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2043142416 = 2432721717033
BaseRepresentation
bin111100111000111…
…1110000100010000
312021101112101111100
41321301332010100
513141021024131
6534423344400
7101426265300
oct17161760420
95241471440
102043142416
11959334157
124902b2100
132673a1313
141554c9600
15be5857e6
hex79c7e110

2043142416 has 180 divisors, whose sum is σ = 7043184252. Its totient is φ = 549384192.

The previous prime is 2043142397. The next prime is 2043142427. The reversal of 2043142416 is 6142413402.

It is a happy number.

2043142416 is a `hidden beast` number, since 204 + 3 + 1 + 42 + 416 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1024256016 + 1018886400 = 32004^2 + 31920^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2043142416.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 111436 + ... + 128468.

Almost surely, 22043142416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2043142416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3521592126).

2043142416 is an abundant number, since it is smaller than the sum of its proper divisors (5000041836).

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

2043142416 is a wasteful number, since it uses less digits than its factorization.

2043142416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17078 (or 17062 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2043142416 is about 45201.1329061562. The cubic root of 2043142416 is about 1268.9160188617.

Adding to 2043142416 its reverse (6142413402), we get a palindrome (8185555818).

The spelling of 2043142416 in words is "two billion, forty-three million, one hundred forty-two thousand, four hundred sixteen".