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4140024444 = 22321015111329
BaseRepresentation
bin1111011011000011…
…1100001001111100
3101200112012000212200
43312300330021330
531434321240234
61522451031500
7204410425053
oct36660741174
911615160780
104140024444
111834a32706
1297659b590
1350c939c0a
142b3ba339a
151936d3d99
hexf6c3c27c

4140024444 has 36 divisors (see below), whose sum is σ = 10467016560. Its totient is φ = 1379750400.

The previous prime is 4140024431. The next prime is 4140024463. The reversal of 4140024444 is 4444200414.

4140024444 is a `hidden beast` number, since 414 + 0 + 0 + 244 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 359772 + ... + 371100.

It is an arithmetic number, because the mean of its divisors is an integer number (290750460).

Almost surely, 24140024444 is an apocalyptic number.

It is an amenable number.

4140024444 is an abundant number, since it is smaller than the sum of its proper divisors (6326992116).

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

4140024444 is a wasteful number, since it uses less digits than its factorization.

4140024444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21490 (or 21485 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 4140024444 is about 64343.0217195307. The cubic root of 4140024444 is about 1605.7119338461.

Adding to 4140024444 its reverse (4444200414), we get a palindrome (8584224858).

The spelling of 4140024444 in words is "four billion, one hundred forty million, twenty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 10151 11329 20302 22658 30453 33987 40604 45316 60906 67974 91359 101961 121812 135948 182718 203922 365436 407844 115000679 230001358 345002037 460002716 690004074 1035006111 1380008148 2070012222 4140024444