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2413141128 = 233233515849
BaseRepresentation
bin1000111111010101…
…1001110010001000
320020011202021022100
42033311121302020
514420231004003
61035241553400
7113541234606
oct21765316210
96204667270
102413141128
111029178712
125741a5860
132c5c3a178
1418c6c0876
15e1cbeba3
hex8fd59c88

2413141128 has 24 divisors (see below), whose sum is σ = 6535590750. Its totient is φ = 804380352.

The previous prime is 2413141121. The next prime is 2413141183. The reversal of 2413141128 is 8211413142.

2413141128 is a `hidden beast` number, since 241 + 3 + 1 + 411 + 2 + 8 = 666.

2413141128 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1574343684 + 838797444 = 39678^2 + 28962^2 .

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

It is a super-2 number, since 2×24131411282 = 11646500207290224768, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2413141121) 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, 16757853 + ... + 16757996.

Almost surely, 22413141128 is an apocalyptic number.

It is an amenable number.

2413141128 is an abundant number, since it is smaller than the sum of its proper divisors (4122449622).

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

2413141128 is a wasteful number, since it uses less digits than its factorization.

2413141128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33515861 (or 33515854 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 2413141128 is about 49123.7328386189. The cubic root of 2413141128 is about 1341.3050936797.

The spelling of 2413141128 in words is "two billion, four hundred thirteen million, one hundred forty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 33515849 67031698 100547547 134063396 201095094 268126792 301642641 402190188 603285282 804380376 1206570564 2413141128