cube root of 106814400 is 474.4712861395
Scales and comparisons
How big is 106814400?- 106,814,400 seconds is equal to 3 years, 20 weeks, 4 days, 6 hours, 40 minutes.
-
To count from 1 to 106,814,400 would take you about five 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 106814400 cubic inches would be around 39.5 feet tall.
Recreational maths with 106814400
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