31387428007936
31,387,428,007,936 is an even composite number composed of seven prime numbers multiplied together.
What does the number 31387428007936 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1248 divisors.
31387428007936 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 31387428007936:
212 × 72 × 11 × 13 × 71 × 73 × 211
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 11 × 13 × 71 × 73 × 211)See below for interesting mathematical facts about the number 31387428007936 from the Numbermatics database.
Names of 31387428007936
- Cardinal: 31387428007936 can be written as Thirty-one trillion, three hundred eighty-seven billion, four hundred twenty-eight million, seven thousand, nine hundred thirty-six.
Scientific notation
- Scientific notation: 3.1387428007936 × 1013
Factors of 31387428007936
Divisors of 31387428007936
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 4 7 8 11 13 14 16 22 26 28 32 44 49 52 56 64 71 73 77 88 91 98 104 112 128 142 143 146 154 176 182 196 208 211 224 256 284 286 292 308 352 364 392 416 422 448 497 511 512 539 568 572 584 616 637 704 728 781 784 803 832 844 896 923 949 994 1001 1022 1024 1078 1136 1144 1168 1232 1274 1408 1456 1477 1562 1568 1606 1664 1688 1792 1846 1898 1988 2002 2044 2048 2156 2272 2288 2321 2336 2464 2548 2743 2816 2912 2954 3124 3136 3212 3328 3376 3479 3577 3584 3692 3796 3976 4004 4088 4096 4312 4544 4576 4642 4672 4928 5096 5183 5467 5486 5621 5632 5824 5908 6248 6272 6424 6461 6643 6656 6752 6958 7007 7154 7168 7384 7592 7952 8008 8176 8624 9088 9152 9284 9344 9856 10153 10192 10339 10366 10439 10934 10972 11242 11264 11648 11816 12496 12544 12848 12922 13286 13312 13504 13916 14014 14308 14336 14768 14981 15184 15403 15904 16016 16247 16352 17248 18176 18304 18568 18688 19201 19712 20306 20384 20678 20732 20878 21868 21944 22484 22528 23296 23632 24992 25088 25696 25844 26572 26624 27008 27832 28028 28616 28672 29536 29962 30173 30368 30806 31808 32032 32494 32704 34496 36281 36352 36608 37136 37376 38269 38402 39347 39424 40612 40768 41356 41464 41756 43736 43888 44968 45056 45227 46501 46592 47264 49984 50176 51392 51688 53144 53248 54016 55664 56056 57013 57232 59072 59924 60346 60736 61612 63616 64064 64988 65408 67379 68992 71071 72562 72704 73073 73216 74272 74752 76538 76804 78694 78848 81224 81536 82712 82928 83512 87472 87776 89936 90454 93002 93184 94528 99968 100352 102784 103376 104867 106288 107821 108032 111328 112112 113729 114026 114464 118144 119848 120692 121472 123224 127232 128128 129976 130816 134407 134758 137984 142142 145124 145408 146146 146432 148544 149504 153076 153608 157388 157696 162448 163072 164791 165424 165856 167024 169433 174944 175552 179872 180908 186004 186368 189056 194753 199936 200239 200704 205568 206752 209734 211211 212576 215642 216064 222656 224224 227458 228052 228928 236288 239696 241384 242944 246448 253967 254464 256256 259952 261632 268814 269516 275968 284284 290248 290816 292292 292864 297088 299008 306152 307216 314776 315392 324896 326144 329582 330848 331712 334048 338866 349888 351104 359744 361816 372008 372736 378112 389506 399091 399872 400478 411136 413504 419468 422422 425152 431284 432128 445312 448448 454916 456104 457856 471653 472576 479392 482768 485888 492896 497497 507934 508928 511511 512512 519904 523264 537628 539032 551936 568568 580496 584584 585728 594176 612304 614432 629552 649792 652288 659164 661696 663424 668096 677732 699776 702208 719488 723632 734069 741169 744016 754747 756224 779012 798182 799744 800956 822272 827008 838936 844844 850304 862568 864256 890624 896896 909832 912208 915712 943306 945152 958784 965536 971776 985792 994994 1015868 1017856 1023022 1025024 1039808 1046528 1075256 1078064 1093613 1103872 1137136 1153537 1160992 1169168 1186031 1188352 1224608 1228864 1259104 1299584 1304576 1318328 1323392 1326848 1336192 1355464 1363271 1399552 1401673 1404416 1438976 1447264 1468138 1478477 1482338 1488032 1509494 1512448 1558024 1596364 1599488 1601912 1644544 1654016 1677872 1689688 1700608 1725136 1781248 1793792 1819664 1824416 1831424 1886612 1890304 1917568 1931072 1943552 1971584 1989988 2031736 2035712 2046044 2050048 2079616 2093056 2142283 2150512 2156128 2187226 2202629 2207744 2274272 2307074 2321984 2338336 2372062 2376704 2449216 2457728 2518208 2599168 2609152 2636656 2646784 2653696 2672384 2710928 2726542 2793637 2799104 2803346 2808832 2877952 2894528 2936276 2956954 2964676 2976064 3018988 3024896 3116048 3192728 3198976 3203824 3289088 3301571 3308032 3355744 3379376 3401216 3450272 3562496 3587584 3639328 3648832 3662848 3773224 3780608 3835136 3862144 3887104 3943168 3979976 4063472 4092088 4100096 4159232 4284566 4301024 4312256 4374452 4405258 4548544 4614148 4643968 4676672 4744124 4753408 4898432 4915456 5036416 5188183 5198336 5273312 5293568 5307392 5344768 5421856 5453084 5587274 5598208 5606692 5617664 5755904 5789056 5872552 5913908 5929352 5952128 6037976 6049792 6232096 6385456 6407648 6603142 6616064 6711488 6758752 6802432 6900544 7124992 7175168 7278656 7297664 7325696 7546448 7655291 7670272 7724288 7886336 7959952 8074759 8126944 8184176 8302217 8318464 8569132 8602048 8624512 8748904 8810516 9097088 9228296 9287936 9353344 9488248 9506816 9542897 9796864 9811711 9830912 10072832 10376366 10396672 10546624 10587136 10614784 10689536 10843712 10906168 11174548 11196416 11213384 11235328 11511808 11578112 11745104 11827816 11858704 11904256 12029743 12075952 12464192 12770912 12815296 13206284 13232128 13422976 13517504 13604864 13801088 14216969 14249984 14350336 14557312 14595328 14651392 14995981 15092896 15310582 15340544 15418403 15448576 15772672 15919904 16149518 16253888 16368352 16604434 16636928 17138264 17204096 17249024 17497808 17621032 18194176 18456592 18575872 18706688 18976496 19085794 19593728 19623422 19661824 20145664 20752732 20793344 21093248 21174272 21229568 21379072 21687424 21812336 22349096 22392832 22426768 23023616 23156224 23490208 23655632 23717408 23808512 24059486 24151904 24928384 25541824 25630592 26412568 26464256 26845952 27035008 27209728 27602176 28433938 28700672 29114624 29190656 29991962 30185792 30621164 30681088 30836806 30897152 31545344 31839808 32299036 32507776 32736704 33208868 33273856 34276528 34408192 34498048 34995616 35242064 36317281 36388352 36913184 37151744 37413376 37952992 38171588 39187456 39246844 39323648 40291328 41505464 41586688 42186496 42348544 42758144 43374848 43624672 44698192 44853536 46312448 46980416 47311264 47434816 47617024 48118972 48303808 49856768 51083648 51261184 52825136 53587037 53691904 54070016 55204352 56867876 58229248 58381312 59983924 60371584 61242328 61362176 61673612 61794304 63090688 63679616 64598072 65015552 65473408 66417736 66547712 68553056 68816384 68996096 69991232 70484128 72634562 72776704 73826368 74303488 74826752 75905984 76343176 78374912 78493688 78647296 80582656 83010928 84208201 84372992 86749696 87249344 89396384 89707072 92624896 93960832 94622528 94869632 95234048 96237944 96607616 99518783 99713536 102167296 102522368 104971867 105650272 107174074 107383808 107928821 108140032 110408704 113735752 116458496 116762624 119967848 120743168 122484656 123347224 123588608 127359232 129196144 130031104 130946816 132835472 137106112 137632768 137992192 139982464 140968256 145269124 145553408 147652736 148606976 149653504 151811968 152686352 156386659 156749824 156987376 161165312 166021856 168416402 168745984 173499392 174498688 178792768 179414144 185249792 187921664 189245056 189739264 190468096 192475888 193215232 199037566 199427072 204334592 205044736 209943734 211300544 214348148 214767616 215857642 216280064 220817408 227471504 232916992 233525248 239935696 241486336 244969312 246694448 254718464 258392288 260062208 261893632 265670944 274212224 275265536 275984384 279964928 281936512 290538248 291106816 295305472 299307008 303623936 305372704 312773318 313974752 332043712 336832804 337491968 346998784 348997376 357585536 358828288 375843328 378490112 379478528 384951776 386430464 398075132 398854144 408669184 410089472 419887468 422601088 428696296 429535232 431715284 432560128 441634816 454943008 465833984 479871392 482972672 489938624 493388896 509436928 516784576 520124416 523787264 531341888 548424448 550531072 559929856 563873024 581076496 589457407 590610944 607247872 610745408 625546636 627949504 664087424 673665608 674983936 693997568 696631481 697994752 715171072 717656576 751686656 756980224 758957056 769903552 772860928 796150264 797708288 817338368 820178944 839774936 845202176 857392592 863430568 865120256 909886016 959742784 965945344 979877248 986777792 1018873856 1033569152 1040248832 1047574528 1062683776 1094706613 1096848896 1119859712 1127746048 1162152992 1178914814 1181221888 1214495744 1221490816 1251093272 1255899008 1328174848 1347331216 1393262962 1395989504 1430342144 1435313152 1503373312 1513960448 1517914112 1539807104 1545721856 1592300528 1634676736 1679549872 1690404352 1714785184 1726861136 1819772032 1919485568 1931890688 1959754496 1973555584 2037747712 2067138304 2095149056 2125367552 2189413226 2193697792 2239719424 2255492096 2324305984 2357829628 2362443776 2428991488 2442981632 2502186544 2511798016 2656349696 2694662432 2786525924 2791979008 2860684288 2870626304 3006746624 3027920896 3035828224 3079614208 3091443712 3184601056 3359099744 3380808704 3429570368 3453722272 3639544064 3838971136 3919508992 3947111168 4134276608 4250735104 4378826452 4387395584 4479438848 4510984192 4648611968 4715659256 4724887552 4857982976 4885963264 5004373088 5023596032 5312699392 5389324864 5573051848 5583958016 5721368576 5741252608 6055841792 6159228416 6369202112 6718199488 6761617408 6859140736 6907444544 7279088128 7662946291 7677942272 7839017984 7894222336 8268553216 8501470208 8757652904 8774791168 9021968384 9297223936 9431318512 9771926528 10008746176 10047192064 10625398784 10778649728 11146103696 11442737152 12318456832 12738404224 13436398976 13523234816 13718281472 13814889088 14558176256 15325892582 15355884544 15678035968 15788444672 16537106432 17002940416 17515305808 18594447872 18862637024 19543853056 20017492352 20094384128 21250797568 21557299456 22292207392 24636913664 25476808448 26872797952 27436562944 27629778176 29116352512 30651785164 30711769088 31356071936 31576889344 33074212864 34005880832 35030611616 37188895744 37725274048 39087706112 40034984704 40188768256 43114598912 44584414784 49273827328 50953616896 53745595904 54873125888 55259556352 58232705024 61303570328 61423538176 63153778688 70061223232 74377791488 75450548096 80069969408 86229197824 89168829568 101907233792 107491191808 109746251776 110519112704 122607140656 140122446464 148755582976 150901096192 160139938816 172458395648 178337659136 203814467584 214982383616 219492503552 221038225408 245214281312 280244892928 301802192384 320279877632 344916791296 356675318272 407628935168 429964767232 442076450816 490428562624 560489785856 603604384768 640559755264 713350636544 980857125248 1120979571712 1207208769536 1426701273088 1961714250496 2241959143424 2414417539072 2853402546176 3923428500992 4483918286848 7846857001984 15693714003968 31387428007936
- Sum of all divisors σ(n): 88597433304576
- Sum of proper divisors (its aliquot sum) s(n): 57210005296640
- 31387428007936 is an abundant number, because the sum of its proper divisors (57210005296640) is greater than itself. Its abundance is 25822577288704
Bases of 31387428007936
- Binary: 1110010001011111101000111111100110000000000002
- Hexadecimal: 0x1C8BF47F3000
- Base-36: B4J6O8IKG
Squares and roots of 31387428007936
- 31387428007936 squared (313874280079362) is 985170636953365257278980096
- 31387428007936 cubed (313874280079363) is 30921972442906205545407370358399074041856
-
The
square root of 31387428007936 is 5602448.3940448751 -
The
cube root of 31387428007936 is 31544.1316447769
Scales and comparisons
How big is 31387428007936?- 31,387,428,007,936 seconds is equal to 998,023 years, 6 weeks, 2 days, 18 hours, 12 minutes, 16 seconds.
-
To count from 1 to 31,387,428,007,936 would take you about two million, four hundred ninety-five thousand and fifty-seven 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 31387428007936 cubic inches would be around 2628.7 feet tall.
Recreational maths with 31387428007936
- 31387428007936 backwards is 63970082478313
- The number of decimal digits it has is: 14
- The sum of 31387428007936's digits is 61
- More coming soon!
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The information we have on file for 31387428007936 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 31387428007936, math, Factors of 31387428007936, curriculum, school, college, exams, university, Prime factorization of 31387428007936, STEM, science, technology, engineering, physics, economics, calculator, thirty-one trillion, three hundred eighty-seven billion, four hundred twenty-eight million, seven thousand, nine hundred thirty-six.