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4042231400 = 235220211157
BaseRepresentation
bin1111000011101111…
…1000111001101000
3101102201011122001002
43300323320321220
531234302401100
61505035014132
7202112254124
oct36073707150
911381148032
104042231400
111794809309
1294989a348
134c55b9acc
142a4bc8584
15189d182d5
hexf0ef8e68

4042231400 has 24 divisors (see below), whose sum is σ = 9398188470. Its totient is φ = 1616892480.

The previous prime is 4042231387. The next prime is 4042231411. The reversal of 4042231400 is 41322404.

It can be written as a sum of positive squares in 3 ways, for example, as 3813556516 + 228674884 = 61754^2 + 15122^2 .

It is a super-2 number, since 2×40422314002 = 32679269382291920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10105379 + ... + 10105778.

Almost surely, 24042231400 is an apocalyptic number.

4042231400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042231400 is an abundant number, since it is smaller than the sum of its proper divisors (5355957070).

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

4042231400 is a wasteful number, since it uses less digits than its factorization.

4042231400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20211173 (or 20211164 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4042231400 is about 63578.5451233354. The cubic root of 4042231400 is about 1592.9680200207.

Adding to 4042231400 its reverse (41322404), we get a palindrome (4083553804).

The spelling of 4042231400 in words is "four billion, forty-two million, two hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 20211157 40422314 80844628 101055785 161689256 202111570 404223140 505278925 808446280 1010557850 2021115700 4042231400