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4122221411232 = 253214313268789
BaseRepresentation
bin111011111111000111100…
…010101111101110100000
3112121002011200211200202200
4323333013202233232200
51020014302140124412
612433420011013200
7603551326602111
oct73770742575640
915532150750680
104122221411232
11134a25157a941
12566ab773a200
1323b9542a0002
141037336d8208
1572365eab9dc
hex3bfc78afba0

4122221411232 has 36 divisors (see below), whose sum is σ = 11722567139010. Its totient is φ = 1374073803648.

The previous prime is 4122221411221. The next prime is 4122221411237. The reversal of 4122221411232 is 2321141222214.

4122221411232 is a `hidden beast` number, since 4 + 1 + 2 + 2 + 221 + 411 + 23 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3824668616976 + 297552794256 = 1955676^2 + 545484^2 .

It is a tau number, because it is divible by the number of its divisors (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 = 4122221411196 and 4122221411205.

It is not an unprimeable number, because it can be changed into a prime (4122221411237) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7156634107 + ... + 7156634682.

Almost surely, 24122221411232 is an apocalyptic number.

It is an amenable number.

4122221411232 is an abundant number, since it is smaller than the sum of its proper divisors (7600345727778).

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

4122221411232 is a wasteful number, since it uses less digits than its factorization.

4122221411232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14313268805 (or 14313268794 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 4122221411232 its reverse (2321141222214), we get a palindrome (6443362633446).

The spelling of 4122221411232 in words is "four trillion, one hundred twenty-two billion, two hundred twenty-one million, four hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 14313268789 28626537578 42939806367 57253075156 85879612734 114506150312 128819419101 171759225468 229012300624 257638838202 343518450936 458024601248 515277676404 687036901872 1030555352808 1374073803744 2061110705616 4122221411232