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20144114025 = 3527233164677
BaseRepresentation
bin10010110000101011…
…101100100101101001
31220222212201000112020
4102300223230211221
5312223343122100
613130514135053
71312122100260
oct226053544551
956885630466
1020144114025
1185a7911022
123aa2281489
131b904c56c9
14d914bb5d7
157cd7365a0
hex4b0aec969

20144114025 has 48 divisors (see below), whose sum is σ = 38226374784. Its totient is φ = 9169159680.

The previous prime is 20144113993. The next prime is 20144114047. The reversal of 20144114025 is 52041144102.

It is not a de Polignac number, because 20144114025 - 25 = 20144113993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20144113986 and 20144114004.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 39987 + ... + 204663.

It is an arithmetic number, because the mean of its divisors is an integer number (796382808).

Almost surely, 220144114025 is an apocalyptic number.

20144114025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20144114025 is a deficient number, since it is larger than the sum of its proper divisors (18082260759).

20144114025 is a wasteful number, since it uses less digits than its factorization.

20144114025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164930 (or 164925 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 20144114025 its reverse (52041144102), we get a palindrome (72185258127).

The spelling of 20144114025 in words is "twenty billion, one hundred forty-four million, one hundred fourteen thousand, twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 175 233 525 699 1165 1631 3495 4893 5825 8155 17475 24465 40775 122325 164677 494031 823385 1152739 2470155 3458217 4116925 5763695 12350775 17291085 28818475 38369741 86455425 115109223 191848705 268588187 575546115 805764561 959243525 1342940935 2877730575 4028822805 6714704675 20144114025