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2041114000 = 24531020557
BaseRepresentation
bin111100110101000…
…1110110110010000
312021020201100000211
41321222032312100
513140011122000
6534312053504
7101403116452
oct17152166620
95236640024
102041114000
11958179182
1248b694294
13266b40c83
1415511c2d2
15be2d47ba
hex79a8ed90

2041114000 has 40 divisors (see below), whose sum is σ = 4935418488. Its totient is φ = 816444800.

The previous prime is 2041113983. The next prime is 2041114043. The reversal of 2041114000 is 4111402.

It can be written as a sum of positive squares in 4 ways, for example, as 1327104 + 2039786896 = 1152^2 + 45164^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×20411140002 = 8332292721992000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 508279 + ... + 512278.

Almost surely, 22041114000 is an apocalyptic number.

2041114000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2041114000 is an abundant number, since it is smaller than the sum of its proper divisors (2894304488).

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

2041114000 is a wasteful number, since it uses less digits than its factorization.

2041114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020580 (or 1020564 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2041114000 is about 45178.6896667002. The cubic root of 2041114000 is about 1268.4959564806.

Adding to 2041114000 its reverse (4111402), we get a palindrome (2045225402).

The spelling of 2041114000 in words is "two billion, forty-one million, one hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 1020557 2041114 4082228 5102785 8164456 10205570 16328912 20411140 25513925 40822280 51027850 81644560 102055700 127569625 204111400 255139250 408222800 510278500 1020557000 2041114000