128142840
128,142,840 is an even composite number composed of seven prime numbers multiplied together.
128142840 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 128142840:
23 × 3 × 5 × 72 × 19 × 31 × 37
(2 × 2 × 2 × 3 × 5 × 7 × 7 × 19 × 31 × 37)See below for interesting mathematical facts about the number 128142840 from the Numbermatics database.
Names of 128142840
- Cardinal: 128142840 can be written as One hundred twenty-eight million, one hundred forty-two thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.2814284 × 108
Factors of 128142840
Divisors of 128142840
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 31 35 37 38 40 42 49 56 57 60 62 70 74 76 84 93 95 98 105 111 114 120 124 133 140 147 148 152 155 168 185 186 190 196 210 217 222 228 245 248 259 266 280 285 294 296 310 370 372 380 392 399 420 434 444 456 465 490 518 532 555 570 588 589 620 651 665 703 735 740 744 760 777 798 840 868 888 930 931 980 1036 1064 1085 1110 1140 1147 1176 1178 1240 1295 1302 1330 1406 1470 1480 1519 1554 1596 1736 1767 1813 1860 1862 1960 1995 2072 2109 2170 2220 2280 2294 2356 2590 2604 2660 2793 2812 2940 2945 3038 3108 3192 3255 3441 3515 3534 3626 3720 3724 3885 3990 4123 4218 4340 4440 4557 4588 4655 4712 4921 5180 5208 5320 5439 5586 5624 5735 5880 5890 6076 6216 6510 6882 7030 7068 7252 7448 7595 7770 7980 8029 8246 8436 8680 8835 9065 9114 9176 9310 9842 10360 10545 10878 11172 11470 11780 12152 12369 13020 13764 13965 14060 14136 14504 14763 15190 15540 15960 16058 16492 16872 17205 17670 18130 18228 18620 19684 20615 21090 21756 21793 22344 22785 22940 23560 24087 24605 24738 26040 27195 27528 27930 28120 28861 29526 30380 31080 32116 32984 34410 34447 35340 36260 36456 37240 39368 40145 41230 42180 43512 43586 45570 45880 48174 49210 49476 54390 55860 56203 57722 59052 60760 61845 64232 65379 68820 68894 70680 72520 73815 80290 82460 84360 86583 87172 91140 96348 98420 98952 103341 108780 108965 111720 112406 115444 118104 120435 123690 130758 137640 137788 144305 147630 152551 160580 164920 168609 172235 173166 174344 182280 192696 196840 206682 217560 217930 224812 230888 240870 247380 261516 275576 281015 288610 295260 305102 321160 326895 337218 344470 346332 413364 432915 435860 449624 457653 481740 494760 516705 523032 562030 577220 590520 610204 653790 674436 688940 692664 762755 826728 843045 865830 871720 915306 963480 1033410 1067857 1124060 1154440 1220408 1307580 1348872 1377880 1525510 1686090 1731660 1830612 2066820 2135714 2248120 2288265 2615160 3051020 3203571 3372180 3463320 3661224 4133640 4271428 4576530 5339285 6102040 6407142 6744360 8542856 9153060 10678570 12814284 16017855 18306120 21357140 25628568 32035710 42714280 64071420 128142840
- Sum of all divisors σ(n): 499046400
- Sum of proper divisors (its aliquot sum) s(n): 370903560
- 128142840 is an abundant number, because the sum of its proper divisors (370903560) is greater than itself. Its abundance is 242760720
Bases of 128142840
- Binary: 1111010001101001101111110002
- Hexadecimal: 0x7A34DF8
- Base-36: 24AJNC
Squares and roots of 128142840
- 128142840 squared (1281428402) is 16420587443265600
- 128142840 cubed (1281428403) is 2104180709448392858304000
-
The
square root of 128142840 is 11320.0194346123 -
The
cube root of 128142840 is 504.1558160207
Scales and comparisons
How big is 128142840?- 128,142,840 seconds is equal to 4 years, 3 weeks, 6 days, 3 hours, 14 minutes.
-
To count from 1 to 128,142,840 would take you about six 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 128142840 cubic inches would be around 42 feet tall.
Recreational maths with 128142840
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