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42434475048 = 23347233710993
BaseRepresentation
bin100111100001010010…
…101011010000101000
311001112022221200110000
4213201102223100220
51143401211200143
631254422023000
73031365041460
oct474122532050
9131468850400
1042434475048
1116aa6178199
128283277a60
13400354c044
1420a7a42ba0
1511855bcbd3
hex9e14ab428

42434475048 has 320 divisors, whose sum is σ = 145585186560. Its totient is φ = 11282540544.

The previous prime is 42434475043. The next prime is 42434475091. The reversal of 42434475048 is 84057443424.

It is a super-3 number, since 3×424344750483 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42434474994 and 42434475012.

It is not an unprimeable number, because it can be changed into a prime (42434475043) 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, 3854640 + ... + 3865632.

It is an arithmetic number, because the mean of its divisors is an integer number (454953708).

Almost surely, 242434475048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42434475048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72792593280).

42434475048 is an abundant number, since it is smaller than the sum of its proper divisors (103150711512).

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

42434475048 is a wasteful number, since it uses less digits than its factorization.

42434475048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11078 (or 11065 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 45.

The spelling of 42434475048 in words is "forty-two billion, four hundred thirty-four million, four hundred seventy-five thousand, forty-eight".