31368042381312
31,368,042,381,312 is an even composite number composed of six prime numbers multiplied together.
What does the number 31368042381312 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
31368042381312 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 31368042381312:
217 × 33 × 7 × 13 × 257 × 379
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 257 × 379)See below for interesting mathematical facts about the number 31368042381312 from the Numbermatics database.
Names of 31368042381312
- Cardinal: 31368042381312 can be written as Thirty-one trillion, three hundred sixty-eight billion, forty-two million, three hundred eighty-one thousand, three hundred twelve.
Scientific notation
- Scientific notation: 3.1368042381312 × 1013
Factors of 31368042381312
Divisors of 31368042381312
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 54 56 63 64 72 78 84 91 96 104 108 112 117 126 128 144 156 168 182 189 192 208 216 224 234 252 256 257 273 288 312 336 351 364 378 379 384 416 432 448 468 504 512 514 546 576 624 672 702 728 756 758 768 771 819 832 864 896 936 1008 1024 1028 1092 1137 1152 1248 1344 1404 1456 1512 1516 1536 1542 1638 1664 1728 1792 1799 1872 2016 2048 2056 2184 2274 2304 2313 2457 2496 2653 2688 2808 2912 3024 3032 3072 3084 3276 3328 3341 3411 3456 3584 3598 3744 4032 4096 4112 4368 4548 4608 4626 4914 4927 4992 5306 5376 5397 5616 5824 6048 6064 6144 6168 6552 6656 6682 6822 6912 6939 7168 7196 7488 7959 8064 8192 8224 8736 9096 9216 9252 9828 9854 9984 10023 10233 10612 10752 10794 11232 11648 12096 12128 12288 12336 13104 13312 13364 13644 13824 13878 14336 14392 14781 14976 15918 16128 16191 16384 16448 17472 18192 18432 18504 19656 19708 19968 20046 20466 21224 21504 21588 22464 23296 23387 23877 24192 24256 24576 24672 26208 26624 26728 27288 27648 27756 28672 28784 29562 29952 30069 31836 32256 32382 32768 32896 34489 34944 36384 36864 37008 39312 39416 39936 40092 40932 42448 43008 43176 44343 44928 46592 46774 47754 48384 48512 48573 49152 49344 52416 53248 53456 54576 55296 55512 57344 57568 59124 59904 60138 63672 64512 64764 65536 65792 68978 69888 70161 71631 72768 73728 74016 78624 78832 79872 80184 81864 84896 86016 86352 88686 89856 90207 93184 93548 95508 96768 97024 97146 97403 98304 98688 103467 104832 106496 106912 109152 110592 111024 114688 115136 118248 119808 120276 127344 129024 129528 131072 131584 133029 137956 139776 140322 143262 145536 147456 148032 157248 157664 159744 160368 163728 169792 172032 172704 177372 179712 180414 186368 187096 191016 193536 194048 194292 194806 196608 197376 206934 209664 210483 212992 213824 218304 221184 222048 229376 230272 236496 239616 240552 254688 258048 259056 263168 266058 275912 279552 280644 286524 291072 292209 294912 296064 310401 314496 315328 319488 320736 327456 339584 344064 345408 354744 359424 360828 372736 374192 382032 387072 388096 388584 389612 393216 394752 413868 419328 420966 425984 427648 436608 442368 444096 458752 460544 472992 479232 481104 509376 516096 518112 526336 532116 551824 559104 561288 573048 582144 584418 589824 592128 620802 628992 630656 631449 638976 641472 654912 679168 681821 688128 690816 709488 718848 721656 745472 748384 764064 774144 776192 777168 779224 789504 827736 838656 841932 851968 855296 873216 876627 884736 888192 917504 921088 931203 945984 958464 962208 1018752 1032192 1036224 1052672 1064232 1103648 1118208 1122576 1146096 1164288 1168836 1179648 1184256 1241604 1257984 1261312 1262898 1266239 1277952 1282944 1309824 1358336 1363642 1376256 1381632 1418976 1437696 1443312 1490944 1496768 1528128 1548288 1552384 1554336 1558448 1579008 1655472 1677312 1683864 1703936 1710592 1746432 1753254 1769472 1776384 1842176 1862406 1891968 1916928 1924416 2037504 2045463 2064384 2072448 2105344 2128464 2207296 2236416 2245152 2292192 2328576 2337672 2368512 2483208 2515968 2522624 2525796 2532478 2555904 2565888 2619648 2629881 2716672 2727284 2752512 2763264 2837952 2875392 2886624 2981888 2993536 3056256 3096576 3104768 3108672 3116896 3158016 3310944 3354624 3367728 3421184 3492864 3506508 3538944 3552768 3684352 3724812 3783936 3798717 3833856 3848832 4075008 4090926 4128768 4144896 4210688 4256928 4414592 4472832 4490304 4584384 4657152 4675344 4737024 4966416 5031936 5045248 5051592 5064956 5111808 5131776 5239296 5259762 5433344 5454568 5526528 5675904 5750784 5773248 5963776 5987072 6112512 6136389 6193152 6209536 6217344 6233792 6316032 6621888 6709248 6735456 6842368 6985728 7013016 7105536 7368704 7449624 7567872 7597434 7667712 7697664 8150016 8181852 8257536 8289792 8421376 8513856 8829184 8863673 8945664 8980608 9168768 9314304 9350688 9474048 9932832 10063872 10090496 10103184 10129912 10263552 10478592 10519524 10866688 10909136 11053056 11351808 11396151 11501568 11546496 11927552 11974144 12225024 12272778 12386304 12419072 12434688 12467584 12632064 13243776 13418496 13470912 13684736 13971456 14026032 14211072 14737408 14899248 15135744 15194868 15335424 15395328 16300032 16363704 16579584 16842752 17027712 17658368 17727346 17891328 17961216 18337536 18409167 18628608 18701376 18948096 19865664 20127744 20180992 20206368 20259824 20527104 20957184 21039048 21733376 21818272 22106112 22703616 22792302 23003136 23092992 23948288 24450048 24545556 24772608 24838144 24869376 24935168 25264128 26487552 26591019 26836992 26941824 27369472 27942912 28052064 28422144 29474816 29798496 30271488 30389736 30790656 32600064 32727408 33159168 33685504 34055424 34188453 35316736 35454692 35782656 35922432 36675072 36818334 37257216 37402752 37896192 39731328 40255488 40361984 40412736 40519648 41054208 41914368 42078096 43466752 43636544 44212224 45407232 45584604 46006272 46185984 47896576 48900096 49091112 49676288 49738752 49870336 50528256 52975104 53182038 53673984 53883648 54738944 55885824 56104128 56844288 58949632 59596992 60542976 60779472 61581312 65200128 65454816 66318336 68110848 68376906 70633472 70909384 71844864 73350144 73636668 74514432 74805504 75792384 79462656 79773057 80510976 80723968 80825472 81039296 82108416 83828736 84156192 86933504 87273088 88424448 90814464 91169208 92371968 95793152 97800192 98182224 99477504 99740672 101056512 105950208 106364076 107347968 107767296 109477888 111771648 112208256 113688576 117899264 119193984 121085952 121558944 123162624 130400256 130909632 132636672 136221696 136753812 141266944 141818768 143689728 146700288 147273336 149028864 149611008 151584768 158925312 159546114 161021952 161447936 161650944 162078592 164216832 167657472 168312384 173867008 174546176 176848896 181628928 182338416 184743936 191586304 195600384 196364448 198955008 199481344 211900416 212728152 215534592 218955776 223543296 224416512 227377152 235798528 238387968 239319171 242171904 243117888 246325248 260800512 261819264 265273344 272443392 273507624 282533888 283637536 287379456 293400576 294546672 299222016 303169536 317850624 319092228 322043904 322895872 323301888 324157184 328433664 335314944 336624768 347734016 349092352 353697792 363257856 364676832 369487872 383172608 391200768 392728896 397910016 398962688 423800832 425456304 431069184 437911552 447086592 448833024 454754304 476775936 478638342 484343808 486235776 492650496 521601024 523638528 530546688 544886784 547015248 565067776 567275072 574758912 586801152 589093344 598444032 635701248 638184456 645791744 646603776 648314368 656867328 670629888 673249536 698184704 707395584 726515712 729353664 738975744 766345216 782401536 785457792 795820032 797925376 847601664 850912608 862138368 897666048 909508608 953551872 957276684 968687616 972471552 985300992 1043202048 1047277056 1061093376 1089773568 1094030496 1130135552 1134550144 1149517824 1173602304 1178186688 1196888064 1271402496 1276368912 1293207552 1296628736 1313734656 1341259776 1346499072 1396369408 1453031424 1458707328 1477951488 1532690432 1564803072 1570915584 1591640064 1595850752 1695203328 1701825216 1724276736 1795332096 1907103744 1914553368 1937375232 1944943104 1970601984 2094554112 2122186752 2179547136 2188060992 2260271104 2269100288 2299035648 2347204608 2356373376 2393776128 2542804992 2552737824 2586415104 2593257472 2692998144 2792738816 2906062848 2917414656 2955902976 3065380864 3129606144 3141831168 3183280128 3191701504 3390406656 3403650432 3448553472 3590664192 3814207488 3829106736 3889886208 3941203968 4189108224 4359094272 4376121984 4520542208 4538200576 4598071296 4694409216 4712746752 4787552256 5085609984 5105475648 5172830208 5186514944 5385996288 5585477632 5812125696 5834829312 5911805952 6283662336 6366560256 6383403008 6780813312 6807300864 6897106944 7181328384 7628414976 7658213472 7779772416 8378216448 8718188544 8752243968 9076401152 9196142592 9388818432 9425493504 9575104512 10171219968 10210951296 10345660416 10373029888 10771992576 11170955264 11669658624 11823611904 12567324672 12766806016 13561626624 13614601728 13794213888 14362656768 15256829952 15316426944 15559544832 16756432896 17436377088 17504487936 18152802304 18850987008 19150209024 20342439936 20421902592 20691320832 20746059776 21543985152 22341910528 23339317248 25134649344 27229203456 27588427776 28725313536 30513659904 30632853888 31119089664 33512865792 35008975872 36305604608 37701974016 38300418048 40684879872 40843805184 41382641664 41492119552 43087970304 44683821056 46678634496 50269298688 54458406912 57450627072 61027319808 61265707776 62238179328 67025731584 70017951744 72611209216 75403948032 81687610368 82765283328 82984239104 86175940608 89367642112 93357268992 100538597376 108916813824 114901254144 122054639616 122531415552 124476358656 134051463168 140035903488 145222418432 150807896064 163375220736 165968478208 172351881216 186714537984 201077194752 217833627648 245062831104 248952717312 268102926336 280071806976 290444836864 301615792128 326750441472 344703762432 373429075968 402154389504 435667255296 490125662208 497905434624 560143613952 580889673728 603231584256 653500882944 746858151936 804308779008 871334510592 980251324416 1120287227904 1161779347456 1206463168512 1307001765888 1493716303872 1742669021184 1960502648832 2240574455808 2412926337024 2614003531776 3485338042368 3921005297664 4481148911616 5228007063552 7842010595328 10456014127104 15684021190656 31368042381312
- Sum of all divisors σ(n): 115138238745600
- Sum of proper divisors (its aliquot sum) s(n): 83770196364288
- 31368042381312 is an abundant number, because the sum of its proper divisors (83770196364288) is greater than itself. Its abundance is 52402153982976
Bases of 31368042381312
- Binary: 1110010000111011100010000011000000000000000002
- Hexadecimal: 0x1C8771060000
- Base-36: B4AA2J9C0
Squares and roots of 31368042381312
- 31368042381312 squared (313680423813122) is 983954082835785807606841344
- 31368042381312 cubed (313680423813123) is 30864713371657907550294476636108334563328
-
The
square root of 31368042381312 is 5600718.0237280291 -
The
cube root of 31368042381312 is 31537.6361704931
Scales and comparisons
How big is 31368042381312?- 31,368,042,381,312 seconds is equal to 997,406 years, 37 weeks, 3 days, 1 hour, 55 minutes, 12 seconds.
-
To count from 1 to 31,368,042,381,312 would take you about two million, four hundred ninety-three thousand, five hundred sixteen 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 31368042381312 cubic inches would be around 2628.1 feet tall.
Recreational maths with 31368042381312
- 31368042381312 backwards is 21318324086313
- The number of decimal digits it has is: 14
- The sum of 31368042381312's digits is 45
- More coming soon!
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The information we have on file for 31368042381312 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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