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4131421200 = 243452294397
BaseRepresentation
bin1111011001000000…
…0111110000010000
3101122220222221110000
43312100013300100
531430120434300
61521542410000
7204244333524
oct36620076020
911586887400
104131421200
111830096995
12973730900
1350ac1703a
142b29a3d84
15192a84c00
hexf6407c10

4131421200 has 300 divisors, whose sum is σ = 15342115140. Its totient is φ = 1063480320.

The previous prime is 4131421153. The next prime is 4131421219. The reversal of 4131421200 is 21241314.

4131421200 is a `hidden beast` number, since 41 + 3 + 1 + 421 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 80353296 + 4051067904 = 8964^2 + 63648^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×41314212002 = 34137282263618880000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 937402 + ... + 941798.

Almost surely, 24131421200 is an apocalyptic number.

4131421200 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 4131421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7671057570).

4131421200 is an abundant number, since it is smaller than the sum of its proper divisors (11210693940).

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

4131421200 is a wasteful number, since it uses less digits than its factorization.

4131421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4456 (or 4436 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4131421200 is about 64276.1324287639. The cubic root of 4131421200 is about 1604.5989040527.

Adding to 4131421200 its reverse (21241314), we get a palindrome (4152662514).

The spelling of 4131421200 in words is "four billion, one hundred thirty-one million, four hundred twenty-one thousand, two hundred".