138398160784000

Names of 138398160784000

• Cardinal: 138398160784000 can be written as One hundred thirty-eight trillion, three hundred ninety-eight billion, one hundred sixty million, seven hundred eighty-four thousand.

Scientific notation

• Scientific notation: 1.38398160784 × 10¹⁴

Factors of 138398160784000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 17603

Divisors of 138398160784000

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 4 5 8 10 13 16 20 25 26 32 37 40 50 52 64 65 74 80 100 104 125 128 130 148 160 185 200 208 250 260 296 320 325 370 400 416 481 500 520 592 640 650 740 800 832 925 962 1000 1040 1093 1184 1300 1480 1600 1625 1664 1850 1924 2000 2080 2186 2368 2405 2600 2960 3200 3250 3700 3848 4000 4160 4372 4625 4736 4810 5200 5465 5920 6500 7400 7696 8000 8320 8744 9250 9620 10400 10930 11840 12025 13000 14209 14800 15392 16000 16453 17488 18500 19240 20800 21860 23680 24050 26000 27325 28418 29600 30784 32906 34976 37000 38480 40441 41600 43720 48100 52000 54650 56836 59200 60125 61568 65812 69952 71045 74000 76960 80882 82265 87440 96200 104000 109300 113672 118400 120250 131624 136625 139904 142090 148000 153920 161764 164530 174880 192400 202205 208000 213889 218600 227344 240500 263248 273250 284180 296000 307840 323528 329060 349760 355225 384800 404410 411325 427778 437200 454688 481000 525733 526496 546500 568360 592000 608761 647056 658120 699520 710450 769600 808820 822650 855556 874400 909376 962000 1011025 1051466 1052992 1069445 1093000 1136720 1217522 1294112 1316240 1420900 1539200 1617640 1645300 1711112 1748800 1776125 1818752 1924000 2022050 2056625 2102932 2105984 2138890 2186000 2273440 2435044 2588224 2628665 2632480 2841800 3043805 3235280 3290600 3422224 3497600 3552250 3848000 4044100 4113250 4205864 4277780 4372000 4546880 4870088 5055125 5176448 5257330 5264960 5347225 5683600 6087610 6470560 6581200 6844448 7104500 7696000 7913893 8088200 8226500 8411728 8555560 8744000 9093760 9740176 10110250 10514660 10529920 10694450 11367200 12175220 12941120 13143325 13162400 13688896 14209000 15219025 15827786 16176400 16453000 16823456 17111120 17488000 17983129 19480352 20220500 21029320 21388900 22734400 24350440 25882240 26286650 26324800 26736125 27377792 28418000 30438050 31655572 32352800 32906000 33646912 34222240 35966258 38960704 39569465 40441000 42058640 42777800 45468800 48700880 52573300 52649600 53472250 56836000 60876100 63311144 64705600 65716625 65812000 67293824 68444480 71932516 76095125 77921408 79138930 80882000 84117280 85555600 89915645 97401760 105146600 106944500 113672000 121752200 126622288 129411200 131433250 131624000 136888960 143865032 152190250 158277860 161764000 168234560 171111200 179831290 194803520 197847325 210293200 213889000 227344000 233780677 243504400 253244576 262866500 263248000 287730064 304380500 316555720 323528000 336469120 342222400 359662580 389607040 395694650 420586400 427778000 449578225 467561354 487008800 506489152 525733000 575460128 608761000 633111440 647056000 665375773 684444800 719325160 791389300 841172800 855556000 899156450 935122708 974017600 989236625 1012978304 1051466000 1150920256 1168903385 1217522000 1266222880 1330751546 1438650320 1582778600 1682345600 1711112000 1798312900 1870245416 1948035200 1978473250 2102932000 2247891125 2301840512 2337806770 2435044000 2532445760 2661503092 2877300640 3165557200 3326878865 3422224000 3596625800 3740490832 3956946500 4205864000 4495782250 4675613540 4870088000 5064891520 5323006184 5754601280 5844516925 6331114400 6653757730 7193251600 7480981664 7913893000 8411728000 8649885049 8991564500 9351227080 9740176000 10646012368 11509202560 11689033850 12662228800 13307515460 14386503200 14961963328 15827786000 16634394325 17299770098 17983129000 18702454160 21292024736 23378067700 25324457600 26615030920 28773006400 29222584625 29923926656 31655572000 33268788650 34599540196 35966258000 37404908320 42584049472 43249425245 46756135400 53230061840 57546012800 58445169250 63311144000 66537577300 69199080392 71932516000 74809816640 83171971625 85168098944 86498850490 93512270800 106460123680 116890338500 126622288000 133075154600 138398160784 143865032000 149619633280 166343943250 172997700980 187024541600 212920247360 216247126225 233780677000 266150309200 276796321568 287730064000 332687886500 345995401960 374049083200 425840494720 432494252450 467561354000 532300618400 553592643136 665375773000 691990803920 748098166400 864988504900 935122708000 1064601236800 1081235631125 1107185286272 1330751546000 1383981607840 1729977009800 1870245416000 2129202473600 2162471262250 2661503092000 2767963215680 3459954019600 3740490832000 4324942524500 5323006184000 5535926431360 6919908039200 8649885049000 10646012368000 13839816078400 17299770098000 27679632156800 34599540196000 69199080392000 138398160784000
• Sum of all divisors σ(n): 380947586160960
• Sum of proper divisors (its aliquot sum) s(n): 242549425376960
• 138398160784000 is an abundant number, because the sum of its proper divisors (242549425376960) is greater than itself. Its abundance is 104151264592960

Bases of 138398160784000

• Binary: 11111011101111101010101001101100000101010000000₂
• Hexadecimal: 0x7DDF55360A80
• Base-36: 1D238JLGN4

Squares and roots of 138398160784000

• 138398160784000 squared (138398160784000²) is 19154050908393915494656000000
• 138398160784000 cubed (138398160784000³) is 2650885417284822371836709980770304000000000
• The square root of 138398160784000 is 11764274.7665973869
• The cube root of 138398160784000 is 51726.1442049943

Scales and comparisons

• 138,398,160,784,000 seconds is equal to 4,400,633 years, 21 weeks, 5 days, 15 hours, 6 minutes, 40 seconds.
• To count from 1 to 138,398,160,784,000 would take you about eleven million, one thousand, five hundred eighty-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 138398160784000 cubic inches would be around 4310.5 feet tall.

Recreational maths with 138398160784000

• 138398160784000 backwards is 000487061893831
• The number of decimal digits it has is: 15
• The sum of 138398160784000's digits is 58
• More coming soon!