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14241000375 = 325375993019
BaseRepresentation
bin11010100001101010…
…00110101110110111
31100202110221202221100
431100311012232313
5213131144003000
610313042021143
71012622335350
oct152065065667
940673852840
1014241000375
1160487453a8
1229153477b3
13145c520154
149914ccd27
1558538aa00
hex350d46bb7

14241000375 has 96 divisors (see below), whose sum is σ = 29397888000. Its totient is φ = 6497150400.

The previous prime is 14241000373. The next prime is 14241000383. The reversal of 14241000375 is 57300014241.

It is not a de Polignac number, because 14241000375 - 21 = 14241000373 is a prime.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4715616 + ... + 4718634.

It is an arithmetic number, because the mean of its divisors is an integer number (306228000).

Almost surely, 214241000375 is an apocalyptic number.

14241000375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14241000375 is an abundant number, since it is smaller than the sum of its proper divisors (15156887625).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14241000375 is a wasteful number, since it uses less digits than its factorization.

14241000375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3646 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 14241000375 in words is "fourteen billion, two hundred forty-one million, three hundred seventy-five", and thus it is an aban number.

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 125 175 225 315 375 525 599 875 1125 1575 1797 2625 2995 3019 4193 5391 7875 8985 9057 12579 14975 15095 20965 21133 26955 27171 37737 44925 45285 62895 63399 74875 75475 104825 105665 134775 135855 188685 190197 224625 226425 314475 316995 377375 524125 528325 673875 679275 943425 950985 1132125 1572375 1584975 1808381 2641625 3396375 4717125 4754925 5425143 7924875 9041905 12658667 16275429 23774625 27125715 37976001 45209525 63293335 81377145 113928003 135628575 189880005 226047625 316466675 406885725 569640015 678142875 949400025 1582333375 2034428625 2848200075 4747000125 14241000375