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444202242045 = 35347600714207
BaseRepresentation
bin1100111011011001000…
…01000100111111111101
31120110120012212220212120
412131230201010333331
524234211233221140
6540021431353153
744043513521232
oct6355441047775
91513505786776
10444202242045
11161426649051
127210a5227b9
1332b711a2c53
14176dc8cb789
15b84c2a41d0
hex676c844ffd

444202242045 has 32 divisors (see below), whose sum is σ = 712940617728. Its totient is φ = 236169181248.

The previous prime is 444202242041. The next prime is 444202242091. The reversal of 444202242045 is 540242202444.

It is not a de Polignac number, because 444202242045 - 22 = 444202242041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 444202241997 and 444202242015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444202242041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 31259332 + ... + 31273538.

It is an arithmetic number, because the mean of its divisors is an integer number (22279394304).

Almost surely, 2444202242045 is an apocalyptic number.

It is an amenable number.

444202242045 is a deficient number, since it is larger than the sum of its proper divisors (268738375683).

444202242045 is a wasteful number, since it uses less digits than its factorization.

444202242045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20569.

The product of its (nonzero) digits is 81920, while the sum is 33.

Adding to 444202242045 its reverse (540242202444), we get a palindrome (984444444489).

The spelling of 444202242045 in words is "four hundred forty-four billion, two hundred two million, two hundred forty-two thousand, forty-five".

Divisors: 1 3 5 15 347 1041 1735 5205 6007 14207 18021 30035 42621 71035 90105 213105 2084429 4929829 6253287 10422145 14789487 24649145 31266435 73947435 85341449 256024347 426707245 1280121735 29613482803 88840448409 148067414015 444202242045