122137619648141952

Names of 122137619648141952

• Cardinal: 122137619648141952 can be written as One hundred twenty-two quadrillion, one hundred thirty-seven trillion, six hundred nineteen billion, six hundred forty-eight million, one hundred forty-one thousand, nine hundred fifty-two.

Scientific notation

• Scientific notation: 1.22137619648141952 × 10¹⁷

Factors of 122137619648141952

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 21509888358

Divisors of 122137619648141952

• Number of divisors d(n): 256
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 53 54 62 64 72 93 96 106 108 124 128 144 159 186 192 212 216 248 279 288 318 372 384 424 432 477 496 558 576 636 744 837 848 864 954 992 1116 1152 1272 1431 1488 1643 1674 1696 1728 1908 1984 2232 2544 2862 2976 3286 3348 3392 3456 3816 3968 4464 4929 5088 5724 5952 6572 6696 6784 7632 8928 9858 10176 11448 11904 13144 13392 14787 15264 17856 19716 20352 22896 26288 26784 29574 30528 35712 39432 44361 45792 52576 53568 59148 61056 78864 88722 91584 105152 107136 118296 157728 177444 183168 210304 236592 315456 354888 473184 630912 709776 946368 1419552 1892736 2839104 5678208 21509888269 43019776538 64529664807 86039553076 129059329614 172079106152 193588994421 258118659228 344158212304 387177988842 516237318456 580766983263 666806536339 688316424608 774355977684 1032474636912 1140024078257 1161533966526 1333613072678 1376632849216 1548711955368 2000419609017 2064949273824 2280048156514 2323067933052 2667226145356 2753265698432 3097423910736 3420072234771 4000839218034 4129898547648 4560096313028 4646135866104 5334452290712 6001258827051 6194847821472 6840144469542 8001678436068 8259797095296 9120192626056 9292271732208 10260216704313 10668904581424 12002517654102 12389695642944 13680288939084 16003356872136 18003776481153 18240385252112 18584543464416 20520433408626 21337809162848 24005035308204 24779391285888 27360577878168 30780650112939 32006713744272 35340746425967 36007552962306 36480770504224 37169086928832 41040866817252 42675618325696 48010070616408 54721155756336 61561300225878 64013427488544 70681492851934 72015105924612 72961541008448 74338173857664 82081733634504 85351236651392 96020141232816 106022239277901 109442311512672 123122600451756 128026854977088 141362985703868 144030211849224 145923082016896 164163467269008 192040282465632 212044478555802 218884623025344 246245200903512 256053709954176 282725971407736 288060423698448 318066717833703 328326934538016 384080564931264 424088957111604 437769246050688 492490401807024 565451942815472 576120847396896 636133435667406 656653869076032 768161129862528 848177914223208 954200153501109 984980803614048 1130903885630944 1152241694793792 1272266871334812 1313307738152064 1696355828446416 1908400307002218 1969961607228096 2261807771261888 2304483389587584 2544533742669624 3392711656892832 3816800614004436 3939923214456192 4523615542523776 5089067485339248 6785423313785664 7633601228008872 10178134970678496 13570846627571328 15267202456017744 20356269941356992 30534404912035488 40712539882713984 61068809824070976 122137619648141952
• Sum of all divisors σ(n): 379124686691712000
• Sum of proper divisors (its aliquot sum) s(n): 256987067043570048
• 122137619648141952 is an abundant number, because the sum of its proper divisors (256987067043570048) is greater than itself. Its abundance is 134849447395428096

Bases of 122137619648141952

• Binary: 110110001111010111000010010011000110101101101101010000000₂
• Hexadecimal: 0x1B1EB8498D6DA80
• Base-36: XEM67VAM5C0

Squares and roots of 122137619648141952

• 122137619648141952 squared (122137619648141952²) is 14917598133314191002672565942370304
• 122137619648141952 cubed (122137619648141952³) is 1821999926870561041255465826594634253602784341393408
• The square root of 122137619648141952 is 349481930.3599857821
• The cube root of 122137619648141952 is 496153.9850550801

Scales and comparisons

• 122,137,619,648,141,952 seconds is equal to 3,883,598,508 years, 18 weeks, 16 hours, 19 minutes, 12 seconds.
• To count from 1 to 122,137,619,648,141,952 would take you about eleven billion, six hundred fifty million, seven hundred ninety-five thousand, five hundred twenty-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 122137619648141952 cubic inches would be around 41346.2 feet tall.

Recreational maths with 122137619648141952

• 122137619648141952 backwards is 259141846916731221
• 122137619648141952 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 122137619648141952's digits is 72
• More coming soon!