12331628889600
12,331,628,889,600 is an even composite number composed of seven prime numbers multiplied together.
What does the number 12331628889600 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1440 divisors.
12331628889600 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 12331628889600:
29 × 3 × 52 × 29 × 432 × 53 × 113
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 29 × 43 × 43 × 53 × 113)See below for interesting mathematical facts about the number 12331628889600 from the Numbermatics database.
Names of 12331628889600
- Cardinal: 12331628889600 can be written as Twelve trillion, three hundred thirty-one billion, six hundred twenty-eight million, eight hundred eighty-nine thousand, six hundred.
Scientific notation
- Scientific notation: 1.23316288896 × 1013
Factors of 12331628889600
Divisors of 12331628889600
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 32 40 43 48 50 53 58 60 64 75 80 86 87 96 100 106 113 116 120 128 129 145 150 159 160 172 174 192 200 212 215 226 232 240 256 258 265 290 300 318 320 339 344 348 384 400 424 430 435 452 464 480 512 516 530 565 580 600 636 640 645 678 688 696 725 768 795 800 848 860 870 904 928 960 1032 1060 1075 1130 1160 1200 1247 1272 1280 1290 1325 1356 1376 1392 1450 1536 1537 1590 1600 1695 1696 1720 1740 1808 1849 1856 1920 2064 2120 2150 2175 2260 2279 2320 2400 2494 2544 2560 2580 2650 2712 2752 2784 2825 2900 3074 3180 3200 3225 3277 3390 3392 3440 3480 3616 3698 3712 3741 3840 3975 4128 4240 4300 4350 4520 4558 4611 4640 4800 4859 4988 5088 5160 5300 5424 5504 5547 5568 5650 5800 5989 6148 6235 6360 6400 6450 6554 6780 6784 6837 6880 6960 7232 7396 7424 7482 7680 7685 7950 8256 8475 8480 8600 8700 9040 9116 9222 9245 9280 9600 9718 9831 9976 10176 10320 10600 10848 11008 11094 11136 11300 11395 11600 11978 12296 12470 12720 12800 12900 13108 13560 13568 13674 13760 13920 14464 14577 14792 14848 14964 15370 15900 16385 16512 16950 16960 17200 17400 17967 18080 18232 18444 18490 18560 18705 19200 19436 19662 19952 20352 20640 21200 21696 22016 22188 22272 22600 22790 23055 23200 23956 24295 24592 24940 25440 25800 26216 27120 27136 27348 27520 27735 27840 28928 29154 29584 29928 29945 30740 31175 31800 32770 33024 33900 33920 34185 34400 34800 35934 36160 36464 36888 36980 37120 37410 38400 38425 38872 39324 39904 40704 41280 42400 43392 44376 44544 45200 45580 46110 46225 46400 47912 48590 49155 49184 49880 50880 51600 52432 53621 54240 54696 55040 55470 55680 56975 57856 58308 59168 59856 59890 61480 62350 63600 65540 66048 66091 67800 67840 68370 68800 69600 71868 72320 72885 72928 73776 73960 74240 74820 76850 77744 78648 79808 81408 81925 82560 84800 86784 88752 89835 90400 91160 92220 92450 92800 93525 95824 97180 97997 98310 98368 99760 101760 103200 104864 107242 108480 109392 110080 110940 111360 113950 115275 116616 118336 119712 119780 121475 122960 124700 127200 131080 132182 135600 135680 136740 137600 138675 139200 140911 143736 144640 145770 145856 147552 147920 149640 149725 153700 155488 157296 159616 160863 163850 165120 169600 170925 173568 173681 177504 179670 180800 182320 184440 184900 185600 187050 191648 194360 195994 196620 196736 198273 199520 203520 206400 208937 209728 214484 216960 218784 221880 222720 227900 230550 233232 236672 239424 239560 242950 245775 245920 249400 254400 257527 262160 264364 268105 271200 273480 275200 277350 278400 281822 287472 289280 291540 291712 293991 295104 295840 299280 299450 307400 310976 314592 319232 321726 327700 330240 330455 339200 341850 347362 355008 359340 361600 364425 364640 368880 369800 371200 374100 383296 388720 391988 393240 393472 396546 399040 407040 412800 417874 419456 422733 428968 433920 437568 443760 449175 455800 461100 466464 473344 478848 479120 485900 489985 491550 491840 498800 508800 515054 521043 524320 528728 536210 542400 546960 550400 554700 556800 563644 574944 583080 583424 587982 590208 591680 598560 598900 614800 621952 626811 629184 638464 643452 655400 660910 678400 683700 694724 704555 710016 718680 723200 728850 729280 737760 739600 748200 766592 772581 777440 783976 786480 786944 793092 798080 804315 825600 835748 838912 845466 857936 867840 868405 875136 887520 898350 911600 922200 932928 946688 957696 958240 971800 979970 983100 983680 991365 997600 1017600 1030108 1042086 1044685 1048640 1057456 1072420 1084800 1093920 1109400 1113600 1127288 1149888 1166160 1166848 1175964 1180416 1183360 1197120 1197800 1229600 1243904 1253622 1258368 1286904 1287635 1310800 1321820 1340525 1367400 1389448 1409110 1420032 1437360 1446400 1457700 1458560 1469955 1475520 1479200 1496400 1533184 1545162 1554880 1567952 1572960 1586184 1596160 1608630 1651200 1652275 1671496 1677824 1690932 1715872 1736810 1750272 1775040 1796700 1823200 1844400 1865856 1915392 1916480 1943600 1959940 1966200 1967360 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65926912 66441966 66693504 66859840 67637280 68205912 68634880 69472400 71001600 71047825 72146432 72710076 74682830 75261696 76659200 77258100 78397600 79309200 80231808 82361856 82408640 83366880 83574800 84546600 84596480 85257390 85793600 87513600 88589288 88924672 89619396 90183040 90887595 90941216 93292800 94077120 96946768 98890368 100289760 101515776 102952320 103010800 104208600 105745600 106975744 108219648 110736610 111155840 112024245 112728800 113676520 114988800 117596400 119492528 121183460 123612960 125362200 125436160 125836800 126894720 128690400 131853824 132883932 133387008 133719680 135274560 136411824 137269760 138944800 142095650 145420152 149365660 150523392 151479325 154516200 156795200 158618400 160463616 164817280 166104915 166733760 167149600 169093200 169192960 170514780 171587200 177178576 179238792 180366080 181775190 181882432 186585600 186707075 188154240 193893536 197780736 200579520 205904640 206021600 208417200 211491200 213143475 216439296 221473220 222311680 224048490 225457600 227353040 229977600 235192800 238985056 242366920 247225920 250724400 250872320 253789440 257380800 265767864 266774016 267439360 270549120 272823648 276841525 277889600 284191300 290840304 298731320 302958650 309032400 313590400 317236800 320927232 321136169 329634560 332209830 333467520 334299200 338186400 341029560 343174400 354357152 358477584 360732160 363550380 363764864 373414150 376308480 387787072 395561472 401159040 411809280 412043200 416834400 422982400 426286950 442946440 444623360 448096980 450915200 454437975 454706080 470385600 477970112 484733840 494451840 501448800 507578880 514761600 531535728 534878720 541098240 545647296 553683050 555779200 560121225 568382600 581680608 597462640 605917300 618064800 627180800 634473600 642272338 659269120 664419660 666935040 668598400 676372800 682059120 686348800 708714304 716955168 727100760 727529728 746828300 752616960 775574144 802318080 824086400 830524575 833668800 845964800 852573900 885892880 896193960 901830400 908875950 909412160 940771200 955940224 963408507 969467680 988903680 1002897600 1029523200 1063071456 1082196480 1091294592 1107366100 1111558400 1120242450 1136765200 1163361216 1194925280 1211834600 1236129600 1254361600 1268947200 1284544676 1328839320 1333870080 1337196800 1352745600 1364118240 1417428608 1433910336 1454201520 1455059456 1493656600 1551148288 1604636160 1605680845 1648172800 1661049150 1667337600 1705147800 1771785760 1792387920 1803660800 1817751900 1818824320 1881542400 1911880448 1926817014 1938935360 1977807360 2005795200 2059046400 2126142912 2182589184 2214732200 2223116800 2240484900 2273530400 2326722432 2389850560 2423669200 2472259200 2537894400 2569089352 2657678640 2674393600 2705491200 2728236480 2834857216 2867820672 2908403040 2987313200 3102296576 3211361690 3296345600 3322098300 3334675200 3410295600 3543571520 3584775840 3635503800 3637648640 3763084800 3823760896 3853634028 3877870720 4011590400 4252285824 4365178368 4429464400 4480969800 4547060800 4653444864 4779701120 4817042535 4847338400 4944518400 5138178704 5315357280 5410982400 5456472960 5669714432 5735641344 5816806080 5974626400 6422723380 6644196600 6669350400 6820591200 7087143040 7169551680 7271007600 7275297280 7707268056 7755741440 8023180800 8028404225 8504571648 8858928800 8961939600 9094121600 9306889728 9559402240 9634085070 9694676800 9889036800 10276357408 10630714560 10912945920 11471282688 11633612160 11949252800 12845446760 13288393200 13641182400 14174286080 14339103360 14542015200 15414536112 15511482880 16056808450 17009143296 17717857600 17923879200 18188243200 19118804480 19268170140 19389353600 20552714816 21261429120 21825891840 23267224320 23898505600 24085212675 25690893520 26576786400 27282364800 28348572160 28678206720 29084030400 30829072224 32113616900 35435715200 35847758400 36376486400 38536340280 38778707200 41105429632 42522858240 46534448640 47797011200 48170425350 51381787040 53153572800 54564729600 57356413440 58168060800 61658144448 64227233800 70871430400 71695516800 77072680560 77557414400 82210859264 85045716480 95594022400 96340850700 102763574080 106307145600 109129459200 116336121600 123316288896 128454467600 141742860800 143391033600 154145361120 164421718528 192681701400 205527148160 212614291200 232672243200 246632577792 256908935200 286782067200 308290722240 385363402800 411054296320 425228582400 493265155584 513817870400 616581444480 770726805600 822108592640 1027635740800 1233162888960 1541453611200 2055271481600 2466325777920 3082907222400 4110542963200 6165814444800 12331628889600
- Sum of all divisors σ(n): 44347362792480
- Sum of proper divisors (its aliquot sum) s(n): 32015733902880
- 12331628889600 is an abundant number, because the sum of its proper divisors (32015733902880) is greater than itself. Its abundance is 19684105013280
Bases of 12331628889600
- Binary: 101100110111001011100101110000000110000000002
- Hexadecimal: 0xB372E5C0600
- Base-36: 4DD2LG45C
Squares and roots of 12331628889600
- 12331628889600 squared (123316288896002) is 152069071070817328988160000
- 12331628889600 cubed (123316288896003) is 1875259350031526581634701392347136000000
-
The
square root of 12331628889600 is 3511641.9079399313 -
The
cube root of 12331628889600 is 23103.2715203099
Scales and comparisons
How big is 12331628889600?- 12,331,628,889,600 seconds is equal to 392,107 years, 34 weeks, 5 hours, 20 minutes.
-
To count from 1 to 12,331,628,889,600 would take you about nine hundred eighty thousand, two hundred sixty-nine 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 12331628889600 cubic inches would be around 1925.3 feet tall.
Recreational maths with 12331628889600
- 12331628889600 backwards is 00698882613321
- The number of decimal digits it has is: 14
- The sum of 12331628889600's digits is 57
- More coming soon!
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"Number 12331628889600 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 12331628889600 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/12331628889600/
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The information we have on file for 12331628889600 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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