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1004224133142 = 23288363182593
BaseRepresentation
bin11101001110100000110…
…11000011100000010110
310120000002002212121210200
432213100123003200112
5112423122334230032
62045200104201330
7132360416202006
oct16472033034026
93500062777720
101004224133142
1135798638571a
12142760769246
137390c473cc9
1436867462006
151b1c751147c
hexe9d06c3816

1004224133142 has 24 divisors (see below), whose sum is σ = 2178283110744. Its totient is φ = 334362276864.

The previous prime is 1004224133131. The next prime is 1004224133173. The reversal of 1004224133142 is 2413314224001.

1004224133142 is a `hidden beast` number, since 10 + 0 + 42 + 241 + 331 + 42 = 666.

It is a super-2 number, since 2×10042241331422 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31575403 + ... + 31607190.

It is an arithmetic number, because the mean of its divisors is an integer number (90761796281).

Almost surely, 21004224133142 is an apocalyptic number.

1004224133142 is an abundant number, since it is smaller than the sum of its proper divisors (1174058977602).

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

1004224133142 is a wasteful number, since it uses less digits than its factorization.

1004224133142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63183484 (or 63183481 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1004224133142 its reverse (2413314224001), we get a palindrome (3417538357143).

The spelling of 1004224133142 in words is "one trillion, four billion, two hundred twenty-four million, one hundred thirty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 883 1766 2649 5298 7947 15894 63182593 126365186 189547779 379095558 568643337 1137286674 55790229619 111580459238 167370688857 334741377714 502112066571 1004224133142