68421600
68,421,600 is an even composite number composed of six prime numbers multiplied together.
68421600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 68421600:
25 × 32 × 52 × 13 × 17 × 43
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 17 × 43)See below for interesting mathematical facts about the number 68421600 from the Numbermatics database.
Names of 68421600
- Cardinal: 68421600 can be written as Sixty-eight million, four hundred twenty-one thousand, six hundred.
Scientific notation
- Scientific notation: 6.84216 × 107
Factors of 68421600
Divisors of 68421600
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 30 32 34 36 39 40 43 45 48 50 51 52 60 65 68 72 75 78 80 85 86 90 96 100 102 104 117 120 129 130 136 144 150 153 156 160 170 172 180 195 200 204 208 215 221 225 234 240 255 258 260 272 288 300 306 312 325 340 344 360 387 390 400 408 416 425 430 442 450 468 480 510 516 520 544 559 585 600 612 624 645 650 663 680 688 720 731 765 774 780 800 816 850 860 884 900 936 975 1020 1032 1040 1075 1105 1118 1170 1200 1224 1248 1275 1290 1300 1326 1360 1376 1440 1462 1530 1548 1560 1632 1677 1700 1720 1768 1800 1872 1935 1950 1989 2040 2064 2080 2150 2193 2210 2236 2340 2400 2448 2550 2580 2600 2652 2720 2795 2924 2925 3060 3096 3120 3225 3315 3354 3400 3440 3536 3600 3655 3744 3825 3870 3900 3978 4080 4128 4300 4386 4420 4472 4680 4896 5031 5100 5160 5200 5304 5525 5590 5848 5850 6120 6192 6240 6450 6579 6630 6708 6800 6880 7072 7200 7310 7650 7740 7800 7956 8160 8385 8600 8772 8840 8944 9360 9503 9675 9945 10062 10200 10320 10400 10608 10965 11050 11180 11696 11700 12240 12384 12900 13158 13260 13416 13600 13975 14620 15300 15480 15600 15912 16575 16770 17200 17544 17680 17888 18275 18720 19006 19350 19890 20124 20400 20640 21216 21930 22100 22360 23392 23400 24480 25155 25800 26316 26520 26832 27950 28509 29240 30600 30960 31200 31824 32895 33150 33540 34400 35088 35360 36550 38012 38700 39780 40248 40800 41925 43860 44200 44720 46800 47515 49725 50310 51600 52632 53040 53664 54825 55900 57018 58480 61200 61920 63648 65790 66300 67080 70176 73100 76024 77400 79560 80496 83850 85527 87720 88400 89440 93600 95030 99450 100620 103200 105264 106080 109650 111800 114036 116960 122400 125775 131580 132600 134160 142545 146200 152048 154800 159120 160992 164475 167700 171054 175440 176800 190060 198900 201240 210528 219300 223600 228072 237575 251550 263160 265200 268320 285090 292400 304096 309600 318240 328950 335400 342108 350880 380120 397800 402480 427635 438600 447200 456144 475150 503100 526320 530400 570180 584800 657900 670800 684216 712725 760240 795600 804960 855270 877200 912288 950300 1006200 1052640 1140360 1315800 1341600 1368432 1425450 1520480 1591200 1710540 1754400 1900600 2012400 2138175 2280720 2631600 2736864 2850900 3421080 3801200 4024800 4276350 4561440 5263200 5701800 6842160 7602400 8552700 11403600 13684320 17105400 22807200 34210800 68421600
- Sum of all divisors σ(n): 281513232
- Sum of proper divisors (its aliquot sum) s(n): 213091632
- 68421600 is an abundant number, because the sum of its proper divisors (213091632) is greater than itself. Its abundance is 144670032
Bases of 68421600
- Binary: 1000001010000000111111000002
- Hexadecimal: 0x41407E0
- Base-36: 14QIG0
Squares and roots of 68421600
- 68421600 squared (684216002) is 4681515346560000
- 68421600 cubed (684216003) is 320316770436189696000000
-
The
square root of 68421600 is 8271.7350054267 -
The
cube root of 68421600 is 409.0073149059
Scales and comparisons
How big is 68421600?- 68,421,600 seconds is equal to 2 years, 9 weeks, 22 hours.
-
To count from 1 to 68,421,600 would take you about three 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 68421600 cubic inches would be around 34.1 feet tall.
Recreational maths with 68421600
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