13144433276832
13,144,433,276,832 is an even composite number composed of eight prime numbers multiplied together.
13144433276832 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13144433276832:
25 × 3 × 11 × 13 × 192 × 31 × 67 × 1277
(2 × 2 × 2 × 2 × 2 × 3 × 11 × 13 × 19 × 19 × 31 × 67 × 1277)See below for interesting mathematical facts about the number 13144433276832 from the Numbermatics database.
Names of 13144433276832
- Cardinal: 13144433276832 can be written as Thirteen trillion, one hundred forty-four billion, four hundred thirty-three million, two hundred seventy-six thousand, eight hundred thirty-two.
Scientific notation
- Scientific notation: 1.3144433276832 × 1013
Factors of 13144433276832
Divisors of 13144433276832
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 19 22 24 26 31 32 33 38 39 44 48 52 57 62 66 67 76 78 88 93 96 104 114 124 132 134 143 152 156 176 186 201 208 209 228 247 248 264 268 286 304 312 341 352 361 372 402 403 416 418 429 456 494 496 528 536 572 589 608 624 627 682 722 737 741 744 804 806 836 858 871 912 988 992 1023 1056 1072 1083 1144 1178 1209 1248 1254 1273 1277 1364 1444 1474 1482 1488 1608 1612 1672 1716 1742 1767 1824 1976 2046 2077 2144 2166 2211 2288 2356 2418 2508 2546 2554 2613 2717 2728 2888 2948 2964 2976 3216 3224 3344 3432 3484 3534 3819 3831 3952 3971 4092 4154 4332 4422 4433 4576 4693 4712 4836 5016 5092 5108 5226 5434 5456 5776 5896 5928 6231 6432 6448 6479 6688 6864 6968 7068 7638 7657 7662 7904 7942 8151 8184 8308 8664 8844 8866 9386 9424 9581 9672 10032 10184 10216 10452 10868 10912 11191 11552 11792 11856 11913 12462 12896 12958 13299 13728 13936 14003 14047 14079 14136 15276 15314 15324 15884 16302 16368 16549 16601 16616 17328 17688 17732 18772 18848 19162 19344 19437 20064 20368 20432 20904 21736 22382 22847 22971 23584 23712 23826 24187 24263 24924 25916 26598 27001 27872 28006 28094 28158 28272 28743 30552 30628 30648 31768 32604 32736 33098 33202 33232 33573 34656 35376 35464 37544 38324 38688 38874 39463 39587 40736 40864 41808 42009 42141 43472 44764 45694 45942 47652 48374 48526 49647 49803 49848 51623 51832 53196 54002 56012 56188 56316 56544 57486 61104 61256 61296 63536 65208 66196 66404 66464 67146 68541 70752 70928 72561 72789 75088 76648 77748 78926 79174 81003 83616 84018 84227 84282 85559 86944 89528 91388 91884 95304 96748 97052 99294 99606 99696 103246 103664 106392 108004 112024 112376 112632 114972 118389 118761 122208 122512 122592 123101 127072 130416 132392 132808 134292 137082 141856 145122 145483 145578 150176 153296 154869 155496 157852 158348 162006 168036 168454 168564 171118 179056 182039 182611 182776 183768 190608 193496 194104 198588 199212 199392 206492 207328 212784 216008 224048 224752 225264 229944 236778 237522 245024 246202 252681 256677 260832 264784 265616 266057 266893 268584 274164 290244 290966 291156 297011 306592 309738 310992 314431 315419 315704 316696 324012 336072 336908 337128 342236 358112 364078 365222 365552 367536 369303 381216 386992 388208 397176 398424 412984 425568 432016 434093 435457 436449 448096 449504 450528 459888 460997 473556 475044 492404 505362 513019 513354 514631 529568 531232 532114 533786 537168 546117 547833 548328 580488 581932 582312 594022 619476 621984 628862 630838 631408 633392 648024 672144 673816 674256 684472 728156 730444 731104 735072 738606 749797 752153 773984 776416 794352 796848 798171 800679 825968 864032 868186 870914 872898 891033 919776 921994 941149 943293 946257 947112 950088 984808 1010724 1026038 1026708 1029262 1064228 1067572 1074336 1092234 1095666 1096656 1112267 1160976 1163864 1164624 1188044 1238952 1257724 1261676 1262816 1266784 1296048 1302279 1306371 1344288 1347632 1348512 1368944 1382991 1456312 1460888 1477212 1499594 1504306 1539057 1543893 1588704 1593696 1596342 1600313 1601358 1625621 1651936 1736372 1741828 1745796 1782066 1843988 1882298 1886586 1892514 1894224 1900176 1969616 2021448 2052076 2053416 2058524 2128456 2135144 2184468 2191332 2193312 2224534 2249391 2256459 2321952 2327728 2329248 2376088 2477904 2515448 2523352 2592096 2604558 2612742 2652329 2695264 2737888 2765982 2823447 2912624 2921776 2954424 2999188 3008612 3078114 3087786 3192684 3200626 3202716 3251242 3336801 3458741 3469609 3472744 3483656 3491592 3564132 3687976 3764596 3773172 3785028 3788448 3800352 3939232 4042896 4104152 4106832 4117048 4256912 4270288 4368936 4382664 4449068 4498782 4512918 4655456 4752176 4800939 4876863 4955808 5030896 5046704 5070967 5209116 5225484 5304658 5531964 5643209 5646894 5660941 5825248 5843552 5908848 5992961 5998376 6017224 6156228 6175572 6385368 6401252 6405432 6502484 6673602 6917482 6939218 6945488 6967312 6983184 7128264 7375952 7529192 7546344 7570056 7956987 8085792 8208304 8213664 8234096 8247767 8273683 8513824 8540576 8737872 8765328 8898136 8997564 9025836 9504352 9601878 9747361 9753726 9777989 10061792 10093408 10141934 10376223 10408827 10418232 10450968 10609316 11063928 11286418 11293788 11321882 11817696 11985922 11996752 12034448 12234937 12312456 12351144 12770736 12802504 12810864 13004968 13347204 13834964 13878436 13890976 13934624 13966368 14256528 14290907 14751904 15058384 15092688 15140112 15212901 15913974 16416608 16468192 16495534 16547366 16929627 16982823 17475744 17530656 17796272 17881831 17978883 17995128 18051672 19203756 19494722 19507452 19555978 20283868 20752446 20817654 20836464 20901936 21133073 21218632 22127856 22572836 22587576 22643764 23971844 23993504 24068896 24469874 24624912 24702288 24743301 24821049 25541472 25605008 25621728 26009936 26694408 27669928 27756872 28513056 28581814 29175619 29242083 29333967 30116768 30185376 30280224 30425802 30886799 31827948 32991068 33094732 33859254 33965646 34480277 35592544 35763662 35957766 35990256 36103344 36704811 38407512 38989444 39014904 39111956 40567736 41504892 41635308 41672928 41803872 42266146 42437264 42872721 44255712 45145672 45175152 45287528 47943688 48939748 49249824 49404576 49486602 49642098 50394251 51210016 52019872 53388816 53645493 55339856 55513744 57163628 58351238 58484166 58667934 60851604 61773598 63399219 63655896 65922571 65982136 66189464 67718508 67931292 68960554 71527324 71915532 71980512 72206688 73409622 76815024 77978888 78029808 78223912 81135472 83009784 83270616 84532292 84874528 85745442 87526857 90291344 90350304 90575056 92660397 95887376 97879496 98973204 99284196 100788502 103440831 106777632 107220971 107290986 107557879 110679712 111027488 114327256 116702476 116968332 117335868 121703208 123547196 126798438 127311792 131845142 131964272 132378928 135437016 135862584 137921108 143054648 143831064 146819244 151182753 153630048 155957776 156059616 156447824 157199977 162270944 166019568 166541232 169064584 171490884 175053714 180582688 181150112 185320794 185781791 191774752 195758992 197767713 197946408 198568392 201577004 206881662 214441942 214581972 215115758 228654512 232463803 233404952 233936664 234671736 243406416 247094392 253596876 254623584 263690284 263928544 264757856 270874032 271725168 275842216 286109296 287662128 293638488 302365506 311915552 312895648 314399954 321662913 322673637 332039136 333082464 338129168 339754789 342981768 350107428 370641588 371563582 379283047 391517984 395535426 395892816 397136784 401528387 403154008 413763324 428883884 429163944 430231516 457309024 464927606 466809904 467873328 469343472 471599931 486812832 494188784 507193752 527380568 541748064 543450336 551684432 554336761 557345373 572218592 575324256 587276976 604731012 628799908 643325826 645347274 655125263 676258336 679509578 685963536 697391409 700214856 741283176 743127164 758566094 791070852 791785632 794273568 803056774 806308016 827526648 857767768 858327888 860463032 929855212 933619808 935746656 938686944 943199862 957490769 988377568 1014387504 1019264367 1054761136 1103368864 1108673522 1114690746 1137849141 1174553952 1204585161 1209462024 1257599816 1286651652 1290694548 1310250526 1359019156 1371927072 1394782818 1400429712 1482566352 1486254328 1517132188 1582141704 1606113548 1612616032 1655053296 1663010283 1715535536 1716655776 1720926064 1859710424 1886399724 1914981538 1965375789 2028775008 2038528734 2043599701 2109522272 2217347044 2229381492 2275698282 2409170322 2418924048 2515199632 2573303304 2581389096 2620501052 2718038312 2789565636 2800859424 2872472307 2965132704 2972508656 3034264376 3164283408 3212227096 3310106592 3326020566 3431071072 3441852128 3719420848 3772799448 3829963076 3930751578 4077057468 4087199402 4416812257 4434694088 4458762984 4551396564 4818340644 4837848096 5030399264 5146606608 5162778192 5241002104 5436076624 5579131272 5744944614 5945017312 6068528752 6130799103 6328566816 6424454192 6652041132 7206377893 7438841696 7545598896 7659926152 7861503156 8154114936 8174398804 8833624514 8869388176 8917525968 9102793128 9636681288 10293213216 10325556384 10482004208 10532398459 10872153248 11158262544 11489889228 12137057504 12261598206 12447379997 12848908384 13250436771 13304082264 14412755786 15091197792 15319852304 15723006312 16308229872 16348797608 17667249028 17738776352 17835051936 18205586256 19273362576 20964008416 21064796918 21619133679 22316525088 22979778456 24523196412 24894759994 26500873542 26608164528 28825511572 30639704608 31446012624 31597195377 32616459744 32697595216 35334498056 36411172512 37342139991 38546725152 42129593836 43238267358 45959556912 49046392824 49789519988 53001747084 53216329056 57651023144 62892025248 63194390754 65395190432 70668996112 74684279982 84259187672 86476534716 91919113824 98092785648 99579039976 106003494168 115302046288 126388781508 136921179967 141337992224 149368559964 168518375344 172953069432 196185571296 199158079952 212006988336 230604092576 252777563016 273842359934 298737119928 337036750688 345906138864 398316159904 410763539901 424013976672 505555126032 547684719868 597474239856 691812277728 821527079802 1011110252064 1095369439736 1194948479712 1643054159604 2190738879472 3286108319208 4381477758944 6572216638416 13144433276832
- Sum of all divisors σ(n): 44856413134848
- Sum of proper divisors (its aliquot sum) s(n): 31711979858016
- 13144433276832 is an abundant number, because the sum of its proper divisors (31711979858016) is greater than itself. Its abundance is 18567546581184
Bases of 13144433276832
- Binary: 101111110100011011010100011010110111101000002
- Hexadecimal: 0xBF46D46B7A0
- Base-36: 4NQGW6Z6O
Squares and roots of 13144433276832
- 13144433276832 squared (131444332768322) is 172776126169088429147956224
- 13144433276832 cubed (131444332768323) is 2271044262259090087651645691188009402368
-
The
square root of 13144433276832 is 3625525.2415108077 -
The
cube root of 13144433276832 is 23600.1060974067
Scales and comparisons
How big is 13144433276832?- 13,144,433,276,832 seconds is equal to 417,952 years, 16 weeks, 4 days, 9 hours, 47 minutes, 12 seconds.
-
To count from 1 to 13,144,433,276,832 would take you about one million, forty-four thousand, eight hundred eighty 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 13144433276832 cubic inches would be around 1966.7 feet tall.
Recreational maths with 13144433276832
- 13144433276832 backwards is 23867233444131
- The number of decimal digits it has is: 14
- The sum of 13144433276832's digits is 51
- More coming soon!
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The information we have on file for 13144433276832 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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