230790978734400
230,790,978,734,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 230790978734400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2520 divisors.
230790978734400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred twenty divisors.
Prime factorization of 230790978734400:
26 × 34 × 52 × 7 × 192 × 409 × 1723
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 19 × 19 × 409 × 1723)See below for interesting mathematical facts about the number 230790978734400 from the Numbermatics database.
Names of 230790978734400
- Cardinal: 230790978734400 can be written as Two hundred thirty trillion, seven hundred ninety billion, nine hundred seventy-eight million, seven hundred thirty-four thousand, four hundred.
Scientific notation
- Scientific notation: 2.307909787344 × 1014
Factors of 230790978734400
Divisors of 230790978734400
- Number of divisors d(n): 2520
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 25 27 28 30 32 35 36 38 40 42 45 48 50 54 56 57 60 63 64 70 72 75 76 80 81 84 90 95 96 100 105 108 112 114 120 126 133 135 140 144 150 152 160 162 168 171 175 180 189 190 192 200 210 216 224 225 228 240 252 266 270 280 285 288 300 304 315 320 324 336 342 350 360 361 378 380 399 400 405 409 420 432 448 450 456 475 480 504 513 525 532 540 560 567 570 576 600 608 630 648 665 672 675 684 700 720 722 756 760 798 800 810 818 840 855 864 900 912 945 950 960 1008 1026 1050 1064 1080 1083 1120 1134 1140 1197 1200 1216 1227 1260 1296 1330 1344 1350 1368 1400 1425 1440 1444 1512 1520 1539 1575 1596 1600 1620 1636 1680 1710 1723 1728 1800 1805 1824 1890 1900 1995 2016 2025 2045 2052 2100 2128 2160 2166 2240 2268 2280 2394 2400 2454 2520 2527 2565 2592 2660 2700 2736 2800 2835 2850 2863 2880 2888 3024 3040 3078 3150 3192 3240 3249 3272 3325 3360 3420 3446 3591 3600 3610 3648 3681 3780 3800 3990 4032 4050 4090 4104 4200 4256 4275 4320 4332 4536 4560 4725 4788 4800 4908 5040 5054 5130 5169 5184 5320 5400 5415 5472 5600 5670 5700 5726 5776 5985 6048 6080 6135 6156 6300 6384 6480 6498 6544 6650 6720 6840 6892 7182 7200 7220 7362 7560 7581 7600 7695 7771 7980 8100 8180 8208 8400 8512 8550 8589 8615 8640 8664 9025 9072 9120 9450 9576 9747 9816 9975 10080 10108 10225 10260 10338 10640 10773 10800 10830 10944 11043 11200 11340 11400 11452 11552 11970 12061 12096 12270 12312 12600 12635 12768 12825 12960 12996 13088 13300 13680 13784 14175 14315 14364 14400 14440 14724 15120 15162 15200 15390 15507 15542 15960 16200 16245 16360 16416 16800 17100 17178 17230 17328 17955 18050 18144 18240 18405 18900 19152 19494 19632 19950 20160 20216 20450 20520 20676 21280 21546 21600 21660 22086 22680 22743 22800 22904 23104 23313 23940 24122 24540 24624 25200 25270 25536 25650 25767 25845 25920 25992 26176 26600 27075 27360 27568 28350 28630 28728 28880 29241 29448 29925 30240 30324 30400 30675 30780 31014 31084 31920 32400 32490 32720 32737 32832 33129 33600 34200 34356 34460 34656 35910 36100 36183 36288 36810 37800 37905 38304 38475 38855 38988 39264 39900 40432 40900 41040 41352 42560 42945 43075 43092 43200 43320 44172 45360 45486 45600 45808 46521 46626 47880 48244 48735 49080 49248 50400 50540 51300 51534 51690 51984 53200 53865 54150 54397 54720 55136 55215 56700 57260 57456 57760 58482 58896 59850 60305 60480 60648 61350 61560 62028 62168 63175 63840 64800 64980 65440 65474 66258 68229 68400 68712 68920 69312 69939 71575 71820 72200 72366 73620 75600 75810 76608 76950 77301 77535 77710 77976 78528 79800 80864 81225 81800 82080 82704 85890 86150 86184 86640 88344 89775 90720 90972 91200 91616 92025 93042 93252 95760 96488 97470 98160 98211 98496 100800 101080 102600 103068 103380 103968 106400 107730 108300 108549 108794 110272 110430 113400 113715 114520 114912 115520 116565 116964 117792 119700 120610 121296 122700 123120 124056 124336 126350 127680 128835 129225 129600 129960 130880 130948 132516 136458 136800 137424 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1424635671200 1442443617090 1518361702200 1538606524896 1602715130100 1648506990960 1709562805440 1735270516800 1831674434400 1923258156120 2024482269600 2060633738700 2136953506800 2198009321280 2307909787344 2404072695150 2429378723520 2564344208160 2747511651600 2849271342400 2884887234180 3036723404400 3077213049792 3205430260200 3297013981920 3606109042725 3663348868800 3846516312240 4048964539200 4121267477400 4273907013600 4615819574688 4808145390300 5128688416320 5495023303200 5769774468360 6073446808800 6410860520400 6594027963840 7212218085450 7693032624480 8242534954800 8547814027200 9231639149376 9616290780600 10990046606400 11539548936720 12146893617600 12821721040800 14424436170900 15386065248960 16485069909600 19232581561200 23079097873440 25643442081600 28848872341800 32970139819200 38465163122400 46158195746880 57697744683600 76930326244800 115395489367200 230790978734400
- Sum of all divisors σ(n): 1026329627336640
- Sum of proper divisors (its aliquot sum) s(n): 795538648602240
- 230790978734400 is an abundant number, because the sum of its proper divisors (795538648602240) is greater than itself. Its abundance is 564747669867840
Bases of 230790978734400
- Binary: 1101000111100111001101100100111000001001010000002
- Hexadecimal: 0xD1E7364E0940
- Base-36: 29T3WTW400
Squares and roots of 230790978734400
- 230790978734400 squared (2307909787344002) is 53264475865182273025743360000
- 230790978734400 cubed (2307909787344003) is 12292960516700244015264190541512003584000000
-
The
square root of 230790978734400 is 15191806.3025566515 -
The
cube root of 230790978734400 is 61339.4121581753
Scales and comparisons
How big is 230790978734400?- 230,790,978,734,400 seconds is equal to 7,338,439 years, 12 weeks, 3 days, 12 hours.
-
To count from 1 to 230,790,978,734,400 would take you about eighteen million, three hundred forty-six thousand and ninety-eight 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 230790978734400 cubic inches would be around 5111.6 feet tall.
Recreational maths with 230790978734400
- 230790978734400 backwards is 004437879097032
- 230790978734400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 230790978734400's digits is 63
- More coming soon!
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"Number 230790978734400 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 230790978734400 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/230790978734400/
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The information we have on file for 230790978734400 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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