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4123641312 = 253471729461
BaseRepresentation
bin1111010111001001…
…1100010111100000
3101122101100200110000
43311302130113200
531421123010222
61521103540000
7204121241610
oct36562342740
911571320400
104123641312
11182676282a
12970bba600
13509421b5b
142b193aa40
151920499ac
hexf5c9c5e0

4123641312 has 480 divisors, whose sum is σ = 15214288320. Its totient is φ = 1068318720.

The previous prime is 4123641311. The next prime is 4123641317. The reversal of 4123641312 is 2131463214.

It is a happy number.

4123641312 is a `hidden beast` number, since 4 + 1 + 2 + 3 + 641 + 3 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4123641311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8944762 + ... + 8945222.

It is an arithmetic number, because the mean of its divisors is an integer number (31696434).

Almost surely, 24123641312 is an apocalyptic number.

4123641312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4123641312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7607144160).

4123641312 is an abundant number, since it is smaller than the sum of its proper divisors (11090647008).

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

4123641312 is a wasteful number, since it uses less digits than its factorization.

4123641312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 519 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 4123641312 is about 64215.5846504569. The cubic root of 4123641312 is about 1603.5910633020.

The spelling of 4123641312 in words is "four billion, one hundred twenty-three million, six hundred forty-one thousand, three hundred twelve".