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412144100 = 22524121441
BaseRepresentation
bin11000100100001…
…101000111100100
31001201112002102022
4120210031013210
51321002102400
6104521402312
713133111204
oct3044150744
91051462368
10412144100
111a170aa65
12b6039398
1367504064
143ca46404
15262b1b85
hex1890d1e4

412144100 has 18 divisors (see below), whose sum is σ = 894352914. Its totient is φ = 164857600.

The previous prime is 412144093. The next prime is 412144111. The reversal of 412144100 is 1441214.

It can be written as a sum of positive squares in 3 ways, for example, as 56670784 + 355473316 = 7528^2 + 18854^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2060621 + ... + 2060820.

It is an arithmetic number, because the mean of its divisors is an integer number (49686273).

Almost surely, 2412144100 is an apocalyptic number.

It is an amenable number.

412144100 is an abundant number, since it is smaller than the sum of its proper divisors (482208814).

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

412144100 is a wasteful number, since it uses less digits than its factorization.

412144100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4121455 (or 4121448 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 412144100 is about 20301.3324685844. The cubic root of 412144100 is about 744.1886276459.

Adding to 412144100 its reverse (1441214), we get a palindrome (413585314).

The spelling of 412144100 in words is "four hundred twelve million, one hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4121441 8242882 16485764 20607205 41214410 82428820 103036025 206072050 412144100