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142400001424 = 2417895882353
BaseRepresentation
bin1000010010011110110…
…0111001010110010000
3111121120002201120202211
42010213230321112100
54313113400021144
6145230114121504
713200543020002
oct2044754712620
9447502646684
10142400001424
11554340a779a
1223721580294
1310574b7b495
146c6c28c372
153a86798034
hex2127b39590

142400001424 has 40 divisors (see below), whose sum is σ = 295411817880. Its totient is φ = 66258812928.

The previous prime is 142400001391. The next prime is 142400001431. The reversal of 142400001424 is 424100004241.

It can be written as a sum of positive squares in 4 ways, for example, as 35444839824 + 106955161600 = 188268^2 + 327040^2 .

It is a junction number, because it is equal to n+sod(n) for n = 142400001395 and 142400001404.

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, 2916969 + ... + 2965384.

It is an arithmetic number, because the mean of its divisors is an integer number (7385295447).

Almost surely, 2142400001424 is an apocalyptic number.

It is an amenable number.

142400001424 is an abundant number, since it is smaller than the sum of its proper divisors (153011816456).

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

142400001424 is a wasteful number, since it uses less digits than its factorization.

142400001424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882467 (or 5882461 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 142400001424 its reverse (424100004241), we get a palindrome (566500005665).

It can be divided in two parts, 14240000 and 1424, that multiplied together give a square (20277760000 = 1424002).

The spelling of 142400001424 in words is "one hundred forty-two billion, four hundred million, one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 68 89 136 178 272 356 712 1424 1513 3026 6052 12104 24208 5882353 11764706 23529412 47058824 94117648 100000001 200000002 400000004 523529417 800000008 1047058834 1600000016 2094117668 4188235336 8376470672 8900000089 17800000178 35600000356 71200000712 142400001424