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1004344454241 = 324146756910243
BaseRepresentation
bin11101001110101111001…
…10000010110001100001
310120000101111021120022200
432213113212002301201
5112423344140013431
62045220043123413
7132363410001252
oct16472746026141
93500344246280
101004344454241
11357a38296747
12142794b13569
137392b38111b
1436879422b29
151b1d2d7bee6
hexe9d7982c61

1004344454241 has 48 divisors (see below), whose sum is σ = 1492048434240. Its totient is φ = 650624279040.

The previous prime is 1004344454213. The next prime is 1004344454279. The reversal of 1004344454241 is 1424544434001.

1004344454241 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 34 + 44 + 542 + 41 = 666.

1004344454241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1004344454241 - 26 = 1004344454177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1004344454196 and 1004344454205.

It is not an unprimeable number, because it can be changed into a prime (1004344454941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98046666 + ... + 98056908.

It is an arithmetic number, because the mean of its divisors is an integer number (31084342380).

Almost surely, 21004344454241 is an apocalyptic number.

It is an amenable number.

1004344454241 is a deficient number, since it is larger than the sum of its proper divisors (487703979999).

1004344454241 is a wasteful number, since it uses less digits than its factorization.

1004344454241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11326 (or 11323 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 1004344454241 its reverse (1424544434001), we get a palindrome (2428888888242).

The spelling of 1004344454241 in words is "one trillion, four billion, three hundred forty-four million, four hundred fifty-four thousand, two hundred forty-one".

Divisors: 1 3 9 41 123 369 467 569 1401 1707 4203 5121 10243 19147 23329 30729 57441 69987 92187 172323 209961 265723 419963 797169 1259889 2391507 3779667 4783481 5828267 10894643 14350443 17484801 32683929 43051329 52454403 98051787 196122721 238958947 588368163 716876841 1765104489 2150630523 2721800689 8165402067 24496206201 111593828249 334781484747 1004344454241