Search a number
-
+
4021430000000 = 27577229283
BaseRepresentation
bin111010100001001111111…
…010000001100110000000
3112020110000101000111101212
4322201033322001212000
51011341342040000000
612315230333145252
7563352533001200
oct72411772014600
915213011014355
104021430000000
11131052a43a876
1254b46892b228
132322b0826aca
14dc8d1506400
156e917544c35
hex3a84fe81980

4021430000000 has 768 divisors, whose sum is σ = 12093543259200. Its totient is φ = 1326528000000.

The previous prime is 4021429999991. The next prime is 4021430000009. The reversal of 4021430000000 is 341204.

It is an interprime number because it is at equal distance from previous prime (4021429999991) and next prime (4021430000009).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a self number, because there is not a number n which added to its sum of digits gives 4021430000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4021430000009) 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, 14209999859 + ... + 14210000141.

Almost surely, 24021430000000 is an apocalyptic number.

4021430000000 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 4021430000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6046771629600).

4021430000000 is an abundant number, since it is smaller than the sum of its proper divisors (8072113259200).

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

4021430000000 is an frugal number, since it uses more digits than its factorization.

4021430000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 4021430000000 its reverse (341204), we get a palindrome (4021430341204).

The spelling of 4021430000000 in words is "four trillion, twenty-one billion, four hundred thirty million", and thus it is an aban number.