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2134440000 = 26325472112
BaseRepresentation
bin111111100111000…
…1111100001000000
312111202022210020100
41333032033201000
513332404040000
6551444242400
7103615304100
oct17716174100
95452283210
102134440000
119a5921400
124b69a0400
13280288a64
14163693200
15c75bba00
hex7f38f840

2134440000 has 945 divisors, whose sum is σ = 9775176411. Its totient is φ = 443520000.

The previous prime is 2134439953. The next prime is 2134440001. The reversal of 2134440000 is 444312.

The square root of 2134440000 is 46200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 167340096 + 1967099904 = 12936^2 + 44352^2 .

It is a super-2 number, since 2×21344400002 = 9111668227200000000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2134440001) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 194039995 + ... + 194040005.

Almost surely, 22134440000 is an apocalyptic number.

2134440000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2134440000 is the 46200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134440000

2134440000 is an abundant number, since it is smaller than the sum of its proper divisors (7640736411).

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

2134440000 is a wasteful number, since it uses less digits than its factorization.

2134440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 28 counting only the distinct ones).

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

The cubic root of 2134440000 is about 1287.5417399356.

Adding to 2134440000 its reverse (444312), we get a palindrome (2134884312).

The spelling of 2134440000 in words is "two billion, one hundred thirty-four million, four hundred forty thousand".