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4142425320 = 2333511231699
BaseRepresentation
bin1111011011101000…
…0110010011101000
3101200200201000021000
43312322012103220
531440430102240
61523014315000
7204440014515
oct36672062350
911620630230
104142425320
111836322500
12977358a60
1351029a957
142b422a30c
15193a0a430
hexf6e864e8

4142425320 has 192 divisors, whose sum is σ = 15177960000. Its totient is φ = 1004192640.

The previous prime is 4142425307. The next prime is 4142425363. The reversal of 4142425320 is 235242414.

4142425320 is a `hidden beast` number, since 414 + 242 + 5 + 3 + 2 + 0 = 666.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 114831 + ... + 146529.

It is an arithmetic number, because the mean of its divisors is an integer number (79051875).

Almost surely, 24142425320 is an apocalyptic number.

4142425320 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 4142425320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7588980000).

4142425320 is an abundant number, since it is smaller than the sum of its proper divisors (11035534680).

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

4142425320 is a wasteful number, since it uses less digits than its factorization.

4142425320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31741 (or 31720 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4142425320 is about 64361.6758638244. The cubic root of 4142425320 is about 1606.0222677841.

Adding to 4142425320 its reverse (235242414), we get a palindrome (4377667734).

The spelling of 4142425320 in words is "four billion, one hundred forty-two million, four hundred twenty-five thousand, three hundred twenty".