31414142183997440
31,414,142,183,997,440 is an even composite number composed of six prime numbers multiplied together.
What does the number 31414142183997440 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1836 divisors.
31414142183997440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred thirty-six divisors.
Prime factorization of 31414142183997440:
216 × 5 × 72 × 312 × 73 × 1672
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 31 × 31 × 73 × 167 × 167)See below for interesting mathematical facts about the number 31414142183997440 from the Numbermatics database.
Names of 31414142183997440
- Cardinal: 31414142183997440 can be written as Thirty-one quadrillion, four hundred fourteen trillion, one hundred forty-two billion, one hundred eighty-three million, nine hundred ninety-seven thousand, four hundred forty.
Scientific notation
- Scientific notation: 3.141414218399744 × 1016
Factors of 31414142183997440
Divisors of 31414142183997440
- Number of divisors d(n): 1836
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 49 56 62 64 70 73 80 98 112 124 128 140 146 155 160 167 196 217 224 245 248 256 280 292 310 320 334 365 392 434 448 490 496 511 512 560 584 620 640 668 730 784 835 868 896 961 980 992 1022 1024 1085 1120 1168 1169 1240 1280 1336 1460 1519 1568 1670 1736 1792 1922 1960 1984 2044 2048 2170 2240 2263 2336 2338 2480 2555 2560 2672 2920 3038 3136 3340 3472 3577 3584 3844 3920 3968 4088 4096 4340 4480 4526 4672 4676 4805 4960 5110 5120 5177 5344 5840 5845 6076 6272 6680 6727 6944 7154 7168 7595 7688 7840 7936 8176 8183 8192 8680 8960 9052 9344 9352 9610 9920 10220 10240 10354 10688 11315 11680 11690 12152 12191 12544 13360 13454 13888 14308 14336 15190 15376 15680 15841 15872 16352 16366 16384 17360 17885 17920 18104 18688 18704 19220 19840 20440 20480 20708 21376 22630 23360 23380 24304 24382 25088 25885 26720 26908 27776 27889 28616 28672 30380 30752 31360 31682 31744 32704 32732 32768 33635 34720 35770 35840 36208 36239 37376 37408 38440 39680 40880 40915 40960 41416 42752 45260 46720 46760 47089 48608 48764 50176 51770 53440 53816 55552 55778 57232 57344 60760 60955 61504 62720 63364 63488 65408 65464 65536 67270 69440 70153 71540 71680 72416 72478 74752 74816 76880 79205 79360 81760 81830 81920 82832 85337 85504 90520 93440 93520 94178 97216 97528 100352 103540 106880 107632 110887 111104 111556 114464 114688 121520 121910 123008 125440 126728 126976 130816 130928 134540 138880 139445 140306 143080 143360 144832 144956 149504 149632 153760 158410 158720 160487 163520 163660 163840 165664 170674 171008 181040 181195 186880 187040 188356 194432 195056 195223 200704 207080 213760 215264 221774 222208 223112 228928 229376 235445 243040 243820 246016 250880 253456 253673 253952 261632 261856 269080 277760 278890 280612 286160 286720 289664 289912 299008 299264 307520 316820 317440 320974 327040 327320 327680 331328 341348 342016 350765 362080 362390 373760 374080 376712 377921 388864 390112 390446 401408 414160 426685 427520 430528 443548 444416 446224 457856 458752 470890 486080 487640 491071 492032 501760 506912 507346 507904 523264 523712 538160 554435 555520 557780 561224 572320 573440 579328 579824 597359 598016 598528 615040 633640 634880 641948 654080 654640 662656 682696 684032 701530 724160 724780 747520 748160 753424 755842 777728 780224 780892 802435 802816 828320 853370 855040 861056 864559 887096 888832 892448 915712 941780 972160 975280 976115 982142 984064 1003520 1013824 1014692 1015808 1046528 1047424 1076320 1108870 1111040 1115560 1122448 1123409 1144640 1146880 1158656 1159648 1194718 1196032 1197056 1230080 1267280 1268365 1269760 1283896 1308160 1309280 1325312 1365392 1366561 1368064 1403060 1448320 1449560 1495040 1496320 1506848 1511684 1555456 1560448 1561784 1604870 1605632 1656640 1706740 1710080 1722112 1729118 1774192 1777664 1784896 1831424 1883560 1889605 1944320 1950560 1952230 1964284 1968128 2007040 2027648 2029384 2031616 2035897 2093056 2094848 2152640 2217740 2222080 2231120 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26242834240 26265302420 26294190080 27089377280 27112570240 27390958238 27444560896 27963228160 27987169280 28159975424 28274537536 28329869312 29186619392 29991810560 30017488480 30925275430 30959288320 30985794560 31303952272 31922864960 31985336320 32182829056 32210382848 32313757184 33356136448 34305701120 35199969280 35343171920 35412336640 36335452160 36483274240 36739967936 36811866112 37925128192 39129940340 39148519424 40228536320 40262978560 40392196480 41561784320 41695170560 41988534784 42024483872 43343003648 43380112384 44779470848 45924959920 46014832640 47406410240 47986896896 48027981568 48935649280 49480440688 49577271296 51076583936 52485668480 52530604840 52588380160 54178754560 54225140480 54781916476 54889121792 55974338560 56319950848 56549075072 56659738624 58373238784 59983621120 60034976960 61850550860 61918576640 61971589120 62607904544 63845729920 63970672640 64420765696 64627514368 66712272896 68477395595 68611402240 70399938560 70686343840 70824673280 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35060426544640 36191408046080 37621727166464 40069058908160 43033071484928 47027158958080 49084597162496 50667971264512 53791339356160 56096682471424 61355746453120 61475816407040 63334964080640 64110494253056 70120853089280 72382816092160 80138117816320 86066142969856 94054317916160 98169194324992 101335942529024 107582678712320 112193364942848 122711492906240 126669928161280 128220988506112 140241706178560 144765632184320 160276235632640 188108635832320 196338388649984 202671885058048 215165357424640 224386729885696 245422985812480 253339856322560 280483412357120 320552471265280 392676777299968 430330714849280 448773459771392 490845971624960 506679712645120 560966824714240 641104942530560 785353554599936 897546919542784 981691943249920 1013359425290240 1121933649428480 1570707109199872 1963383886499840 2243867298856960 3141414218399744 3926767772999680 4487734597713920 6282828436799488 7853535545999360 15707071091998720 31414142183997440
- Sum of all divisors σ(n): 92417649626545668
- Sum of proper divisors (its aliquot sum) s(n): 61003507442548228
- 31414142183997440 is an abundant number, because the sum of its proper divisors (61003507442548228) is greater than itself. Its abundance is 29589365258550788
Bases of 31414142183997440
- Binary: 11011111001101011111110111100011100110100000000000000002
- Hexadecimal: 0x6F9AFEF1CD0000
- Base-36: 8LBDTOV8IRK
Squares and roots of 31414142183997440
- 31414142183997440 squared (314141421839974402) is 986848329156407449448017926553600
- 31414142183997440 cubed (314141421839974403) is 31000993726159690059874187058665072571170422784000
-
The
square root of 31414142183997440 is 177240351.4552976733 -
The
cube root of 31414142183997440 is 315530.7828979647
Scales and comparisons
How big is 31414142183997440?- 31,414,142,183,997,440 seconds is equal to 998,872,551 years, 6 weeks, 5 days, 1 hour, 57 minutes, 20 seconds.
-
To count from 1 to 31,414,142,183,997,440 would take you about two billion, nine hundred ninety-six million, six hundred seventeen thousand, six hundred fifty-three 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 31414142183997440 cubic inches would be around 26294.2 feet tall.
Recreational maths with 31414142183997440
- 31414142183997440 backwards is 04479938124141413
- The number of decimal digits it has is: 17
- The sum of 31414142183997440's digits is 65
- More coming soon!
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"Number 31414142183997440 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
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Numbermatics. (2024). Number 31414142183997440 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/31414142183997440/
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Numbermatics. 2024. "Number 31414142183997440 - Facts about the integer". https://numbermatics.com/n/31414142183997440/
The information we have on file for 31414142183997440 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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