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144300157297 = 2967127584777
BaseRepresentation
bin1000011001100011110…
…1011010100101110001
3111210110112012111121021
42012120331122211301
54331011320013142
6150142433055441
713265615046022
oct2063075324561
9453415174537
10144300157297
1156219749a4a
1223b719b7581
13107b8737c7a
146dac796c49
153b484d7267
hex2198f5a971

144300157297 has 16 divisors (see below), whose sum is σ = 152697231360. Its totient is φ = 136163922048.

The previous prime is 144300157249. The next prime is 144300157301. The reversal of 144300157297 is 792751003441.

144300157297 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-144300157297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144300157207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45628 + ... + 539149.

It is an arithmetic number, because the mean of its divisors is an integer number (9543576960).

Almost surely, 2144300157297 is an apocalyptic number.

It is an amenable number.

144300157297 is a deficient number, since it is larger than the sum of its proper divisors (8397074063).

144300157297 is a wasteful number, since it uses less digits than its factorization.

144300157297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585000.

The product of its (nonzero) digits is 211680, while the sum is 43.

The spelling of 144300157297 in words is "one hundred forty-four billion, three hundred million, one hundred fifty-seven thousand, two hundred ninety-seven".

Divisors: 1 29 67 127 1943 3683 8509 246761 584777 16958533 39180059 74266679 1136221711 2153733691 4975867493 144300157297