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1468402441 = 111912975417
BaseRepresentation
bin101011110000110…
…0000101100001001
310210100001120110121
41113201200230021
511001402334231
6401412543241
751250133452
oct12741405411
93710046417
101468402441
11693969540
1234b921b21
131a52ab0ac
14dd03a129
1588da7311
hex57860b09

1468402441 has 16 divisors (see below), whose sum is σ = 1687815360. Its totient is φ = 1263444480.

The previous prime is 1468402433. The next prime is 1468402447. The reversal of 1468402441 is 1442048641.

It is a cyclic number.

It is not a de Polignac number, because 1468402441 - 23 = 1468402433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1468402397 and 1468402406.

It is not an unprimeable number, because it can be changed into a prime (1468402447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268365 + ... + 273781.

It is an arithmetic number, because the mean of its divisors is an integer number (105488460).

Almost surely, 21468402441 is an apocalyptic number.

1468402441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1468402441 is a deficient number, since it is larger than the sum of its proper divisors (219412919).

1468402441 is a wasteful number, since it uses less digits than its factorization.

1468402441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6744.

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 1468402441 is about 38319.7395737497. The cubic root of 1468402441 is about 1136.6193168138.

The spelling of 1468402441 in words is "one billion, four hundred sixty-eight million, four hundred two thousand, four hundred forty-one".

Divisors: 1 11 19 209 1297 5417 14267 24643 59587 102923 271073 1132153 7025849 77284339 133491131 1468402441