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144135525531441 = 3371298518248031
BaseRepresentation
bin100000110001011100101010…
…110011000111111100110001
3200220100012222121010120022210
4200301130222303013330301
5122343004024014001231
61230314540223322333
742234306455225523
oct4061345263077461
9626305877116283
10144135525531441
1141a20595614554
12141ba51ba503a9
136256bca093692
1427842a78b7a13
15119e46846ea46
hex83172acc7f31

144135525531441 has 8 divisors (see below), whose sum is σ = 197374773700864. Its totient is φ = 93493313858160.

The previous prime is 144135525531433. The next prime is 144135525531497.

It is a happy number.

144135525531441 is nontrivially palindromic in base 10.

144135525531441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 144135525531441 - 23 = 144135525531433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144135525531401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 649259123905 + ... + 649259124126.

It is an arithmetic number, because the mean of its divisors is an integer number (24671846712608).

Almost surely, 2144135525531441 is an apocalyptic number.

It is an amenable number.

144135525531441 is a deficient number, since it is larger than the sum of its proper divisors (53239248169423).

144135525531441 is a wasteful number, since it uses less digits than its factorization.

144135525531441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298518248071.

The product of its digits is 2880000, while the sum is 48.

The spelling of 144135525531441 in words is "one hundred forty-four trillion, one hundred thirty-five billion, five hundred twenty-five million, five hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 3 37 111 1298518248031 3895554744093 48045175177147 144135525531441