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2444314140 = 2232513579523
BaseRepresentation
bin1001000110110001…
…0100011000011100
320022100102000122100
42101230110120130
520001221023030
61042314045100
7114400220202
oct22154243034
96270360570
102444314140
11104482a434
12582719790
132cc533038
141928b7072
15e48cb360
hex91b1461c

2444314140 has 36 divisors (see below), whose sum is σ = 7414420104. Its totient is φ = 651817056.

The previous prime is 2444314139. The next prime is 2444314153. The reversal of 2444314140 is 414134442.

2444314140 is a `hidden beast` number, since 244 + 4 + 3 + 1 + 414 + 0 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6789582 + ... + 6789941.

It is an arithmetic number, because the mean of its divisors is an integer number (205956114).

Almost surely, 22444314140 is an apocalyptic number.

2444314140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2444314140 is an abundant number, since it is smaller than the sum of its proper divisors (4970105964).

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

2444314140 is a wasteful number, since it uses less digits than its factorization.

2444314140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13579538 (or 13579533 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2444314140 is about 49440.0054611647. The cubic root of 2444314140 is about 1347.0560704698.

Adding to 2444314140 its reverse (414134442), we get a palindrome (2858448582).

It can be divided in two parts, 24443 and 14140, that added together give a palindrome (38583).

The spelling of 2444314140 in words is "two billion, four hundred forty-four million, three hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 13579523 27159046 40738569 54318092 67897615 81477138 122215707 135795230 162954276 203692845 244431414 271590460 407385690 488862828 611078535 814771380 1222157070 2444314140