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144135134001 = 32129712347737
BaseRepresentation
bin1000011000111100011…
…1111001101100110001
3111210001000200110012100
42012033013321230301
54330142043242001
6150114220051013
713261542265365
oct2061707715461
9453030613170
10144135134001
1156144586561
1223b26693a69
13107904a8c51
146d948bb2a5
153b38c8b586
hex218f1f9b31

144135134001 has 12 divisors (see below), whose sum is σ = 208355731012. Its totient is φ = 96015995136.

The previous prime is 144135133979. The next prime is 144135134041. The reversal of 144135134001 is 100431531441.

144135134001 is a `hidden beast` number, since 144 + 1 + 3 + 513 + 4 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 92751311601 + 51383822400 = 304551^2 + 226680^2 .

It is not a de Polignac number, because 144135134001 - 25 = 144135133969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144135134041) 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, 6162196 + ... + 6185541.

Almost surely, 2144135134001 is an apocalyptic number.

It is an amenable number.

144135134001 is a deficient number, since it is larger than the sum of its proper divisors (64220597011).

144135134001 is a wasteful number, since it uses less digits than its factorization.

144135134001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12349040 (or 12349037 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 144135134001 its reverse (100431531441), we get a palindrome (244566665442).

The spelling of 144135134001 in words is "one hundred forty-four billion, one hundred thirty-five million, one hundred thirty-four thousand, one".

Divisors: 1 3 9 1297 3891 11673 12347737 37043211 111129633 16015014889 48045044667 144135134001