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144040004120441 = 1113323325580231
BaseRepresentation
bin100000110000000011101101…
…010001110110111101111001
3200220000002102112202010012202
4200300003231101312331321
5122334422412023323231
61230203021524115545
742224355402514022
oct4060035521667571
9626002375663182
10144040004120441
1141994028235680
12141a3b01b35bb5
13624abb63a2000
14277d80558bc49
15119bc274e45cb
hex8300ed476f79

144040004120441 has 32 divisors (see below), whose sum is σ = 170953713665280. Its totient is φ = 120353958940800.

The previous prime is 144040004120437. The next prime is 144040004120447. The reversal of 144040004120441 is 144021400040441.

It is a happy number.

144040004120441 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 144040004120441 - 22 = 144040004120437 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144040004120447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7159205 + ... + 18421026.

It is an arithmetic number, because the mean of its divisors is an integer number (5342303552040).

Almost surely, 2144040004120441 is an apocalyptic number.

144040004120441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144040004120441 is a deficient number, since it is larger than the sum of its proper divisors (26913709544839).

144040004120441 is a wasteful number, since it uses less digits than its factorization.

144040004120441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25580514 (or 25580488 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 144040004120441 its reverse (144021400040441), we get a palindrome (288061404160882).

The spelling of 144040004120441 in words is "one hundred forty-four trillion, forty billion, four million, one hundred twenty thousand, four hundred forty-one".

Divisors: 1 11 13 143 169 233 1859 2197 2563 3029 24167 33319 39377 433147 511901 5630911 25580231 281382541 332543003 3657973033 4323059039 5960193823 47553649429 56199767507 65562132053 77482519699 618197442577 852307716689 1007272756087 11080000316957 13094545829131 144040004120441