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2114439444 = 22331323137101
BaseRepresentation
bin111111000000111…
…1100100100010100
312110100200122122000
41332001330210110
513312244030234
6545451435300
7103253303325
oct17601744424
95410618560
102114439444
11995600717
124b0155b30
132790a5300
14160b6844c
15c596a899
hex7e07c914

2114439444 has 288 divisors, whose sum is σ = 6355399680. Its totient is φ = 606528000.

The previous prime is 2114439421. The next prime is 2114439449. The reversal of 2114439444 is 4449344112.

It is a happy number.

2114439444 is a `hidden beast` number, since 211 + 4 + 439 + 4 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 2114439399 and 2114439408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114439449) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20934994 + ... + 20935094.

It is an arithmetic number, because the mean of its divisors is an integer number (22067360).

Almost surely, 22114439444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114439444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177699840).

2114439444 is an abundant number, since it is smaller than the sum of its proper divisors (4240960236).

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

2114439444 is a wasteful number, since it uses less digits than its factorization.

2114439444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 187 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 2114439444 is about 45983.0343061438. The cubic root of 2114439444 is about 1283.5075192289.

The spelling of 2114439444 in words is "two billion, one hundred fourteen million, four hundred thirty-nine thousand, four hundred forty-four".