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14226155162241 = 3111941553396163
BaseRepresentation
bin1100111100000100100011…
…1011001100101010000001
31212101000012012202112202120
43033001020323030222001
53331040131210142431
650131223325034453
72665543246456641
oct317011073145201
955330165675676
1014226155162241
114595307794350
12171915a6b5a29
137c269cc02289
1437279a0b4521
1519a0c5675196
hexcf048ecca81

14226155162241 has 32 divisors (see below), whose sum is σ = 22312933332480. Its totient is φ = 7968904732800.

The previous prime is 14226155162239. The next prime is 14226155162243.

14226155162241 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (14226155162239) and next prime (14226155162243).

It is not a de Polignac number, because 14226155162241 - 21 = 14226155162239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14226155162193 and 14226155162202.

It is not an unprimeable number, because it can be changed into a prime (14226155162243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276672375 + ... + 276723788.

It is an arithmetic number, because the mean of its divisors is an integer number (697279166640).

Almost surely, 214226155162241 is an apocalyptic number.

14226155162241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14226155162241 is a deficient number, since it is larger than the sum of its proper divisors (8086778170239).

14226155162241 is a wasteful number, since it uses less digits than its factorization.

14226155162241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553396237.

The product of its digits is 230400, while the sum is 42.

It can be divided in two parts, 1422615 and 5162241, that added together give a palindrome (6584856).

The spelling of 14226155162241 in words is "fourteen trillion, two hundred twenty-six billion, one hundred fifty-five million, one hundred sixty-two thousand, two hundred forty-one".

Divisors: 1 3 11 19 33 41 57 123 209 451 627 779 1353 2337 8569 25707 553396163 1660188489 6087357793 10514527097 18262073379 22689242683 31543581291 68067728049 115659798067 249581669513 346979394201 431095610977 748745008539 1293286832931 4742051720747 14226155162241