31138688973168
31,138,688,973,168 is an even composite number composed of five prime numbers multiplied together.
What does the number 31138688973168 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1320 divisors.
31138688973168 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred twenty divisors.
Prime factorization of 31138688973168:
24 × 310 × 75 × 37 × 53
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 7 × 7 × 37 × 53)See below for interesting mathematical facts about the number 31138688973168 from the Numbermatics database.
Names of 31138688973168
- Cardinal: 31138688973168 can be written as Thirty-one trillion, one hundred thirty-eight billion, six hundred eighty-eight million, nine hundred seventy-three thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 3.1138688973168 × 1013
Factors of 31138688973168
Divisors of 31138688973168
- Number of divisors d(n): 1320
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 37 42 48 49 53 54 56 63 72 74 81 84 98 106 108 111 112 126 144 147 148 159 162 168 189 196 212 216 222 243 252 259 294 296 318 324 333 336 343 371 378 392 424 432 441 444 477 486 504 518 567 588 592 636 648 666 686 729 742 756 777 784 848 882 888 954 972 999 1008 1029 1036 1113 1134 1176 1272 1296 1323 1332 1372 1431 1458 1484 1512 1554 1701 1764 1776 1813 1908 1944 1961 1998 2058 2072 2187 2226 2268 2331 2352 2401 2544 2597 2646 2664 2744 2862 2916 2968 2997 3024 3087 3108 3339 3402 3528 3626 3816 3888 3922 3969 3996 4116 4144 4293 4374 4452 4536 4662 4802 5103 5194 5292 5328 5439 5488 5724 5832 5883 5936 5994 6174 6216 6561 6678 6804 6993 7056 7203 7252 7632 7791 7844 7938 7992 8232 8586 8748 8904 8991 9072 9261 9324 9604 10017 10206 10388 10584 10878 11448 11664 11766 11907 11988 12348 12432 12691 12879 13122 13356 13608 13727 13986 14406 14504 15309 15582 15688 15876 15984 16317 16464 16807 17172 17496 17649 17808 17982 18179 18522 18648 19208 19683 20034 20412 20776 20979 21168 21609 21756 22896 23373 23532 23814 23976 24696 25382 25758 26244 26712 26973 27216 27454 27783 27972 28812 29008 30051 30618 31164 31376 31752 32634 33614 34344 34992 35298 35721 35964 36358 37044 37296 38073 38416 38637 39366 40068 40824 41181 41552 41958 43218 43512 45927 46746 47064 47628 47952 48951 49392 50421 50764 51516 52488 52947 53424 53946 54537 54908 55566 55944 57624 59049 60102 61236 62328 62937 63504 64827 65268 67228 68688 70119 70596 71442 71928 72716 74088 76146 77274 78732 80136 80919 81648 82362 83349 83916 86436 87024 88837 90153 91854 93492 94128 95256 96089 97902 100842 101528 103032 104976 105894 107163 107892 109074 109816 111132 111888 114219 115248 115911 118098 120204 122472 123543 124656 125874 127253 129654 130536 134456 137781 140238 141192 142884 143856 145432 146853 148176 151263 152292 154548 157464 158841 160272 161838 163611 164724 166698 167832 172872 177674 180306 183708 186984 188811 190512 192178 194481 195804 201684 203056 206064 210357 211788 214326 215784 218148 219632 222264 228438 231822 236196 240408 242757 244944 247086 250047 251748 254506 259308 261072 266511 268912 270459 275562 280476 282384 285768 288267 290864 293706 302526 304584 309096 314928 317682 321489 323676 327222 329448 333396 335664 342657 345744 347733 355348 360612 367416 370629 373968 377622 381759 384356 388962 391608 403368 413343 420714 423576 428652 431568 436296 440559 444528 453789 456876 463644 472392 476523 480816 485514 490833 494172 500094 503496 509012 518616 533022 540918 551124 560952 566433 571536 576534 583443 587412 605052 609168 618192 621859 631071 635364 642978 647352 654444 658896 666792 672623 685314 695466 710696 721224 728271 734832 741258 750141 755244 763518 768712 777924 783216 799533 806736 811377 826686 841428 847152 857304 864801 872592 881118 890771 907578 913752 927288 944784 953046 964467 971028 981666 988344 1000188 1006992 1018024 1027971 1037232 1043199 1066044 1081836 1102248 1111887 1121904 1132866 1145277 1153068 1166886 1174824 1210104 1243718 1262142 1270728 1285956 1294704 1308888 1321677 1333584 1345246 1361367 1370628 1390932 1421392 1429569 1442448 1456542 1472499 1482516 1500282 1510488 1527036 1537424 1555848 1599066 1622754 1653372 1682856 1699299 1714608 1729602 1750329 1762236 1781542 1815156 1827504 1854576 1865577 1893213 1906092 1928934 1942056 1963332 1976688 2000376 2017869 2036048 2055942 2086398 2132088 2163672 2184813 2204496 2223774 2250423 2265732 2290554 2306136 2333772 2349648 2398599 2420208 2434131 2487436 2524284 2541456 2571912 2594403 2617776 2643354 2672313 2690492 2722734 2741256 2781864 2859138 2893401 2913084 2944998 2965032 3000564 3020976 3054072 3083913 3111696 3129597 3198132 3245508 3306744 3335661 3365712 3398598 3435831 3459204 3500658 3524472 3563084 3630312 3731154 3786426 3812184 3857868 3884112 3926664 3965031 4000752 4035738 4084101 4111884 4172796 4264176 4288707 4327344 4369626 4417497 4447548 4500846 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999187812 1017005976 1036194768 1073451771 1080754164 1113209244 1120782096 1134213192 1144131723 1154439216 1165719114 1186506972 1208893896 1226802024 1260879858 1298744118 1307579112 1323248724 1332250416 1360005633 1431269028 1441005552 1471026501 1484278992 1498781718 1525508964 1554292152 1582009296 1621131246 1669813866 1681173144 1712893392 1731658824 1748578671 1764331632 1779760458 1813340844 1852721424 1891319787 1908358704 1948116177 1961368668 1984873086 1998375624 2034011952 2146903542 2161508328 2226418488 2268426384 2288263446 2331438228 2373013944 2417787792 2453604048 2504720799 2521759716 2597488236 2615158224 2646497448 2669640687 2720011266 2862538056 2942053002 2997563436 3051017928 3108584304 3242262492 3339627732 3362346288 3432395169 3463317648 3497157342 3559520916 3626681688 3782639574 3896232354 3922737336 3969746172 3996751248 4080016899 4293807084 4323016656 4413079503 4452836976 4576526892 4662876456 4746027888 5009441598 5043519432 5194976472 5245736013 5292994896 5339281374 5440022532 5673959361 5725076112 5844348531 5884106004 5995126872 6102035856 6484524984 6679255464 6864790338 6994314684 7119041832 7253363376 7514162397 7565279148 7792464708 7845474672 7939492344 8008922061 8160033798 8587614168 8826159006 9153053784 9325752912 10018883196 10087038864 10297185507 10389952944 10491472026 10678562748 10880045064 11347918722 11688697062 11768212008 11990253744 12240050697 12969049968 13239238509 13358510928 13729580676 13988629368 14238083664 15028324794 15130558296 15584929416 15878984688 16017844122 16320067596 17175228336 17533045593 17652318012 18306107568 20037766392 20594371014 20982944052 21357125496 21760090128 22695837444 23377394124 23536424016 24026766183 24480101394 26478477018 27459161352 27977258736 30056649588 30261116592 30891556521 31169858832 32035688244 32640135192 35066091186 35304636024 36720152091 39717715527 40075532784 41188742028 41965888104 42714250992 45391674888 46754788248 48053532366 48960202788 52599136779 52956954036 54918322704 60113299176 61783113042 64071376488 65280270384 70132182372 70609272048 72080298549 73440304182 79435431054 82377484056 83931776208 90783349776 92674669563 93509576496 96107064732 97920405576 105198273558 105913908072 120226598352 123566226084 128142752976 140264364744 144160597098 146880608364 158870862108 164754968112 185349339126 192214129464 195840811152 210396547116 211827816144 216240895647 247132452168 278024008689 280528729488 288321194196 293761216728 317741724216 370698678252 384428258928 420793094232 432481791294 494264904336 556048017378 576642388392 587522433456 635483448432 648722686941 741397356504 841586188464 864963582588 1112096034756 1153284776784 1297445373882 1482794713008 1729927165176 1946168060823 2224192069512 2594890747764 3459854330352 3892336121646 4448384139024 5189781495528 7784672243292 10379562991056 15569344486584 31138688973168
- Sum of all divisors σ(n): 110477465695008
- Sum of proper divisors (its aliquot sum) s(n): 79338776721840
- 31138688973168 is an abundant number, because the sum of its proper divisors (79338776721840) is greater than itself. Its abundance is 48200087748672
Bases of 31138688973168
- Binary: 1110001010010000010100111111010111001011100002
- Hexadecimal: 0x1C520A7EB970
- Base-36: B1CWZFR00
Squares and roots of 31138688973168
- 31138688973168 squared (311386889731682) is 969617950967694394223956224
- 31138688973168 cubed (311386889731683) is 30192631797983495928417993222933142597632
-
The
square root of 31138688973168 is 5580205.1013531751 -
The
cube root of 31138688973168 is 31460.5835942537
Scales and comparisons
How big is 31138688973168?- 31,138,688,973,168 seconds is equal to 990,113 years, 51 weeks, 3 days, 17 hours, 52 minutes, 48 seconds.
-
To count from 1 to 31,138,688,973,168 would take you about two million, four hundred seventy-five thousand, two hundred eighty-four 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 31138688973168 cubic inches would be around 2621.7 feet tall.
Recreational maths with 31138688973168
- 31138688973168 backwards is 86137988683113
- 31138688973168 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 31138688973168's digits is 72
- More coming soon!
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"Number 31138688973168 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 31138688973168 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/31138688973168/
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The information we have on file for 31138688973168 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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