13742820715680
13,742,820,715,680 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13742820715680 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3456 divisors.
13742820715680 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 13742820715680:
25 × 38 × 5 × 7 × 23 × 31 × 43 × 61
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 23 × 31 × 43 × 61)See below for interesting mathematical facts about the number 13742820715680 from the Numbermatics database.
Names of 13742820715680
- Cardinal: 13742820715680 can be written as Thirteen trillion, seven hundred forty-two billion, eight hundred twenty million, seven hundred fifteen thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.374282071568 × 1013
Factors of 13742820715680
Divisors of 13742820715680
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 23 24 27 28 30 31 32 35 36 40 42 43 45 46 48 54 56 60 61 62 63 69 70 72 80 81 84 86 90 92 93 96 105 108 112 115 120 122 124 126 129 135 138 140 144 155 160 161 162 168 172 180 183 184 186 189 207 210 215 216 217 224 230 240 243 244 248 252 258 270 276 279 280 288 301 305 310 315 322 324 336 344 345 360 366 368 372 378 387 405 414 420 427 430 432 434 460 465 480 483 486 488 496 504 516 540 549 552 558 560 567 602 610 620 621 630 644 645 648 651 672 688 690 713 720 729 732 736 744 756 774 805 810 828 837 840 854 860 864 868 903 915 920 930 945 966 972 976 989 992 1008 1032 1035 1080 1085 1098 1104 1116 1120 1134 1161 1204 1215 1220 1240 1242 1260 1281 1288 1290 1296 1302 1333 1376 1380 1395 1403 1426 1440 1449 1458 1464 1488 1505 1512 1548 1610 1620 1647 1656 1674 1680 1701 1708 1720 1736 1806 1830 1840 1860 1863 1890 1891 1932 1935 1944 1952 1953 1978 2016 2064 2070 2135 2139 2160 2170 2187 2196 2208 2232 2268 2322 2408 2415 2430 2440 2480 2484 2511 2520 2562 2576 2580 2592 2604 2623 2666 2709 2745 2760 2790 2806 2835 2852 2898 2916 2928 2967 2976 3010 3024 3096 3105 3220 3240 3255 3294 3312 3348 3360 3402 3416 3440 3472 3483 3565 3612 3645 3660 3680 3720 3726 3780 3782 3843 3864 3870 3888 3906 3956 3999 4128 4140 4185 4209 4270 4278 4320 4340 4347 4374 4392 4464 4515 4536 4644 4816 4830 4860 4880 4941 4945 4960 4968 4991 5022 5040 5103 5124 5152 5160 5208 5246 5332 5418 5490 5520 5580 5589 5612 5670 5673 5704 5796 5805 5832 5856 5859 5934 6020 6048 6192 6210 6405 6417 6440 6480 6510 6561 6588 6624 6665 6696 6804 6832 6880 6923 6944 6966 7015 7130 7224 7245 7290 7320 7440 7452 7533 7560 7564 7686 7728 7740 7776 7812 7869 7912 7998 8127 8235 8280 8370 8418 8505 8540 8556 8680 8694 8748 8784 8901 8928 9030 9072 9288 9315 9331 9455 9632 9660 9720 9760 9765 9821 9882 9890 9936 9982 10044 10080 10206 10248 10320 10416 10449 10492 10664 10695 10836 10935 10980 11040 11160 11178 11224 11340 11346 11408 11529 11592 11610 11664 11718 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694783656 695346120 699665040 703677456 706935222 711326124 713875680 715213152 726748848 736406640 737671536 739815930 748478880 757430595 760953528 771981840 781863840 782264385 785483580 789136992 790362360 791637138 803110140 804614796 807498720 807925968 816275880 819635040 820957032 829880478 834415344 845503920 859141080 868479570 873225360 879596820 887779116 889157655 894016440 897695520 908436060 908916714 912174480 917840160 922089420 923576661 926378208 927128160 938717262 942580296 948434832 951191910 963732168 979531056 986421240 992548080 1005768495 1009907460 1014604704 1026196290 1030969296 1038212640 1043019180 1047311440 1047870432 1053816480 1055516184 1060402833 1066989186 1070813520 1072819728 1088367840 1094609376 1106507304 1109723895 1141430292 1145521440 1157972760 1172795760 1178225370 1183705488 1185543540 1192021920 1204665210 1211248080 1211888952 1224413820 1229452560 1231435548 1244820717 1251623016 1256773728 1268255880 1284976224 1288711620 1309838040 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5707151460 5918527440 6059444760 6157177740 6224103585 6258115080 6283868640 6333097104 6362416998 6424881120 6436918368 6639043824 6658343370 6816875355 6947836560 7036774560 7040379465 7069352220 7102232928 7113261240 7267488480 7271333712 7376715360 7388613288 7468924302 7509738096 7609535280 7916371380 7990012044 8046147960 8079259680 8180250426 8209570320 8298804780 8344153440 8483222664 8535913488 8877791160 9089167140 9131442336 9235766610 9387172620 9425802960 9484348320 9543625497 9637321680 9795310560 9851484384 9958565736 9987515055 10309692960 10555161840 10604028330 10653349392 10669891860 10728197280 10907000568 11065073040 11082919932 11264607144 11310963552 11414302920 11837054880 12118889520 12270375639 12314355480 12448207170 12516230160 12666194208 12724833996 13278087648 13316686740 13633750710 13853649915 13895673120 14080758930 14138704440 14226522480 14542667424 14777226576 14937848604 15019476192 15219070560 15832742760 15906042495 15980024088 16092295920 16360500852 16419140640 16597609560 16966445328 17071826976 17755582320 18178334280 18471533220 18672310755 18774345240 18851605920 19087250994 19274643360 19917131472 19975030110 20450626065 21110323680 21208056660 21306698784 21339783720 21814001136 22130146080 22165839864 22529214288 22828605840 24237779040 24540751278 24628710960 24896414340 25032460320 25449667992 26633373480 27267501420 27707299830 28161517860 28277408880 28453044960 28630876491 29554453152 29875697208 31665485520 31812084990 31960048176 32184591840 32721001704 33195219120 33932890656 35511164640 36356668560 36943066440 37344621510 37548690480 38174501988 39834262944 39950060220 40901252130 42416113320 42679567440 43628002272 44331679728 45058428576 45657211680 47718127485 49081502556 49257421920 49792828680 50899335984 53266746960 54535002840 55414599660 56323035720 56554817760 57261752982 59751394416 61351878195 63330971040 63624169980 63920096352 65442003408 66390438240 72713337120 73886132880 74689243020 75097380960 76349003976 79900120440 81802504260 84832226640 85359134880 85892629473 88663359456 95436254970 98163005112 99585657360 101798671968 106533493920 109070005680 110829199320 112646071440 114523505964 119502788832 122703756390 127248339960 130884006816 143154382455 147772265760 149378486040 152698007952 159800240880 163605008520 169664453280 171785258946 190872509940 196326010224 199171314720 218140011360 221658398640 225292142880 229047011928 245407512780 254496679920 286308764910 298756972080 305396015904 319600481760 327210017040 343570517892 381745019880 392652020448 429463147365 443316797280 458094023856 490815025560 508993359840 572617529820 597513944160 654420034080 687141035784 763490039760 858926294730 916188047712 981630051120 1145235059640 1374282071568 1526980079520 1717852589460 1963260102240 2290470119280 2748564143136 3435705178920 4580940238560 6871410357840 13742820715680
- Sum of all divisors σ(n): 62348585435136
- Sum of proper divisors (its aliquot sum) s(n): 48605764719456
- 13742820715680 is an abundant number, because the sum of its proper divisors (48605764719456) is greater than itself. Its abundance is 34862944003776
Bases of 13742820715680
- Binary: 110001111111101111111111001001101100101000002
- Hexadecimal: 0xC7FBFF26CA0
- Base-36: 4VDD4MI00
Squares and roots of 13742820715680
- 13742820715680 squared (137428207156802) is 188865121223323347397862400
- 13742820715680 cubed (137428207156803) is 2595539500417302522194344613670162432000
-
The
square root of 13742820715680 is 3707131.0626520881 -
The
cube root of 13742820715680 is 23952.9289878477
Scales and comparisons
How big is 13742820715680?- 13,742,820,715,680 seconds is equal to 436,979 years, 9 weeks, 5 days, 22 hours, 48 minutes.
-
To count from 1 to 13,742,820,715,680 would take you about one million, ninety-two thousand, four hundred forty-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 13742820715680 cubic inches would be around 1996.1 feet tall.
Recreational maths with 13742820715680
- 13742820715680 backwards is 08651702824731
- 13742820715680 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13742820715680's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 13742820715680 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 13742820715680 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/13742820715680/
Chicago style:
Numbermatics. 2024. "Number 13742820715680 - Facts about the integer". https://numbermatics.com/n/13742820715680/
The information we have on file for 13742820715680 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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