13137924441028320
13,137,924,441,028,320 is an even composite number composed of six prime numbers multiplied together.
What does the number 13137924441028320 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
13137924441028320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13137924441028320:
25 × 33 × 5 × 312 × 672 × 893
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 31 × 31 × 67 × 67 × 89 × 89 × 89)See below for interesting mathematical facts about the number 13137924441028320 from the Numbermatics database.
Names of 13137924441028320
- Cardinal: 13137924441028320 can be written as Thirteen quadrillion, one hundred thirty-seven trillion, nine hundred twenty-four billion, four hundred forty-one million, twenty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.313792444102832 × 1016
Factors of 13137924441028320
Divisors of 13137924441028320
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 32 36 40 45 48 54 60 62 67 72 80 89 90 93 96 108 120 124 134 135 144 155 160 178 180 186 201 216 240 248 267 268 270 279 288 310 335 356 360 372 402 432 445 465 480 496 534 536 540 558 603 620 670 712 720 744 801 804 837 864 890 930 961 992 1005 1068 1072 1080 1116 1206 1240 1335 1340 1395 1424 1440 1488 1602 1608 1674 1780 1809 1860 1922 2010 2077 2136 2144 2160 2232 2403 2412 2480 2670 2680 2759 2790 2848 2883 2976 3015 3204 3216 3348 3560 3618 3720 3844 4005 4020 4154 4185 4272 4320 4464 4489 4805 4806 4824 4960 5340 5360 5518 5580 5766 5963 6030 6231 6408 6432 6696 7120 7236 7440 7688 7921 8010 8040 8277 8308 8370 8544 8649 8928 8978 9045 9610 9612 9648 10385 10680 10720 11036 11160 11532 11926 12015 12060 12462 12816 13392 13467 13795 14240 14415 14472 14880 15376 15842 16020 16080 16554 16616 16740 17298 17889 17956 18090 18693 19220 19224 19296 20770 21360 22072 22320 22445 23064 23763 23852 24030 24120 24831 24924 25632 25947 26784 26934 27590 28830 28944 29815 30752 31155 31684 32040 32160 33108 33232 33480 34596 35778 35912 36180 37386 38440 38448 39605 40401 41385 41540 42720 43245 44144 44640 44890 46128 47526 47704 48060 48240 49662 49848 51894 53667 53868 55180 56079 57660 57888 59630 62310 63368 64080 64387 66216 66464 66960 67335 69192 71289 71556 71824 72360 74493 74772 76880 76896 79210 80802 82770 83080 85529 86490 88288 89445 89780 92256 93465 95052 95408 96120 96480 99324 99696 103788 107334 107736 110360 112158 115320 118815 119260 121203 124155 124620 126736 128160 128774 129735 132432 133920 134670 138384 139159 142578 143112 143648 144720 148986 149544 153760 158420 161001 161604 165540 166160 171058 172980 178890 179560 184853 186930 190104 190816 192240 193161 198648 199392 202005 207576 213867 214668 215472 220720 224316 230640 237630 238520 242406 245551 248310 249240 253472 256587 257548 259470 264864 268335 269340 276768 278318 280395 285156 286224 289440 297972 299088 316840 321935 322002 323208 331080 332320 342116 345960 356445 357780 359120 369706 372465 373860 380208 384480 386322 397296 399521 404010 415152 417477 427645 427734 429336 430944 441440 448632 461280 475260 477040 484812 491102 496620 498480 513174 515096 518940 530707 536670 538680 554559 556636 560790 570312 572448 579483 595944 598176 606015 633680 643870 644004 646416 662160 684232 691920 695795 704969 712890 715560 718240 736653 739412 744930 747720 760416 769761 772644 794592 799042 805005 808020 830304 834954 855290 855468 858672 897264 924265 950520 954080 965805 969624 982204 993240 996960 1026348 1030192 1037880 1061414 1069335 1073340 1077360 1109118 1113272 1121580 1140624 1158966 1191888 1198563 1212030 1227755 1252431 1267360 1282935 1287740 1288008 1292832 1324320 1368464 1383840 1391590 1409938 1425780 1431120 1473306 1478824 1489860 1495440 1539522 1545288 1592121 1598084 1610010 1616040 1663677 1669908 1710580 1710936 1717344 1738449 1794528 1848530 1901040 1931610 1939248 1964408 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76803917040 79067913102 79364047608 81297025080 81601508320 82930971096 85444357707 87853236780 88182275120 90781678006 91459153215 91801696860 92145523440 94409448480 94938175230 97556430096 98102781071 99205059510 101267386912 102023113680 102511894827 103663713870 105423884136 105818730144 108396033440 110162036232 110574628128 113925810276 117137649040 119046071412 121945537620 122402262480 126584233640 131779855170 132273412680 136172517009 136682526436 137702545290 138218285160 140565178848 142407262845 146334645144 146882714976 148807589265 151901080368 153607834080 158135826204 158728095216 162594050160 165861942192 170853158045 170888715414 175706473560 176364550240 181563356012 182918306430 183603393720 184291046880 189876350460 195112860192 196205562142 197669782755 198410119020 204046227360 205023789654 207327427740 210847768272 220324072464 226954195015 227851620552 234275298080 238092142824 243891075240 244804524960 253168467280 263559710340 264546825360 272345034018 273365052872 275405090580 276436570320 284814525690 292669290288 294308343213 297615178530 303802160736 307535684481 316271652408 317456190432 325188100320 331723884384 341706316090 341777430828 351412947120 363126712024 365836612860 367206787440 379752700920 392411124284 395339565510 396820238040 408517551027 410047579308 414654855480 421695536544 427221788535 440648144928 453908390030 455703241104 476184285648 487782150480 490513905355 506336934560 512559474135 527119420680 529093650720 544690068036 546730105744 550810181160 552873140640 569629051380 585338580576 588616686426 595230357060 615071368962 632543304816 680862585045 683412632180 683554861656 702825894240 726253424048 731673225720 734413574880 759505401840 784822248568 790679131020 793640476080 817035102054 820095158616 829309710960 854443577070 882925029639 907816780060 911406482208 922607053443 952368571296 975564300960 981027810710 1025118948270 1054238841360 1089380136072 1093460211488 1101620362320 1139258102760 1177233372852 1190460714120 1225552653081 1230142737924 1265086609632 1361725170090 1366825264360 1367109723312 1452506848096 1463346451440 1471541716065 1519010803680 1537678422405 1569644497136 1581358262040 1587280952160 1634070204108 1640190317232 1658619421920 1708887154140 1765850059278 1815633560120 1845214106886 1962055621420 2042587755135 2050237896540 2108477682720 2178760272144 2203240724640 2278516205520 2354466745704 2380921428240 2451105306162 2460285475848 2648775088917 2723450340180 2733650528720 2734219446624 2926692902880 2943083432130 3041186213201 3075356844810 3139288994272 3162716524080 3268140408216 3280380634464 3417774308280 3531700118556 3631267120240 3690428213772 3924111242840 4085175510270 4100475793080 4357520544288 4414625148195 4557032411040 4613035267215 4708933491408 4761842856480 4902210612324 4920570951696 5297550177834 5446900680360 5467301057440 5886166864260 6082372426402 6127763265405 6150713689620 6325433048160 6536280816432 6835548616560 7063400237112 7262534240480 7380856427544 7848222485680 8170351020540 8200951586160 8829250296390 9123558639603 9226070534430 9417866982816 9804421224648 9841141903392 10595100355668 10893801360720 11772333728520 12164744852804 12255526530810 12301427379240 13072561632864 13243875444585 13671097233120 14126800474224 14761712855088 15205931066005 15696444971360 16340702041080 16401903172320 17658500592780 18247117279206 18452141068860 19608842449296 21190200711336 21787602721440 23544667457040 24329489705608 24511053061620 24602854758480 26487750889170 27370675918809 28253600948448 29523425710176 30411862132010 32681404082160 35317001185560 36494234558412 36904282137720 39217684898592 42380401422672 45617793198015 47089334914080 48658979411216 49022106123240 49205709516960 52975501778340 54741351837618 60823724264020 65362808164320 70634002371120 72988469116824 73808564275440 82112027756427 84760802845344 91235586396030 97317958822432 98044212246480 105951003556680 109482703675236 121647448528040 136853379594045 141268004742240 145976938233648 147617128550880 164224055512854 182471172792060 196088424492960 211902007113360 218965407350472 243294897056080 273706759188090 291953876467296 328448111025708 364942345584120 410560138782135 423804014226720 437930814700944 486589794112160 547413518376180 656896222051416 729884691168240 821120277564270 875861629401888 1094827036752360 1313792444102832 1459769382336480 1642240555128540 2189654073504720 2627584888205664 3284481110257080 4379308147009440 6568962220514160 13137924441028320
- Sum of all divisors σ(n): 48781754446017600
- Sum of proper divisors (its aliquot sum) s(n): 35643830004989280
- 13137924441028320 is an abundant number, because the sum of its proper divisors (35643830004989280) is greater than itself. Its abundance is 22505905563960960
Bases of 13137924441028320
- Binary: 1011101010110011011111011001110110010010110110111000002
- Hexadecimal: 0x2EACDF6764B6E0
- Base-36: 3LD076114O0
Squares and roots of 13137924441028320
- 13137924441028320 squared (131379244410283202) is 172605058618169294521339042022400
- 13137924441028320 cubed (131379244410283203) is 2267672218264772236427694150654459351148474368000
-
The
square root of 13137924441028320 is 114620785.3795650799 -
The
cube root of 13137924441028320 is 235962.1003550437
Scales and comparisons
How big is 13137924441028320?- 13,137,924,441,028,320 seconds is equal to 417,745,358 years, 49 weeks, 5 days, 1 hour, 12 minutes.
-
To count from 1 to 13,137,924,441,028,320 would take you about one billion, two hundred fifty-three million, two hundred thirty-six thousand and seventy-six 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 13137924441028320 cubic inches would be around 19663.5 feet tall.
Recreational maths with 13137924441028320
- 13137924441028320 backwards is 02382014442973131
- 13137924441028320 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13137924441028320's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 13137924441028320 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
APA style:
Numbermatics. (2024). Number 13137924441028320 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/13137924441028320/
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Numbermatics. 2024. "Number 13137924441028320 - Facts about the integer". https://numbermatics.com/n/13137924441028320/
The information we have on file for 13137924441028320 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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