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2041014400 = 2752637817
BaseRepresentation
bin111100110100111…
…0110100010000000
312021020112021101221
41321221312202000
513134444430100
6534310004424
7101402223205
oct17151664200
95236467357
102041014400
11958110367
1248b646714
13266b07839
141550d3cac
15be2b501a
hex79a76880

2041014400 has 48 divisors (see below), whose sum is σ = 5041951290. Its totient is φ = 816404480.

The previous prime is 2041014377. The next prime is 2041014401. The reversal of 2041014400 is 44101402.

It can be written as a sum of positive squares in 3 ways, for example, as 1782190656 + 258823744 = 42216^2 + 16088^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2041014401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 315709 + ... + 322108.

Almost surely, 22041014400 is an apocalyptic number.

2041014400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2041014400 is an abundant number, since it is smaller than the sum of its proper divisors (3000936890).

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

2041014400 is an equidigital number, since it uses as much as digits as its factorization.

2041014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637841 (or 637824 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2041014400 is about 45177.5873636475. The cubic root of 2041014400 is about 1268.4753232623.

Adding to 2041014400 its reverse (44101402), we get a palindrome (2085115802).

The spelling of 2041014400 in words is "two billion, forty-one million, fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 637817 1275634 2551268 3189085 5102536 6378170 10205072 12756340 15945425 20410144 25512680 31890850 40820288 51025360 63781700 81640576 102050720 127563400 204101440 255126800 408202880 510253600 1020507200 2041014400