42574287137200000
42,574,287,137,200,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42574287137200000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 6912 divisors.
42574287137200000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six thousand, nine hundred twelve divisors.
Prime factorization of 42574287137200000:
27 × 55 × 72 × 132 × 17 × 293 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 17 × 29 × 29 × 29 × 31)See below for interesting mathematical facts about the number 42574287137200000 from the Numbermatics database.
Names of 42574287137200000
- Cardinal: 42574287137200000 can be written as Forty-two quadrillion, five hundred seventy-four trillion, two hundred eighty-seven billion, one hundred thirty-seven million, two hundred thousand.
Scientific notation
- Scientific notation: 4.25742871372 × 1016
Factors of 42574287137200000
Divisors of 42574287137200000
- Number of divisors d(n): 6912
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 25 26 28 29 31 32 34 35 40 49 50 52 56 58 62 64 65 68 70 80 85 91 98 100 104 112 116 119 124 125 128 130 136 140 145 155 160 169 170 175 182 196 200 203 208 217 221 224 232 238 245 248 250 260 272 280 290 310 320 325 338 340 350 364 377 392 400 403 406 416 425 434 442 448 455 464 476 490 493 496 500 520 527 544 560 580 595 620 625 637 640 650 676 680 700 725 728 754 775 784 800 806 812 832 833 841 845 850 868 875 884 896 899 910 928 952 980 986 992 1000 1015 1040 1054 1085 1088 1105 1120 1160 1183 1190 1225 1240 1250 1274 1300 1352 1360 1400 1421 1450 1456 1508 1519 1547 1550 1568 1600 1612 1624 1625 1664 1666 1682 1690 1700 1736 1750 1768 1798 1820 1856 1885 1904 1960 1972 1984 2000 2015 2030 2080 2108 2125 2170 2176 2210 2240 2275 2320 2366 2380 2450 2465 2480 2500 2548 2600 2635 2639 2704 2720 2800 2821 2842 2873 2900 2912 2975 3016 3038 3094 3100 3125 3136 3185 3200 3224 3248 3250 3332 3364 3380 3400 3451 3472 3500 3536 3596 3625 3640 3689 3712 3770 3808 3875 3920 3944 3968 4000 4030 4060 4160 4165 4205 4216 4225 4250 4340 4375 4420 4480 4495 4550 4640 4732 4760 4900 4901 4930 4960 5000 5075 5096 5200 5239 5270 5278 5408 5425 5440 5525 5600 5642 5684 5746 5800 5824 5887 5915 5950 6032 6076 6125 6188 6200 6250 6272 6293 6370 6409 6448 6496 6500 6664 6728 6760 6800 6851 6902 6944 7000 7072 7105 7192 7250 7280 7378 7540 7595 7616 7735 7750 7840 7888 8000 8060 8120 8125 8281 8320 8330 8410 8432 8450 8500 8680 8750 8840 8990 9100 9280 9425 9464 9520 9800 9802 9860 9920 10000 10075 10150 10192 10400 10478 10540 10556 10625 10816 10829 10850 10880 10933 11050 11200 11284 11368 11375 11492 11600 11648 11687 11774 11830 11900 12064 12152 12250 12325 12376 12400 12500 12586 12740 12818 12896 12992 13000 13175 13195 13328 13456 13520 13600 13702 13804 13888 14000 14105 14144 14210 14297 14365 14384 14500 14560 14756 14875 15080 15190 15232 15283 15470 15500 15680 15776 15925 16000 16120 16240 16250 16562 16660 16820 16864 16900 17000 17255 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- Sum of all divisors σ(n): 151166025430156800
- Sum of proper divisors (its aliquot sum) s(n): 108591738292956800
- 42574287137200000 is an abundant number, because the sum of its proper divisors (108591738292956800) is greater than itself. Its abundance is 66017451155756800
Bases of 42574287137200000
- Binary: 100101110100000100010110101011010110000011010111100000002
- Hexadecimal: 0x974116AD60D780
- Base-36: BN7BPI5YWSG
Squares and roots of 42574287137200000
- 42574287137200000 squared (425742871372000002) is 1812569925240753371623840000000000
- 42574287137200000 cubed (425742871372000003) is 77168872453452971882762382788870848000000000000000
-
The
square root of 42574287137200000 is 206335375.3896796049 -
The
cube root of 42574287137200000 is 349179.8131897169
Scales and comparisons
How big is 42574287137200000?- 42,574,287,137,200,000 seconds is equal to 1,353,730,640 years, 2 weeks, 2 days, 20 hours, 26 minutes, 40 seconds.
-
To count from 1 to 42,574,287,137,200,000 would take you about four billion, sixty-one million, one hundred ninety-one thousand, nine hundred twenty 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 42574287137200000 cubic inches would be around 29098.3 feet tall.
Recreational maths with 42574287137200000
- 42574287137200000 backwards is 00000273178247524
- 42574287137200000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42574287137200000's digits is 52
- More coming soon!
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"Number 42574287137200000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 42574287137200000 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/42574287137200000/
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Numbermatics. 2024. "Number 42574287137200000 - Facts about the integer". https://numbermatics.com/n/42574287137200000/
The information we have on file for 42574287137200000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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