13407405096960
13,407,405,096,960 is an even composite number composed of seven prime numbers multiplied together.
13407405096960 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 13407405096960:
214 × 32 × 5 × 7 × 19 × 73 × 1873
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 19 × 73 × 1873)See below for interesting mathematical facts about the number 13407405096960 from the Numbermatics database.
Names of 13407405096960
- Cardinal: 13407405096960 can be written as Thirteen trillion, four hundred seven billion, four hundred five million, ninety-six thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.340740509696 × 1013
Factors of 13407405096960
Divisors of 13407405096960
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 28 30 32 35 36 38 40 42 45 48 56 57 60 63 64 70 72 73 76 80 84 90 95 96 105 112 114 120 126 128 133 140 144 146 152 160 168 171 180 190 192 210 219 224 228 240 252 256 266 280 285 288 292 304 315 320 336 342 360 365 380 384 399 420 438 448 456 480 504 511 512 532 560 570 576 584 608 630 640 657 665 672 684 720 730 760 768 798 840 855 876 896 912 960 1008 1022 1024 1064 1095 1120 1140 1152 1168 1197 1216 1260 1280 1314 1330 1344 1368 1387 1440 1460 1520 1533 1536 1596 1680 1710 1752 1792 1824 1873 1920 1995 2016 2044 2048 2128 2190 2240 2280 2304 2336 2394 2432 2520 2555 2560 2628 2660 2688 2736 2774 2880 2920 3040 3066 3072 3192 3285 3360 3420 3504 3584 3648 3746 3840 3990 4032 4088 4096 4161 4256 4380 4480 4560 4599 4608 4672 4788 4864 5040 5110 5120 5256 5320 5376 5472 5548 5619 5760 5840 5985 6080 6132 6144 6384 6570 6720 6840 6935 7008 7168 7296 7492 7665 7680 7980 8064 8176 8192 8322 8512 8760 8960 9120 9198 9216 9344 9365 9576 9709 9728 10080 10220 10240 10512 10640 10752 10944 11096 11238 11520 11680 11970 12160 12264 12288 12483 12768 13111 13140 13440 13680 13870 14016 14336 14592 14984 15330 15360 15960 16128 16352 16384 16644 16857 17024 17520 17920 18240 18396 18432 18688 18730 19152 19418 19456 20160 20440 20480 20805 21024 21280 21504 21888 22192 22476 22995 23040 23360 23940 24320 24528 24576 24966 25536 26222 26280 26880 27360 27740 28032 28095 28672 29127 29184 29968 30660 30720 31920 32256 32704 33288 33714 34048 35040 35587 35840 36480 36792 36864 37376 37460 38304 38836 38912 39333 40320 40880 40960 41610 42048 42560 43008 43776 44384 44952 45990 46080 46720 47880 48545 48640 49056 49152 49932 51072 52444 52560 53760 54720 55480 56064 56190 57344 58254 58368 59936 61320 61440 62415 63840 64512 65408 65555 66576 67428 68096 70080 71174 71680 72960 73584 73728 74752 74920 76608 77672 77824 78666 80640 81760 81920 83220 84096 84285 85120 86016 87381 87552 88768 89904 91980 92160 93440 95760 97090 97280 98112 99864 102144 104888 105120 106761 107520 109440 110960 112128 112380 114688 116508 116736 117999 119872 122640 122880 124830 127680 129024 130816 131110 133152 134856 136192 136729 140160 142348 143360 145635 145920 147168 147456 149504 149840 153216 155344 155648 157332 161280 163520 166440 168192 168570 170240 172032 174762 175104 177536 177935 179808 183960 184320 186880 191520 194180 194560 196224 196665 199728 204288 209776 210240 213522 215040 218880 221920 224256 224760 233016 233472 235998 239744 245280 245760 249109 249660 255360 258048 261632 262220 266304 269712 272384 273458 280320 284696 286720 291270 291840 294336 299008 299680 306432 310688 311296 314664 320283 322560 327040 332880 336384 337140 340480 344064 349524 350208 355072 355870 359616 367920 368640 373760 383040 388360 389120 392448 393330 399456 408576 410187 419552 420480 427044 430080 436905 437760 443840 448512 449520 466032 466944 471996 479488 490560 498218 499320 510720 516096 523264 524440 532608 533805 539424 544768 546916 560640 569392 573440 582540 583680 588672 589995 598016 599360 612864 621376 629328 640566 645120 654080 665760 672768 674280 680960 683645 699048 700416 710144 711740 719232 735840 737280 747327 747520 766080 776720 778240 784896 786660 798912 817152 820374 839104 840960 854088 860160 873810 875520 887680 897024 899040 932064 933888 943992 957103 958976 981120 996436 998640 1021440 1032192 1046528 1048880 1065216 1067610 1078848 1089536 1093832 1121280 1138784 1165080 1167360 1177344 1179990 1196032 1198720 1225728 1230561 1242752 1245545 1258656 1281132 1290240 1308160 1331520 1345536 1348560 1361920 1367290 1398096 1400832 1420288 1423480 1438464 1471680 1494654 1495040 1532160 1553440 1556480 1569792 1573320 1597824 1601415 1634304 1640748 1678208 1681920 1708176 1720320 1747620 1751040 1775360 1794048 1798080 1864128 1887984 1914206 1917952 1962240 1992872 1997280 2042880 2050935 2093056 2097760 2130432 2135220 2157696 2179072 2187664 2241981 2242560 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109109742 109323264 111847680 113623040 114852360 115077120 116903295 119304192 119572320 120830976 122509184 124696848 125583360 127543808 127825920 131259840 134256640 136654080 137822832 138092544 140010496 143486784 145479656 145764352 149130240 151038720 153136480 153436160 155871060 157511808 159072256 159429760 161107968 163664613 163984896 166262464 170434560 172278540 172615680 175013120 178956288 179358480 181849570 182205440 183763776 187045272 188375040 191315712 196889760 198840320 201384960 204521472 204981120 207828080 210015744 214810624 218219484 218646528 223695360 229704720 230154240 233806590 238608384 239144640 241661952 245018368 249393696 255087616 255651840 262519680 268513280 272774355 273308160 275645664 276185088 280020992 286973568 290959312 291528704 298260480 302077440 306272960 311742120 315023616 318859520 322215936 327329226 327969792 332524928 340869120 344557080 345231360 350026240 357912576 358716960 363699140 364410880 367527552 374090544 376750080 382631424 393779520 397680640 402769920 409962240 415656160 420031488 436438968 437293056 447390720 459409440 460308480 467613180 477216768 478289280 483323904 490036736 498787392 510175232 511303680 525039360 537026560 545548710 546616320 551291328 560041984 573947136 581918624 583057408 596520960 604154880 612545920 623484240 630047232 637719040 644431872 654658452 655939584 665049856 689114160 690462720 700052480 715825152 717433920 727398280 728821760 735055104 748181088 765262848 787559040 795361280 805539840 818323065 819924480 831312320 840062976 872877936 874586112 894781440 918818880 935226360 956578560 966647808 980073472 997574784 1020350464 1022607360 1050078720 1074053120 1091097420 1093232640 1102582656 1120083968 1147894272 1163837248 1193041920 1208309760 1225091840 1246968480 1260094464 1275438080 1309316904 1311879168 1330099712 1378228320 1380925440 1400104960 1431650304 1434867840 1454796560 1457643520 1470110208 1496362176 1530525696 1575118080 1611079680 1636646130 1639848960 1662624640 1680125952 1745755872 1749172224 1789562880 1837637760 1870452720 1913157120 1933295616 1960146944 1995149568 2040700928 2100157440 2182194840 2186465280 2205165312 2240167936 2295788544 2327674496 2386083840 2416619520 2450183680 2493936960 2520188928 2550876160 2618633808 2623758336 2660199424 2756456640 2800209920 2869735680 2909593120 2915287040 2940220416 2992724352 3061051392 3150236160 3222159360 3273292260 3279697920 3325249280 3360251904 3491511744 3579125760 3675275520 3740905440 3826314240 3920293888 3990299136 4081401856 4200314880 4364389680 4372930560 4410330624 4591577088 4655348992 4833239040 4900367360 4987873920 5040377856 5101752320 5237267616 5247516672 5320398848 5512913280 5600419840 5739471360 5819186240 5880440832 5985448704 6122102784 6300472320 6546584520 6559395840 6650498560 6720503808 6983023488 7158251520 7350551040 7481810880 7652628480 7840587776 7980598272 8400629760 8728779360 8745861120 8820661248 9183154176 9310697984 9666478080 9800734720 9975747840 10080755712 10203504640 10474535232 10640797696 11025826560 11200839680 11478942720 11638372480 11760881664 11970897408 12244205568 12600944640 13093169040 13118791680 13300997120 13966046976 14701102080 14963621760 15305256960 15681175552 15961196544 16801259520 17457558720 17641322496 18366308352 18621395968 19601469440 19951495680 20161511424 20407009280 20949070464 21281595392 22051653120 22957885440 23276744960 23521763328 23941794816 25201889280 26186338080 26237583360 26601994240 27932093952 29402204160 29927243520 30610513920 31922393088 33602519040 34915117440 35282644992 36732616704 37242791936 39202938880 39902991360 41898140928 42563190784 44103306240 45915770880 46553489920 47043526656 47883589632 50403778560 52372676160 53203988480 55864187904 58804408320 59854487040 61221027840 63844786176 69830234880 70565289984 74485583872 78405877760 79805982720 83796281856 88206612480 91831541760 93106979840 95767179264 100807557120 104745352320 106407976960 111728375808 117608816640 119708974080 127689572352 139660469760 141130579968 148971167744 159611965440 167592563712 176413224960 183663083520 186213959680 191534358528 209490704640 212815953920 223456751616 235217633280 239417948160 279320939520 297942335488 319223930880 335185127424 352826449920 372427919360 383068717056 418981409280 446913503232 478835896320 558641879040 638447861760 670370254848 705652899840 744855838720 837962818560 893827006464 957671792640 1117283758080 1340740509696 1489711677440 1675925637120 1915343585280 2234567516160 2681481019392 3351851274240 4469135032320 6703702548480 13407405096960
- Sum of all divisors σ(n): 56709076220160
- Sum of proper divisors (its aliquot sum) s(n): 43301671123200
- 13407405096960 is an abundant number, because the sum of its proper divisors (43301671123200) is greater than itself. Its abundance is 29894266026240
Bases of 13407405096960
- Binary: 110000110001101001111001111001000000000000002
- Hexadecimal: 0xC31A79E4000
- Base-36: 4R39YTQ80
Squares and roots of 13407405096960
- 13407405096960 squared (134074050969602) is 179758511433988987001241600
- 13407405096960 cubed (134074050969603) is 2410095182422006382904953813688385536000
-
The
square root of 13407405096960 is 3661612.3630116829 -
The
cube root of 13407405096960 is 23756.4518593855
Scales and comparisons
How big is 13407405096960?- 13,407,405,096,960 seconds is equal to 426,314 years, 3 days, 17 hours, 36 minutes.
-
To count from 1 to 13,407,405,096,960 would take you about one million, sixty-five thousand, seven hundred eighty-five 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 13407405096960 cubic inches would be around 1979.7 feet tall.
Recreational maths with 13407405096960
- 13407405096960 backwards is 06969050470431
- The number of decimal digits it has is: 14
- The sum of 13407405096960's digits is 54
- More coming soon!
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The information we have on file for 13407405096960 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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