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42114000504 = 2334142798781
BaseRepresentation
bin100111001110001100…
…001010011001111000
311000200222220220000110
4213032030022121320
51142222141004004
631202533104320
73020424045402
oct471614123170
9130628826013
1042114000504
11169512899a4
1281b3a880a0
133c82032b34
14207725db72
1511673b7589
hex9ce30a678

42114000504 has 32 divisors (see below), whose sum is σ = 107852930640. Its totient is φ = 13695609600.

The previous prime is 42114000503. The next prime is 42114000529. The reversal of 42114000504 is 40500041124.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42114000503) 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 7 ways as a sum of consecutive naturals, for example, 21398407 + ... + 21400374.

Almost surely, 242114000504 is an apocalyptic number.

It is an amenable number.

42114000504 is an abundant number, since it is smaller than the sum of its proper divisors (65738930136).

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

42114000504 is a wasteful number, since it uses less digits than its factorization.

42114000504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42798831 (or 42798827 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 42114000504 its reverse (40500041124), we get a palindrome (82614041628).

The spelling of 42114000504 in words is "forty-two billion, one hundred fourteen million, five hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 42798781 85597562 128396343 171195124 256792686 342390248 513585372 1027170744 1754750021 3509500042 5264250063 7019000084 10528500126 14038000168 21057000252 42114000504