31145040339840
31,145,040,339,840 is an even composite number composed of eight prime numbers multiplied together.
What does the number 31145040339840 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3072 divisors.
31145040339840 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 31145040339840:
27 × 32 × 5 × 73 × 31 × 41 × 79 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 7 × 31 × 41 × 79 × 157)See below for interesting mathematical facts about the number 31145040339840 from the Numbermatics database.
Names of 31145040339840
- Cardinal: 31145040339840 can be written as Thirty-one trillion, one hundred forty-five billion, forty million, three hundred thirty-nine thousand, eight hundred forty.
Scientific notation
- Scientific notation: 3.114504033984 × 1013
Factors of 31145040339840
Divisors of 31145040339840
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 31 32 35 36 40 41 42 45 48 49 56 60 62 63 64 70 72 79 80 82 84 90 93 96 98 105 112 120 123 124 126 128 140 144 147 155 157 158 160 164 168 180 186 192 196 205 210 217 224 237 240 245 246 248 252 279 280 287 288 294 310 314 315 316 320 328 336 343 360 369 372 384 392 395 410 420 434 441 448 465 471 474 480 490 492 496 504 553 558 560 574 576 588 615 620 628 630 632 640 651 656 672 686 711 720 735 738 744 784 785 790 820 840 861 868 882 896 930 942 948 960 980 984 992 1008 1029 1085 1099 1106 1116 1120 1148 1152 1176 1185 1230 1240 1256 1260 1264 1271 1302 1312 1344 1372 1395 1413 1422 1435 1440 1470 1476 1488 1519 1568 1570 1580 1640 1659 1680 1715 1722 1736 1764 1845 1860 1884 1896 1920 1953 1960 1968 1984 2009 2016 2058 2170 2198 2205 2212 2232 2240 2296 2352 2355 2370 2449 2460 2480 2512 2520 2528 2542 2583 2604 2624 2688 2744 2765 2790 2826 2844 2870 2880 2940 2952 2976 3038 3087 3136 3140 3160 3239 3255 3280 3297 3318 3360 3430 3444 3472 3528 3555 3690 3720 3768 3792 3813 3871 3906 3920 3936 3968 4018 4032 4116 4305 4340 4396 4410 4424 4464 4480 4557 4592 4704 4710 4740 4867 4898 4920 4960 4977 5024 5040 5056 5084 5145 5166 5208 5248 5488 5495 5530 5580 5652 5688 5740 5760 5880 5904 5952 6027 6076 6174 6272 6280 6320 6355 6437 6478 6510 6560 6594 6636 6720 6860 6888 6944 7056 7065 7110 7347 7380 7440 7536 7584 7595 7626 7693 7742 7812 7840 7872 8036 8064 8232 8295 8610 8680 8792 8820 8848 8897 8928 9114 9184 9408 9420 9480 9717 9734 9765 9796 9840 9891 9920 9954 10045 10048 10080 10112 10168 10290 10332 10416 10633 10976 10990 11060 11160 11304 11376 11439 11480 11613 11760 11808 11904 12054 12152 12245 12348 12403 12560 12640 12710 12874 12915 12956 13020 13120 13188 13272 13440 13671 13720 13776 13888 14063 14112 14130 14220 14601 14694 14760 14880 15072 15168 15190 15252 15386 15435 15484 15624 15680 15744 16072 16195 16464 16485 16590 17143 17220 17360 17584 17640 17696 17794 17856 18081 18228 18368 18816 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759635130240 778626008496 865140009440 889858295424 973282510620 1004678720640 1038168011328 1112322869280 1297710014160 1483097159040 1557252016992 1730280018880 1946565021240 2076336022656 2224645738560 2595420028320 3114504033984 3460560037760 3893130042480 4449291477120 5190840056640 6229008067968 7786260084960 10381680113280 15572520169920 31145040339840
- Sum of all divisors σ(n): 135157800960000
- Sum of proper divisors (its aliquot sum) s(n): 104012760620160
- 31145040339840 is an abundant number, because the sum of its proper divisors (104012760620160) is greater than itself. Its abundance is 72867720280320
Bases of 31145040339840
- Binary: 1110001010011100001010001000011100011100000002
- Hexadecimal: 0x1C538510E380
- Base-36: B1FU0VKW0
Squares and roots of 31145040339840
- 31145040339840 squared (311450403398402) is 970013537770260902691225600
- 31145040339840 cubed (311450403398403) is 30211110764045687300599794131610107904000
-
The
square root of 31145040339840 is 5580774.1702957303 -
The
cube root of 31145040339840 is 31462.7224567067
Scales and comparisons
How big is 31145040339840?- 31,145,040,339,840 seconds is equal to 990,315 years, 49 weeks, 22 hours, 24 minutes.
-
To count from 1 to 31,145,040,339,840 would take you about two million, four hundred seventy-five thousand, seven hundred eighty-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 31145040339840 cubic inches would be around 2621.9 feet tall.
Recreational maths with 31145040339840
- 31145040339840 backwards is 04893304054113
- 31145040339840 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 31145040339840's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 31145040339840 - Facts about the integer". Numbermatics.com. 2024. Web. 27 June 2024.
APA style:
Numbermatics. (2024). Number 31145040339840 - Facts about the integer. Retrieved 27 June 2024, from https://numbermatics.com/n/31145040339840/
Chicago style:
Numbermatics. 2024. "Number 31145040339840 - Facts about the integer". https://numbermatics.com/n/31145040339840/
The information we have on file for 31145040339840 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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