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144736101 = 3227758057
BaseRepresentation
bin10001010000001…
…11111101100101
3101002100100121100
420220013331211
5244023023401
622210110313
73405144066
oct1050077545
9332310540
10144736101
1174777414
124057b399
1323ca7c83
141531856d
15ca8eb86
hex8a07f65

144736101 has 12 divisors (see below), whose sum is σ = 209821612. Its totient is φ = 96140736.

The previous prime is 144736099. The next prime is 144736139. The reversal of 144736101 is 101637441.

It is a happy number.

144736101 is a `hidden beast` number, since 1 + 4 + 47 + 3 + 610 + 1 = 666.

144736101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 44756100 + 99980001 = 6690^2 + 9999^2 .

It is not a de Polignac number, because 144736101 - 21 = 144736099 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 (144736301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26536 + ... + 31521.

Almost surely, 2144736101 is an apocalyptic number.

It is an amenable number.

144736101 is a deficient number, since it is larger than the sum of its proper divisors (65085511).

144736101 is a wasteful number, since it uses less digits than its factorization.

144736101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58340 (or 58337 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 144736101 is about 12030.6317789217. The cubic root of 144736101 is about 525.0398772431.

The spelling of 144736101 in words is "one hundred forty-four million, seven hundred thirty-six thousand, one hundred one".

Divisors: 1 3 9 277 831 2493 58057 174171 522513 16081789 48245367 144736101