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424141416 = 23325890853
BaseRepresentation
bin11001010001111…
…110001001101000
31002120002121122100
4121101332021220
51332040011131
6110030453400
713340066616
oct3121761150
91076077570
10424141416
111a84647a6
12ba064260
1369b44a6a
144048a6b6
15273817e6
hex1947e268

424141416 has 24 divisors (see below), whose sum is σ = 1148716530. Its totient is φ = 141380448.

The previous prime is 424141409. The next prime is 424141429. The reversal of 424141416 is 614141424.

424141416 is a `hidden beast` number, since 4 + 241 + 4 + 1 + 416 = 666.

It can be written as a sum of positive squares in only one way, i.e., 383768100 + 40373316 = 19590^2 + 6354^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 424141416.

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, 2945355 + ... + 2945498.

Almost surely, 2424141416 is an apocalyptic number.

It is an amenable number.

424141416 is an abundant number, since it is smaller than the sum of its proper divisors (724575114).

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

424141416 is a wasteful number, since it uses less digits than its factorization.

424141416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5890865 (or 5890858 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 424141416 is about 20594.6938797351. The cubic root of 424141416 is about 751.3406634009.

The spelling of 424141416 in words is "four hundred twenty-four million, one hundred forty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5890853 11781706 17672559 23563412 35345118 47126824 53017677 70690236 106035354 141380472 212070708 424141416