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944220040022449 = 10138339973244561
BaseRepresentation
bin1101011010110000110101110…
…0000100110100100110110001
311120211012112222001120210001001
43112230031130010310212301
51442230100120221204244
613144104410444242001
7402612434546341501
oct32654153404644661
94524175861523031
10944220040022449
11253948519910823
1289a98204b40301
13316b274c372528
14129246cad03a01
1574264e419c5d4
hex35ac35c1349b1

944220040022449 has 16 divisors (see below), whose sum is σ = 953917072482384. Its totient is φ = 934529889024000.

The previous prime is 944220040022359. The next prime is 944220040022509.

944220040022449 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 5656463102224 + 938563576920225 = 2378332^2 + 30635985^2 .

It is a cyclic number.

It is not a de Polignac number, because 944220040022449 - 219 = 944220039498161 is a prime.

It is a super-3 number, since 3×9442200400224493 (a number of 46 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 944220040022399 and 944220040022408.

It is not an unprimeable number, because it can be changed into a prime (944220040052449) 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, 3860755129 + ... + 3860999689.

It is an arithmetic number, because the mean of its divisors is an integer number (59619817030149).

Almost surely, 2944220040022449 is an apocalyptic number.

It is an amenable number.

944220040022449 is a deficient number, since it is larger than the sum of its proper divisors (9697032459935).

944220040022449 is a wasteful number, since it uses less digits than its factorization.

944220040022449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258468.

The product of its (nonzero) digits is 1327104, while the sum is 46.

The spelling of 944220040022449 in words is "nine hundred forty-four trillion, two hundred twenty billion, forty million, twenty-two thousand, four hundred forty-nine".

Divisors: 1 101 3833 9973 244561 387133 1007273 24700661 38226509 937402313 2439006853 3860877409 94677633613 246339692153 9348713267549 944220040022449