135668490342400

Names of 135668490342400

• Cardinal: 135668490342400 can be written as One hundred thirty-five trillion, six hundred sixty-eight billion, four hundred ninety million, three hundred forty-two thousand, four hundred.

Scientific notation

• Scientific notation: 1.356684903424 × 10¹⁴

Factors of 135668490342400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 1318

Divisors of 135668490342400

• Number of divisors d(n): 468
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 37 40 50 64 74 80 100 128 148 160 181 185 200 256 296 320 362 370 400 512 592 640 724 740 800 905 925 1024 1093 1184 1280 1448 1480 1600 1810 1850 2048 2186 2368 2560 2896 2960 3200 3620 3700 4096 4372 4525 4736 5120 5465 5792 5920 6400 6697 7240 7400 8744 9050 9472 10240 10930 11584 11840 12800 13394 14480 14800 17488 18100 18944 20480 21860 23168 23680 25600 26788 27325 28960 29600 32761 33485 34976 36200 37888 40441 43720 46336 47360 51200 53576 54650 57920 59200 65522 66970 69952 72400 75776 80882 87440 92672 94720 102400 107152 109300 115840 118400 131044 133940 139904 144800 151552 161764 163805 167425 174880 185344 189440 197833 202205 214304 218600 231680 236800 262088 267880 279808 289600 323528 327610 334850 349760 370688 378880 395666 404410 428608 437200 463360 473600 524176 535760 559616 579200 647056 655220 669700 699520 741376 757760 791332 808820 819025 857216 874400 926720 947200 989165 1011025 1048352 1071520 1119232 1158400 1212157 1294112 1310440 1339400 1399040 1582664 1617640 1638050 1714432 1748800 1853440 1894400 1978330 2022050 2096704 2143040 2238464 2316800 2424314 2588224 2620880 2678800 2798080 3165328 3235280 3276100 3428864 3497600 3706880 3788800 3956660 4044100 4193408 4286080 4476928 4633600 4848628 4945825 5176448 5241760 5357600 5596160 6060785 6330656 6470560 6552200 6857728 6995200 7319821 7913320 8088200 8386816 8572160 9267200 9697256 9891650 10352896 10483520 10715200 11192320 12121570 12661312 12941120 13104400 13715456 13990400 14639642 15826640 16176400 16773632 17144320 18534400 19394512 19783300 20705792 20967040 21430400 22384640 24243140 25322624 25882240 26208800 27430912 27980800 29279284 30303925 31653280 32352800 33547264 34288640 35807773 36599105 38789024 39566600 41411584 41934080 42860800 48486280 50645248 51764480 52417600 55961600 58558568 60607850 63306560 64705600 67094528 68577280 71615546 73198210 77578048 79133200 82823168 83868160 85721600 96972560 101290496 103528960 104835200 111923200 117117136 121215700 126613120 129411200 134189056 137154560 143231092 146396420 155156096 158266400 165646336 167736320 171443200 179038865 182995525 193945120 202580992 207057920 209670400 234234272 242431400 253226240 258822400 286462184 292792840 310312192 316532800 335472640 342886400 358077730 365991050 387890240 405161984 414115840 419340800 468468544 484862800 506452480 517644800 572924368 585585680 620624384 633065600 670945280 685772800 716155460 731982100 775780480 810323968 828231680 838681600 895194325 936937088 969725600 1012904960 1035289600 1145848736 1171171360 1241248768 1266131200 1324887601 1432310920 1463964200 1551560960 1677363200 1790388650 1873874176 1939451200 2025809920 2070579200 2291697472 2342342720 2482497536 2532262400 2649775202 2864621840 2927928400 3103121920 3354726400 3580777300 3747748352 3878902400 4051619840 4141158400 4583394944 4684685440 4964995072 5064524800 5299550404 5729243680 5855856800 6206243840 6624438005 7161554600 7495496704 7757804800 9166789888 9369370880 10129049600 10599100808 11458487360 11711713600 12412487680 13248876010 14323109200 14990993408 15515609600 18333579776 18738741760 20258099200 21198201616 22916974720 23423427200 24824975360 26497752020 28646218400 29981986816 31031219200 33122190025 36667159552 37477483520 42396403232 45833949440 46846854400 52995504040 57292436800 62062438400 66244380050 73334319104 74954967040 84792806464 91667898880 93693708800 105991008080 114584873600 124124876800 132488760100 146668638208 149909934080 169585612928 183335797760 187387417600 211982016160 229169747200 264977520200 339171225856 366671595520 374774835200 423964032320 458339494400 529955040400 678342451712 733343191040 749549670400 847928064640 916678988800 1059910080800 1356684903424 1695856129280 1833357977600 2119820161600 2713369806848 3391712258560 3666715955200 4239640323200 5426739613696 6783424517120 8479280646400 13566849034240 16958561292800 27133698068480 33917122585600 67834245171200 135668490342400
• Sum of all divisors σ(n): 347746433578716
• Sum of proper divisors (its aliquot sum) s(n): 212077943236316
• 135668490342400 is an abundant number, because the sum of its proper divisors (212077943236316) is greater than itself. Its abundance is 76409452893916

Bases of 135668490342400

• Binary: 11110110110001111001000001011001001000000000000₂
• Hexadecimal: 0x7B63C82C9000
• Base-36: 1C398SAK1S

Squares and roots of 135668490342400

• 135668490342400 squared (135668490342400²) is 18405939271785882069237760000
• 135668490342400 cubed (135668490342400³) is 2497105994337083830311048370689409024000000
• The square root of 135668490342400 is 11647681.7582899303
• The cube root of 135668490342400 is 51383.8132730597

Scales and comparisons

• 135,668,490,342,400 seconds is equal to 4,313,838 years, 17 weeks, 5 days, 17 hours, 46 minutes, 40 seconds.
• To count from 1 to 135,668,490,342,400 would take you about ten million, seven hundred eighty-four thousand, five hundred ninety-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 135668490342400 cubic inches would be around 4282 feet tall.

Recreational maths with 135668490342400

• 135668490342400 backwards is 004243094866531
• The number of decimal digits it has is: 15
• The sum of 135668490342400's digits is 55
• More coming soon!