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444214414399 = 7193738954311
BaseRepresentation
bin1100111011011010011…
…11100000110000111111
31120110121001210100012111
412131231033200300333
524234222342230044
6540022544314451
744044022136160
oct6355517406077
91513531710174
10444214414399
11161432502348
1272112612a27
1332b73875522
1417700379767
15b84d3aab34
hex676d3e0c3f

444214414399 has 16 divisors (see below), whose sum is σ = 535826030080. Its totient is φ = 359748358560.

The previous prime is 444214414379. The next prime is 444214414421. The reversal of 444214414399 is 993414412444.

It is a cyclic number.

It is not a de Polignac number, because 444214414399 - 219 = 444213890111 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444214414309) 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 15 ways as a sum of consecutive naturals, for example, 4427547 + ... + 4526764.

It is an arithmetic number, because the mean of its divisors is an integer number (33489126880).

Almost surely, 2444214414399 is an apocalyptic number.

444214414399 is a deficient number, since it is larger than the sum of its proper divisors (91611615681).

444214414399 is a wasteful number, since it uses less digits than its factorization.

444214414399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8954710.

The product of its digits is 1990656, while the sum is 49.

The spelling of 444214414399 in words is "four hundred forty-four billion, two hundred fourteen million, four hundred fourteen thousand, three hundred ninety-nine".

Divisors: 1 7 19 133 373 2611 7087 49609 8954311 62680177 170131909 1190923363 3339958003 23379706021 63459202057 444214414399