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14241000376 = 2347113571587
BaseRepresentation
bin11010100001101010…
…00110101110111000
31100202110221202221101
431100311012232320
5213131144003001
610313042021144
71012622335351
oct152065065670
940673852841
1014241000376
1160487453a9
1229153477b4
13145c520155
149914ccd28
1558538aa01
hex350d46bb8

14241000376 has 64 divisors (see below), whose sum is σ = 27606458880. Its totient is φ = 6883484160.

The previous prime is 14241000373. The next prime is 14241000383. The reversal of 14241000376 is 67300014241.

14241000376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14241000373) 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, 24260355 + ... + 24260941.

It is an arithmetic number, because the mean of its divisors is an integer number (431350920).

Almost surely, 214241000376 is an apocalyptic number.

14241000376 is the 75475-th centered pentagonal number.

It is an amenable number.

14241000376 is a deficient number, since it is larger than the sum of its proper divisors (13365458504).

14241000376 is a wasteful number, since it uses less digits than its factorization.

14241000376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 14241000376 in words is "fourteen billion, two hundred forty-one million, three hundred seventy-six", and thus it is an aban number.

Divisors: 1 2 4 8 47 94 113 188 226 376 452 571 587 904 1142 1174 2284 2348 4568 4696 5311 10622 21244 26837 27589 42488 53674 55178 64523 66331 107348 110356 129046 132662 214696 220712 258092 265324 335177 516184 530648 670354 1340708 2681416 3032581 3117557 6065162 6235114 12130324 12470228 15753319 24260648 24940456 31506638 37875001 63013276 75750002 126026552 151500004 303000008 1780125047 3560250094 7120500188 14241000376