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144100403111401 = 112321571915231579
BaseRepresentation
bin100000110000111011111101…
…010101101110010111101001
3200220012212022212002202122221
4200300323331111232113221
5122341420111144031101
61230250451124114041
742231624215461462
oct4060737525562751
9626185285082587
10144100403111401
1141a07701959530
12141b3759535921
1362537c06a9409
1427826d5021d69
15119d5aecabaa1
hex830efd56e5e9

144100403111401 has 96 divisors (see below), whose sum is σ = 166668323512320. Its totient is φ = 123539607734400.

The previous prime is 144100403111387. The next prime is 144100403111449. The reversal of 144100403111401 is 104111304001441.

It is a happy number.

It is not a de Polignac number, because 144100403111401 - 29 = 144100403110889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144100403111461) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91260545830 + ... + 91260547408.

It is an arithmetic number, because the mean of its divisors is an integer number (1736128369920).

Almost surely, 2144100403111401 is an apocalyptic number.

144100403111401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144100403111401 is a deficient number, since it is larger than the sum of its proper divisors (22567920400919).

144100403111401 is a wasteful number, since it uses less digits than its factorization.

144100403111401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 144100403111401 its reverse (104111304001441), we get a palindrome (248211707112842).

The spelling of 144100403111401 in words is "one hundred forty-four trillion, one hundred billion, four hundred three million, one hundred eleven thousand, four hundred one".

Divisors: 1 11 23 157 191 253 523 529 1579 1727 2101 3611 4393 5753 5819 12029 17369 29987 36317 39721 48323 82111 83053 99893 101039 132319 247903 276667 301589 329857 399487 689701 825817 835291 903221 913583 1098823 1111429 1888553 2297539 2726933 3043337 3317479 5701769 6936547 7586711 9083987 9188201 15683201 15863123 18993791 20774083 25272929 43436719 47349473 52843397 62719459 76302017 129653269 131140687 157731047 159540581 172515211 174494353 208931701 360713623 436857193 477803909 520844203 581277367 1089037879 1426185959 1442547557 1735041517 1754946391 2982025187 3627814081 3967849853 4805429123 8296413329 11979416669 24763774379 25047871217 32802277057 39905954891 68586579301 83439723863 91260546619 272401518169 275526583387 569566810717 754452372311 917836962493 6265234917887 13100036646491 144100403111401