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144948904095 = 3523420141751
BaseRepresentation
bin1000011011111110100…
…0001100000010011111
3111212010201221020220110
42012333220030002133
54333323404412340
6150331050021103
713320653233062
oct2067750140237
9455121836813
10144948904095
1156521972026
1224113117793
131088cc70708
1470309cc8d9
153b85433680
hex21bfa0c09f

144948904095 has 16 divisors (see below), whose sum is σ = 242001649152. Its totient is φ = 73944948000.

The previous prime is 144948903997. The next prime is 144948904097. The reversal of 144948904095 is 590409849441.

It is a happy number.

144948904095 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 144948904095 - 28 = 144948903839 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144948904097) 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, 210070531 + ... + 210071220.

It is an arithmetic number, because the mean of its divisors is an integer number (15125103072).

Almost surely, 2144948904095 is an apocalyptic number.

144948904095 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

144948904095 is a deficient number, since it is larger than the sum of its proper divisors (97052745057).

144948904095 is a wasteful number, since it uses less digits than its factorization.

144948904095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420141782.

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 144948904095 in words is "one hundred forty-four billion, nine hundred forty-eight million, nine hundred four thousand, ninety-five".

Divisors: 1 3 5 15 23 69 115 345 420141751 1260425253 2100708755 6302126265 9663260273 28989780819 48316301365 144948904095