13964096756736
13,964,096,756,736 is an even composite number composed of four prime numbers multiplied together.
What does the number 13964096756736 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1232 divisors.
13964096756736 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, two hundred thirty-two divisors.
Prime factorization of 13964096756736:
210 × 37 × 76 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 7 × 7 × 7 × 53)See below for interesting mathematical facts about the number 13964096756736 from the Numbermatics database.
Names of 13964096756736
- Cardinal: 13964096756736 can be written as Thirteen trillion, nine hundred sixty-four billion, ninety-six million, seven hundred fifty-six thousand, seven hundred thirty-six.
Scientific notation
- Scientific notation: 1.3964096756736 × 1013
Factors of 13964096756736
Divisors of 13964096756736
- Number of divisors d(n): 1232
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 53 54 56 63 64 72 81 84 96 98 106 108 112 126 128 144 147 159 162 168 189 192 196 212 216 224 243 252 256 288 294 318 324 336 343 371 378 384 392 424 432 441 448 477 486 504 512 567 576 588 636 648 672 686 729 742 756 768 784 848 864 882 896 954 972 1008 1024 1029 1113 1134 1152 1176 1272 1296 1323 1344 1372 1431 1458 1484 1512 1536 1568 1696 1701 1728 1764 1792 1908 1944 2016 2058 2187 2226 2268 2304 2352 2401 2544 2592 2597 2646 2688 2744 2862 2916 2968 3024 3072 3087 3136 3339 3392 3402 3456 3528 3584 3816 3888 3969 4032 4116 4293 4374 4452 4536 4608 4704 4802 5088 5103 5184 5194 5292 5376 5488 5724 5832 5936 6048 6174 6272 6678 6784 6804 6912 7056 7168 7203 7632 7776 7791 7938 8064 8232 8586 8748 8904 9072 9216 9261 9408 9604 10017 10176 10206 10368 10388 10584 10752 10976 11448 11664 11872 11907 12096 12348 12544 12879 13356 13568 13608 13824 14112 14406 15264 15309 15552 15582 15876 16128 16464 16807 17172 17496 17808 18144 18179 18522 18816 19208 20034 20352 20412 20736 20776 21168 21504 21609 21952 22896 23328 23373 23744 23814 24192 24696 25088 25758 26712 27136 27216 27648 27783 28224 28812 30051 30528 30618 31104 31164 31752 32256 32928 33614 34344 34992 35616 35721 36288 36358 37044 37632 38416 38637 40068 40704 40824 41472 41552 42336 43218 43904 45792 46656 46746 47488 47628 48384 49392 50176 50421 51516 53424 54272 54432 54537 55566 56448 57624 60102 61056 61236 62208 62328 63504 64512 64827 65856 67228 68688 69984 70119 71232 71442 72576 72716 74088 75264 76832 77274 80136 81408 81648 82944 83104 83349 84672 86436 87808 90153 91584 93312 93492 94976 95256 96768 98784 100842 103032 106848 107163 108864 109074 111132 112896 115248 115911 117649 120204 122112 122472 124416 124656 127008 127253 129654 131712 134456 137376 139968 140238 142464 142884 145152 145432 148176 150528 151263 153664 154548 160272 162816 163296 163611 166208 166698 169344 172872 175616 180306 183168 186624 186984 189952 190512 193536 194481 197568 201684 206064 210357 213696 214326 217728 218148 222264 225792 230496 231822 235298 240408 244224 244944 248832 249312 250047 254016 254506 259308 263424 268912 270459 274752 279936 280476 284928 285768 290304 290864 296352 302526 307328 309096 320544 326592 327222 332416 333396 338688 345744 351232 352947 360612 366336 373248 373968 379904 381024 381759 388962 395136 403368 412128 420714 427392 428652 435456 436296 444528 451584 453789 460992 463644 470596 480816 488448 489888 490833 498624 500094 508032 509012 518616 526848 537824 540918 549504 559872 560952 569856 571536 580608 581728 583443 592704 605052 614656 618192 631071 641088 653184 654444 664832 666792 677376 691488 705894 721224 732672 746496 747936 750141 762048 763518 777924 790272 806736 811377 824256 841428 854784 857304 870912 872592 889056 890771 907578 921984 927288 941192 961632 979776 981666 997248 1000188 1016064 1018024 1037232 1053696 1058841 1075648 1081836 1099008 1119744 1121904 1139712 1143072 1145277 1163456 1166886 1185408 1210104 1229312 1236384 1262142 1282176 1306368 1308888 1329664 1333584 1354752 1361367 1382976 1411788 1442448 1465344 1472499 1495872 1500282 1524096 1527036 1555848 1580544 1613472 1622754 1648512 1682856 1709568 1714608 1741824 1745184 1750329 1778112 1781542 1815156 1843968 1854576 1882384 1893213 1923264 1959552 1963332 1994496 2000376 2032128 2036048 2074464 2117682 2151296 2163672 2198016 2239488 2243808 2286144 2290554 2326912 2333772 2370816 2420208 2458624 2472768 2524284 2564352 2612736 2617776 2659328 2667168 2672313 2722734 2765952 2823576 2884896 2944998 2991744 3000564 3048192 3054072 3111696 3161088 3176523 3226944 3245508 3297024 3365712 3419136 3429216 3435831 3490368 3500658 3556224 3563084 3630312 3687936 3709152 3764768 3786426 3846528 3919104 3926664 3988992 4000752 4064256 4072096 4084101 4148928 4235364 4302592 4327344 4396032 4417497 4487616 4572288 4581108 4653824 4667544 4741632 4840416 4945536 5048568 5128704 5225472 5235552 5250987 5334336 5344626 5445468 5531904 5647152 5679639 5769792 5889996 5983488 6001128 6096384 6108144 6223392 6235397 6353046 6453888 6491016 6594048 6731424 6858432 6871662 6980736 7001316 7112448 7126168 7260624 7375872 7418304 7529536 7572852 7693056 7838208 7853328 7977984 8001504 8016939 8144192 8168202 8297856 8470728 8605184 8654688 8834994 8975232 9144576 9162216 9307648 9335088 9483264 9529569 9680832 9891072 10097136 10257408 10307493 10471104 10501974 10668672 10689252 10890936 11063808 11294304 11359278 11539584 11779992 11966976 12002256 12192768 12216288 12252303 12446784 12470794 12706092 12907776 12982032 13188096 13252491 13462848 13716864 13743324 13961472 14002632 14224896 14252336 14521248 14836608 15059072 15145704 15386112 15676416 15706656 16003008 16033878 16288384 16336404 16595712 16941456 17210368 17309376 17669988 17950464 18289152 18324432 18615296 18670176 18706191 19059138 19361664 19782144 20194272 20614986 20942208 21003948 21337344 21378504 21781872 22127616 22588608 22718556 23079168 23559984 23933952 24004512 24050817 24432576 24504606 24893568 24941588 25412184 25815552 25964064 26504982 26925696 27433728 27486648 27922944 28005264 28449792 28504672 28588707 29042496 29673216 30118144 30291408 30772224 30922479 31413312 32006016 32067756 32576768 32672808 33191424 33882912 34618752 35339976 35900928 36578304 36648864 36756909 37340352 37412382 38118276 38723328 39564288 39757473 40388544 41229972 41884416 42007896 42674688 42757008 43563744 45177216 45437112 46158336 47119968 48009024 48101634 48865152 49009212 49787136 49883176 50824368 51631104 51928128 53009964 53851392 54867456 54973296 55845888 56010528 56118573 57009344 57177414 58084992 59346432 60236288 60582816 61844958 62826624 64012032 64135512 65153536 65345616 66382848 67765824 69237504 70679952 71801856 72152451 73297728 73513818 74680704 74824764 76236552 77446656 79514946 80777088 82459944 83768832 84015792 85349376 85514016 85766121 87127488 90354432 90874224 92316672 92767437 94239936 96018048 96203268 97730304 98018424 99574272 99766352 101648736 103856256 106019928 107702784 109734912 109946592 112021056 112237146 114018688 114354828 116169984 118692864 120472576 121165632 123689916 125653248 128024064 128271024 130307072 130691232 135531648 138475008 141359904 144304902 146595456 147027636 149361408 149649528 152473104 154893312 159029892 161554176 164919888 167537664 168031584 168355719 171028032 171532242 174254976 180708864 181748448 185534874 188479872 192036096 192406536 195460608 196036848 199148544 199532704 203297472 207712512 212039856 215405568 216457353 219893184 224042112 224474292 228037376 228709656 232339968 242331264 247379832 251306496 256048128 256542048 257298363 261382464 271063296 276950016 278302311 282719808 288609804 293190912 294055272 298722816 299299056 304946208 318059784 323108352 329839776 336063168 336711438 342056064 343064484 348509952 361417728 363496896 371069748 376959744 384072192 384813072 390921216 392073696 399065408 406594944 415425024 424079712 432914706 439786368 448084224 448948584 456074752 457419312 464679936 484662528 494759664 502612992 505067157 513084096 514596726 522764928 542126592 556604622 565439616 577219608 586381824 588110544 597445632 598598112 609892416 636119568 646216704 649372059 659679552 672126336 673422876 684112128 686128968 697019904 726993792 742139496 753919488 768144384 769626144 784147392 798130816 813189888 830850048 848159424 865829412 879572736 896168448 897897168 912149504 914838624 969325056 989519328 1010134314 1026168192 1029193452 1045529856 1084253184 1113209244 1130879232 1154439216 1172763648 1176221088 1197196224 1219784832 1272239136 1298744118 1319359104 1344252672 1346845752 1368224256 1372257936 1394039808 1453987584 1484278992 1507838976 1515201471 1539252288 1568294784 1596261632 1626379776 1696318848 1731658824 1759145472 1792336896 1795794336 1829677248 1938650112 1948116177 1979038656 2020268628 2052336384 2058386904 2091059712 2226418488 2261758464 2308878432 2352442176 2394392448 2439569664 2544478272 2597488236 2638718208 2688505344 2693691504 2736448512 2744515872 2907975168 2968557984 3030402942 3078504576 3136589568 3192523264 3252759552 3392637696 3463317648 3518290944 3591588672 3659354496 3896232354 3958077312 4040537256 4104672768 4116773808 4182119424 4452836976 4523516928 4545604413 4617756864 4704884352 4788784896 4879139328 5088956544 5194976472 5277436416 5377010688 5387383008 5489031744 5815950336 5937115968 6060805884 6157009152 6273179136 6385046528 6785275392 6926635296 7183177344 7318708992 7792464708 7916154624 8081074512 8209345536 8233547616 8905673952 9091208826 9235513728 9409768704 9577569792 9758278656 10177913088 10389952944 10554872832 10774766016 10978063488 11874231936 12121611768 12314018304 12546358272 13570550784 13636813239 13853270592 14366354688 14637417984 15584929416 15832309248 16162149024 16467095232 17811347904 18182417652 18471027456 18819537408 19155139584 20355826176 20779905888 21549532032 21956126976 23748463872 24243223536 24628036608 27273626478 27706541184 28732709376 29274835968 31169858832 31664618496 32324298048 32934190464 35622695808 36364835304 36942054912 37639074816 40711652352 41559811776 43099064064 43912253952 47496927744 48486447072 54547252956 55413082368 57465418752 62339717664 64648596096 65868380928 71245391616 72729670608 73884109824 83119623552 86198128128 87824507904 94993855488 96972894144 109094505912 110826164736 124679435328 129297192192 131736761856 142490783232 145459341216 166239247104 172396256256 193945788288 218189011824 221652329472 249358870656 258594384384 263473523712 284981566464 290918682432 332478494208 387891576576 436378023648 498717741312 517188768768 581837364864 664956988416 775783153152 872756047296 997435482624 1163674729728 1551566306304 1745512094592 1994870965248 2327349459456 3491024189184 4654698918912 6982048378368 13964096756736
- Sum of all divisors σ(n): 49764534792480
- Sum of proper divisors (its aliquot sum) s(n): 35800438035744
- 13964096756736 is an abundant number, because the sum of its proper divisors (35800438035744) is greater than itself. Its abundance is 21836341279008
Bases of 13964096756736
- Binary: 110010110011010001010000011011011100000000002
- Hexadecimal: 0xCB34506DC00
- Base-36: 4Y70MO000
Squares and roots of 13964096756736
- 13964096756736 squared (139640967567362) is 194995998231484873961373696
- 13964096756736 cubed (139640967567363) is 2722942986480776720245460164852901216256
-
The
square root of 13964096756736 is 3736856.5341388207 -
The
cube root of 13964096756736 is 24080.8021654535
Scales and comparisons
How big is 13964096756736?- 13,964,096,756,736 seconds is equal to 444,015 years, 4 weeks, 2 days, 5 hours, 45 minutes, 36 seconds.
-
To count from 1 to 13,964,096,756,736 would take you about one million, one hundred ten thousand and thirty-seven 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 13964096756736 cubic inches would be around 2006.7 feet tall.
Recreational maths with 13964096756736
- 13964096756736 backwards is 63765769046931
- 13964096756736 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13964096756736's digits is 72
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 13964096756736 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
APA style:
Numbermatics. (2024). Number 13964096756736 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/13964096756736/
Chicago style:
Numbermatics. 2024. "Number 13964096756736 - Facts about the integer". https://numbermatics.com/n/13964096756736/
The information we have on file for 13964096756736 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 13964096756736, math, Factors of 13964096756736, curriculum, school, college, exams, university, Prime factorization of 13964096756736, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, nine hundred sixty-four billion, ninety-six million, seven hundred fifty-six thousand, seven hundred thirty-six.