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24144133144142 = 21117893019240263
BaseRepresentation
bin1010111110101011111100…
…11110101011111001001110
310011111011020011002120012202
411133111332132223321032
511131034141041103032
6123203354525401502
75041233061365164
oct537257636537116
9104434204076182
1024144133144142
1177695187a6150
12285b365409292
131061a2203c77b
145d6821abb234
152bd09e837d62
hex15f57e7abe4e

24144133144142 has 64 divisors (see below), whose sum is σ = 42316833369600. Its totient is φ = 10209558881280.

The previous prime is 24144133144141. The next prime is 24144133144189.

24144133144142 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24144133144096 and 24144133144105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24144133144141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100370303 + ... + 100610565.

It is an arithmetic number, because the mean of its divisors is an integer number (661200521400).

Almost surely, 224144133144142 is an apocalyptic number.

24144133144142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24144133144142 is a deficient number, since it is larger than the sum of its proper divisors (18172700225458).

24144133144142 is a wasteful number, since it uses less digits than its factorization.

24144133144142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243401.

The product of its digits is 147456, while the sum is 38.

It can be divided in two parts, 2414413 and 3144142, that added together give a palindrome (5558555).

The spelling of 24144133144142 in words is "twenty-four trillion, one hundred forty-four billion, one hundred thirty-three million, one hundred forty-four thousand, one hundred forty-two".

Divisors: 1 2 11 17 22 34 89 178 187 374 979 1513 1958 3019 3026 6038 16643 33209 33286 51323 66418 102646 240263 268691 480526 537382 564553 1129106 2642893 2955601 4084471 4567747 5285786 5911202 8168942 9135494 21383407 42766814 44929181 50245217 89858362 100490434 235217477 363517919 470434954 725353997 727035838 1450707994 3998697109 7978893967 7997394218 12331017949 15957787934 24662035898 64556505733 129113011466 135641197439 271282394878 710121563063 1097460597461 1420243126126 2194921194922 12072066572071 24144133144142