468388822513040000
468,388,822,513,040,000 is an even composite number composed of five prime numbers multiplied together.
468388822513040000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand, six hundred divisors.
Prime factorization of 468388822513040000:
27 × 54 × 112 × 135 × 194
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 11 × 11 × 13 × 13 × 13 × 13 × 13 × 19 × 19 × 19 × 19)See below for interesting mathematical facts about the number 468388822513040000 from the Numbermatics database.
Names of 468388822513040000
- Cardinal: 468388822513040000 can be written as Four hundred sixty-eight quadrillion, three hundred eighty-eight trillion, eight hundred twenty-two billion, five hundred thirteen million, forty thousand.
Scientific notation
- Scientific notation: 4.6838882251304 × 1017
Factors of 468388822513040000
Divisors of 468388822513040000
- Number of divisors d(n): 3600
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 19 20 22 25 26 32 38 40 44 50 52 55 64 65 76 80 88 95 100 104 110 121 125 128 130 143 152 160 169 176 190 200 208 209 220 242 247 250 260 275 286 304 320 325 338 352 361 380 400 416 418 440 475 484 494 500 520 550 572 605 608 625 640 650 676 704 715 722 760 800 832 836 845 880 950 968 988 1000 1040 1045 1100 1144 1210 1216 1235 1250 1300 1352 1375 1408 1430 1444 1520 1573 1600 1625 1664 1672 1690 1760 1805 1859 1900 1936 1976 2000 2080 2090 2197 2200 2288 2299 2375 2420 2432 2470 2500 2600 2704 2717 2750 2860 2888 3025 3040 3146 3200 3211 3250 3344 3380 3520 3575 3610 3718 3800 3872 3952 3971 4000 4160 4180 4225 4394 4400 4576 4598 4693 4750 4840 4940 5000 5200 5225 5408 5434 5500 5720 5776 6050 6080 6175 6292 6422 6500 6688 6760 6859 6875 7040 7150 7220 7436 7600 7744 7865 7904 7942 8000 8125 8320 8360 8450 8788 8800 9025 9152 9196 9295 9386 9500 9680 9880 10000 10400 10450 10816 10868 10985 11000 11440 11495 11552 11875 12100 12160 12350 12584 12844 13000 13376 13520 13585 13718 13750 14300 14440 14872 15125 15200 15488 15730 15808 15884 16000 16055 16250 16720 16900 17576 17600 17875 18050 18304 18392 18590 18772 19000 19360 19760 19855 20000 20449 20800 20900 21125 21632 21736 21970 22000 22880 22990 23104 23465 23750 24167 24200 24700 25168 25688 26000 26125 26752 27040 27170 27436 27500 28561 28600 28880 29744 29887 30250 30400 30875 31460 31616 31768 32110 32500 33440 33800 34295 35152 35200 35321 35750 36100 36784 37180 37544 38000 38720 39325 39520 39710 40000 40898 41600 41743 41800 42250 43472 43681 43940 44000 45125 45760 45980 46208 46475 46930 47500 48334 48400 49400 50336 51376 51623 52000 52250 54080 54340 54872 54925 55000 57122 57200 57475 57760 59488 59774 60500 60800 61009 61750 62920 63536 64220 65000 66880 67600 67925 68590 70304 70642 71500 72200 73568 74360 75088 75449 75625 76000 77440 78650 79040 79420 80000 80275 81796 83486 83600 84500 86944 87362 87880 88000 89167 89375 90250 91520 91960 92950 93860 95000 96668 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10645200511660000 11709720562826000 12326021645080000 14637150703532500 18014954712040000 18735552900521600 21290401023320000 23419441125652000 24652043290160000 29274301407065000 36029909424080000 42580802046640000 46838882251304000 58548602814130000 93677764502608000 117097205628260000 234194411256520000 468388822513040000
- Sum of all divisors σ(n): 1465605065516871510
- Sum of proper divisors (its aliquot sum) s(n): 997216243003831510
- 468388822513040000 is an abundant number, because the sum of its proper divisors (997216243003831510) is greater than itself. Its abundance is 528827420490791510
Bases of 468388822513040000
- Binary: 110100000000000110100100111000001101010011100111010100000002
- Hexadecimal: 0x6800D2706A73A80
- Base-36: 3K3XZAJF8RY8
Squares and roots of 468388822513040000
- 468388822513040000 squared (4683888225130400002) is 219388089055152086740970041600000000
- 468388822513040000 cubed (4683888225130400003) is 102758928705928644148300003503902265342464000000000000
-
The
square root of 468388822513040000 is 684389379.3105208615 -
The
cube root of 468388822513040000 is 776608.5619035355
Scales and comparisons
How big is 468388822513040000?- 468,388,822,513,040,000 seconds is equal to 14,893,315,734 years, 8 weeks, 2 days, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 468,388,822,513,040,000 would take you about forty-four billion, six hundred seventy-nine million, nine hundred forty-seven thousand, two hundred two 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 468388822513040000 cubic inches would be around 64717.4 feet tall.
Recreational maths with 468388822513040000
- 468388822513040000 backwards is 000040315228883864
- The number of decimal digits it has is: 18
- The sum of 468388822513040000's digits is 62
- More coming soon!
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Cite this page
MLA style:
"Number 468388822513040000 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
APA style:
Numbermatics. (2024). Number 468388822513040000 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/468388822513040000/
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Numbermatics. 2024. "Number 468388822513040000 - Facts about the integer". https://numbermatics.com/n/468388822513040000/
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