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14125344224140 = 22517129132180581
BaseRepresentation
bin1100110110001101000000…
…0111111111001110001100
31212000100222112012021120101
43031203100013333032030
53322412201110133030
650013032112500444
72655344124600262
oct315432007771614
955010875167511
1014125344224140
114556585627476
12170170524a724
137b60253b0106
1436b95547c432
151976751527ca
hexcd8d01ff38c

14125344224140 has 48 divisors (see below), whose sum is σ = 31432447829664. Its totient is φ = 5313657369600.

The previous prime is 14125344224063. The next prime is 14125344224141. The reversal of 14125344224140 is 4142244352141.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 14125344224140.

It is not an unprimeable number, because it can be changed into a prime (14125344224141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15651351 + ... + 16529230.

It is an arithmetic number, because the mean of its divisors is an integer number (654842663118).

Almost surely, 214125344224140 is an apocalyptic number.

14125344224140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14125344224140 is an abundant number, since it is smaller than the sum of its proper divisors (17307103605524).

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

14125344224140 is a wasteful number, since it uses less digits than its factorization.

14125344224140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32181898 (or 32181896 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 37.

Adding to 14125344224140 its reverse (4142244352141), we get a palindrome (18267588576281).

The spelling of 14125344224140 in words is "fourteen trillion, one hundred twenty-five billion, three hundred forty-four million, two hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1291 2582 5164 6455 12910 21947 25820 43894 87788 109735 219470 438940 32180581 64361162 128722324 160902905 321805810 547069877 643611620 1094139754 2188279508 2735349385 5470698770 10941397540 41545130071 83090260142 166180520284 207725650355 415451300710 706267211207 830902601420 1412534422414 2825068844828 3531336056035 7062672112070 14125344224140