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144412413240033 = 3317564155774507
BaseRepresentation
bin100000110101011110100010…
…100101111010001011100001
3200221022200200101012112122000
4200311132202211322023201
5122412023110242140113
61231050051412034213
742263311140014331
oct4065364245721341
9627280611175560
10144412413240033
1142017a624a5174
1214244115002969
1362770557a7ac3
14279385325b0c1
1511a6771a3c373
hex8357a297a2e1

144412413240033 has 32 divisors (see below), whose sum is σ = 226569437377920. Its totient is φ = 90595645585920.

The previous prime is 144412413240013. The next prime is 144412413240047. The reversal of 144412413240033 is 330042314214441.

144412413240033 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 1 + 241 + 3 + 2 + 400 + 3 + 3 = 666.

It is not a de Polignac number, because 144412413240033 - 238 = 144137535333089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 144412413240033.

It is not an unprimeable number, because it can be changed into a prime (144412413240013) 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 31 ways as a sum of consecutive naturals, for example, 25298035 + ... + 30476472.

It is an arithmetic number, because the mean of its divisors is an integer number (7080294918060).

Almost surely, 2144412413240033 is an apocalyptic number.

It is an amenable number.

144412413240033 is a deficient number, since it is larger than the sum of its proper divisors (82157024137887).

144412413240033 is a wasteful number, since it uses less digits than its factorization.

144412413240033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55780174 (or 55780168 counting only the distinct ones).

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

Adding to 144412413240033 its reverse (330042314214441), we get a palindrome (474454727454474).

The spelling of 144412413240033 in words is "one hundred forty-four trillion, four hundred twelve billion, four hundred thirteen million, two hundred forty thousand, thirty-three".

Divisors: 1 3 9 17 27 51 153 459 5641 16923 50769 95897 152307 287691 863073 2589219 55774507 167323521 501970563 948166619 1505911689 2844499857 8533499571 25600498713 314623993987 943871981961 2831615945883 5348607897779 8494847837649 16045823693337 48137471080011 144412413240033