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4400211312 = 243274365289
BaseRepresentation
bin1000001100100010…
…11110010101110000
3102100122202220011100
410012101132111300
533002423230222
62004343444400
7214020115260
oct40621362560
912318686140
104400211312
111958893982
12a29756700
13551808243
142da5717a0
151ab47b4ac
hex10645e570

4400211312 has 60 divisors (see below), whose sum is σ = 14073694960. Its totient is φ = 1257202944.

The previous prime is 4400211301. The next prime is 4400211313. The reversal of 4400211312 is 2131120044.

4400211312 is a `hidden beast` number, since 440 + 0 + 211 + 3 + 12 = 666.

It is a super-2 number, since 2×44002113122 = 38723719180505522688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4400211313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2181637 + ... + 2183652.

Almost surely, 24400211312 is an apocalyptic number.

4400211312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4400211312 is an abundant number, since it is smaller than the sum of its proper divisors (9673483648).

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

4400211312 is a wasteful number, since it uses less digits than its factorization.

4400211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4365310 (or 4365301 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4400211312 is about 66334.0886121156. The cubic root of 4400211312 is about 1638.6687729657.

Adding to 4400211312 its reverse (2131120044), we get a palindrome (6531331356).

The spelling of 4400211312 in words is "four billion, four hundred million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 4365289 8730578 13095867 17461156 26191734 30557023 34922312 39287601 52383468 61114046 69844624 78575202 91671069 104766936 122228092 157150404 183342138 209533872 244456184 275013207 314300808 366684276 488912368 550026414 628601616 733368552 1100052828 1466737104 2200105656 4400211312