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144440203241331 = 3227003159433589
BaseRepresentation
bin100000110101111000011011…
…000000010110011101110011
3200221102100102002222212201100
4200311320123000112131303
5122413002014012210311
61231110525140135443
742265313613101304
oct4065703300263563
9627370362885640
10144440203241331
11420288231aa498
121424958b997583
13627986404a45a
142794d2bd847ab
1511a734b621a56
hex835e1b016773

144440203241331 has 12 divisors (see below), whose sum is σ = 208636625273440. Its totient is φ = 96293110605840.

The previous prime is 144440203241281. The next prime is 144440203241393. The reversal of 144440203241331 is 133142302044441.

144440203241331 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 4 + 0 + 203 + 2 + 413 + 31 = 666.

It is not a de Polignac number, because 144440203241331 - 27 = 144440203241203 is a prime.

It is a super-3 number, since 3×1444402032413313 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144440203241531) 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 11 ways as a sum of consecutive naturals, for example, 27286516 + ... + 32147073.

Almost surely, 2144440203241331 is an apocalyptic number.

144440203241331 is a deficient number, since it is larger than the sum of its proper divisors (64196422032109).

144440203241331 is a wasteful number, since it uses less digits than its factorization.

144440203241331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59703626 (or 59703623 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 144440203241331 its reverse (133142302044441), we get a palindrome (277582505285772).

The spelling of 144440203241331 in words is "one hundred forty-four trillion, four hundred forty billion, two hundred three million, two hundred forty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 270031 810093 2430279 59433589 178300767 534902301 16048911471259 48146734413777 144440203241331