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444142342033 = 131109214114389
BaseRepresentation
bin1100111011010001111…
…00100100111110010001
31120110102001011200111121
412131220330210332101
524234100414421113
6540011451442241
744042155421515
oct6355074447621
91513361150447
10444142342033
111613a5856305
12720b2456381
1332b6195c660
14176d4978145
15b846dc0e8d
hex6768f24f91

444142342033 has 16 divisors (see below), whose sum is σ = 478995325200. Its totient is φ = 409388094720.

The previous prime is 444142341949. The next prime is 444142342067. The reversal of 444142342033 is 330243241444.

It can be written as a sum of positive squares in 8 ways, for example, as 52738203904 + 391404138129 = 229648^2 + 625623^2 .

It is a cyclic number.

It is not a de Polignac number, because 444142342033 - 29 = 444142341521 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 444142342033.

It is not an unprimeable number, because it can be changed into a prime (444142342073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30859603 + ... + 30873991.

It is an arithmetic number, because the mean of its divisors is an integer number (29937207825).

Almost surely, 2444142342033 is an apocalyptic number.

It is an amenable number.

444142342033 is a deficient number, since it is larger than the sum of its proper divisors (34852983167).

444142342033 is a wasteful number, since it uses less digits than its factorization.

444142342033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17652.

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 444142342033 its reverse (330243241444), we get a palindrome (774385583477).

The spelling of 444142342033 in words is "four hundred forty-four billion, one hundred forty-two million, three hundred forty-two thousand, thirty-three".

Divisors: 1 13 1109 2141 14389 14417 27833 187057 2374369 15957401 30806849 30866797 207446213 400489037 34164795541 444142342033