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441335503441 = 7211297977721
BaseRepresentation
bin1100110110000011010…
…01010101101001010001
31120012011102121111210201
412123001221111221101
524212323342102231
6534425143255201
743612463611600
oct6330151255121
91505142544721
10441335503441
11160195427998
127164a44a501
13328052a9811
1417509c93a37
15b730785161
hex66c1a55a51

441335503441 has 12 divisors (see below), whose sum is σ = 513845074020. Its totient is φ = 377952462720.

The previous prime is 441335503421. The next prime is 441335503547. The reversal of 441335503441 is 144305533144.

It can be written as a sum of positive squares in 2 ways, for example, as 45343443600 + 395992059841 = 212940^2 + 629279^2 .

It is not a de Polignac number, because 441335503441 - 221 = 441333406289 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 441335503441.

It is not an unprimeable number, because it can be changed into a prime (441335503421) 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, 3933540 + ... + 4044181.

It is an arithmetic number, because the mean of its divisors is an integer number (42820422835).

Almost surely, 2441335503441 is an apocalyptic number.

It is an amenable number.

441335503441 is a deficient number, since it is larger than the sum of its proper divisors (72509570579).

441335503441 is a wasteful number, since it uses less digits than its factorization.

441335503441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7978864 (or 7978857 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

The spelling of 441335503441 in words is "four hundred forty-one billion, three hundred thirty-five million, five hundred three thousand, four hundred forty-one".

Divisors: 1 7 49 1129 7903 55321 7977721 55844047 390908329 9006847009 63047929063 441335503441