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3344407004441 = 79337463727091
BaseRepresentation
bin110000101010101110001…
…100010000010100011001
3102211201111110210212021102
4300222232030100110121
5414243321143120231
611040222132521145
7463424344330616
oct60525614202431
912751443725242
103344407004441
11107a39a624748
124602031801b5
131b34b77572a9
14b7c27a2550d
155bee0758acb
hex30aae310519

3344407004441 has 16 divisors (see below), whose sum is σ = 3397648899840. Its totient is φ = 3291442801920.

The previous prime is 3344407004437. The next prime is 3344407004473. The reversal of 3344407004441 is 1444007044433.

It is a cyclic number.

It is not a de Polignac number, because 3344407004441 - 22 = 3344407004437 is a prime.

It is a super-2 number, since 2×33444070044412 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3344407004395 and 3344407004404.

It is not an unprimeable number, because it can be changed into a prime (3344407004401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123437306 + ... + 123464396.

It is an arithmetic number, because the mean of its divisors is an integer number (212353056240).

Almost surely, 23344407004441 is an apocalyptic number.

It is an amenable number.

3344407004441 is a deficient number, since it is larger than the sum of its proper divisors (53241895399).

3344407004441 is a wasteful number, since it uses less digits than its factorization.

3344407004441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32144.

The product of its (nonzero) digits is 258048, while the sum is 38.

The spelling of 3344407004441 in words is "three trillion, three hundred forty-four billion, four hundred seven million, four thousand, four hundred forty-one".

Divisors: 1 79 337 4637 26623 27091 366323 1562669 2140189 9129667 123450851 125620967 721243693 9924056393 42334265879 3344407004441