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141402404224 = 274724419629
BaseRepresentation
bin1000001110110000111…
…1010111010110000000
3111111222120120101200101
42003230033113112000
54304043003413344
6144543120132144
713134040414234
oct2035417272600
9444876511611
10141402404224
1154a71a751a4
12234a3467054
13104462a2b93
146bb59a85c4
153a28ddd9d4
hex20ec3d7580

141402404224 has 64 divisors (see below), whose sum is σ = 287841470400. Its totient is φ = 69161390080.

The previous prime is 141402404203. The next prime is 141402404239. The reversal of 141402404224 is 422404204141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 141402404192 and 141402404201.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 14680242 + ... + 14689870.

It is an arithmetic number, because the mean of its divisors is an integer number (4497522975).

Almost surely, 2141402404224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141402404224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143920735200).

141402404224 is an abundant number, since it is smaller than the sum of its proper divisors (146439066176).

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

141402404224 is an equidigital number, since it uses as much as digits as its factorization.

141402404224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12131 (or 12119 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 141402404224 its reverse (422404204141), we get a palindrome (563806608365).

The spelling of 141402404224 in words is "one hundred forty-one billion, four hundred two million, four hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 752 1504 2441 3008 4882 6016 9629 9764 19258 19528 38516 39056 77032 78112 114727 154064 156224 229454 308128 312448 452563 458908 616256 905126 917816 1232512 1810252 1835632 3620504 3671264 7241008 7342528 14482016 14685056 23504389 28964032 47008778 57928064 94017556 188035112 376070224 752140448 1104706283 1504280896 2209412566 3008561792 4418825132 8837650264 17675300528 35350601056 70701202112 141402404224