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2814418840 = 23570360471
BaseRepresentation
bin1010011111000000…
…1001111110011000
321021010211021211211
42213300021332120
521230442400330
61143134432504
7126513110512
oct24760117630
97233737754
102814418840
111214736592
12666662734
1335b1081bc
141c9ad8bb2
15117136d2a
hexa7c09f98

2814418840 has 16 divisors (see below), whose sum is σ = 6332442480. Its totient is φ = 1125767520.

The previous prime is 2814418837. The next prime is 2814418847. The reversal of 2814418840 is 488144182.

2814418840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 70360471 = 2814418840 / (2 + 8 + 1 + 4 + 4 + 1 + 8 + 8 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 2814418793 and 2814418802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2814418847) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35180196 + ... + 35180275.

It is an arithmetic number, because the mean of its divisors is an integer number (395777655).

Almost surely, 22814418840 is an apocalyptic number.

2814418840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2814418840 is an abundant number, since it is smaller than the sum of its proper divisors (3518023640).

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

2814418840 is a wasteful number, since it uses less digits than its factorization.

2814418840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70360482 (or 70360478 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 2814418840 is about 53051.0965013919. The cubic root of 2814418840 is about 1411.8749832470.

The spelling of 2814418840 in words is "two billion, eight hundred fourteen million, four hundred eighteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 70360471 140720942 281441884 351802355 562883768 703604710 1407209420 2814418840