13147331968512
13,147,331,968,512 is an even composite number composed of six prime numbers multiplied together.
13147331968512 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred divisors.
Prime factorization of 13147331968512:
29 × 39 × 7 × 17 × 19 × 577
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 17 × 19 × 577)See below for interesting mathematical facts about the number 13147331968512 from the Numbermatics database.
Names of 13147331968512
- Cardinal: 13147331968512 can be written as Thirteen trillion, one hundred forty-seven billion, three hundred thirty-one million, nine hundred sixty-eight thousand, five hundred twelve.
Scientific notation
- Scientific notation: 1.3147331968512 × 1013
Factors of 13147331968512
Divisors of 13147331968512
- Number of divisors d(n): 1600
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 19 21 24 27 28 32 34 36 38 42 48 51 54 56 57 63 64 68 72 76 81 84 96 102 108 112 114 119 126 128 133 136 144 152 153 162 168 171 189 192 204 216 224 228 238 243 252 256 266 272 288 304 306 323 324 336 342 357 378 384 399 408 432 448 456 459 476 486 504 512 513 532 544 567 576 577 608 612 646 648 672 684 714 729 756 768 798 816 864 896 912 918 952 969 972 1008 1026 1064 1071 1088 1134 1152 1154 1197 1216 1224 1292 1296 1344 1368 1377 1428 1458 1512 1536 1539 1596 1632 1701 1728 1731 1792 1824 1836 1904 1938 1944 2016 2052 2128 2142 2176 2187 2261 2268 2304 2308 2394 2432 2448 2584 2592 2688 2736 2754 2856 2907 2916 3024 3078 3192 3213 3264 3402 3456 3462 3584 3591 3648 3672 3808 3876 3888 4032 4039 4104 4131 4256 4284 4352 4374 4522 4536 4608 4616 4617 4788 4864 4896 5103 5168 5184 5193 5376 5472 5508 5712 5814 5832 6048 6156 6384 6426 6528 6561 6783 6804 6912 6924 7182 7296 7344 7616 7752 7776 8064 8078 8208 8262 8512 8568 8704 8721 8748 9044 9072 9232 9234 9576 9639 9728 9792 9809 10206 10336 10368 10386 10752 10773 10944 10963 11016 11424 11628 11664 12096 12117 12312 12393 12768 12852 13056 13122 13566 13608 13824 13848 13851 14364 14592 14688 15232 15309 15504 15552 15579 16128 16156 16416 16524 17024 17136 17442 17496 18088 18144 18464 18468 19152 19278 19584 19618 19683 20349 20412 20672 20736 20772 21546 21888 21926 22032 22848 23256 23328 24192 24234 24624 24786 25536 25704 26112 26163 26244 27132 27216 27696 27702 28728 28917 29184 29376 29427 30464 30618 31008 31104 31158 32256 32312 32319 32832 32889 33048 34048 34272 34884 34992 36176 36288 36351 36928 36936 37179 38304 38556 39168 39236 39366 40698 40824 41344 41472 41544 41553 43092 43776 43852 44064 45696 45927 46512 46656 46737 48384 48468 49248 49572 51072 51408 52326 52488 54264 54432 55392 55404 57456 57834 58752 58854 60928 61047 61236 62016 62208 62316 64624 64638 65664 65778 66096 68096 68544 68663 69768 69984 72352 72576 72702 73856 73872 74358 76608 76741 77112 78336 78472 78489 78732 81396 81648 82688 83088 83106 86184 86751 87552 87704 88128 88281 91392 91854 93024 93312 93474 96768 96936 96957 98496 98667 99144 102144 102816 104652 104976 108528 108864 109053 110784 110808 111537 114912 115668 117504 117708 122094 122472 124032 124416 124632 124659 129248 129276 131328 131556 132192 137088 137326 137781 139536 139968 140211 144704 145152 145404 147712 147744 148716 153216 153482 154224 156944 156978 157464 162792 163296 165376 166176 166212 172368 173502 175408 176256 176562 182784 183141 183708 186048 186371 186624 186948 193872 193914 196992 197334 198288 204288 205632 205989 209304 209952 217056 217728 218106 221568 221616 223074 229824 230223 231336 235008 235416 235467 244188 244944 248064 249264 249318 258496 258552 260253 262656 263112 264384 264843 274176 274652 275562 279072 279936 280422 289408 290304 290808 290871 295424 295488 296001 297432 306432 306964 308448 313888 313956 314928 325584 326592 327159 332352 332424 334611 344736 347004 350816 352512 353124 366282 367416 372096 372742 373248 373896 373977 387744 387828 393984 394668 396576 411264 411978 418608 419904 420633 434112 435456 436212 443136 443232 446148 459648 460446 462672 470832 470934 488376 489888 496128 498528 498636 516992 517104 520506 526224 528768 529686 548352 549304 549423 551124 558144 559113 559872 560844 578816 581616 581742 590976 592002 594864 612864 613928 616896 617967 627776 627912 629856 651168 653184 654318 664704 664848 669222 689472 690669 694008 701632 705024 706248 706401 732564 734832 744192 745484 747792 747954 775488 775656 780759 787968 789336 793152 794529 822528 823956 837216 839808 841266 868224 870912 872424 872613 886272 886464 888003 892296 919296 920892 925344 941664 941868 976752 979776 981477 997056 997272 1033984 1034208 1041012 1052448 1057536 1059372 1098608 1098846 1102248 1116288 1118226 1119744 1121688 1157632 1163232 1163484 1181952 1184004 1189728 1227856 1233792 1235934 1255552 1255824 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99456336 99937152 100110654 101699712 101721744 105466368 105489216 105672357 105999516 107349696 107682048 111694464 111888378 113664384 114412176 117874176 118649664 118675368 120559104 120768408 121142304 125241312 125629056 127872432 128713698 132608448 133249536 133480872 135599616 135628992 135864459 140652288 140896476 141332688 143132928 143856486 148925952 149184504 149905728 150165981 151552512 152549568 158199552 158233824 158999274 161024544 161523072 166988416 167505408 167541696 167832567 170496576 171320832 171618264 176811264 177974496 178013052 180838656 181152612 181713456 187861968 188443584 191476224 191808648 193070547 198912672 199874304 200221308 203399424 203443488 210978432 211344714 211999032 214699392 215364096 215784729 223388928 223776756 227328768 228824352 237299328 237350736 241536816 242284608 250482624 251258112 255744864 257427396 265216896 266961744 271257984 271728918 281304576 281792952 282665376 286265856 287712972 298369008 299811456 300331962 305099136 316399104 316467648 317017071 317998548 322049088 323046144 333976832 335083392 335665134 340993152 343236528 353622528 355948992 356026104 361677312 362305224 363426912 375723936 376887168 383617296 386141094 397825344 399748608 400442616 406798848 406886976 407593377 421956864 422689428 423998064 429398784 431569458 446777856 447553512 450497943 454657536 457648704 474598656 474701472 483073632 484569216 500965248 502516224 503497701 511489728 514854792 530433792 533923488 542515968 543457836 563585904 565330752 575425944 596738016 599622912 600663924 610198272 632935296 634034142 635997096 644098176 646092288 667953664 670166784 671330268 681986304 686473056 711897984 712052208 724610448 726853824 751447872 753774336 767234592 772282188 795650688 800885232 813773952 815186754 843913728 845378856 847996128 858797568 863138916 895107024 900995886 915297408 949197312 949402944 951051213 966147264 969138432 1001930496 1006995402 1022979456 1029709584 1060867584 1067846976 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4603407552 4773904128 4805311392 4891120524 5072273136 5087976768 5370642144 5405975316 5491784448 5696417664 5706307278 5796883584 5814830592 6011582976 6041972412 6137876736 6178257504 6407081856 6521494032 6763030848 6783969024 6905111328 7160856192 7207967088 7336680786 7595223552 7608409704 7729178112 8055963216 8237676672 8542775808 8559460917 8695325376 9017374464 9206815104 9547808256 9610622784 9782241048 10144546272 10175953536 10741284288 10811950632 10983568896 11392835328 11412614556 11593767168 12083944824 12275753472 12356515008 12814163712 13042988064 13526061696 13567938048 13810222656 14321712384 14415934176 14673361572 15216819408 16111926432 16475353344 17118921834 17390650752 18034748928 18413630208 19221245568 19564482096 20289092544 20351907072 21482568576 21623901264 22785670656 22825229112 23187534336 24167889648 24713030016 25628327424 25678382751 26085976128 27052123392 27620445312 28643424768 28831868352 29346723144 30433638816 32223852864 32950706688 34237843668 34781301504 36827260416 38442491136 39128964192 40578185088 40703814144 42965137152 43247802528 45650458224 48335779296 49426060032 51356765502 52171952256 54104246784 55240890624 57663736704 58693446288 60867277632 64447705728 68475687336 69562603008 76884982272 78257928384 81156370176 85930274304 86495605056 91300916448 96671558592 98852120064 102713531004 104343904512 110481781248 115327473408 117386892576 121734555264 128895411456 136951374672 156515856768 162312740352 172991210112 182601832896 193343117184 205427062008 208687809024 230654946816 234773785152 243469110528 257790822912 273902749344 313031713536 345982420224 365203665792 386686234368 410854124016 469547570304 486938221056 547805498688 626063427072 691964840448 730407331584 773372468736 821708248032 939095140608 1095610997376 1460814663168 1643416496064 1878190281216 2191221994752 3286832992128 4382443989504 6573665984256 13147331968512
- Sum of all divisors σ(n): 50277208481280
- Sum of proper divisors (its aliquot sum) s(n): 37129876512768
- 13147331968512 is an abundant number, because the sum of its proper divisors (37129876512768) is greater than itself. Its abundance is 23982544544256
Bases of 13147331968512
- Binary: 101111110101000110100000110100111110000000002
- Hexadecimal: 0xBF51A0D3E00
- Base-36: 4NRSU0000
Squares and roots of 13147331968512
- 13147331968512 squared (131473319685122) is 172852337890257620959494144
- 13147331968512 cubed (131473319685123) is 2272547067776622092796196094451256393728
-
The
square root of 13147331968512 is 3625924.9810926867 -
The
cube root of 13147331968512 is 23601.8407836595
Scales and comparisons
How big is 13147331968512?- 13,147,331,968,512 seconds is equal to 418,044 years, 25 weeks, 3 days, 1 hour, 55 minutes, 12 seconds.
-
To count from 1 to 13,147,331,968,512 would take you about one million, forty-five thousand, one hundred eleven 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 13147331968512 cubic inches would be around 1966.8 feet tall.
Recreational maths with 13147331968512
- 13147331968512 backwards is 21586913374131
- 13147331968512 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13147331968512's digits is 54
- More coming soon!
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"Number 13147331968512 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 13147331968512 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/13147331968512/
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The information we have on file for 13147331968512 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 13147331968512, math, Factors of 13147331968512, curriculum, school, college, exams, university, Prime factorization of 13147331968512, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, one hundred forty-seven billion, three hundred thirty-one million, nine hundred sixty-eight thousand, five hundred twelve.