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3813404441 = 71173678421
BaseRepresentation
bin1110001101001011…
…1110111100011001
3100211202121000110112
43203102332330121
530302212420231
61430222254105
7163333255130
oct34322767431
910752530415
103813404441
111687627220
128a5127335
1348a07b742
14282660917
15174bb792b
hexe34bef19

3813404441 has 16 divisors (see below), whose sum is σ = 4819509888. Its totient is φ = 2930774400.

The previous prime is 3813404437. The next prime is 3813404459. The reversal of 3813404441 is 1444043183.

It is a cyclic number.

It is not a de Polignac number, because 3813404441 - 22 = 3813404437 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3813404398 and 3813404407.

It is not an unprimeable number, because it can be changed into a prime (3813404411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333590 + ... + 344831.

It is an arithmetic number, because the mean of its divisors is an integer number (301219368).

Almost surely, 23813404441 is an apocalyptic number.

It is an amenable number.

3813404441 is a deficient number, since it is larger than the sum of its proper divisors (1006105447).

3813404441 is a wasteful number, since it uses less digits than its factorization.

3813404441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678512.

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 3813404441 is about 61752.7686909664. The cubic root of 3813404441 is about 1562.3234664003.

The spelling of 3813404441 in words is "three billion, eight hundred thirteen million, four hundred four thousand, four hundred forty-one".

Divisors: 1 7 11 73 77 511 803 5621 678421 4748947 7462631 49524733 52238417 346673131 544772063 3813404441