230740735104000
230,740,735,104,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 230740735104000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 4224 divisors.
230740735104000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand, two hundred twenty-four divisors.
Prime factorization of 230740735104000:
210 × 33 × 53 × 112 × 19 × 113 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 19 × 113 × 257)See below for interesting mathematical facts about the number 230740735104000 from the Numbermatics database.
Names of 230740735104000
- Cardinal: 230740735104000 can be written as Two hundred thirty trillion, seven hundred forty billion, seven hundred thirty-five million, one hundred four thousand.
Scientific notation
- Scientific notation: 2.30740735104 × 1014
Factors of 230740735104000
Divisors of 230740735104000
- Number of divisors d(n): 4224
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 19 20 22 24 25 27 30 32 33 36 38 40 44 45 48 50 54 55 57 60 64 66 72 75 76 80 88 90 95 96 99 100 108 110 113 114 120 121 125 128 132 135 144 150 152 160 165 171 176 180 190 192 198 200 209 216 220 225 226 228 240 242 250 256 257 264 270 275 285 288 297 300 304 320 330 339 342 352 360 363 375 380 384 396 400 418 432 440 450 452 456 475 480 484 495 500 512 513 514 528 540 550 565 570 576 594 600 605 608 627 640 660 675 678 684 704 720 726 750 760 768 771 792 800 825 836 855 864 880 900 904 912 950 960 968 990 1000 1017 1024 1026 1028 1045 1056 1080 1089 1100 1125 1130 1140 1152 1188 1200 1210 1216 1243 1254 1280 1285 1320 1350 1356 1368 1375 1408 1425 1440 1452 1485 1500 1520 1536 1542 1584 1600 1650 1672 1695 1710 1728 1760 1800 1808 1815 1824 1881 1900 1920 1936 1980 2000 2034 2052 2056 2090 2112 2147 2160 2178 2200 2250 2260 2280 2299 2304 2313 2375 2376 2400 2420 2432 2475 2486 2508 2560 2565 2570 2640 2700 2712 2736 2750 2816 2825 2827 2850 2880 2904 2970 3000 3025 3040 3051 3072 3084 3135 3168 3200 3267 3300 3344 3375 3390 3420 3456 3520 3600 3616 3630 3648 3729 3762 3800 3840 3855 3872 3960 4000 4068 4104 4112 4125 4180 4224 4275 4294 4320 4356 4400 4500 4520 4560 4598 4608 4626 4750 4752 4800 4840 4864 4883 4950 4972 5016 5085 5120 5130 5140 5225 5280 5400 5424 5445 5472 5500 5632 5643 5650 5654 5700 5760 5808 5940 6000 6050 6080 6102 6168 6215 6270 6336 6400 6425 6441 6534 6600 6688 6750 6780 6840 6897 6912 6939 7040 7125 7200 7232 7260 7296 7425 7458 7524 7600 7680 7710 7744 7920 8000 8136 8208 8224 8250 8360 8448 8475 8481 8550 8588 8640 8712 8800 9000 9040 9075 9120 9196 9216 9252 9405 9500 9504 9600 9680 9728 9766 9900 9944 10032 10170 10260 10280 10450 10560 10735 10800 10848 10890 10944 11000 11187 11264 11286 11300 11308 11400 11495 11520 11565 11616 11880 12000 12100 12160 12204 12336 12375 12430 12540 12672 12800 12825 12850 12882 13068 13200 13376 13500 13560 13673 13680 13794 13824 13878 14080 14125 14135 14250 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2041953408000 2097643046400 2136488288000 2307407351040 2330714496000 2403549324000 2428849843200 2563785945600 2622053808000 2884259188800 3036062304000 3076543134720 3204732432000 3496071744000 3605323986000 3845678918400 4048083072000 4195286092800 4272976576000 4614814702080 4807098648000 5127571891200 5244107616000 5768518377600 6072124608000 6409464864000 6992143488000 7210647972000 7691357836800 8545953152000 9229629404160 9614197296000 10488215232000 11537036755200 12144249216000 12818929728000 14421295944000 15382715673600 19228394592000 20976430464000 23074073510400 25637859456000 28842591888000 38456789184000 46148147020800 57685183776000 76913578368000 115370367552000 230740735104000
- Sum of all divisors σ(n): 999329312217600
- Sum of proper divisors (its aliquot sum) s(n): 768588577113600
- 230740735104000 is an abundant number, because the sum of its proper divisors (768588577113600) is greater than itself. Its abundance is 537847842009600
Bases of 230740735104000
- Binary: 1101000111011011100000111000110100010100000000002
- Hexadecimal: 0xD1DB838D1400
- Base-36: 29SGTW4QO0
Squares and roots of 230740735104000
- 230740735104000 squared (2307407351040002) is 53241286836334297890816000000
- 230740735104000 cubed (2307407351040003) is 12284933662498694432014600570404864000000000
-
The
square root of 230740735104000 is 15190152.5701356931 -
The
cube root of 230740735104000 is 61334.9605999679
Scales and comparisons
How big is 230740735104000?- 230,740,735,104,000 seconds is equal to 7,336,841 years, 33 weeks, 5 days.
-
To count from 1 to 230,740,735,104,000 would take you about eighteen million, three hundred forty-two thousand, one hundred four 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 230740735104000 cubic inches would be around 5111.2 feet tall.
Recreational maths with 230740735104000
- 230740735104000 backwards is 000401537047032
- 230740735104000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 230740735104000's digits is 36
- More coming soon!
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"Number 230740735104000 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 230740735104000 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/230740735104000/
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Numbermatics. 2024. "Number 230740735104000 - Facts about the integer". https://numbermatics.com/n/230740735104000/
The information we have on file for 230740735104000 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!
Keywords: Divisors of 230740735104000, math, Factors of 230740735104000, curriculum, school, college, exams, university, Prime factorization of 230740735104000, STEM, science, technology, engineering, physics, economics, calculator, two hundred thirty trillion, seven hundred forty billion, seven hundred thirty-five million, one hundred four thousand.