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144556424655441 = 3372175595986009
BaseRepresentation
bin100000110111100100101010…
…010101110111001001010001
3200221211110101210002102211020
4200313210222111313021101
5122421403024202433231
61231240145452310053
742306566650603311
oct4067445225671121
9627743353072736
10144556424655441
114207304315a057
1214268006172329
1362877c6457386
14279a7d5531441
1511aa39e9db396
hex83792a577251

144556424655441 has 16 divisors (see below), whose sum is σ = 197952083011200. Its totient is φ = 93765882849408.

The previous prime is 144556424655403. The next prime is 144556424655463.

144556424655441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 144556424655441 - 225 = 144556391101009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144556424655541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21156045 + ... + 27142053.

It is an arithmetic number, because the mean of its divisors is an integer number (12372005188200).

Almost surely, 2144556424655441 is an apocalyptic number.

It is an amenable number.

144556424655441 is a deficient number, since it is larger than the sum of its proper divisors (53395658355759).

144556424655441 is a wasteful number, since it uses less digits than its factorization.

144556424655441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6203608.

The product of its digits is 184320000, while the sum is 60.

The spelling of 144556424655441 in words is "one hundred forty-four trillion, five hundred fifty-six billion, four hundred twenty-four million, six hundred fifty-five thousand, four hundred forty-one".

Divisors: 1 3 37 111 217559 652677 5986009 8049683 17958027 24149049 221482333 664446999 1302310132031 3906930396093 48185474885147 144556424655441