106141200
106,141,200 is an even composite number composed of six prime numbers multiplied together.
106141200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 106141200:
24 × 3 × 52 × 112 × 17 × 43
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 11 × 17 × 43)See below for interesting mathematical facts about the number 106141200 from the Numbermatics database.
Names of 106141200
- Cardinal: 106141200 can be written as One hundred six million, one hundred forty-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.061412 × 108
Factors of 106141200
Divisors of 106141200
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 25 30 33 34 40 43 44 48 50 51 55 60 66 68 75 80 85 86 88 100 102 110 120 121 129 132 136 150 165 170 172 176 187 200 204 215 220 240 242 255 258 264 272 275 300 330 340 344 363 374 400 408 425 430 440 473 484 510 516 528 550 561 600 605 645 660 680 688 726 731 748 816 825 850 860 880 935 946 968 1020 1032 1075 1100 1122 1200 1210 1275 1290 1320 1360 1419 1452 1462 1496 1650 1700 1720 1815 1870 1892 1936 2040 2057 2064 2150 2193 2200 2244 2365 2420 2550 2580 2640 2805 2838 2904 2924 2992 3025 3225 3300 3400 3440 3630 3655 3740 3784 4080 4114 4300 4386 4400 4488 4675 4730 4840 5100 5160 5203 5610 5676 5808 5848 6050 6171 6450 6600 6800 7095 7260 7310 7480 7568 8041 8228 8600 8772 8976 9075 9350 9460 9680 10200 10285 10320 10406 10965 11220 11352 11696 11825 12100 12342 12900 13200 14025 14190 14520 14620 14960 15609 16082 16456 17200 17544 18150 18275 18700 18920 20400 20570 20812 21930 22440 22704 23650 24123 24200 24684 25800 26015 28050 28380 29040 29240 30855 31218 32164 32912 35088 35475 36300 36550 37400 37840 40205 41140 41624 43860 44880 47300 48246 48400 49368 51425 51600 52030 54825 56100 56760 58480 61710 62436 64328 70950 72600 73100 74800 78045 80410 82280 83248 87720 88451 94600 96492 98736 102850 104060 109650 112200 113520 120615 123420 124872 128656 130075 141900 145200 146200 154275 156090 160820 164560 175440 176902 189200 192984 201025 205700 208120 219300 224400 241230 246840 249744 260150 265353 283800 292400 308550 312180 321640 353804 385968 390225 402050 411400 416240 438600 442255 482460 493680 520300 530706 567600 603075 617100 624360 643280 707608 780450 804100 822800 877200 884510 964920 1040600 1061412 1206150 1234200 1248720 1326765 1415216 1560900 1608200 1769020 1929840 2081200 2122824 2211275 2412300 2468400 2653530 3121800 3216400 3538040 4245648 4422550 4824600 5307060 6243600 6633825 7076080 8845100 9649200 10614120 13267650 17690200 21228240 26535300 35380400 53070600 106141200
- Sum of all divisors σ(n): 404911584
- Sum of proper divisors (its aliquot sum) s(n): 298770384
- 106141200 is an abundant number, because the sum of its proper divisors (298770384) is greater than itself. Its abundance is 192629184
Bases of 106141200
- Binary: 1100101001110010110000100002
- Hexadecimal: 0x6539610
- Base-36: 1R6Z2O
Squares and roots of 106141200
- 106141200 squared (1061412002) is 11265954337440000
- 106141200 cubed (1061412003) is 1195781912521086528000000
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The
square root of 106141200 is 10302.4851370921 -
The
cube root of 106141200 is 473.4723962667
Scales and comparisons
How big is 106141200?- 106,141,200 seconds is equal to 3 years, 19 weeks, 3 days, 11 hours, 40 minutes.
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To count from 1 to 106,141,200 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 106141200 cubic inches would be around 39.5 feet tall.
Recreational maths with 106141200
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