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1042242310224 = 243233721477133
BaseRepresentation
bin11110010101010100111…
…10111001000001010000
310200122012122210010100100
433022222132321001100
5114034003012411344
62114444405452400
7135204510315303
oct17125236710120
93618178703310
101042242310224
11372015681885
12149bb0a11100
137738aa7498b
1438632746b3a
151c1a0026569
hexf2aa7b9050

1042242310224 has 60 divisors (see below), whose sum is σ = 2925486330676. Its totient is φ = 346383184896.

The previous prime is 1042242310217. The next prime is 1042242310231. The reversal of 1042242310224 is 4220132422401.

It is a happy number.

1042242310224 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 2 + 423 + 10 + 224 = 666.

It is an interprime number because it is at equal distance from previous prime (1042242310217) and next prime (1042242310231).

It can be written as a sum of positive squares in 2 ways, for example, as 344883703824 + 697358606400 = 587268^2 + 835080^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10690039 + ... + 10787094.

Almost surely, 21042242310224 is an apocalyptic number.

It is an amenable number.

1042242310224 is an abundant number, since it is smaller than the sum of its proper divisors (1883244020452).

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

1042242310224 is a wasteful number, since it uses less digits than its factorization.

1042242310224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21477484 (or 21477475 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 1042242310224 its reverse (4220132422401), we get a palindrome (5262374732625).

The spelling of 1042242310224 in words is "one trillion, forty-two billion, two hundred forty-two million, three hundred ten thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 337 674 1011 1348 2022 2696 3033 4044 5392 6066 8088 12132 16176 24264 48528 21477133 42954266 64431399 85908532 128862798 171817064 193294197 257725596 343634128 386588394 515451192 773176788 1030902384 1546353576 3092707152 7237793821 14475587642 21713381463 28951175284 43426762926 57902350568 65140144389 86853525852 115804701136 130280288778 173707051704 260560577556 347414103408 521121155112 1042242310224