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4002143040 = 26335766173
BaseRepresentation
bin1110111010001011…
…1101101101000000
3101022220201221011000
43232202331231000
531144022034130
61501043452000
7201114440340
oct35642755500
911286657130
104002143040
111774118335
12938387000
134ba1c1c9c
1429d750d20
1518654a260
hexee8bdb40

4002143040 has 224 divisors, whose sum is σ = 16135868160. Its totient is φ = 914761728.

The previous prime is 4002143029. The next prime is 4002143063. The reversal of 4002143040 is 403412004.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 27394 + ... + 93566.

Almost surely, 24002143040 is an apocalyptic number.

4002143040 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 4002143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8067934080).

4002143040 is an abundant number, since it is smaller than the sum of its proper divisors (12133725120).

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

4002143040 is a wasteful number, since it uses less digits than its factorization.

4002143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66206 (or 66190 counting only the distinct ones).

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

The square root of 4002143040 is about 63262.4931535266. The cubic root of 4002143040 is about 1587.6844900185.

Adding to 4002143040 its reverse (403412004), we get a palindrome (4405555044).

The spelling of 4002143040 in words is "four billion, two million, one hundred forty-three thousand, forty".