1356340828400800
1,356,340,828,400,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 1356340828400800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 576 divisors.
1356340828400800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 1356340828400800:
25 × 52 × 11 × 263 × 401 × 443 × 3299
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 263 × 401 × 443 × 3299)See below for interesting mathematical facts about the number 1356340828400800 from the Numbermatics database.
Names of 1356340828400800
- Cardinal: 1356340828400800 can be written as One quadrillion, three hundred fifty-six trillion, three hundred forty billion, eight hundred twenty-eight million, four hundred thousand, eight hundred.
Scientific notation
- Scientific notation: 1.3563408284008 × 1015
Factors of 1356340828400800
Divisors of 1356340828400800
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 263 275 352 400 401 440 443 526 550 800 802 880 886 1052 1100 1315 1604 1760 1772 2005 2104 2200 2215 2630 2893 3208 3299 3544 4010 4208 4400 4411 4430 4873 5260 5786 6416 6575 6598 7088 8020 8416 8800 8822 8860 9746 10025 10520 11075 11572 12832 13150 13196 14176 14465 16040 16495 17644 17720 19492 20050 21040 22055 22150 23144 24365 26300 26392 28930 32080 32990 35288 35440 36289 38984 40100 42080 44110 44300 46288 48730 52600 52784 57860 64160 65980 70576 70880 72325 72578 77968 80200 82475 88220 88600 92576 97460 105200 105463 105568 110275 115720 116509 121825 131960 141152 144650 145156 155936 160400 164950 176440 177200 177643 181445 194920 210400 210926 220550 231440 233018 243650 263920 289300 290312 320800 329900 352880 354400 355286 362890 389840 421852 441100 462880 466036 487300 527315 527840 578600 580624 582545 659800 705760 710572 725780 779680 843704 867637 882200 888215 907225 932072 974600 1054630 1157200 1160093 1161248 1165090 1281599 1319600 1322899 1421144 1451560 1461457 1687408 1735274 1764400 1776430 1814450 1864144 1949200 1954073 2109260 2314400 2320186 2330180 2563198 2636575 2639200 2645798 2842288 2903120 2912725 2922914 3374816 3470548 3528800 3552860 3628900 3728288 3898400 3908146 4218520 4338185 4441075 4640372 4660360 5126396 5273150 5291596 5684576 5800465 5806240 5825450 5845828 6407995 6614495 6941096 7105720 7257800 7307285 7816292 8437040 8676370 8882150 9280744 9320720 9544007 9770365 10252792 10546300 10583192 11600930 11650900 11691656 12815990 13228990 13882192 14211440 14515600 14551889 14614570 15632584 16076027 16874080 17352740 17764300 18561488 18641440 19088014 19540730 20505584 21092600 21166384 21690925 23201860 23301800 23383312 25631980 26457980 27764384 28422880 29002325 29031200 29103778 29229140 31265168 32039975 32152054 33072475 34705480 35528600 36536425 37122976 38176028 39081460 41011168 42185200 42332768 43381850 46403720 46603600 46720109 46766624 47720035 48851825 51263960 52915960 58004650 58207556 58458280 62530336 64079950 64304108 66144950 69410960 71057200 72759445 73072850 76352056 78162920 80380135 84370400 86763700 92807440 93207200 93440218 95440070 97703650 102527920 105831920 116009300 116415112 116916560 128159900 128608216 132289900 138821920 142114400 145518890 146145700 152704112 156325840 160760270 173527400 185614880 186880436 190880140 195407300 205055840 211663840 232018600 232830224 233600545 233833120 238600175 256319800 257216432 264579800 291037780 292291400 305408224 312651680 321520540 347054800 347922437 363797225 373760872 381760280 384363191 390814600 401900675 464037200 465660448 467201090 477200350 512639600 513921199 514432864 529159600 582075560 584582800 586044257 643041080 694109600 695844874 727594450 747521744 763520560 768726382 781629200 803801350 928074400 934402180 954400700 1025279200 1027842398 1058319200 1164151120 1168002725 1169165600 1172088514 1286082160 1391689748 1455188900 1495043488 1527041120 1537452764 1563258400 1607602700 1739612185 1868804360 1908801400 1921815955 2055684796 2328302240 2336005450 2344177028 2569605995 2572164320 2783379496 2910377800 2930221285 3074905528 3215205400 3479224370 3737608720 3817602800 3827146807 3843631910 4111369592 4227995101 4672010900 4688354056 5139211990 5566758992 5820755600 5860442570 6149811056 6430410800 6446486827 6958448740 7475217440 7635205600 7654293614 7687263820 8222739184 8455990202 8698060925 9344021800 9376708112 9609079775 10278423980 11133517984 11641511200 11720885140 12299622112 12848029975 12860821600 12892973654 13916897480 14651106425 15308587228 15374527640 16445478368 16911980404 17396121850 18688043600 18753416224 19135734035 19218159550 20556847960 21139975505 23441770280 25696059950 25785947308 27833794960 29302212850 30617174456 30749055280 32232434135 33823960808 34792243700 37376087200 38271468070 38436319100 41113695920 42279951010 46883540560 51392119900 51571894616 55667589920 58604425700 61234348912 61498110560 64464868270 67647921616 69584487400 76542936140 76872638200 82227391840 84559902020 93767081120 95678670175 102784239800 103143789232 105699877525 117208851400 122468697824 128929736540 135295843232 139168974800 153085872280 153745276400 154129639591 161162170675 169119804040 191357340350 205568479600 206287578464 211399755050 234417702800 257859473080 278337949600 306171744560 307490552800 308259279182 322324341350 338239608080 382714680700 411136959200 422799510100 468835405600 515718946160 612343489120 616518558364 644648682700 676479216160 765429361400 770648197955 845599020200 1031437892320 1233037116728 1289297365400 1530858722800 1541296395910 1691198040400 1695426035501 2466074233456 2578594730800 3061717445600 3082592791820 3382396080800 3390852071002 3853240989775 4932148466912 5157189461600 6165185583640 6781704142004 7706481979550 8477130177505 12330371167280 13563408284008 15412963959100 16954260355010 24660742334560 27126816568016 30825927918200 33908520710020 42385650887525 54253633136032 61651855836400 67817041420040 84771301775050 123303711672800 135634082840080 169542603550100 271268165680160 339085207100200 678170414200400 1356340828400800
- Sum of all divisors σ(n): 3644268601881600
- Sum of proper divisors (its aliquot sum) s(n): 2287927773480800
- 1356340828400800 is an abundant number, because the sum of its proper divisors (2287927773480800) is greater than itself. Its abundance is 931586945080000
Bases of 1356340828400800
- Binary: 1001101000110010101101101010100010101101100101000002
- Hexadecimal: 0x4D195B5456CA0
- Base-36: DCS6DHJPGG
Squares and roots of 1356340828400800
- 1356340828400800 squared (13563408284008002) is 1839660442786968391885440640000
- 1356340828400800 cubed (13563408284008003) is 2495206568945859241728743970270134528512000000
-
The
square root of 1356340828400800 is 36828532.8027169717 -
The
cube root of 1356340828400800 is 110693.7103941345
Scales and comparisons
How big is 1356340828400800?- 1,356,340,828,400,800 seconds is equal to 43,127,442 years, 47 weeks, 14 hours, 26 minutes, 40 seconds.
-
To count from 1 to 1,356,340,828,400,800 would take you about one hundred twenty-nine million, three hundred eighty-two thousand, three hundred twenty-eight 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 1356340828400800 cubic inches would be around 9224.5 feet tall.
Recreational maths with 1356340828400800
- 1356340828400800 backwards is 0080048280436531
- The number of decimal digits it has is: 16
- The sum of 1356340828400800's digits is 52
- More coming soon!
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