31146653292429312
31,146,653,292,429,312 is an even composite number composed of four prime numbers multiplied together.
What does the number 31146653292429312 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 2058 divisors.
31146653292429312 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two thousand and fifty-eight divisors.
Prime factorization of 31146653292429312:
220 × 36 × 116 × 23
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 11 × 11 × 11 × 11 × 23)See below for interesting mathematical facts about the number 31146653292429312 from the Numbermatics database.
Names of 31146653292429312
- Cardinal: 31146653292429312 can be written as Thirty-one quadrillion, one hundred forty-six trillion, six hundred fifty-three billion, two hundred ninety-two million, four hundred twenty-nine thousand, three hundred twelve.
Scientific notation
- Scientific notation: 3.1146653292429312 × 1016
Factors of 31146653292429312
Divisors of 31146653292429312
- Number of divisors d(n): 2058
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 23 24 27 32 33 36 44 46 48 54 64 66 69 72 81 88 92 96 99 108 121 128 132 138 144 162 176 184 192 198 207 216 242 243 253 256 264 276 288 297 324 352 363 368 384 396 414 432 484 486 506 512 528 552 576 594 621 648 704 726 729 736 759 768 792 828 864 891 968 972 1012 1024 1056 1089 1104 1152 1188 1242 1296 1331 1408 1452 1458 1472 1518 1536 1584 1656 1728 1782 1863 1936 1944 2024 2048 2112 2178 2208 2277 2304 2376 2484 2592 2662 2673 2783 2816 2904 2916 2944 3036 3072 3168 3267 3312 3456 3564 3726 3872 3888 3993 4048 4096 4224 4356 4416 4554 4608 4752 4968 5184 5324 5346 5566 5589 5632 5808 5832 5888 6072 6144 6336 6534 6624 6831 6912 7128 7452 7744 7776 7986 8019 8096 8192 8349 8448 8712 8832 9108 9216 9504 9801 9936 10368 10648 10692 11132 11178 11264 11616 11664 11776 11979 12144 12288 12672 13068 13248 13662 13824 14256 14641 14904 15488 15552 15972 16038 16192 16384 16698 16767 16896 17424 17664 18216 18432 19008 19602 19872 20493 20736 21296 21384 22264 22356 22528 23232 23328 23552 23958 24288 24576 25047 25344 26136 26496 27324 27648 28512 29282 29403 29808 30613 30976 31104 31944 32076 32384 32768 33396 33534 33792 34848 35328 35937 36432 36864 38016 39204 39744 40986 41472 42592 42768 43923 44528 44712 45056 46464 46656 47104 47916 48576 49152 50094 50688 52272 52992 54648 55296 57024 58564 58806 59616 61226 61479 61952 62208 63888 64152 64768 65536 66792 67068 67584 69696 70656 71874 72864 73728 75141 76032 78408 79488 81972 82944 85184 85536 87846 88209 89056 89424 90112 91839 92928 93312 94208 95832 97152 98304 100188 101376 104544 105984 107811 109296 110592 114048 117128 117612 119232 122452 122958 123904 124416 127776 128304 129536 131072 131769 133584 134136 135168 139392 141312 143748 145728 147456 150282 152064 156816 158976 161051 163944 165888 170368 171072 175692 176418 178112 178848 180224 183678 184437 185856 186624 188416 191664 194304 196608 200376 202752 209088 211968 215622 218592 221184 225423 228096 234256 235224 238464 244904 245916 247808 248832 255552 256608 259072 262144 263538 267168 268272 270336 275517 278784 282624 287496 291456 294912 300564 304128 313632 317952 322102 323433 327888 331776 336743 340736 342144 351384 352836 356224 357696 360448 367356 368874 371712 373248 376832 383328 388608 393216 395307 400752 405504 418176 423936 431244 437184 442368 450846 456192 468512 470448 476928 483153 489808 491832 495616 497664 511104 513216 518144 524288 527076 534336 536544 540672 551034 557568 565248 574992 582912 589824 601128 608256 627264 635904 644204 646866 655776 663552 673486 676269 681472 684288 702768 705672 712448 715392 720896 734712 737748 743424 746496 753664 766656 777216 786432 790614 801504 811008 826551 836352 847872 862488 874368 884736 901692 912384 937024 940896 953856 966306 970299 979616 983664 991232 995328 1010229 1022208 1026432 1036288 1048576 1054152 1068672 1073088 1081344 1102068 1115136 1130496 1149984 1165824 1179648 1185921 1202256 1216512 1254528 1271808 1288408 1293732 1311552 1327104 1346972 1352538 1362944 1368576 1405536 1411344 1424896 1430784 1441792 1449459 1469424 1475496 1486848 1492992 1507328 1533312 1554432 1572864 1581228 1603008 1622016 1653102 1672704 1695744 1724976 1748736 1769472 1771561 1803384 1824768 1874048 1881792 1907712 1932612 1940598 1959232 1967328 1982464 1990656 2020458 2028807 2044416 2052864 2072576 2108304 2137344 2146176 2162688 2204136 2230272 2260992 2299968 2331648 2359296 2371842 2404512 2433024 2479653 2509056 2543616 2576816 2587464 2623104 2654208 2693944 2705076 2725888 2737152 2811072 2822688 2849792 2861568 2883584 2898918 2938848 2950992 2973696 2985984 3014656 3030687 3066624 3108864 3145728 3162456 3206016 3244032 3306204 3345408 3391488 3449952 3497472 3538944 3543122 3557763 3606768 3649536 3704173 3748096 3763584 3815424 3865224 3881196 3918464 3934656 3964928 3981312 4040916 4057614 4088832 4105728 4145152 4216608 4274688 4292352 4325376 4348377 4408272 4460544 4521984 4599936 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487519617024 500685656064 502754605056 506622640128 508716122112 522454597632 529650941952 531839582208 546202533888 563271363072 569950470144 587761422336 595857309696 614477850624 621764149248 633680283456 641194278912 650026156032 661231600128 667580874752 670339473408 691287581952 696606130176 699484667904 709119442944 728270045184 731279425536 751028484096 759933960192 783681896448 794476412928 819303800832 844907044608 854925705216 866701541376 881642133504 893785964544 921716775936 928808173568 932646223872 950520425184 961791418368 971026726912 975039234048 1001371312128 1005509210112 1017432244224 1044909195264 1059301883904 1063679164416 1092405067776 1126542726144 1139900940288 1175522844672 1191714619392 1228955701248 1243528298496 1267360566912 1282388557824 1300052312064 1322463200256 1335161749504 1340678946816 1382575163904 1393212260352 1398969335808 1456540090368 1462558851072 1502056968192 1519867920384 1567363792896 1588952825856 1638607601664 1689814089216 1709851410432 1763284267008 1787571929088 1843433551872 1857616347136 1865292447744 1901040850368 1923582836736 1942053453824 1950078468096 2002742624256 2011018420224 2089818390528 2127358328832 2184810135552 2253085452288 2279801880576 2351045689344 2383429238784 2457911402496 2534721133824 2564777115648 2600104624128 2644926400512 2670323499008 2681357893632 2765150327808 2786424520704 2797938671616 2913080180736 2925117702144 3004113936384 3134727585792 3177905651712 3277215203328 3379628178432 3419702820864 3526568534016 3575143858176 3686867103744 3730584895488 3802081700736 3847165673472 3884106907648 3900156936192 4005485248512 4022036840448 4179636781056 4369620271104 4506170904576 4559603761152 4702091378688 4766858477568 4915822804992 5069442267648 5129554231296 5289852801024 5340646998016 5362715787264 5530300655616 5572849041408 5595877343232 5826160361472 5850235404288 6008227872768 6269455171584 6554430406656 6759256356864 6839405641728 7053137068032 7150287716352 7373734207488 7604163401472 7694331346944 7800313872384 8010970497024 8044073680896 8359273562112 8739240542208 9012341809152 9404182757376 9533716955136 9831645609984 10138884535296 10259108462592 10579705602048 10681293996032 10725431574528 11060601311232 11191754686464 11652320722944 11700470808576 12016455745536 12538910343168 13108860813312 13518512713728 13678811283456 14106274136064 14300575432704 14747468414976 15208326802944 15388662693888 16021940994048 16088147361792 16718547124224 17478481084416 18024683618304 18808365514752 19663291219968 20277769070592 20518216925184 21159411204096 21362587992064 21450863149056 22121202622464 23400941617152 24032911491072 25077820686336 26217721626624 27037025427456 28212548272128 28601150865408 29494936829952 30416653605888 30777325387776 32043881988096 32176294723584 34956962168832 36049367236608 37616731029504 39326582439936 40555538141184 41036433850368 42318822408192 42725175984128 42901726298112 44242405244928 48065822982144 50155641372672 52435443253248 54074050854912 56425096544256 58989873659904 60833307211776 61554650775552 64087763976192 64352589447168 72098734473216 75233462059008 78653164879872 81111076282368 84637644816384 85803452596224 88484810489856 96131645964288 104870886506496 108148101709824 112850193088512 117979747319808 121666614423552 123109301551104 128175527952384 128705178894336 144197468946432 150466924118016 157306329759744 162222152564736 169275289632768 176969620979712 192263291928576 216296203419648 225700386177024 235959494639616 243333228847104 257410357788672 288394937892864 314612659519488 324444305129472 338550579265536 353939241959424 384526583857152 432592406839296 451400772354048 471918989279232 486666457694208 576789875785728 648888610258944 677101158531072 707878483918848 865184813678592 943837978558464 973332915388416 1153579751571456 1297777220517888 1354202317062144 1415756967837696 1730369627357184 1946665830776832 2595554441035776 2831513935675392 3460739254714368 3893331661553664 5191108882071552 7786663323107328 10382217764143104 15573326646214656 31146653292429312
- Sum of all divisors σ(n): 107203725819763944
- Sum of proper divisors (its aliquot sum) s(n): 76057072527334632
- 31146653292429312 is an abundant number, because the sum of its proper divisors (76057072527334632) is greater than itself. Its abundance is 44910419234905320
Bases of 31146653292429312
- Binary: 11011101010011110110111010101010111000000000000000000002
- Hexadecimal: 0x6EA7B755700000
- Base-36: 8IOKEZNK000
Squares and roots of 31146653292429312
- 31146653292429312 squared (311466532924293122) is 970114011318797701300374516793344
- 31146653292429312 cubed (311466532924293123) is 30215804764674437271116638303054983565842032099328
-
The
square root of 31146653292429312 is 176484144.5921681431 -
The
cube root of 31146653292429312 is 314632.6558227961
Scales and comparisons
How big is 31146653292429312?- 31,146,653,292,429,312 seconds is equal to 990,367,231 years, 40 weeks, 2 days, 1 hour, 55 minutes, 12 seconds.
-
To count from 1 to 31,146,653,292,429,312 would take you about two billion, nine hundred seventy-one million, one hundred one thousand, six hundred ninety-five 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 31146653292429312 cubic inches would be around 26219.4 feet tall.
Recreational maths with 31146653292429312
- 31146653292429312 backwards is 21392429235664113
- The number of decimal digits it has is: 17
- The sum of 31146653292429312's digits is 63
- More coming soon!
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The information we have on file for 31146653292429312 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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