54135273774400

Names of 54135273774400

• Cardinal: 54135273774400 can be written as Fifty-four trillion, one hundred thirty-five billion, two hundred seventy-three million, seven hundred seventy-four thousand, four hundred.

Scientific notation

• Scientific notation: 5.41352737744 × 10¹³

Factors of 54135273774400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 953

Divisors of 54135273774400

• Number of divisors d(n): 756
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 49 50 52 56 64 65 70 73 80 91 98 100 104 112 130 140 146 160 175 182 196 200 208 224 245 260 280 292 320 325 350 364 365 392 400 416 448 455 490 511 520 560 584 637 650 700 728 730 784 800 832 853 910 949 980 1022 1040 1120 1168 1225 1274 1300 1400 1456 1460 1568 1600 1706 1820 1825 1898 1960 2044 2080 2240 2275 2336 2450 2548 2555 2600 2800 2912 2920 3136 3185 3412 3577 3640 3650 3796 3920 4088 4160 4265 4550 4672 4745 4900 5096 5110 5200 5600 5824 5840 5971 6370 6643 6824 7154 7280 7300 7592 7840 8176 8530 9100 9490 9800 10192 10220 10400 11089 11200 11680 11942 12740 12775 13286 13648 14308 14560 14600 15184 15680 15925 16352 17060 17885 18200 18980 19600 20384 20440 20800 21325 22178 23360 23725 23884 25480 25550 26572 27296 28616 29120 29200 29855 30368 31850 32704 33215 34120 35770 36400 37960 39200 40768 40880 41797 42650 44356 46501 47450 47768 50960 51100 53144 54592 55445 57232 58400 59710 60736 62269 63700 66430 68240 71540 72800 75920 77623 78400 81760 83594 85300 88712 89425 93002 94900 95536 101920 102200 106288 110890 114464 116800 119420 124538 127400 132860 136480 143080 145600 149275 151840 155246 163520 166075 167188 170600 177424 178850 186004 189800 191072 203840 204400 208985 212576 221780 228928 232505 238840 249076 254800 265720 272960 277225 286160 298550 303680 310492 311345 332150 334376 341200 354848 357700 372008 379600 382144 388115 408800 417970 425152 435883 443560 465010 477680 498152 509600 531440 543361 554450 572320 597100 620984 622690 664300 668752 682400 709696 715400 727609 744016 759200 776230 809497 817600 835940 871766 887120 930020 955360 996304 1019200 1044925 1062880 1086722 1108900 1144640 1162525 1194200 1241968 1245380 1328600 1337504 1364800 1430800 1455218 1488032 1518400 1552460 1556725 1618994 1671880 1743532 1774240 1860040 1910720 1940575 1992608 2089850 2125760 2173444 2179415 2217800 2325050 2388400 2483936 2490760 2657200 2675008 2716805 2861600 2910436 2976064 3051181 3104920 3113450 3237988 3343760 3487064 3548480 3638045 3720080 3881150 3985216 4047485 4179700 4346888 4358830 4435600 4650100 4776800 4967872 4981520 5093263 5314400 5433610 5666479 5723200 5820872 6102362 6209840 6226900 6475976 6687520 6974128 7276090 7440160 7762300 8094970 8359400 8693776 8717660 8871200 9300200 9458917 9553600 9963040 10186526 10628800 10867220 10897075 11332958 11641744 12204724 12419680 12453800 12951952 13375040 13584025 13948256 14552180 14880320 15255905 15524600 16189940 16718800 17387552 17435320 17742400 18190225 18600400 18917834 19926080 20237425 20373052 21734440 21794150 22665916 23283488 24409448 24839360 24907600 25466315 25903904 27168050 27896512 28332395 29104360 30511810 31049200 32379880 33437600 34775104 34870640 35652841 36380450 37200800 37835668 39665353 40474850 40746104 43468880 43588300 45331832 46566976 47294585 48818896 49815200 50932630 51807808 53115457 54336100 56664790 58208720 61023620 62098400 64759760 66212419 66875200 69741280 71305682 72760900 74401600 75671336 76279525 79330706 80949700 81492208 86937760 87176600 90663664 94589170 97637792 99630400 101865260 106230914 108672200 113329580 116417440 122047240 124196800 127331575 129519520 132424838 139482560 141661975 142611364 145521800 151342672 152559050 158661412 161899400 162984416 173875520 174353200 178264205 181327328 189178340 195275584 198326765 203730520 212461828 217344400 226659160 232834880 236472925 244094480 254663150 259039040 264849676 265577285 283323950 285222728 291043600 302685344 305118100 317322824 323798800 325968832 331062095 348706400 356528410 362654656 371808199 378356680 396653530 407461040 424923656 434688800 453318320 463486933 472945850 488188960 509326300 529699352 531154570 566647900 570445456 582087200 605370688 610236200 634645648 647597600 662124190 690500941 697412800 713056820 743616398 756713360 793307060 814922080 849847312 869377600 891321025 906636640 926973866 945891700 976377920 991633825 1018652600 1059398704 1062309140 1133295800 1140890912 1164174400 1220472400 1269291296 1295195200 1324248380 1327886425 1381001882 1426113640 1487232796 1513426720 1586614120 1629844160 1655310475 1699694624 1782642050 1813273280 1853947732 1859040995 1891783400 1983267650 2037305200 2118797408 2124618280 2266591600 2281781824 2317434665 2440944800 2538582592 2602657393 2648496760 2655772850 2762003764 2852227280 2974465592 3026853440 3173228240 3310620950 3399389248 3452504705 3565284100 3707895464 3718081990 3783566800 3966535300 4074610400 4237594816 4249236560 4533183200 4634869330 4833506587 4881889600 5205314786 5296993520 5311545700 5524007528 5704454560 5948931184 6346456480 6621241900 6905009410 7130568200 7415790928 7436163980 7567133600 7933070600 8149220800 8498473120 9066366400 9269738660 9295204975 9667013174 10410629572 10593987040 10623091400 11048015056 11408909120 11587173325 11897862368 12692912960 13013286965 13242483800 13810018820 14261136400 14831581856 14872327960 15134267200 15866141200 16996946240 17262523525 18539477320 18590409950 19334026348 20821259144 21187974080 21246182800 22096030112 23174346650 23795724736 24167532935 26026573930 26484967600 27620037640 28522272800 29663163712 29744655920 31732282400 33834546109 34525047050 37078954640 37180819900 38668052696 41642518288 42492365600 44192060224 46348693300 48335065870 52053147860 52969935200 55240075280 57044545600 59489311840 63464564800 65066434825 67669092218 69050094100 74157909280 74361639800 77336105392 83285036576 84984731200 92697386600 96670131740 104106295720 105939870400 110480150560 118978623680 120837664675 130132869650 135338184436 138100188200 148315818560 148723279600 154672210784 166570073152 169172730545 185394773200 193340263480 208212591440 220960301120 241675329350 260265739300 270676368872 276200376400 297446559200 309344421568 338345461090 370789546400 386680526960 416425182880 483350658700 520531478600 541352737744 552400752800 594893118400 676690922180 741579092800 773361053920 832850365760 845863652725 966701317400 1041062957200 1082705475488 1104801505600 1353381844360 1546722107840 1691727305450 1933402634800 2082125914400 2165410950976 2706763688720 3383454610900 3866805269600 4164251828800 5413527377440 6766909221800 7733610539200 10827054754880 13533818443600 27067636887200 54135273774400
• Sum of all divisors σ(n): 169358704888212
• Sum of proper divisors (its aliquot sum) s(n): 115223431113812
• 54135273774400 is an abundant number, because the sum of its proper divisors (115223431113812) is greater than itself. Its abundance is 61088157339412

Bases of 54135273774400

• Binary: 1100010011110001011001110000110101110101000000₂
• Hexadecimal: 0x313C59C35D40
• Base-36: J6TEG9V0G

Squares and roots of 54135273774400

• 54135273774400 squared (54135273774400²) is 2930627866629240422095360000
• 54135273774400 cubed (54135273774400³) is 158650341890859739950451328503926784000000
• The square root of 54135273774400 is 7357667.6857819559
• The cube root of 54135273774400 is 37829.1670814769

Scales and comparisons

• 54,135,273,774,400 seconds is equal to 1,721,334 years, 13 weeks, 1 day, 16 hours, 26 minutes, 40 seconds.
• To count from 1 to 54,135,273,774,400 would take you about four million, three hundred three thousand, three hundred thirty-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 54135273774400 cubic inches would be around 3152.4 feet tall.

Recreational maths with 54135273774400

• 54135273774400 backwards is 00447737253145
• 54135273774400 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 54135273774400's digits is 52
• More coming soon!