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4041412000 = 25531010353
BaseRepresentation
bin1111000011100011…
…0000110110100000
3101102122122000000221
43300320300312200
531234100141000
61505005252424
7202102302163
oct36070606640
911378560027
104041412000
1117942a971a
12949564114
134c5390b62
142a4a53ada
15189c0561a
hexf0e30da0

4041412000 has 48 divisors (see below), whose sum is σ = 9929759112. Its totient is φ = 1616563200.

The previous prime is 4041411971. The next prime is 4041412007. The reversal of 4041412000 is 2141404.

It can be written as a sum of positive squares in 4 ways, for example, as 1332834064 + 2708577936 = 36508^2 + 52044^2 .

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 (4041412007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 501177 + ... + 509176.

Almost surely, 24041412000 is an apocalyptic number.

4041412000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4041412000 is an abundant number, since it is smaller than the sum of its proper divisors (5888347112).

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

4041412000 is a wasteful number, since it uses less digits than its factorization.

4041412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010378 (or 1010360 counting only the distinct ones).

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

The square root of 4041412000 is about 63572.1007990140. The cubic root of 4041412000 is about 1592.8603759933.

Adding to 4041412000 its reverse (2141404), we get a palindrome (4043553404).

The spelling of 4041412000 in words is "four billion, forty-one million, four hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 1010353 2020706 4041412 5051765 8082824 10103530 16165648 20207060 25258825 32331296 40414120 50517650 80828240 101035300 126294125 161656480 202070600 252588250 404141200 505176500 808282400 1010353000 2020706000 4041412000