385506672720000
385,506,672,720,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 385506672720000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3840 divisors.
385506672720000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 385506672720000:
27 × 3 × 54 × 13 × 192 × 31 × 61 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 13 × 19 × 19 × 31 × 61 × 181)See below for interesting mathematical facts about the number 385506672720000 from the Numbermatics database.
Names of 385506672720000
- Cardinal: 385506672720000 can be written as Three hundred eighty-five trillion, five hundred six billion, six hundred seventy-two million, seven hundred twenty thousand.
Scientific notation
- Scientific notation: 3.8550667272 × 1014
Factors of 385506672720000
Divisors of 385506672720000
- Number of divisors d(n): 3840
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 25 26 30 31 32 38 39 40 48 50 52 57 60 61 62 64 65 75 76 78 80 93 95 96 100 104 114 120 122 124 125 128 130 150 152 155 156 160 181 183 186 190 192 195 200 208 228 240 244 247 248 250 260 285 300 304 305 310 312 320 325 361 362 366 372 375 380 384 390 400 403 416 456 465 475 480 488 494 496 500 520 543 570 589 600 608 610 620 624 625 640 650 722 724 732 741 744 750 760 775 780 793 800 806 832 905 912 915 930 950 960 975 976 988 992 1000 1040 1083 1086 1140 1159 1178 1200 1209 1216 1220 1235 1240 1248 1250 1300 1425 1444 1448 1464 1482 1488 1500 1520 1525 1550 1560 1586 1600 1612 1625 1664 1767 1805 1810 1824 1830 1860 1875 1891 1900 1920 1950 1952 1976 1984 2000 2015 2080 2166 2172 2280 2318 2325 2353 2356 2375 2379 2400 2418 2432 2440 2470 2480 2496 2500 2600 2715 2850 2888 2896 2928 2945 2964 2976 3000 3040 3050 3100 3120 3172 3200 3224 3250 3439 3477 3534 3610 3620 3648 3660 3705 3720 3750 3782 3800 3875 3900 3904 3952 3965 3968 4000 4030 4160 4332 4344 4525 4560 4575 4636 4650 4693 4706 4712 4750 4758 4800 4836 4875 4880 4940 4960 4992 5000 5200 5415 5430 5611 5673 5700 5776 5792 5795 5856 5890 5928 5952 6000 6045 6080 6100 6175 6200 6240 6344 6448 6500 6878 6954 7059 7068 7125 7220 7240 7296 7320 7410 7440 7500 7564 7600 7625 7657 7750 7800 7808 7904 7930 8000 8060 8125 8320 8664 8688 8835 9025 9050 9120 9150 9272 9300 9386 9412 9424 9455 9500 9516 9600 9672 9750 9760 9880 9920 10000 10075 10317 10400 10830 10860 11041 11191 11222 11346 11400 11552 11584 11590 11625 11712 11765 11780 11856 11875 11895 11904 12000 12090 12160 12200 12350 12400 12480 12688 12896 13000 13575 13756 13908 14079 14118 14136 14250 14440 14480 14640 14725 14820 14880 15000 15067 15128 15200 15250 15314 15500 15600 15808 15860 16000 16120 16250 16833 17195 17328 17376 17385 17670 18050 18100 18240 18300 18525 18544 18600 18772 18824 18848 18910 19000 19032 19344 19375 19500 19520 19760 19825 19840 20000 20150 20634 20800 21660 21720 22021 22082 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2028982488000 2072616520000 2106593840000 2129871120000 2409416704500 2471196620000 2487139824000 2536228110000 2570044484800 2965435944000 3011770880625 3084053381760 3108924780000 3159890760000 3212555606000 3381637480000 3706794930000 3855066727200 4015694507500 4057964976000 4145233040000 4818833409000 4942393240000 5072456220000 5140088969600 5930871888000 6023541761250 6217849560000 6319781520000 6425111212000 6763274960000 7413589860000 7710133454400 8031389015000 9637666818000 9884786480000 10144912440000 12047083522500 12435699120000 12850222424000 14827179720000 15420266908800 16062778030000 19275333636000 20289824880000 24094167045000 25700444848000 29654359440000 32125556060000 38550667272000 48188334090000 64251112120000 77101334544000 96376668180000 128502224240000 192753336360000 385506672720000
- Sum of all divisors σ(n): 1534324686935040
- Sum of proper divisors (its aliquot sum) s(n): 1148818014215040
- 385506672720000 is an abundant number, because the sum of its proper divisors (1148818014215040) is greater than itself. Its abundance is 763311341495040
Bases of 385506672720000
- Binary: 10101111010011101110001000100100100111000100000002
- Hexadecimal: 0x15E9DC4493880
- Base-36: 3SNFBJG7EO
Squares and roots of 385506672720000
- 385506672720000 squared (3855066727200002) is 148615394711645192198400000000
- 385506672720000 cubed (3855066727200003) is 57292226330255821881590086107648000000000000
-
The
square root of 385506672720000 is 19634323.8416809251 -
The
cube root of 385506672720000 is 72779.7623626345
Scales and comparisons
How big is 385506672720000?- 385,506,672,720,000 seconds is equal to 12,257,919 years, 38 weeks, 4 days, 2 hours, 40 minutes.
-
To count from 1 to 385,506,672,720,000 would take you about thirty million, six hundred forty-four thousand, seven hundred ninety-nine 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 385506672720000 cubic inches would be around 6065 feet tall.
Recreational maths with 385506672720000
- 385506672720000 backwards is 000027276605583
- The number of decimal digits it has is: 15
- The sum of 385506672720000's digits is 51
- More coming soon!
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Cite this page
MLA style:
"Number 385506672720000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
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Numbermatics. (2024). Number 385506672720000 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/385506672720000/
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Numbermatics. 2024. "Number 385506672720000 - Facts about the integer". https://numbermatics.com/n/385506672720000/
The information we have on file for 385506672720000 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 385506672720000, math, Factors of 385506672720000, curriculum, school, college, exams, university, Prime factorization of 385506672720000, STEM, science, technology, engineering, physics, economics, calculator, three hundred eighty-five trillion, five hundred six billion, six hundred seventy-two million, seven hundred twenty thousand.