13742132073984

Names of 13742132073984

• Cardinal: 13742132073984 can be written as Thirteen trillion, seven hundred forty-two billion, one hundred thirty-two million, seventy-three thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 1.3742132073984 × 10¹³

Factors of 13742132073984

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 815

Divisors of 13742132073984

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 82 96 108 123 128 144 164 192 216 246 256 288 328 369 384 432 492 512 576 656 738 768 769 864 984 1107 1152 1312 1476 1536 1538 1681 1728 1968 2214 2304 2307 2624 2952 3076 3362 3456 3936 4428 4608 4614 5043 5248 5904 6152 6724 6912 6921 7872 8856 9228 10086 10496 11808 12304 13448 13824 13842 15129 15744 17712 18456 20172 20763 20992 23616 24608 26896 27684 30258 31488 31529 35424 36912 40344 41526 45387 47232 49216 53792 55368 60516 62976 63058 70848 73824 80688 83052 90774 94464 94587 98432 107584 110736 121032 126116 141696 147648 161376 166104 181548 188928 189174 196864 215168 221472 242064 252232 283392 283761 295296 322752 332208 363096 378348 393728 430336 442944 484128 504464 566784 567522 590592 591361 645504 664416 726192 756696 851283 860672 885888 968256 1008928 1135044 1181184 1182722 1291008 1292689 1328832 1452384 1513392 1702566 1771776 1774083 1936512 2017856 2270088 2365444 2582016 2585378 2657664 2904768 3026784 3405132 3543552 3548166 3873024 3878067 4035712 4540176 4730888 5170756 5315328 5322249 5809536 6053568 6810264 7096332 7746048 7756134 8071424 9080352 9461776 10341512 10630656 10644498 11619072 11634201 12107136 13620528 14192664 15512268 15966747 16142848 18160704 18923552 20683024 21288996 23238144 23268402 24214272 24245801 27241056 28385328 31024536 31933494 34902603 36321408 37847104 41366048 42577992 46536804 48428544 48491602 54482112 56770656 62049072 63866988 69805206 72642816 72737403 75694208 82732096 85155984 93073608 96983204 108964224 113541312 124098144 127733976 139610412 145285632 145474806 151388416 165464192 170311968 186147216 193966408 217928448 218212209 227082624 248196288 255467952 279220824 290949612 302776832 330928384 340623936 372294432 387932816 435856896 436424418 454165248 496392576 510935904 558441648 581899224 654636627 661856768 681247872 744588864 775865632 872848836 908330496 992785152 994077841 1021871808 1116883296 1163798448 1309273254 1362495744 1489177728 1551731264 1745697672 1985570304 1988155682 2043743616 2233766592 2327596896 2618546508 2724991488 2978355456 2982233523 3103462528 3491395344 3976311364 4087487232 4467533184 4655193792 5237093016 5956710912 5964467046 6206925056 6982790688 7952622728 8174974464 8935066368 8946700569 9310387584 10474186032 11928934092 12413850112 13965581376 15905245456 17870132736 17893401138 18620775168 20948372064 23857868184 26840101707 27931162752 31810490912 35786802276 37241550336 41896744128 47715736368 53680203414 55862325504 63620981824 71573604552 83793488256 95431472736 107360406828 111724651008 127241963648 143147209104 167586976512 190862945472 214720813656 254483927296 286294418208 335173953024 381725890944 429441627312 508967854592 572588836416 763451781888 858883254624 1145177672832 1526903563776 1717766509248 2290355345664 3435533018496 4580710691328 6871066036992 13742132073984
• Sum of all divisors σ(n): 41748290895960
• Sum of proper divisors (its aliquot sum) s(n): 28006158821976
• 13742132073984 is an abundant number, because the sum of its proper divisors (28006158821976) is greater than itself. Its abundance is 14264026747992

Bases of 13742132073984

• Binary: 11000111111110010110111001101001011000000000₂
• Hexadecimal: 0xC7F96E69600
• Base-36: 4VD1QMIO0

Squares and roots of 13742132073984

• 13742132073984 squared (13742132073984²) is 188846193938819793249632256
• 13742132073984 cubed (13742132073984³) is 2595149338776458335418798997190584827904
• The square root of 13742132073984 is 3707038.1808101195
• The cube root of 13742132073984 is 23952.5288938275

Scales and comparisons

• 13,742,132,073,984 seconds is equal to 436,957 years, 15 weeks, 1 day, 13 hours, 26 minutes, 24 seconds.
• To count from 1 to 13,742,132,073,984 would take you about one million, ninety-two thousand, three hundred ninety-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 13742132073984 cubic inches would be around 1996 feet tall.

Recreational maths with 13742132073984

• 13742132073984 backwards is 48937023124731
• 13742132073984 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13742132073984's digits is 54
• More coming soon!