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144414776977 = 17101451318637
BaseRepresentation
bin1000011001111111001…
…0101001111010010001
3111210202111212210020121
42012133302221322101
54331230140330402
6150202045510241
713301506231132
oct2063762517221
9453674783217
10144414776977
1156278416459
1223ba4272381
13108063c9c73
146dbdab1c89
153b535c8837
hex219fca9e91

144414776977 has 16 divisors (see below), whose sum is σ = 154466227152. Its totient is φ = 134537011200.

The previous prime is 144414776951. The next prime is 144414777007. The reversal of 144414776977 is 779677414441.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 13290400656 + 131124376321 = 115284^2 + 362111^2 .

It is a cyclic number.

It is not a de Polignac number, because 144414776977 - 235 = 110055038609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144414776477) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7739503 + ... + 7758139.

It is an arithmetic number, because the mean of its divisors is an integer number (9654139197).

Almost surely, 2144414776977 is an apocalyptic number.

144414776977 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

144414776977 is a deficient number, since it is larger than the sum of its proper divisors (10051450175).

144414776977 is a wasteful number, since it uses less digits than its factorization.

144414776977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23268.

The product of its digits is 33191424, while the sum is 61.

The spelling of 144414776977 in words is "one hundred forty-four billion, four hundred fourteen million, seven hundred seventy-six thousand, nine hundred seventy-seven".

Divisors: 1 17 101 1717 4513 18637 76721 316829 455813 1882337 7748821 31999729 84108781 1429849277 8494986881 144414776977