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14420132240100 = 2235248163998009
BaseRepresentation
bin1101000111010111001011…
…0111000001101011100100
31220001112212210212002022120
43101311302313001223210
53342224412323140400
650400303423025540
73015551214436116
oct321656267015344
956045783762276
1014420132240100
11465a5a8798a44
12174a87513b2b0
13807a7448b1a2
1437bd1c2db3b6
151a0179e84ca0
hexd1d72dc1ae4

14420132240100 has 72 divisors (see below), whose sum is σ = 41723157359520. Its totient is φ = 3845284903680.

The previous prime is 14420132240093. The next prime is 14420132240131. The reversal of 14420132240100 is 104223102441.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13949896 + ... + 14947904.

It is an arithmetic number, because the mean of its divisors is an integer number (579488296660).

Almost surely, 214420132240100 is an apocalyptic number.

14420132240100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14420132240100 is an abundant number, since it is smaller than the sum of its proper divisors (27303025119420).

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

14420132240100 is a wasteful number, since it uses less digits than its factorization.

14420132240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046189 (or 1046182 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14420132240100 its reverse (104223102441), we get a palindrome (14524355342541).

The spelling of 14420132240100 in words is "fourteen trillion, four hundred twenty billion, one hundred thirty-two million, two hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 48163 96326 144489 192652 240815 288978 481630 577956 722445 963260 998009 1204075 1444890 1996018 2408150 2889780 2994027 3612225 3992036 4816300 4990045 5988054 7224450 9980090 11976108 14448900 14970135 19960180 24950225 29940270 49900450 59880540 74850675 99800900 149701350 299402700 48067107467 96134214934 144201322401 192268429868 240335537335 288402644802 480671074670 576805289604 721006612005 961342149340 1201677686675 1442013224010 2403355373350 2884026448020 3605033060025 4806710746700 7210066120050 14420132240100