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42123210324 = 22313448160259
BaseRepresentation
bin100111001110101111…
…010010111001010100
311000201122020210111220
4213032233102321110
51142232020212244
631203502330340
73020565244236
oct471657227124
9130648223456
1042123210324
11169564aa418
1281b6b899b0
133c83c08b30
14207857a256
1511680d6319
hex9cebd2e54

42123210324 has 48 divisors (see below), whose sum is σ = 105873445440. Its totient is φ = 12957880320.

The previous prime is 42123210319. The next prime is 42123210329. The reversal of 42123210324 is 42301232124.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42123210319) and next prime (42123210329).

It is a junction number, because it is equal to n+sod(n) for n = 42123210294 and 42123210303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42123210329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 668907 + ... + 729165.

It is an arithmetic number, because the mean of its divisors is an integer number (2205696780).

Almost surely, 242123210324 is an apocalyptic number.

It is an amenable number.

42123210324 is an abundant number, since it is smaller than the sum of its proper divisors (63750235116).

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

42123210324 is a wasteful number, since it uses less digits than its factorization.

42123210324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64760 (or 64758 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 42123210324 its reverse (42301232124), we get a palindrome (84424442448).

The spelling of 42123210324 in words is "forty-two billion, one hundred twenty-three million, two hundred ten thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 4481 8962 13443 17924 26886 53772 58253 60259 116506 120518 174759 180777 233012 241036 349518 361554 699036 723108 783367 1566734 2350101 3133468 4700202 9400404 270020579 540041158 810061737 1080082316 1620123474 3240246948 3510267527 7020535054 10530802581 14041070108 21061605162 42123210324