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14434312140 = 22325197407059
BaseRepresentation
bin11010111000101101…
…00001111111001100
31101020221201000211100
431130112201333030
5214030140442030
610344145223100
71020460425453
oct153426417714
941227630740
1014434312140
11613787a396
12296a031a90
1314905a5101
149ad04db9a
15597323360
hex35c5a1fcc

14434312140 has 72 divisors (see below), whose sum is σ = 44006442480. Its totient is φ = 3829601664.

The previous prime is 14434312097. The next prime is 14434312153. The reversal of 14434312140 is 4121343441.

14434312140 is a `hidden beast` number, since 1 + 443 + 4 + 3 + 1 + 214 + 0 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 168070 + ... + 238989.

It is an arithmetic number, because the mean of its divisors is an integer number (611200590).

Almost surely, 214434312140 is an apocalyptic number.

14434312140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14434312140 is an abundant number, since it is smaller than the sum of its proper divisors (29572130340).

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

14434312140 is a wasteful number, since it uses less digits than its factorization.

14434312140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407271 (or 407266 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14434312140 its reverse (4121343441), we get a palindrome (18555655581).

The spelling of 14434312140 in words is "fourteen billion, four hundred thirty-four million, three hundred twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 197 394 591 788 985 1182 1773 1970 2364 2955 3546 3940 5910 7092 8865 11820 17730 35460 407059 814118 1221177 1628236 2035295 2442354 3663531 4070590 4884708 6105885 7327062 8141180 12211770 14654124 18317655 24423540 36635310 73270620 80190623 160381246 240571869 320762492 400953115 481143738 721715607 801906230 962287476 1202859345 1443431214 1603812460 2405718690 2886862428 3608578035 4811437380 7217156070 14434312140