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1004144404045 = 51729407360813
BaseRepresentation
bin11101001110010111010…
…10111010011001001101
310112222212112211222001011
432213023222322121031
5112422441431412140
62045144135245221
7132355430414446
oct16471352723115
93488775758034
101004144404045
1135794537a002
12142739b19811
13738c8aaa023
143685aa2a2cd
151b1c0512cea
hexe9cbaba64d

1004144404045 has 16 divisors (see below), whose sum is σ = 1319849037360. Its totient is φ = 729990575104.

The previous prime is 1004144404031. The next prime is 1004144404057. The reversal of 1004144404045 is 5404044414001.

It can be written as a sum of positive squares in 8 ways, for example, as 23701834116 + 980442569929 = 153954^2 + 990173^2 .

It is a cyclic number.

It is not a de Polignac number, because 1004144404045 - 213 = 1004144395853 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1004144403998 and 1004144404016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203677942 + ... + 203682871.

It is an arithmetic number, because the mean of its divisors is an integer number (82490564835).

Almost surely, 21004144404045 is an apocalyptic number.

It is an amenable number.

1004144404045 is a deficient number, since it is larger than the sum of its proper divisors (315704633315).

1004144404045 is a wasteful number, since it uses less digits than its factorization.

1004144404045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407360864.

The product of its (nonzero) digits is 20480, while the sum is 31.

Adding to 1004144404045 its reverse (5404044414001), we get a palindrome (6408188818046).

The spelling of 1004144404045 in words is "one trillion, four billion, one hundred forty-four million, four hundred four thousand, forty-five".

Divisors: 1 5 17 29 85 145 493 2465 407360813 2036804065 6925133821 11813463577 34625669105 59067317885 200828880809 1004144404045