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144313000041 = 3735338035119
BaseRepresentation
bin1000011001100110111…
…0011010000001101001
3111210111102100222112110
42012121232122001221
54331023112000131
6150144012232533
713266132155310
oct2063156320151
9453442328473
10144313000041
1156225a20991
1223b7616b749
13107bb2b3722
146db037b277
153b496c2646
hex2199b9a069

144313000041 has 32 divisors (see below), whose sum is σ = 220629565440. Its totient is φ = 82193278464.

The previous prime is 144313000037. The next prime is 144313000081. The reversal of 144313000041 is 140000313441.

It is not a de Polignac number, because 144313000041 - 22 = 144313000037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 144312999981 and 144313000017.

It is not an unprimeable number, because it can be changed into a prime (144313000021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28189080 + ... + 28194198.

It is an arithmetic number, because the mean of its divisors is an integer number (6894673920).

Almost surely, 2144313000041 is an apocalyptic number.

It is an amenable number.

144313000041 is a deficient number, since it is larger than the sum of its proper divisors (76316565399).

144313000041 is a wasteful number, since it uses less digits than its factorization.

144313000041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9285.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 144313000041 its reverse (140000313441), we get a palindrome (284313313482).

The spelling of 144313000041 in words is "one hundred forty-four billion, three hundred thirteen million, forty-one", and thus it is an aban number.

Divisors: 1 3 7 21 353 1059 2471 3803 5119 7413 11409 15357 26621 35833 79863 107499 1342459 1807007 4027377 5421021 9397213 12649049 19467557 28191639 37947147 58402671 136272899 408818697 6872047621 20616142863 48104333347 144313000041