Search a number
-
+
144845131653 = 3216093903517
BaseRepresentation
bin1000011011100101110…
…0010100111110000101
3111211212111200001212200
42012321130110332011
54333120323203103
6150312501505113
713315253206365
oct2067134247605
9454774601780
10144845131653
1156479334282
12240a4412199
1310874608ac1
147020cd89a5
153b7b2860a3
hex21b9714f85

144845131653 has 6 divisors (see below), whose sum is σ = 209220745734. Its totient is φ = 96563421096.

The previous prime is 144845131597. The next prime is 144845131657. The reversal of 144845131653 is 356131548441.

It is a happy number.

144845131653 is a `hidden beast` number, since 1 + 4 + 4 + 84 + 513 + 1 + 6 + 53 = 666.

144845131653 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 only one way, i.e., 85286193444 + 59558938209 = 292038^2 + 244047^2 .

It is not a de Polignac number, because 144845131653 - 29 = 144845131141 is a prime.

It is a super-2 number, since 2×1448451316532 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 144845131599 and 144845131608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144845131657) 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 5 ways as a sum of consecutive naturals, for example, 8046951750 + ... + 8046951767.

It is an arithmetic number, because the mean of its divisors is an integer number (34870124289).

Almost surely, 2144845131653 is an apocalyptic number.

It is an amenable number.

144845131653 is a deficient number, since it is larger than the sum of its proper divisors (64375614081).

144845131653 is a wasteful number, since it uses less digits than its factorization.

144845131653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16093903523 (or 16093903520 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 144845131653 in words is "one hundred forty-four billion, eight hundred forty-five million, one hundred thirty-one thousand, six hundred fifty-three".

Divisors: 1 3 9 16093903517 48281710551 144845131653