13742794986624
13,742,794,986,624 is an even composite number composed of seven prime numbers multiplied together.
13742794986624 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 13742794986624:
27 × 33 × 11 × 19 × 89 × 313 × 683
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 19 × 89 × 313 × 683)See below for interesting mathematical facts about the number 13742794986624 from the Numbermatics database.
Names of 13742794986624
- Cardinal: 13742794986624 can be written as Thirteen trillion, seven hundred forty-two billion, seven hundred ninety-four million, nine hundred eighty-six thousand, six hundred twenty-four.
Scientific notation
- Scientific notation: 1.3742794986624 × 1013
Factors of 13742794986624
Divisors of 13742794986624
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 32 33 36 38 44 48 54 57 64 66 72 76 88 89 96 99 108 114 128 132 144 152 171 176 178 192 198 209 216 228 264 267 288 297 304 313 342 352 356 384 396 418 432 456 513 528 534 576 594 608 626 627 683 684 704 712 792 801 836 864 912 939 979 1026 1056 1068 1152 1188 1216 1252 1254 1366 1368 1408 1424 1584 1602 1672 1691 1728 1824 1878 1881 1958 2049 2052 2112 2136 2376 2403 2432 2504 2508 2732 2736 2817 2848 2937 3168 3204 3344 3382 3443 3456 3648 3756 3762 3916 4098 4104 4224 4272 4752 4806 5008 5016 5073 5464 5472 5634 5643 5696 5874 5947 6147 6336 6408 6688 6764 6886 7296 7512 7513 7524 7832 8196 8208 8451 8544 8811 9504 9612 10016 10032 10146 10329 10928 10944 11268 11286 11392 11748 11894 12294 12672 12816 12977 13376 13528 13772 15024 15026 15048 15219 15664 16392 16416 16902 17088 17622 17841 18441 18601 19008 19224 20032 20064 20292 20658 21856 21888 22536 22539 22572 23496 23788 24588 25632 25954 26433 26752 27056 27544 27857 30048 30052 30096 30438 30987 31328 32784 32832 33804 34176 35244 35682 36882 37202 38016 38448 38931 40064 40128 40584 41316 43712 45072 45078 45144 45657 46992 47576 49176 51264 51908 52866 53523 54112 55088 55714 55803 60096 60104 60192 60787 60876 61974 62656 65417 65568 65664 67608 67617 70488 71364 73764 74404 76896 77862 80256 81168 82632 83571 87424 90144 90156 90288 91314 92961 93984 95152 98352 102528 103816 105732 107046 108224 110176 111428 111606 116793 120192 120208 120384 121574 121752 123948 125312 130834 131136 135216 135234 140976 142728 142747 147528 148808 153792 155724 160569 162336 165264 167142 167409 180288 180312 180576 182361 182628 185922 187968 190304 196251 196704 202851 207632 211464 213779 214092 216448 220352 222856 223212 233586 240416 240768 243148 243504 247896 250713 261668 262272 270432 270468 281952 285456 285494 295056 297616 306427 307584 311448 321138 324672 330528 334284 334818 350379 360576 360624 361152 364722 365256 371844 375936 380608 392502 393408 405702 415264 422928 427558 428184 428241 440704 445712 446424 467172 480832 486296 487008 495792 501426 502227 523336 529283 540864 540936 547083 563904 570912 570988 588753 590112 595232 612854 622896 641337 642276 649344 661056 668568 668657 669636 700758 721248 722304 729444 730512 743688 752139 761216 785004 786816 811404 830528 845856 855116 856368 856482 891424 892848 919281 934344 961664 972592 974016 991584 1002852 1004454 1046672 1058566 1081728 1081872 1094166 1127808 1141824 1141976 1154953 1177506 1180224 1190464 1225708 1245792 1282674 1284552 1284723 1322112 1337136 1337314 1339272 1401516 1442496 1458888 1461024 1487376 1504278 1570008 1587849 1622808 1641249 1661056 1691712 1710232 1712736 1712964 1766259 1782848 1785696 1838562 1868688 1924011 1945184 1948032 1983168 2005704 2005971 2008908 2093344 2117132 2163744 2188332 2283648 2283952 2309906 2351569 2355012 2360448 2380928 2451416 2491584 2565348 2569104 2569446 2674272 2674628 2678544 2757843 2803032 2884992 2917776 2922048 2974752 3008556 3140016 3175698 3245616 3282498 3383424 3420464 3425472 3425928 3464859 3532518 3565696 3571392 3677124 3737376 3848022 3854169 3890368 3966336 4011408 4011942 4017816 4061801 4186688 4234264 4327488 4376664 4567904 4619812 4703138 4710024 4763547 4902832 4983168 5130696 5138208 5138892 5348544 5349256 5357088 5515686 5606064 5772033 5822113 5835552 5844096 5949504 6017112 6017913 6280032 6351396 6491232 6564996 6840928 6850944 6851856 6929718 7054707 7065036 7142784 7354248 7474752 7696044 7708338 7780736 8022816 8023884 8035632 8123602 8273529 8373376 8468528 8654976 8753328 9135808 9239624 9406276 9420048 9527094 9805664 10261392 10276416 10277784 10394577 10697088 10698512 10714176 11031372 11212128 11544066 11644226 11671104 11899008 12034224 12035826 12185403 12560064 12702792 12704483 12982464 13129992 13681856 13703712 13859436 14109414 14130072 14290641 14708496 14949504 15392088 15416676 16045632 16047768 16071264 16247204 16547058 16937056 17466339 17506656 18053739 18271616 18479248 18812552 18840096 19026331 19054188 19611328 20522784 20552832 20555568 20789154 21164121 21397024 21428352 22062744 22424256 23088132 23288452 23342208 24068448 24071652 24370806 25120128 25405584 25408966 25964928 26259984 27363712 27407424 27718872 28218828 28260144 28581282 29416992 30784176 30833352 31183731 32091264 32095536 32142528 32494408 33094116 33874112 34932678 35013312 36107478 36556209 36958496 37625104 37680192 38052662 38108376 38113449 39222656 41045568 41111136 41578308 42328242 42794048 44125488 44679811 44848512 46176264 46576904 48136896 48143304 48741612 50811168 50817932 52399017 52519968 54814848 55437744 56437656 56520288 57078993 57162564 58833984 61568352 61666704 62367462 63492363 64191072 64285056 64988816 66188232 67748224 69865356 70026624 72214956 73112418 73916992 75250208 75360384 76105324 76216752 76226898 82091136 82222272 83156616 84656484 85588096 88250976 89359622 92352528 93153808 96273792 96286608 97483224 101622336 101635864 104798034 105039936 109668627 110875488 112875312 113040576 114157986 114325128 114340347 117667968 123136704 123333408 124734924 126984726 128382144 129977632 132376464 134039433 139730712 144429912 146224836 147833984 150500416 152210648 152433504 152453796 157197051 164444544 166313232 169312968 171236979 176501952 178719244 184705056 186307616 192573216 194966448 203244672 203271728 209289641 209596068 210079872 219337254 221750976 225750624 226081152 228315972 228650256 228680694 246273408 246666816 249469848 253969452 256764288 259955264 264752928 268078866 279461424 288859824 292449672 301000832 304421296 304867008 304907592 314394102 332626464 338625936 342473958 343021041 353003904 357438488 361500289 369410112 372615232 385146432 389932896 402118299 406543456 418579282 419192136 438674508 443501952 451501248 456631944 457300512 457361388 493333632 498939696 507938904 513710937 519910528 529505856 536157732 558922848 577719648 584899344 608842592 609734016 609815184 627868923 628788204 665252928 677251872 684947916 686042082 714876976 723000578 738820224 745230464 770292864 779865792 804236598 813086912 837158564 838384272 877349016 903002496 913263888 914601024 914722776 997879392 1015877808 1027421874 1059011712 1072315464 1084500867 1117845696 1155439296 1169798688 1206354897 1217685184 1219630368 1255737846 1257576408 1330505856 1354503744 1369895832 1372084164 1429753952 1446001156 1559731584 1608473196 1626173824 1674317128 1676768544 1754698032 1826527776 1829202048 1829445552 1883606769 1995758784 2031755616 2054843748 2144630928 2169001734 2235691392 2310878592 2339597376 2412709794 2435370368 2439260736 2511475692 2515152816 2709007488 2739791664 2744168328 2859507904 2892002312 3216946392 3253502601 3348634256 3353537088 3509396064 3653055552 3658891104 3767213538 3976503179 3991517568 4063511232 4109687496 4289261856 4338003468 4679194752 4825419588 4878521472 5022951384 5030305632 5479583328 5488336656 5650820307 5719015808 5784004624 6433892784 6507005202 6697268512 6707074176 7018792128 7306111104 7317782208 7534427076 7953006358 8127022464 8219374992 8578523712 8676006936 9650839176 9760507803 10045902768 10060611264 10959166656 10976673312 11301640614 11568009248 11929509537 12867785568 13014010404 13394537024 14037584256 14635564416 15068854152 15906012716 16438749984 17157047424 17352013872 19301678352 19521015606 20091805536 20121222528 21918333312 21953346624 22603281228 23136018496 23859019074 25735571136 26028020808 26789074048 30137708304 31812025432 32877499968 34704027744 35788528611 38603356704 39042031212 40183611072 43906693248 45206562456 46272036992 47718038148 51471142272 52056041616 60275416608 63624050864 65754999936 69408055488 71577057222 77206713408 78084062424 80367222144 90413124912 95436076296 104112083232 107365585833 120550833216 127248101728 138816110976 143154114444 154413426816 156168124848 180826249824 190872152592 208224166464 214731171666 241101666432 254496203456 286308228888 312336249696 361652499648 381744305184 416448332928 429462343332 508992406912 572616457776 624672499392 723304999296 763488610368 858924686664 1145232915552 1249344998784 1526977220736 1717849373328 2290465831104 3435698746656 4580931662208 6871397493312 13742794986624
- Sum of all divisors σ(n): 47319448320000
- Sum of proper divisors (its aliquot sum) s(n): 33576653333376
- 13742794986624 is an abundant number, because the sum of its proper divisors (33576653333376) is greater than itself. Its abundance is 19833858346752
Bases of 13742794986624
- Binary: 110001111111101111100110100111010100100000002
- Hexadecimal: 0xC7FBE69D480
- Base-36: 4VDCPB1C0
Squares and roots of 13742794986624
- 13742794986624 squared (137427949866242) is 188864414044377748338917376
- 13742794986624 cubed (137427949866243) is 2595524922480753895725735258524561178624
-
The
square root of 13742794986624 is 3707127.5924391919 -
The
cube root of 13742794986624 is 23952.9140397611
Scales and comparisons
How big is 13742794986624?- 13,742,794,986,624 seconds is equal to 436,978 years, 19 weeks, 2 days, 3 hours, 50 minutes, 24 seconds.
-
To count from 1 to 13,742,794,986,624 would take you about one million, ninety-two thousand, four hundred forty-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 13742794986624 cubic inches would be around 1996.1 feet tall.
Recreational maths with 13742794986624
- 13742794986624 backwards is 42668949724731
- 13742794986624 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13742794986624's digits is 72
- More coming soon!
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"Number 13742794986624 - Facts about the integer". Numbermatics.com. 2024. Web. 1 June 2024.
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Numbermatics. (2024). Number 13742794986624 - Facts about the integer. Retrieved 1 June 2024, from https://numbermatics.com/n/13742794986624/
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The information we have on file for 13742794986624 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 13742794986624, math, Factors of 13742794986624, curriculum, school, college, exams, university, Prime factorization of 13742794986624, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, seven hundred forty-two billion, seven hundred ninety-four million, nine hundred eighty-six thousand, six hundred twenty-four.