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42234100002 = 234937278233
BaseRepresentation
bin100111010101010110…
…010011100100100010
311001000100220120120000
4213111112103210202
51142443412200002
631222503200430
73023412632613
oct472526234442
9131010816500
1042234100002
1116a03059486
128228146116
133ca0b93123
1420891a3c0a
151172bdc61c
hex9d5593922

42234100002 has 40 divisors (see below), whose sum is σ = 94737007596. Its totient is φ = 14062958208.

The previous prime is 42234100001. The next prime is 42234100003. The reversal of 42234100002 is 20000143224.

It is an interprime number because it is at equal distance from previous prime (42234100001) and next prime (42234100003).

It can be written as a sum of positive squares in 2 ways, for example, as 38596924521 + 3637175481 = 196461^2 + 60309^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (42234100001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 12678 + ... + 290910.

Almost surely, 242234100002 is an apocalyptic number.

42234100002 is an abundant number, since it is smaller than the sum of its proper divisors (52502907594).

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

42234100002 is a wasteful number, since it uses less digits than its factorization.

42234100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279184 (or 279175 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 42234100002 its reverse (20000143224), we get a palindrome (62234243226).

The spelling of 42234100002 in words is "forty-two billion, two hundred thirty-four million, one hundred thousand, two".

Divisors: 1 2 3 6 9 18 27 54 81 162 937 1874 2811 5622 8433 16866 25299 50598 75897 151794 278233 556466 834699 1669398 2504097 5008194 7512291 15024582 22536873 45073746 260704321 521408642 782112963 1564225926 2346338889 4692677778 7039016667 14078033334 21117050001 42234100002