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444631136445 = 3259880691921
BaseRepresentation
bin1100111100001100001…
…01001011100010111101
31120111200002221000101100
412132012011023202331
524241101032331240
6540132152203313
744060242205226
oct6360605134275
91514602830340
10444631136445
11161626759831
127220a099539
1332c0bcc0212
141773d85424d
15b874c73e30
hex678614b8bd

444631136445 has 12 divisors (see below), whose sum is σ = 770693969916. Its totient is φ = 237136606080.

The previous prime is 444631136431. The next prime is 444631136449. The reversal of 444631136445 is 544631136444.

444631136445 is a `hidden beast` number, since 4 + 4 + 4 + 631 + 1 + 3 + 6 + 4 + 4 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 281397359961 + 163233776484 = 530469^2 + 404022^2 .

It is not a de Polignac number, because 444631136445 - 26 = 444631136381 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 9880691921 = 444631136445 / (4 + 4 + 4 + 6 + 3 + 1 + 1 + 3 + 6 + 4 + 4 + 5).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 444631136445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444631136449) 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, 4940345916 + ... + 4940346005.

It is an arithmetic number, because the mean of its divisors is an integer number (64224497493).

Almost surely, 2444631136445 is an apocalyptic number.

444631136445 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

444631136445 is a deficient number, since it is larger than the sum of its proper divisors (326062833471).

444631136445 is a wasteful number, since it uses less digits than its factorization.

444631136445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9880691932 (or 9880691929 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

Subtracting 444631136445 from its reverse (544631136444), we obtain a palindrome (99999999999).

The spelling of 444631136445 in words is "four hundred forty-four billion, six hundred thirty-one million, one hundred thirty-six thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 45 9880691921 29642075763 49403459605 88926227289 148210378815 444631136445