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2400124210042 = 213435233410243
BaseRepresentation
bin100010111011010010100…
…011010000101101111010
322111110010210010202002211
4202323102203100231322
5303310423244210132
65034333555245334
7335255213113336
oct42732243205572
98443123122084
102400124210042
11845983600009
123291b08a984a
1314543b841980
14842493467c6
154267575e147
hex22ed28d0b7a

2400124210042 has 32 divisors (see below), whose sum is σ = 3968057193408. Its totient is φ = 1081778616576.

The previous prime is 2400124210021. The next prime is 2400124210073.

2400124210042 is nontrivially palindromic in base 10.

2400124210042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2400124209995 and 2400124210022.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5645373 + ... + 6055615.

It is an arithmetic number, because the mean of its divisors is an integer number (124001787294).

Almost surely, 22400124210042 is an apocalyptic number.

2400124210042 is a deficient number, since it is larger than the sum of its proper divisors (1567932983366).

2400124210042 is a wasteful number, since it uses less digits than its factorization.

2400124210042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415534.

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

The spelling of 2400124210042 in words is "two trillion, four hundred billion, one hundred twenty-four million, two hundred ten thousand, forty-two".

Divisors: 1 2 13 26 43 86 559 1118 5233 10466 68029 136058 225019 410243 450038 820486 2925247 5333159 5850494 10666318 17640449 35280898 229325837 458651674 2146801619 4293603238 27908421047 55816842094 92312469617 184624939234 1200062105021 2400124210042