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4002023142 = 232131729113307
BaseRepresentation
bin1110111010001010…
…0000011011100110
3101022220111211200100
43232202200123212
531144004220032
61501041124530
7201113430645
oct35642403346
911286454610
104002023142
111774046247
12938329746
134ba17c540
1429d71d35c
1518652497c
hexee8a06e6

4002023142 has 192 divisors, whose sum is σ = 10352422080. Its totient is φ = 1105477632.

The previous prime is 4002023141. The next prime is 4002023147. The reversal of 4002023142 is 2413202004.

4002023142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002023141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13035753 + ... + 13036059.

It is an arithmetic number, because the mean of its divisors is an integer number (53918865).

Almost surely, 24002023142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4002023142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5176211040).

4002023142 is an abundant number, since it is smaller than the sum of its proper divisors (6350398938).

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

4002023142 is a wasteful number, since it uses less digits than its factorization.

4002023142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4002023142 is about 63261.5455233272. The cubic root of 4002023142 is about 1587.6686350050.

Adding to 4002023142 its reverse (2413202004), we get a palindrome (6415225146).

The spelling of 4002023142 in words is "four billion, two million, twenty-three thousand, one hundred forty-two".