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144259167997 = 72231935091303
BaseRepresentation
bin1000011001011010000…
…1000011011011111101
3111210100200002000212001
42012112201003123331
54330420321333442
6150134410342301
713264606460500
oct2062641033375
9453320060761
10144259167997
11561a85a309a
1223b6012a991
13107b00b6049
146da7167137
153b44adc2b7
hex21968436fd

144259167997 has 48 divisors (see below), whose sum is σ = 176496295680. Its totient is φ = 117340489728.

The previous prime is 144259167989. The next prime is 144259168033. The reversal of 144259167997 is 799761952441.

It is a happy number.

144259167997 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144259167997 - 23 = 144259167989 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144259167917) 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 47 ways as a sum of consecutive naturals, for example, 110712448 + ... + 110713750.

It is an arithmetic number, because the mean of its divisors is an integer number (3677006160).

Almost surely, 2144259167997 is an apocalyptic number.

It is an amenable number.

144259167997 is a deficient number, since it is larger than the sum of its proper divisors (32237127683).

144259167997 is a wasteful number, since it uses less digits than its factorization.

144259167997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2035 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 64.

The spelling of 144259167997 in words is "one hundred forty-four billion, two hundred fifty-nine million, one hundred sixty-seven thousand, nine hundred ninety-seven".

Divisors: 1 7 23 49 161 193 509 1127 1303 1351 3563 4439 9121 9457 11707 24941 29969 31073 63847 81949 98237 209783 217511 251479 573643 663227 687659 1468481 1760353 2259451 4642589 4813613 5784017 12322471 15254221 15816157 32498123 40488119 106779547 110713099 128002811 283416833 747456829 896019677 2944064653 6272137739 20608452571 144259167997