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42504225120 = 2534571924659
BaseRepresentation
bin100111100101011100…
…110000000101100000
311001201012012100120000
4213211130300011200
51144022040200440
631305353020000
73033202644450
oct474534600540
9131635170500
1042504225120
1117031588485
1282a26b4600
134014b30b86
1420b2ddbd60
15118b799730
hex9e5730160

42504225120 has 480 divisors, whose sum is σ = 180463852800. Its totient is φ = 9203549184.

The previous prime is 42504225119. The next prime is 42504225121. The reversal of 42504225120 is 2152240524.

42504225120 is a `hidden beast` number, since 425 + 0 + 4 + 225 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42504225119) and next prime (42504225121).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42504225121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1711351 + ... + 1736009.

It is an arithmetic number, because the mean of its divisors is an integer number (375966360).

Almost surely, 242504225120 is an apocalyptic number.

42504225120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42504225120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90231926400).

42504225120 is an abundant number, since it is smaller than the sum of its proper divisors (137959627680).

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

42504225120 is a wasteful number, since it uses less digits than its factorization.

42504225120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24712 (or 24695 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 42504225120 its reverse (2152240524), we get a palindrome (44656465644).

The spelling of 42504225120 in words is "forty-two billion, five hundred four million, two hundred twenty-five thousand, one hundred twenty".