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2414136036 = 2231331717989
BaseRepresentation
bin1000111111100100…
…1100101011100100
320020020121211001210
42033321030223210
514421004323121
61035315151420
7113552550324
oct21771145344
96206554053
102414136036
111029798154
125745a5570
132c61c7c80
1418c89d284
15e1e19876
hex8fe4cae4

2414136036 has 192 divisors, whose sum is σ = 6502809600. Its totient is φ = 691891200.

The previous prime is 2414136019. The next prime is 2414136041. The reversal of 2414136036 is 6306314142.

It is a junction number, because it is equal to n+sod(n) for n = 2414135994 and 2414136012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27125080 + ... + 27125168.

It is an arithmetic number, because the mean of its divisors is an integer number (33868800).

Almost surely, 22414136036 is an apocalyptic number.

2414136036 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2414136036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3251404800).

2414136036 is an abundant number, since it is smaller than the sum of its proper divisors (4088673564).

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

2414136036 is a wasteful number, since it uses less digits than its factorization.

2414136036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 2414136036 is about 49133.8583463583. The cubic root of 2414136036 is about 1341.4894028081.

The spelling of 2414136036 in words is "two billion, four hundred fourteen million, one hundred thirty-six thousand, thirty-six".