13456070378400
13,456,070,378,400 is an even composite number composed of six prime numbers multiplied together.
13456070378400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 13456070378400:
25 × 3 × 52 × 13 × 314 × 467
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 31 × 31 × 31 × 31 × 467)See below for interesting mathematical facts about the number 13456070378400 from the Numbermatics database.
Names of 13456070378400
- Cardinal: 13456070378400 can be written as Thirteen trillion, four hundred fifty-six billion, seventy million, three hundred seventy-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.34560703784 × 1013
Factors of 13456070378400
Divisors of 13456070378400
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 31 32 39 40 48 50 52 60 62 65 75 78 80 93 96 100 104 120 124 130 150 155 156 160 186 195 200 208 240 248 260 300 310 312 325 372 390 400 403 416 465 467 480 496 520 600 620 624 650 744 775 780 800 806 930 934 961 975 992 1040 1200 1209 1240 1248 1300 1401 1488 1550 1560 1612 1860 1868 1922 1950 2015 2080 2325 2335 2400 2418 2480 2600 2802 2883 2976 3100 3120 3224 3720 3736 3844 3900 4030 4650 4670 4805 4836 4960 5200 5604 5766 6045 6071 6200 6240 6448 7005 7440 7472 7688 7800 8060 9300 9340 9610 9672 10075 10400 11208 11532 11675 12090 12142 12400 12493 12896 14010 14415 14477 14880 14944 15376 15600 16120 18213 18600 18680 19220 19344 20150 22416 23064 23350 24025 24180 24284 24800 24986 28020 28830 28954 29791 30225 30355 30752 31200 32240 35025 36426 37200 37360 37479 38440 38688 40300 43431 44832 46128 46700 48050 48360 48568 49972 56040 57660 57908 59582 60450 60710 62465 64480 70050 72075 72385 72852 74400 74720 74958 76880 80600 86862 89373 91065 92256 93400 96100 96720 97136 99944 112080 115320 115816 119164 120900 121420 124930 140100 144150 144770 145704 148955 149916 151775 153760 161200 173724 178746 182130 186800 187395 188201 192200 193440 194272 199888 217155 224160 230640 231632 238328 241800 242840 249860 280200 288300 289540 291408 297910 299832 303550 312325 322400 347448 357492 361925 364260 373600 374790 376402 384400 387283 399776 434310 446865 448787 455325 461280 463264 476656 483600 485680 499720 560400 564603 576600 579080 582816 595820 599664 607100 624650 694896 714984 723850 728520 744775 749580 752804 768800 774566 868620 893730 897574 910650 923521 936975 941005 953312 967200 971360 999440 1085775 1120800 1129206 1153200 1158160 1161849 1191640 1199328 1214200 1249300 1346361 1389792 1429968 1447700 1457040 1489550 1499160 1505608 1549132 1737240 1787460 1795148 1821300 1847042 1873950 1882010 1936415 1998880 2171550 2234325 2243935 2258412 2306400 2316320 2323698 2383280 2428400 2498600 2692722 2770563 2823015 2859936 2895400 2914080 2979100 2998320 3011216 3098264 3474480 3574920 3590296 3642600 3694084 3747900 3764020 3872830 4343100 4468650 4487870 4516824 4617605 4647396 4705025 4766560 4856800 4997200 5385444 5541126 5646030 5790800 5809245 5834231 5958200 5996640 6022432 6196528 6731805 6948960 7149840 7180592 7285200 7388168 7495800 7528040 7745660 8686200 8937300 8975740 9033648 9235210 9294792 9410050 9682075 9994400 10770888 11082252 11219675 11292060 11581600 11618490 11668462 11916400 12005773 12393056 13463610 13852815 13912397 14115075 14299680 14361184 14570400 14776336 14991600 15056080 15491320 17372400 17502693 17874600 17951480 18067296 18470420 18589584 18820100 19364150 21541776 22164504 22439350 22584120 23088025 23236980 23336924 23832800 24011546 26927220 27705630 27824794 28230150 29046225 29171155 29552672 29983200 30112160 30982640 33659025 34744800 35005386 35749200 35902960 36017319 36940840 37179168 37640200 38728300 41737191 43083552 44329008 44878700 45168240 46176050 46473960 46673848 48023092 53854440 55411260 55649588 56460300 58092450 58342310 60028865 61965280 67318050 69264075 69561985 70010772 71498400 71805920 72034638 73881680 75280400 77456600 83474382 87513465 88658016 89757400 90336480 92352100 92947920 93347696 96046184 107708880 110822520 111299176 112920600 116184900 116684620 120057730 134636100 138528150 139123970 140021544 144069276 145855775 147763360 150560800 154913200 166948764 175026930 179514800 180086595 180861161 184704200 185895840 186695392 192092368 208685955 215417760 221645040 222598352 225841200 232369800 233369240 240115460 269272200 277056300 278247940 280043088 288138552 291711550 300144325 309826400 333897528 347809925 350053860 359029600 360173190 361722322 369408400 384184736 417371910 431284307 437567325 443290080 445196704 451682400 464739600 466738480 480230920 538544400 542583483 554112600 556495880 560086176 576277104 583423100 600288650 667795056 695619850 700107720 720346380 723444644 738816800 834743820 862568614 875134650 900432975 904305805 929479200 933476960 960461840 1043429775 1077088800 1085166966 1108225200 1112991760 1152554208 1166846200 1200577300 1293852921 1335590112 1391239700 1400215440 1440692760 1446889288 1669487640 1725137228 1750269300 1800865950 1808611610 1920923680 2086859550 2156421535 2170333932 2216450400 2225983520 2333692400 2401154600 2587705842 2712917415 2782479400 2800430880 2881385520 2893778576 3338975280 3450274456 3500538600 3601731900 3617223220 4173719100 4312843070 4340667864 4521529025 4667384800 4802309200 5175411684 5425834830 5564958800 5606695991 5762771040 5787557152 6469264605 6677950560 6900548912 7001077200 7203463800 7234446440 8347438200 8625686140 8681335728 9043058050 9604618400 10350823368 10782107675 10851669660 11129917600 11213391982 12938529210 13564587075 13801097824 14002154400 14406927600 14468892880 16694876400 16820087973 17251372280 17362671456 18086116100 20701646736 21564215350 21703339320 22426783964 25877058420 27129174150 28033479955 28813855200 28937785760 32346323025 33389752800 33640175946 34502744560 36172232200 41403293472 43128430700 43406678640 44853567928 51754116840 54258348300 56066959910 64692646050 67280351892 69005489120 72344464400 84100439865 86256861400 86813357280 89707135856 103508233680 108516696600 112133919820 129385292100 134560703784 140167399775 144688928800 168200879730 172513722800 179414271712 207016467360 217033393200 224267839640 258770584200 269121407568 280334799550 336401759460 345027445600 420502199325 434066786400 448535679280 517541168400 538242815136 560669599100 672803518920 841004398650 897071358560 1035082336800 1121339198200 1345607037840 1682008797300 2242678396400 2691214075680 3364017594600 4485356792800 6728035189200 13456070378400
- Sum of all divisors σ(n): 48845360884320
- Sum of proper divisors (its aliquot sum) s(n): 35389290505920
- 13456070378400 is an abundant number, because the sum of its proper divisors (35389290505920) is greater than itself. Its abundance is 21933220127520
Bases of 13456070378400
- Binary: 110000111100111111000100101110000011101000002
- Hexadecimal: 0xC3CFC4B83A0
- Base-36: 4RPMSVLPC
Squares and roots of 13456070378400
- 13456070378400 squared (134560703784002) is 181065830028453919186560000
- 13456070378400 cubed (134560703784003) is 2436434551986288011115657439394304000000
-
The
square root of 13456070378400 is 3668251.6787156249 -
The
cube root of 13456070378400 is 23785.1603337025
Scales and comparisons
How big is 13456070378400?- 13,456,070,378,400 seconds is equal to 427,861 years, 21 weeks, 4 days, 7 hours, 20 minutes.
-
To count from 1 to 13,456,070,378,400 would take you about one million, sixty-nine thousand, six hundred fifty-three 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 13456070378400 cubic inches would be around 1982.1 feet tall.
Recreational maths with 13456070378400
- 13456070378400 backwards is 00487307065431
- 13456070378400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13456070378400's digits is 48
- More coming soon!
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